Add unitary tests and documentation

Fix debug exception mechanism



git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/alpha_complex_3d_module_vincent@3712 636b058d-ea47-450e-bf9e-a15bfbe3eedb

Former-commit-id: 43f66f3843981ab9cd74c117c2b1c6bb9b94810b

1 files changed, 663 insertions, 0 deletions

diff --git a/src/Alpha_complex/test/Alpha_complex_3d_unit_test.cpp b/src/Alpha_complex/test/Alpha_complex_3d_unit_test.cpp
new file mode 100644
index 00000000..7873deca
--- /dev/null
+++ b/src/Alpha_complex/test/Alpha_complex_3d_unit_test.cpp
@@ -0,0 +1,663 @@
+/*    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) 2015 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/>.
+ */
+
+#define BOOST_TEST_DYN_LINK
+#define BOOST_TEST_MODULE "alpha_complex_3d"
+#include <boost/test/unit_test.hpp>
+#include <boost/mpl/list.hpp>
+
+#include <cmath>  // float comparison
+#include <limits>
+#include <string>
+#include <vector>
+#include <random>
+
+#include <gudhi/Alpha_complex_3d.h>
+#include <gudhi/Alpha_complex_3d_options.h>
+// to construct a simplex_tree from Delaunay_triangulation
+#include <gudhi/graph_simplicial_complex.h>
+#include <gudhi/Simplex_tree.h>
+#include <gudhi/Unitary_tests_utils.h>
+#include <gudhi/Points_3D_off_io.h>
+
+using Alpha_shapes_3d = Gudhi::alpha_complex::Alpha_shapes_3d;
+using Exact_alpha_shapes_3d = Gudhi::alpha_complex::Exact_alpha_shapes_3d;
+using Weighted_alpha_shapes_3d = Gudhi::alpha_complex::Weighted_alpha_shapes_3d;
+using Periodic_alpha_shapes_3d = Gudhi::alpha_complex::Periodic_alpha_shapes_3d;
+using Weighted_periodic_alpha_shapes_3d = Gudhi::alpha_complex::Weighted_periodic_alpha_shapes_3d;
+
+BOOST_AUTO_TEST_CASE(Alpha_complex_3d_from_points) {
+  // -----------------
+  // Non exact version
+  // -----------------
+  std::cout << "Alpha complex 3d" << std::endl;
+  std::vector<Alpha_shapes_3d::Point_3> points;
+  points.push_back(Alpha_shapes_3d::Point_3(0.0, 0.0, 0.0));
+  points.push_back(Alpha_shapes_3d::Point_3(0.0, 0.0, 0.2));
+  points.push_back(Alpha_shapes_3d::Point_3(0.2, 0.0, 0.2));
+  points.push_back(Alpha_shapes_3d::Point_3(0.6, 0.6, 0.0));
+  points.push_back(Alpha_shapes_3d::Point_3(0.8, 0.8, 0.2));
+  points.push_back(Alpha_shapes_3d::Point_3(0.2, 0.8, 0.6));
+
+  Gudhi::alpha_complex::Alpha_complex_3d<Alpha_shapes_3d> alpha_complex(points);
+
+  Gudhi::Simplex_tree<> stree;
+  alpha_complex.create_complex(stree);
+
+  // -----------------
+  // Exact version
+  // -----------------
+  std::cout << "Exact alpha complex 3d" << std::endl;
+  using Exact_alpha_shapes_3d = Gudhi::alpha_complex::Exact_alpha_shapes_3d;
+
+  Gudhi::alpha_complex::Alpha_complex_3d<Exact_alpha_shapes_3d> exact_alpha_complex(points);
+
+  Gudhi::Simplex_tree<> exact_stree;
+  exact_alpha_complex.create_complex(exact_stree);
+
+  // ---------------------
+  // Compare both versions
+  // ---------------------
+  std::cout << "Exact Alpha complex 3d is of dimension " << exact_stree.dimension()
+            << " - Non exact is " << stree.dimension() << std::endl;
+  BOOST_CHECK(exact_stree.dimension() == stree.dimension());
+  std::cout << "Exact Alpha complex 3d num_simplices " << exact_stree.num_simplices()
+            << " - Non exact is " << stree.num_simplices() << std::endl;
+  BOOST_CHECK(exact_stree.num_simplices() == stree.num_simplices());
+  std::cout << "Exact Alpha complex 3d num_vertices " << exact_stree.num_vertices()
+            << " - Non exact is " << stree.num_vertices() << std::endl;
+  BOOST_CHECK(exact_stree.num_vertices() == stree.num_vertices());
+
+  auto sh = stree.filtration_simplex_range().begin();
+  auto sh_exact = exact_stree.filtration_simplex_range().begin();
+  while(sh != stree.filtration_simplex_range().end() && sh_exact != exact_stree.filtration_simplex_range().end()) {
+    std::vector<int> simplex;
+    std::vector<int> exact_simplex;
+    std::cout << "Non-exact ( ";
+    for (auto vertex : stree.simplex_vertex_range(*sh)) {
+      simplex.push_back(vertex);
+      std::cout << vertex << " ";
+    }
+    std::cout << ") -> " << "[" << stree.filtration(*sh) << "] ";
+    std::cout << std::endl;
+    std::cout << "Exact     ( ";
+    for (auto vertex : exact_stree.simplex_vertex_range(*sh_exact)) {
+      exact_simplex.push_back(vertex);
+      std::cout << vertex << " ";
+    }
+    std::cout << ") -> " << "[" << exact_stree.filtration(*sh_exact) << "] ";
+    std::cout << std::endl;
+    BOOST_CHECK(exact_simplex == simplex);
+
+    // Exact and non-exact version is not exactly the same due to float comparison
+    GUDHI_TEST_FLOAT_EQUALITY_CHECK(exact_stree.filtration(*sh_exact), stree.filtration(*sh));
+    ++sh;
+    ++sh_exact;
+  }
+}
+
+#ifdef GUDHI_DEBUG
+BOOST_AUTO_TEST_CASE(Alpha_complex_weighted_throw) {
+  std::vector<Weighted_alpha_shapes_3d::Point_3> w_points;
+  w_points.push_back(Weighted_alpha_shapes_3d::Point_3(0.0, 0.0, 0.0));
+  w_points.push_back(Weighted_alpha_shapes_3d::Point_3(0.0, 0.0, 0.2));
+  w_points.push_back(Weighted_alpha_shapes_3d::Point_3(0.2, 0.0, 0.2));
+  // w_points.push_back(Weighted_alpha_shapes_3d::Point_3(0.6, 0.6, 0.0));
+  // w_points.push_back(Weighted_alpha_shapes_3d::Point_3(0.8, 0.8, 0.2));
+  // w_points.push_back(Weighted_alpha_shapes_3d::Point_3(0.2, 0.8, 0.6));
+
+  // weights size is different from w_points size to make weighted Alpha_complex_3d throw in debug mode
+  std::vector<double> weights = {0.01, 0.005, 0.006, 0.01, 0.009, 0.001};
+
