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diff --git a/src/Alpha_complex/test/Weighted_alpha_complex_3d_unit_test.cpp b/src/Alpha_complex/test/Weighted_alpha_complex_3d_unit_test.cpp
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+++ b/src/Alpha_complex/test/Weighted_alpha_complex_3d_unit_test.cpp
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+/*    This file is part of the Gudhi Library - https://gudhi.inria.fr/ - which is released under MIT.
+ *    See file LICENSE or go to https://gudhi.inria.fr/licensing/ for full license details.
+ *    Author(s):       Vincent Rouvreau
+ *
+ *    Copyright (C) 2015 Inria
+ *
+ *    Modification(s):
+ *      - YYYY/MM Author: Description of the modification
+ */
+
+#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 <cstddef>  // for std::size_t
+
+#include <gudhi/Alpha_complex_3d.h>
+#include <gudhi/graph_simplicial_complex.h>
+#include <gudhi/Simplex_tree.h>
+#include <gudhi/Unitary_tests_utils.h>
+// to construct Alpha_complex from a OFF file of points
+#include <gudhi/Points_3D_off_io.h>
+
+#include <CGAL/Random.h>
+#include <CGAL/point_generators_3.h>
+
+using Fast_weighted_alpha_complex_3d =
+    Gudhi::alpha_complex::Alpha_complex_3d<Gudhi::alpha_complex::complexity::FAST, true, false>;
+using Safe_weighted_alpha_complex_3d =
+    Gudhi::alpha_complex::Alpha_complex_3d<Gudhi::alpha_complex::complexity::SAFE, true, false>;
+using Exact_weighted_alpha_complex_3d =
+    Gudhi::alpha_complex::Alpha_complex_3d<Gudhi::alpha_complex::complexity::EXACT, true, false>;
+
+typedef boost::mpl::list<Fast_weighted_alpha_complex_3d, Safe_weighted_alpha_complex_3d,
+                         Exact_weighted_alpha_complex_3d>
+    weighted_variants_type_list;
+
+#ifdef GUDHI_DEBUG
+BOOST_AUTO_TEST_CASE_TEMPLATE(Alpha_complex_weighted_throw, Weighted_alpha_complex_3d, weighted_variants_type_list) {
+  using Point_3 = typename Weighted_alpha_complex_3d::Point_3;
+  std::vector<Point_3> w_points;
+  w_points.push_back(Point_3(0.0, 0.0, 0.0));
+  w_points.push_back(Point_3(0.0, 0.0, 0.2));
+  w_points.push_back(Point_3(0.2, 0.0, 0.2));
+  // w_points.push_back(Point_3(0.6, 0.6, 0.0));
+  // w_points.push_back(Point_3(0.8, 0.8, 0.2));
+  // w_points.push_back(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(Weighted_alpha_complex_3d wac(w_points, weights), std::invalid_argument);
+}
+#endif
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(Alpha_complex_weighted, Weighted_alpha_complex_3d, weighted_variants_type_list) {
+  std::cout << "Weighted alpha complex 3d from points and weights" << std::endl;
+  using Point_3 = typename Weighted_alpha_complex_3d::Point_3;
+  std::vector<Point_3> w_points;
+  w_points.push_back(Point_3(0.0, 0.0, 0.0));
+  w_points.push_back(Point_3(0.0, 0.0, 0.2));
+  w_points.push_back(Point_3(0.2, 0.0, 0.2));
+  w_points.push_back(Point_3(0.6, 0.6, 0.0));
+  w_points.push_back(Point_3(0.8, 0.8, 0.2));
+  w_points.push_back(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};
+
+  Weighted_alpha_complex_3d alpha_complex_p_a_w(w_points, weights);
+  Gudhi::Simplex_tree<> stree;
+  alpha_complex_p_a_w.create_complex(stree);
+
+  std::cout << "Weighted alpha complex 3d from weighted points" << std::endl;
+  using Weighted_point_3 = typename Weighted_alpha_complex_3d::Weighted_point_3;
+
+  std::vector<Weighted_point_3> weighted_points;
+
+  for (std::size_t i = 0; i < w_points.size(); i++) {
+    weighted_points.push_back(Weighted_point_3(w_points[i], weights[i]));
+  }
+  Weighted_alpha_complex_3d alpha_complex_w_p(weighted_points);
+
+  Gudhi::Simplex_tree<> stree_bis;
+  alpha_complex_w_p.create_complex(stree_bis);
+
+  // ---------------------
+  // Compare both versions
+  // ---------------------
+  std::cout << "Weighted alpha complex 3d is of dimension " << stree_bis.dimension() << " - versus "
+            << stree.dimension() << std::endl;
+  BOOST_CHECK(stree_bis.dimension() == stree.dimension());
+  std::cout << "Weighted alpha complex 3d num_simplices " << stree_bis.num_simplices() << " - versus "
+            << stree.num_simplices() << std::endl;
+  BOOST_CHECK(stree_bis.num_simplices() == stree.num_simplices());
+  std::cout << "Weighted alpha complex 3d num_vertices " << stree_bis.num_vertices() << " - versus "
+            << stree.num_vertices() << std::endl;
+  BOOST_CHECK(stree_bis.num_vertices() == stree.num_vertices());
+
+  auto sh = stree.filtration_simplex_range().begin();
+  while (sh != stree.filtration_simplex_range().end()) {
+    std::vector<int> simplex;
+    std::vector<int> exact_simplex;
+#ifdef DEBUG_TRACES
+    std::cout << " ( ";
+#endif
+    for (auto vertex : stree.simplex_vertex_range(*sh)) {
+      simplex.push_back(vertex);
+#ifdef DEBUG_TRACES
+      std::cout << vertex << " ";
+#endif
+    }
+#ifdef DEBUG_TRACES
+    std::cout << ") -> "
+              << "[" << stree.filtration(*sh) << "] ";
+    std::cout << std::endl;
+#endif
+
+    // Find it in the exact structure
+    auto sh_exact = stree_bis.find(simplex);
+    BOOST_CHECK(sh_exact != stree_bis.null_simplex());
+
+    // Exact and non-exact version is not exactly the same due to float comparison
+    GUDHI_TEST_FLOAT_EQUALITY_CHECK(stree_bis.filtration(sh_exact), stree.filtration(*sh));
+
+    ++sh;
+  }
+}