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diff --git a/include/gudhi/Witness_complex/all_faces_in.h b/include/gudhi/Witness_complex/all_faces_in.h
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+/*    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):       Siargey Kachanovich
+ *
+ *    Copyright (C) 2015  INRIA (France)
+ *
+ *    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/>.
+ */
+
+#ifndef WITNESS_COMPLEX_ALL_FACES_IN_H_
+#define WITNESS_COMPLEX_ALL_FACES_IN_H_
+
+/* \brief Check if the facets of the k-dimensional simplex witnessed 
+ *  by witness witness_id are already in the complex.
+ *  inserted_vertex is the handle of the (k+1)-th vertex witnessed by witness_id
+ */
+template < typename SimplicialComplexForWitness,
+           typename Simplex >
+  bool all_faces_in(Simplex& simplex,
+                    double* filtration_value,
+                    SimplicialComplexForWitness& sc) {
+    typedef typename SimplicialComplexForWitness::Simplex_handle Simplex_handle;
+
+    if (simplex.size() == 1)
+      return true;                  /* Add vertices unconditionally */
+
+    Simplex facet;
+    for (typename Simplex::iterator not_it = simplex.begin(); not_it != simplex.end(); ++not_it) {
+        facet.clear();
+        for (typename Simplex::iterator it = simplex.begin(); it != simplex.end(); ++it)
+          if (it != not_it)
+            facet.push_back(*it);
+        Simplex_handle facet_sh = sc.find(facet);
+        if (facet_sh == sc.null_simplex())
+          return false;
+        else if (sc.filtration(facet_sh) > *filtration_value)
+          *filtration_value = sc.filtration(facet_sh);
+      }
+    return true;
+  }
+
+#endif  // WITNESS_COMPLEX_ALL_FACES_IN_H_