+  std::cout << "Check exception throw in debug mode" << std::endl;
+  BOOST_CHECK_THROW (Gudhi::alpha_complex::Alpha_complex_3d<Weighted_alpha_shapes_3d> wac(w_points, weights),
+                     std::invalid_argument);
+}
+#endif
+
+BOOST_AUTO_TEST_CASE(Alpha_complex_weighted) {
+  std::cout << "Weighted alpha complex 3d" << std::endl;
+  using Weighted_alpha_shapes_3d = Gudhi::alpha_complex::Weighted_alpha_shapes_3d;
+  std::vector<Weighted_alpha_shapes_3d::Point_3> w_points;
+  w_points.push_back(Weighted_alpha_shapes_3d::Point_3(0.0, 0.0, 0.0));
+  w_points.push_back(Weighted_alpha_shapes_3d::Point_3(0.0, 0.0, 0.2));
+  w_points.push_back(Weighted_alpha_shapes_3d::Point_3(0.2, 0.0, 0.2));
+  w_points.push_back(Weighted_alpha_shapes_3d::Point_3(0.6, 0.6, 0.0));
+  w_points.push_back(Weighted_alpha_shapes_3d::Point_3(0.8, 0.8, 0.2));
+  w_points.push_back(Weighted_alpha_shapes_3d::Point_3(0.2, 0.8, 0.6));
+
+  // weights size is different from w_points size to make weighted Alpha_complex_3d throw in debug mode
+  std::vector<double> weights = {0.01, 0.005, 0.006, 0.01, 0.009, 0.001};
+
+  Gudhi::alpha_complex::Alpha_complex_3d<Weighted_alpha_shapes_3d> weighted_alpha_complex(w_points, weights);
+  Gudhi::Simplex_tree<> w_stree;
+  weighted_alpha_complex.create_complex(w_stree);
+
+  std::cout << "Weighted Alpha complex 3d is of dimension " << w_stree.dimension() << std::endl;
+  BOOST_CHECK(w_stree.dimension() == 3);
+  std::cout << "    num_simplices " << w_stree.num_simplices() << std::endl;
+  BOOST_CHECK(w_stree.num_simplices() == 35);
+  std::cout << "    num_vertices " << w_stree.num_vertices() << std::endl;
+  BOOST_CHECK(w_stree.num_vertices() == 6);
+}
+
+#ifdef GUDHI_DEBUG
+BOOST_AUTO_TEST_CASE(Alpha_complex_periodic_throw) {
+  std::cout << "Periodic alpha complex 3d exception throw" << std::endl;
+  std::vector<Periodic_alpha_shapes_3d::Point_3> p_points;
+
+  // Not important, this is not what we want to check
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.0, 0.0, 0.0));
+
+  std::cout << "Check exception throw in debug mode" << std::endl;
+  using Periodic_alpha_complex_3d = Gudhi::alpha_complex::Alpha_complex_3d<Periodic_alpha_shapes_3d>;
+  // Check it throws an exception when the cuboid is not iso
+  BOOST_CHECK_THROW (Periodic_alpha_complex_3d periodic_alpha_complex(p_points, 0., 0., 0., 0.9, 1., 1.),
+                     std::invalid_argument);
+  BOOST_CHECK_THROW (Periodic_alpha_complex_3d periodic_alpha_complex(p_points, 0., 0., 0., 1., 0.9, 1.),
+                     std::invalid_argument);
+  BOOST_CHECK_THROW (Periodic_alpha_complex_3d periodic_alpha_complex(p_points, 0., 0., 0., 1., 1., 0.9),
+                     std::invalid_argument);
+
+}
+#endif
+
+BOOST_AUTO_TEST_CASE(Alpha_complex_periodic) {
+  std::cout << "Periodic alpha complex 3d" << std::endl;
+  std::vector<Periodic_alpha_shapes_3d::Point_3> p_points;
+
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.0, 0.0, 0.0));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.0, 0.0, 0.2));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.0, 0.0, 0.4));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.0, 0.0, 0.6));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.0, 0.0, 0.8));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.0, 0.2, 0.0));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.0, 0.2, 0.2));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.0, 0.2, 0.4));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.0, 0.2, 0.6));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.0, 0.2, 0.8));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.0, 0.4, 0.0));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.0, 0.4, 0.2));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.0, 0.4, 0.4));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.0, 0.4, 0.6));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.0, 0.4, 0.8));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.0, 0.6, 0.0));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.0, 0.6, 0.2));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.0, 0.6, 0.4));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.0, 0.6, 0.6));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.0, 0.6, 0.8));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.0, 0.8, 0.0));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.0, 0.8, 0.2));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.0, 0.8, 0.4));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.0, 0.8, 0.6));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.0, 0.8, 0.8));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.2, 0.0, 0.0));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.2, 0.0, 0.2));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.2, 0.0, 0.4));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.2, 0.0, 0.6));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.2, 0.0, 0.8));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.2, 0.2, 0.0));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.2, 0.2, 0.2));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.2, 0.2, 0.4));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.2, 0.2, 0.6));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.2, 0.2, 0.8));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.2, 0.4, 0.0));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.2, 0.4, 0.2));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.2, 0.4, 0.4));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.2, 