AWShape2DB1.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

    (2010) [email protected]

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

/** \file AWShape2DB1.cpp
 *  \brief
 *  \author Jason Kraftcheck
 */

#include "Mesquite.hpp"
#include "AWShape2DB1.hpp"
#include "MsqMatrix.hpp"
#include "MsqError.hpp"
#include "TMPDerivs.hpp"

namespace MBMesquite
{

std::string AWShape2DB1::get_name() const
{
    return "AWShape2DB1";
}

AWShape2DB1::~AWShape2DB1() {}

bool AWShape2DB1::evaluate( const MsqMatrix< 2, 2 >& A, const MsqMatrix< 2, 2 >& W, double& result, MsqError& err )
{
    const double alpha = det( A );
    const double omega = det( W );
    const double prod  = alpha * omega;
    if( AWMetric::invalid_determinant( prod ) )
    {
        MSQ_SETERR( err )( barrier_violated_msg_aw, MsqError::BARRIER_VIOLATED );
        return false;
    }

    result = sqr_Frobenius( A * adj( W ) );
    result += sqr_Frobenius( W * adj( A ) );
    result *= 0.25 / prod;
    result -= 1.0;
    return true;
}

}  // namespace MBMesquite