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diff --git a/src/Coxeter_triangulation/include/gudhi/IO/Mesh_medit.h b/src/Coxeter_triangulation/include/gudhi/IO/Mesh_medit.h
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+++ b/src/Coxeter_triangulation/include/gudhi/IO/Mesh_medit.h
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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):       Siargey Kachanovich
+ *
+ *    Copyright (C) 2019 Inria
+ *
+ *    Modification(s):
+ *      - YYYY/MM Author: Description of the modification
+ */
+
+#ifndef IO_MESH_MEDIT_H_
+#define IO_MESH_MEDIT_H_
+
+#include <Eigen/Dense>
+
+#include <vector>
+#include <utility>  // for std::pair
+
+namespace Gudhi {
+
+namespace coxeter_triangulation {
+
+/** \class Mesh_medit
+ *  \brief Structure to store a mesh that can be output in Medit .mesh file format
+ *   using the output_meshes_to_medit method.
+ *
+ *  \ingroup coxeter_triangulation
+ */
+struct Mesh_medit {
+  /** \brief Type of a range of vertices. */
+  typedef std::vector<Eigen::VectorXd> Vertex_points;
+  /** \brief Type of a mesh element.
+   *  A pair consisting of a vector of vertex indices of type std::size_t
+   *  and of an integer that represents the common reference number for
+   *  the mesh elements of this type. */
+  typedef std::pair<std::vector<std::size_t>, std::size_t> Mesh_element;
+  /** \brief Type of a range of mesh elements. */
+  typedef std::vector<Mesh_element> Mesh_elements;
+  /** \brief Type of a range of scalar field . */
+  typedef std::vector<double> Scalar_field_range;
+
+  /** \brief Range of vertices of type Eigen::VectorXd to output. */
+  Vertex_points vertex_points;
+  /** \brief Range of edges. */
+  Mesh_elements edges;
+  /** \brief Range of triangles. */
+  Mesh_elements triangles;
+  /** \brief Range of tetrahedra. */
+  Mesh_elements tetrahedra;
+  /** \brief Range of scalar values over triangles. */
+  Scalar_field_range triangles_scalar_range;
+  /** \brief Range of scalar values over tetrahedra. */
+  Scalar_field_range tetrahedra_scalar_range;
+};
+
+}  // namespace coxeter_triangulation
+
+}  // namespace Gudhi
+
+#endif