0.4, 0.6));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.2, 0.4, 0.8));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.2, 0.6, 0.0));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.2, 0.6, 0.2));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.2, 0.6, 0.4));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.2, 0.6, 0.6));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.2, 0.6, 0.8));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.2, 0.8, 0.0));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.2, 0.8, 0.2));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.2, 0.8, 0.4));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.2, 0.8, 0.6));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.2, 0.8, 0.8));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.4, 0.0, 0.0));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.4, 0.0, 0.2));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.4, 0.0, 0.4));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.4, 0.0, 0.6));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.4, 0.0, 0.8));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.4, 0.2, 0.0));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.4, 0.2, 0.2));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.4, 0.2, 0.4));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.4, 0.2, 0.6));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.4, 0.2, 0.8));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.4, 0.4, 0.0));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.4, 0.4, 0.2));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.4, 0.4, 0.4));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.4, 0.4, 0.6));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.4, 0.4, 0.8));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.4, 0.6, 0.0));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.4, 0.6, 0.2));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.4, 0.6, 0.4));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.4, 0.6, 0.6));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.4, 0.6, 0.8));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.4, 0.8, 0.0));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.4, 0.8, 0.2));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.4, 0.8, 0.4));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.4, 0.8, 0.6));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.4, 0.8, 0.8));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.6, 0.0, 0.0));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.6, 0.0, 0.2));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.6, 0.0, 0.4));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.6, 0.0, 0.6));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.6, 0.0, 0.8));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.6, 0.1, 0.0));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.6, 0.2, 0.0));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.6, 0.2, 0.2));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.6, 0.2, 0.4));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.6, 0.2, 0.6));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.6, 0.2, 0.8));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.6, 0.4, 0.0));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.6, 0.4, 0.2));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.6, 0.4, 0.4));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.6, 0.4, 0.6));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.6, 0.4, 0.8));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.6, 0.6, 0.0));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.6, 0.6, 0.2));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.6, 0.6, 0.4));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.6, 0.6, 0.6));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.6, 0.6, 0.8));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.6, 0.8, 0.0));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.6, 0.8, 0.2));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.6, 0.8, 0.4));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.6, 0.8, 0.6));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.6, 0.8, 0.8));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.8, 0.0, 0.0));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.8, 0.0, 0.2));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.8, 0.0, 0.4));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.8, 0.0, 0.6));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.8, 0.0, 0.8));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.8, 0.2, 0.0));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.8, 0.2, 0.2));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.8, 0.2, 0.4));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.8, 0.2, 0.6));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.8, 0.2, 0.8));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.8, 0.4, 0.0));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.8, 0.4, 0.2));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.8, 0.4, 0.4));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.8, 0.4, 0.6));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.8, 0.4, 0.8));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.8, 0.6, 0.0));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.8, 0.6, 0.2));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.8, 0.6, 0.4));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.8, 0.6, 0.6));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.8, 0.6, 0.8));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.8, 0.8, 0.0));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.8, 0.8, 0.2));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.8, 0.8, 0.4));
