TSizeB1.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 TSizeB1.cpp
 *  \brief
 *  \author Jason Kraftcheck
 */

#include "Mesquite.hpp"
#include "TSizeB1.hpp"
#include "MsqMatrix.hpp"
#include "MsqError.hpp"
#include "TMPDerivs.hpp"
#include "TMPCommon.hpp"

namespace MBMesquite
{

std::string TSizeB1::get_name() const
{
    return "TSizeB1";
}

TSizeB1::~TSizeB1() {}

bool TSizeB1::evaluate( const MsqMatrix< 2, 2 >& T, double& result, MsqError& err )
{
    double d = det( T );
    if( TMetric::invalid_determinant( d ) )
    {
        MSQ_SETERR( err )( barrier_violated_msg, MsqError::BARRIER_VIOLATED );
        return false;
    }
    result = d + 1.0 / d - 2.0;
    return true;
}

bool TSizeB1::evaluate_with_grad( const MsqMatrix< 2, 2 >& T, double& result, MsqMatrix< 2, 2 >& deriv_wrt_T,
                                  MsqError& err )
{
    double d = det( T );
    if( TMetric::invalid_determinant( d ) )
    {
        MSQ_SETERR( err )( barrier_violated_msg, MsqError::BARRIER_VIOLATED );
        return false;
    }
    result      = d + 1.0 / d - 2.0;
    deriv_wrt_T = ( 1 - 1 / ( d * d ) ) * transpose_adj( T );
    return true;
}

bool TSizeB1::evaluate_with_hess( const MsqMatrix< 2, 2 >& T, double& result, MsqMatrix< 2, 2 >& deriv_wrt_T,
                                  MsqMatrix< 2, 2 > second_wrt_T[3], MsqError& err )
{
    double d = det( T );
    if( TMetric::invalid_determinant( d ) )
    {
        MSQ_SETERR( err )( barrier_violated_msg, MsqError::BARRIER_VIOLATED );
        return false;
    }
    result                 = d + 1.0 / d - 2.0;
    MsqMatrix< 2, 2 > adjt = transpose_adj( T );
    const double f         = 1 - 1 / ( d * d );
    deriv_wrt_T            = f * adjt;

    set_scaled_outer_product( second_wrt_T, 2 / ( d * d * d ), adjt );
    pluseq_scaled_2nd_deriv_of_det( second_wrt_T, f, T );
    return true;
}

bool TSizeB1::evaluate( const MsqMatrix< 3, 3 >& T, double& result, MsqError& err )
{
    double d = det( T );
    if( TMetric::invalid_determinant( d ) )
    {
        MSQ_SETERR( err )( barrier_violated_msg, MsqError::BARRIER_VIOLATED );
        return false;
    }
    result = d + 1.0 / d - 2.0;
    return true;
}

bool TSizeB1::evaluate_with_grad( const MsqMatrix< 3, 3 >& T, double& result, MsqMatrix< 3, 3 >& deriv_wrt_T,
                                  MsqError& err )
{
    double d = det( T );
    if( TMetric::invalid_determinant( d ) )
    {
        MSQ_SETERR( err )( barrier_violated_msg, MsqError::BARRIER_VIOLATED );
        return false;
    }
    result      = d + 1.0 / d - 2.0;
    deriv_wrt_T = ( 1 - 1 / ( d * d ) ) * transpose_adj( T );
    return true;
}

bool TSizeB1::evaluate_with_hess( const MsqMatrix< 3, 3 >& T, double& result, MsqMatrix< 3, 3 >& deriv_wrt_T,
                                  MsqMatrix< 3, 3 > second_wrt_T[6], MsqError& err )
{
    double d = det( T );
    if( TMetric::invalid_determinant( d ) )
    {
        MSQ_SETERR( err )( barrier_violated_msg, MsqError::BARRIER_VIOLATED );
        return false;
    }
    result                 = d + 1.0 / d - 2.0;
    MsqMatrix< 3, 3 > adjt = transpose_adj( T );
    const double f         = 1 - 1 / ( d * d );
    deriv_wrt_T            = f * adjt;

    set_scaled_outer_product( second_wrt_T, 2 / ( d * d * d ), adjt );
    pluseq_scaled_2nd_deriv_of_det( second_wrt_T, f, T );
    return true;
}

}  // namespace MBMesquite