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+/* BHRZ03_Certificate class declaration.
+   Copyright (C) 2001-2010 Roberto Bagnara <bagnara@cs.unipr.it>
+   Copyright (C) 2010-2011 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL 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.
+
+The PPL 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, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://www.cs.unipr.it/ppl/ . */
+
+#ifndef PPL_BHRZ03_Certificate_defs_hh
+#define PPL_BHRZ03_Certificate_defs_hh 1
+
+#include "BHRZ03_Certificate.types.hh"
+#include "Polyhedron.types.hh"
+#include "globals.types.hh"
+#include "assert.hh"
+#include <vector>
+
+//! The convergence certificate for the BHRZ03 widening operator.
+/*! \ingroup PPL_CXX_interface
+  Convergence certificates are used to instantiate the BHZ03 framework
+  so as to define widening operators for the finite powerset domain.
+
+  \note
+  Each convergence certificate has to be used together with a
+  compatible widening operator. In particular, BHRZ03_Certificate
+  can certify the convergence of both the BHRZ03 and the H79 widenings.
+*/
+class Parma_Polyhedra_Library::BHRZ03_Certificate {
+public:
+  //! Default constructor.
+  BHRZ03_Certificate();
+
+  //! Constructor: computes the certificate for \p ph.
+  BHRZ03_Certificate(const Polyhedron& ph);
+
+  //! Copy constructor.
+  BHRZ03_Certificate(const BHRZ03_Certificate& y);
+
+  //! Destructor.
+  ~BHRZ03_Certificate();
+
+  //! The comparison function for certificates.
+  /*!
+    \return
+    \f$-1\f$, \f$0\f$ or \f$1\f$ depending on whether \p *this
+    is smaller than, equal to, or greater than \p y, respectively.
+
+    Compares \p *this with \p y, using a total ordering which is a
+    refinement of the limited growth ordering relation for the
+    BHRZ03 widening.
+  */
+  int compare(const BHRZ03_Certificate& y) const;
+
+  //! Compares \p *this with the certificate for polyhedron \p ph.
+  int compare(const Polyhedron& ph) const;
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+  /*! \brief
+    Returns <CODE>true</CODE> if and only if the certificate for
+    polyhedron \p ph is strictly smaller than \p *this.
+  */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+  bool is_stabilizing(const Polyhedron& ph) const;
+
+  //! A total ordering on BHRZ03 certificates.
+  /*! \ingroup PPL_CXX_interface
+    This binary predicate defines a total ordering on BHRZ03 certificates
+    which is used when storing information about sets of polyhedra.
+  */
+  struct Compare {
+    //! Returns <CODE>true</CODE> if and only if \p x comes before \p y.
+    bool operator()(const BHRZ03_Certificate& x,
+		    const BHRZ03_Certificate& y) const;
+  };
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+  //! Check if gathered information is meaningful.
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+  bool OK() const;
+
+private:
+  //! Affine dimension of the polyhedron.
+  dimension_type affine_dim;
+  //! Dimension of the lineality space of the polyhedron.
+  dimension_type lin_space_dim;
+  //! Cardinality of a non-redundant constraint system for the polyhedron.
+  dimension_type num_constraints;
+  /*! \brief
+    Number of non-redundant points in a generator system
+    for the polyhedron.
+  */
+  dimension_type num_points;
+  /*! \brief
+    A vector containing, for each index `0 <= i < space_dim',
+    the number of non-redundant rays in a generator system of the
+    polyhedron having exactly `i' null coordinates.
+  */
+  std::vector<dimension_type> num_rays_null_coord;
+};
+
+#include "BHRZ03_Certificate.inlines.hh"
+
+#endif // !defined(PPL_BHRZ03_Certificate_defs_hh)