+  p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.8, 0.8, 0.6));
+
+  Gudhi::alpha_complex::Alpha_complex_3d<Periodic_alpha_shapes_3d> periodic_alpha_complex(p_points,
+                                                                                          0., 0., 0.,
+                                                                                          1., 1., 1.);
+
+  Gudhi::Simplex_tree<> p_stree;
+  periodic_alpha_complex.create_complex(p_stree);
+
+  std::cout << "Periodic Alpha complex 3d is of dimension " << p_stree.dimension() << std::endl;
+  BOOST_CHECK(p_stree.dimension() == 3);
+  std::cout << "    num_simplices " << p_stree.num_simplices() << std::endl;
+  BOOST_CHECK(p_stree.num_simplices() == 3266);
+  std::cout << "    num_vertices " << p_stree.num_vertices() << std::endl;
+  BOOST_CHECK(p_stree.num_vertices() == 125);
+
+}
+
+#ifdef GUDHI_DEBUG
+BOOST_AUTO_TEST_CASE(Alpha_complex_weighted_periodic_throw) {
+  std::cout << "Weighted periodic alpha complex 3d exception throw" << std::endl;
+
+  std::vector<Weighted_periodic_alpha_shapes_3d::Point_3> wp_points;
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.0, 0.0, 0.0));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.0, 0.0, 0.2));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.0, 0.0, 0.4));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.0, 0.0, 0.6));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.0, 0.0, 0.8));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.0, 0.2, 0.0));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.0, 0.2, 0.2));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.0, 0.2, 0.4));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.0, 0.2, 0.6));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.0, 0.2, 0.8));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.0, 0.4, 0.0));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.0, 0.4, 0.2));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.0, 0.4, 0.4));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.0, 0.4, 0.6));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.0, 0.4, 0.8));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.0, 0.6, 0.0));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.0, 0.6, 0.2));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.0, 0.6, 0.4));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.0, 0.6, 0.6));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.0, 0.6, 0.8));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.0, 0.8, 0.0));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.0, 0.8, 0.2));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.0, 0.8, 0.4));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.0, 0.8, 0.6));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.0, 0.8, 0.8));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.2, 0.0, 0.0));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.2, 0.0, 0.2));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.2, 0.0, 0.4));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.2, 0.0, 0.6));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.2, 0.0, 0.8));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.2, 0.2, 0.0));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.2, 0.2, 0.2));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.2, 0.2, 0.4));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.2, 0.2, 0.6));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.2, 0.2, 0.8));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.2, 0.4, 0.0));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.2, 0.4, 0.2));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.2, 0.4, 0.4));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.2, 0.4, 0.6));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.2, 0.4, 0.8));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.2, 0.6, 0.0));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.2, 0.6, 0.2));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.2, 0.6, 0.4));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.2, 0.6, 0.6));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.2, 0.6, 0.8));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.2, 0.8, 0.0));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.2, 0.8, 0.2));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.2, 0.8, 0.4));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.2, 0.8, 0.6));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.2, 0.8, 0.8));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.4, 0.0, 0.0));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.4, 0.0, 0.2));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.4, 0.0, 0.4));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.4, 0.0, 0.6));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.4, 0.0, 0.8));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.4, 0.2, 0.0));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.4, 0.2, 0.2));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.4, 0.2, 0.4));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.4, 0.2, 0.6));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.4, 0.2, 