AWUntangleBeta.hpp

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/* *****************************************************************
    MESQUITE -- The Mesh Quality Improvement Toolkit

    Copyright 2006 Sandia National Laboratories.  Developed at the
    University of Wisconsin--Madison under SNL contract number
    624796.  The U.S. Government and the University of Wisconsin
    retain certain rights to this software.

    This library is free software; you can redistribute it and/or
    modify it under the terms of the GNU Lesser General Public
    License as published by the Free Software Foundation; either
    version 2.1 of the License, or (at your option) any later version.

    This library 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
    Lesser General Public License for more details.

    You should have received a copy of the GNU Lesser General Public License
    (lgpl.txt) along with this library; if not, write to the Free Software
    Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  USA

    (2010) kraftche@cae.wisc.edu

  ***************************************************************** */

/** \file AWUntangleBeta.hpp
 *  \brief
 *  \author Jason Kraftcheck
 */

#ifndef MSQ_AW_UNTANGLE_BETA_HPP
#define MSQ_AW_UNTANGLE_BETA_HPP

#include "Mesquite.hpp"
#include "AWMetric.hpp"

namespace MBMesquite
{

/** \f$ \left\{ |\alpha - \gamma \, \omega| - ( \alpha - \gamma \, \omega ) \right\}^p \f$ */
class AWUntangleBeta : public AWMetric
{
  private:
    double mGamma;

  public:
    MESQUITE_EXPORT
    AWUntangleBeta( double gamma = 0.5 ) : mGamma( gamma ) {}

    MESQUITE_EXPORT virtual ~AWUntangleBeta();

    MESQUITE_EXPORT virtual std::string get_name() const;

    MESQUITE_EXPORT virtual bool evaluate( const MsqMatrix< 2, 2 >& A,
                                           const MsqMatrix< 2, 2 >& W,
                                           double& result,
                                           MsqError& err );

    MESQUITE_EXPORT virtual bool evaluate( const MsqMatrix< 3, 3 >& A,
                                           const MsqMatrix< 3, 3 >& W,
                                           double& result,
                                           MsqError& err );

    MESQUITE_EXPORT virtual bool evaluate_with_grad( const MsqMatrix< 2, 2 >& A,
                                                     const MsqMatrix< 2, 2 >& W,
                                                     double& result,
                                                     MsqMatrix< 2, 2 >& deriv_wrt_A,
                                                     MsqError& err );

    MESQUITE_EXPORT virtual bool evaluate_with_grad( const MsqMatrix< 3, 3 >& A,
                                                     const MsqMatrix< 3, 3 >& W,
                                                     double& result,
                                                     MsqMatrix< 3, 3 >& deriv_wrt_A,
                                                     MsqError& err );
    /*
      MESQUITE_EXPORT virtual
      bool evaluate_with_hess( const MsqMatrix<2,2>& A,
                               const MsqMatrix<2,2>& W,
                               double& result,
                               MsqMatrix<2,2>& deriv_wrt_A,
                               MsqMatrix<2,2> second_wrt_A[3],
                               MsqError& err );

      MESQUITE_EXPORT virtual
      bool evaluate_with_hess( const MsqMatrix<3,3>& A,
                               const MsqMatrix<3,3>& W,
                               double& result,
                               MsqMatrix<3,3>& deriv_wrt_A,
                               MsqMatrix<3,3> second_wrt_A[6],
                               MsqError& err );
    */

  private:
    template < unsigned D >
    inline bool eval( const MsqMatrix< D, D >& A, const MsqMatrix< D, D >& W, double& result );
    template < unsigned D >
    inline bool grad( const MsqMatrix< D, D >& A,
                      const MsqMatrix< D, D >& W,
                      double& result,
                      MsqMatrix< D, D >& first );
    //  template <unsigned D> inline
    //  bool hess( const MsqMatrix<D,D>& T, double& result, MsqMatrix<D,D>& first, MsqMatrix<D,D>*
    //  second );
};

}  // namespace MBMesquite

#endif