TSizeNB1.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 TSizeNB1.cpp
 *  \brief
 *  \author Jason Kraftcheck
 */

#include "Mesquite.hpp"
#include "TSizeNB1.hpp"
#include "MsqMatrix.hpp"
#include "TMPDerivs.hpp"
#include "TMPCommon.hpp"

namespace MBMesquite
{

std::string TSizeNB1::get_name() const
{
    return "TSizeNB1";
}

TSizeNB1::~TSizeNB1() {}

template < unsigned DIM >
static inline bool eval( const MsqMatrix< DIM, DIM >& T, double& result )
{
    double d1 = det( T ) - 1;
    result    = d1 * d1;
    return true;
}

template < unsigned DIM >
static inline bool grad( const MsqMatrix< DIM, DIM >& T, double& result, MsqMatrix< DIM, DIM >& deriv )
{
    double d1 = det( T ) - 1;
    result    = d1 * d1;
    deriv     = 2 * d1 * transpose_adj( T );
    return true;
}

template < unsigned DIM >
static inline bool hess( const MsqMatrix< DIM, DIM >& T,
                         double& result,
                         MsqMatrix< DIM, DIM >& deriv,
                         MsqMatrix< DIM, DIM >* second )
{
    double d1                        = det( T ) - 1;
    result                           = d1 * d1;
    const MsqMatrix< DIM, DIM > adjt = transpose_adj( T );
    deriv                            = 2 * d1 * adjt;
    set_scaled_outer_product( second, 2, adjt );
    pluseq_scaled_2nd_deriv_of_det( second, 2 * d1, T );
    return true;
}

TMP_T_TEMPL_IMPL_COMMON( TSizeNB1 )

}  // namespace MBMesquite