0.8));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.4, 0.4, 0.0));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.4, 0.4, 0.2));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.4, 0.4, 0.4));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.4, 0.4, 0.6));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.4, 0.4, 0.8));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.4, 0.6, 0.0));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.4, 0.6, 0.2));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.4, 0.6, 0.4));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.4, 0.6, 0.6));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.4, 0.6, 0.8));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.4, 0.8, 0.0));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.4, 0.8, 0.2));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.4, 0.8, 0.4));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.4, 0.8, 0.6));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.4, 0.8, 0.8));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.6, 0.0, 0.0));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.6, 0.0, 0.2));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.6, 0.0, 0.4));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.6, 0.0, 0.6));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.6, 0.0, 0.8));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.6, 0.1, 0.0));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.6, 0.2, 0.0));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.6, 0.2, 0.2));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.6, 0.2, 0.4));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.6, 0.2, 0.6));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.6, 0.2, 0.8));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.6, 0.4, 0.0));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.6, 0.4, 0.2));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.6, 0.4, 0.4));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.6, 0.4, 0.6));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.6, 0.4, 0.8));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.6, 0.6, 0.0));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.6, 0.6, 0.2));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.6, 0.6, 0.4));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.6, 0.6, 0.6));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.6, 0.6, 0.8));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.6, 0.8, 0.0));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.6, 0.8, 0.2));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.6, 0.8, 0.4));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.6, 0.8, 0.6));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.6, 0.8, 0.8));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.8, 0.0, 0.0));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.8, 0.0, 0.2));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.8, 0.0, 0.4));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.8, 0.0, 0.6));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.8, 0.0, 0.8));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.8, 0.2, 0.0));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.8, 0.2, 0.2));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.8, 0.2, 0.4));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.8, 0.2, 0.6));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.8, 0.2, 0.8));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.8, 0.4, 0.0));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.8, 0.4, 0.2));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.8, 0.4, 0.4));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.8, 0.4, 0.6));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.8, 0.4, 0.8));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.8, 0.6, 0.0));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.8, 0.6, 0.2));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.8, 0.6, 0.4));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.8, 0.6, 0.6));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.8, 0.6, 0.8));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.8, 0.8, 0.0));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.8, 0.8, 0.2));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.8, 0.8, 0.4));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.8, 0.8, 0.6));
+
+  std::vector<double> p_weights;
+
+  std::random_device rd;
+  std::mt19937 mt(rd());
+  // Weights must be in range [0, <1/64]
+  std::uniform_real_distribution<double> dist(0.0, 0.0156245);
+
+  for (std::size_t i = 0; i < wp_points.size(); ++i) {
+    double value = dist(mt);
+    p_weights.push_back(value);
+  }
+
+  std::cout << "Cuboid is not iso exception" << std::endl;
+  using Weighted_periodic_alpha_complex_3d = Gudhi::alpha_complex::Alpha_complex_3d<Weighted_periodic_alpha_shapes_3d>;
+  // Check it throws an exception when the cuboid is not iso
+  BOOST_CHECK_THROW (Weighted_periodic_alpha_complex_3d periodic_alpha_complex(wp_points, p_weights, 0., 0., 0., 0.9, 1., 1.),
+                     std::invalid_argument);
+  BOOST_CHECK_THROW (Weighted_periodic_alpha_complex_3d periodic_alpha_complex(wp_points, p_weights, 0., 0., 0., 1., 0.9, 1.),
+                     std::invalid_argument);
+  BOOST_CHECK_THROW (Weighted_periodic_alpha_complex_3d periodic_alpha_complex(wp_points, p_weights, 0., 0., 0., 1., 1., 0.9),
+                     std::invalid_argument);
