TShapeOrientNB1.cpp

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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

    (2006) kraftche@cae.wisc.edu

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

/** \file TShapeOrientNB1.cpp
 *  \brief
 *  \author Jason Kraftcheck
 */

#include "Mesquite.hpp"
#include "TShapeOrientNB1.hpp"
#include "MsqMatrix.hpp"
#include "TMPDerivs.hpp"
#include "TMPCommon.hpp"

namespace MBMesquite
{

std::string TShapeOrientNB1::get_name() const
{
    return "TShapeOrientNB1";
}

TShapeOrientNB1::~TShapeOrientNB1() {}

template < unsigned DIM >
static inline bool eval( const MsqMatrix< DIM, DIM >& T, double& result )
{
    result = Frobenius( T ) - trace( T ) / DimConst< DIM >::sqrt();
    return true;
}

template < unsigned DIM >
static inline bool grad( const MsqMatrix< DIM, DIM >& T, double& result, MsqMatrix< DIM, DIM >& deriv )
{
    const double norm    = Frobenius( T );
    const double invroot = 1.0 / DimConst< DIM >::sqrt();
    result               = norm - invroot * trace( T );

    if( norm < 1e-50 )
    {
        deriv = MsqMatrix< DIM, DIM >( 0.0 );
        return true;
    }

    deriv = 1.0 / norm * T;
    pluseq_scaled_I( deriv, -invroot );
    return true;
}

template < unsigned DIM >
static inline bool hess( const MsqMatrix< DIM, DIM >& T,
                         double& result,
                         MsqMatrix< DIM, DIM >& deriv,
                         MsqMatrix< DIM, DIM >* second )
{
    const double norm    = Frobenius( T );
    const double invroot = 1.0 / DimConst< DIM >::sqrt();
    result               = norm - invroot * trace( T );

    if( norm < 1e-50 )
    {
        deriv = MsqMatrix< DIM, DIM >( 0.0 );
        set_scaled_I( second, 1.0 );
        return true;
    }

    const double invnorm = 1.0 / norm;
    deriv                = invnorm * T;
    pluseq_scaled_I( deriv, -invroot );

    set_scaled_outer_product( second, -invnorm * invnorm * invnorm, T );
    pluseq_scaled_I( second, invnorm );
    return true;
}

TMP_T_TEMPL_IMPL_COMMON( TShapeOrientNB1 )

}  // namespace MBMesquite