+
+  std::cout << "0 <= point.weight() < 1/64 * domain_size * domain_size exception" << std::endl;
+  // Weights must be in range [0, <1/64]
+  p_weights[25] = 1.0;
+  BOOST_CHECK_THROW (Weighted_periodic_alpha_complex_3d periodic_alpha_complex(wp_points, p_weights, 0., 0., 0., 1., 1., 1.),
+                     std::invalid_argument);
+  // Weights must be in range [0, <1/64]
+  p_weights[25] = 0.012;
+  p_weights[14] = -0.012;
+  BOOST_CHECK_THROW (Weighted_periodic_alpha_complex_3d periodic_alpha_complex(wp_points, p_weights, 0., 0., 0., 1., 1., 1.),
+                     std::invalid_argument);
+  p_weights[14] = 0.005;
+
+  std::cout << "wp_points and p_weights size exception" << std::endl;
+  // Weights and points must have the same size
+  // + 1
+  p_weights.push_back(0.007);
+  BOOST_CHECK_THROW (Weighted_periodic_alpha_complex_3d periodic_alpha_complex(wp_points, p_weights, 0., 0., 0., 1., 1., 1.),
+                     std::invalid_argument);
+  // - 1
+  p_weights.pop_back();
+  p_weights.pop_back();
+  BOOST_CHECK_THROW (Weighted_periodic_alpha_complex_3d periodic_alpha_complex(wp_points, p_weights, 0., 0., 0., 1., 1., 1.),
+                     std::invalid_argument);
+}
+#endif
+
+BOOST_AUTO_TEST_CASE(Alpha_complex_weighted_periodic) {
+  std::cout << "Weighted periodic alpha complex 3d" << std::endl;
+
+  std::vector<Weighted_periodic_alpha_shapes_3d::Point_3> wp_points;
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.0, 0.0, 0.0));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.0, 0.0, 0.2));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.0, 0.0, 0.4));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.0, 0.0, 0.6));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.0, 0.0, 0.8));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.0, 0.2, 0.0));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.0, 0.2, 0.2));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.0, 0.2, 0.4));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.0, 0.2, 0.6));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.0, 0.2, 0.8));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.0, 0.4, 0.0));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.0, 0.4, 0.2));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.0, 0.4, 0.4));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.0, 0.4, 0.6));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.0, 0.4, 0.8));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.0, 0.6, 0.0));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.0, 0.6, 0.2));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.0, 0.6, 0.4));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.0, 0.6, 0.6));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.0, 0.6, 0.8));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.0, 0.8, 0.0));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.0, 0.8, 0.2));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.0, 0.8, 0.4));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.0, 0.8, 0.6));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.0, 0.8, 0.8));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.2, 0.0, 0.0));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.2, 0.0, 0.2));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.2, 0.0, 0.4));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.2, 0.0, 0.6));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.2, 0.0, 0.8));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.2, 0.2, 0.0));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.2, 0.2, 0.2));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.2, 0.2, 0.4));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.2, 0.2, 0.6));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.2, 0.2, 0.8));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.2, 0.4, 0.0));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.2, 0.4, 0.2));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.2, 0.4, 0.4));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.2, 0.4, 0.6));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.2, 0.4, 0.8));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.2, 0.6, 0.0));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.2, 0.6, 0.2));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.2, 0.6, 0.4));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.2, 0.6, 0.6));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.2, 0.6, 0.8));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.2, 0.8, 0.0));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.2, 0.8, 0.2));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.2, 0.8, 0.4));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.2, 0.8, 0.6));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.2, 0.8, 0.8));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.4, 0.0, 0.0));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.4, 0.0, 0.2));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.4, 0.0, 0.4));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.4, 0.0, 0.6));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.4, 0.0, 0.8));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.4, 0.2, 0.0));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.4, 0.2, 0.2));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.4, 0.2, 0.4));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.4, 0.2, 0.6));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.4, 0.2, 0.8));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.4, 0.4, 0.0));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.4, 0.4, 0.2));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.4, 0.4, 0.4));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.4, 0.4, 0.6));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.4, 0.4, 0.8));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.4, 0.6, 0.0));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.4, 0.6, 0.2));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.4, 0.6, 0.4));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.4, 0.6, 0.6));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.4, 0.6, 0.8));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.4, 0.8, 0.0));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.4, 0.8, 0.2));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.4, 0.8, 0.4));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.4, 0.8, 0.6));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.4, 0.8, 0.8));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.6, 0.0, 0.0));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.6, 0.0, 0.2));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.6, 0.0, 0.4));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.6, 0.0, 0.6));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.6, 0.0, 0.8));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.6, 0.1, 0.0));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.6, 0.2, 0.0));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.6, 0.2, 0.2));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.6, 0.2, 0.4));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.6, 0.2, 0.6));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.6, 0.2, 0.8));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.6, 0.4, 0.0));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.6, 0.4, 0.2));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.6, 0.4, 0.4));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.6, 0.4, 0.6));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.6, 0.4, 0.8));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.6, 0.6, 0.0));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.6, 0.6, 0.2));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.6, 0.6, 0.4));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.6, 0.6, 0.6));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.6, 0.6, 0.8));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.6, 0.8, 0.0));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.6, 0.8, 0.2));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.6, 0.8, 0.4));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.6, 0.8, 0.6));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.6, 0.8, 0.8));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.8, 0.0, 0.0));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.8, 0.0, 0.2));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.8, 0.0, 0.4));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.8, 0.0, 0.6));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.8, 0.0, 0.8));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.8, 0.2, 0.0));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.8, 0.2, 0.2));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.8, 0.2, 0.4));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.8, 0.2, 0.6));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.8, 0.2, 0.8));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.8, 0.4, 0.0));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.8, 0.4, 0.2));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.8, 0.4, 0.4));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.8, 0.4, 0.6));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.8, 0.4, 0.8));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.8, 0.6, 0.0));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.8, 0.6, 0.2));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.8, 0.6, 0.4));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.8, 0.6, 0.6));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.8, 0.6, 0.8));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.8, 0.8, 0.0));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.8, 0.8, 0.2));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.8, 0.8, 0.4));
+  wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.8, 0.8, 0.6));
+
+  std::vector<double> p_weights;
+
+  std::random_device rd;
+  std::mt19937 mt(rd());
+  // Weights must be in range [0, <1/64]
+  std::uniform_real_distribution<double> dist(0.01, 0.0156245);
+
+  for (std::size_t i = 0; i < wp_points.size(); ++i) {
+    double value = dist(mt);
+    p_weights.push_back(value);
+  }
+
+  using Weighted_periodic_alpha_complex_3d = Gudhi::alpha_complex::Alpha_complex_3d<Weighted_periodic_alpha_shapes_3d>;
+  Weighted_periodic_alpha_complex_3d weighted_periodic_alpha_complex(wp_points, p_weights, 0., 0., 0., 1., 1., 1.);
+
+  Gudhi::Simplex_tree<> wp_stree;
+  weighted_periodic_alpha_complex.create_complex(wp_stree);
+
+  std::cout << "Weighted periodic Alpha complex 3d is of dimension " << wp_stree.dimension() << std::endl;
+  BOOST_CHECK(wp_stree.dimension() == 3);
+  std::cout << "    num_simplices " << wp_stree.num_simplices() << std::endl;
+  BOOST_CHECK(wp_stree.num_simplices() >= 3100);
+  std::cout << "    num_vertices " << wp_stree.num_vertices() << std::endl;
+  BOOST_CHECK(wp_stree.num_vertices() == 125);
+}