TShapeSizeOrientB1.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) [email protected]

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

/** \file TRel2DShapeSizeOrientBarrier.cpp
 *  \brief
 *  \author Jason Kraftcheck
 */

#include "Mesquite.hpp"
#include "TShapeSizeOrientB1.hpp"
#include "MsqMatrix.hpp"
#include "MsqError.hpp"
#include "TMPDerivs.hpp"
#include "TMPCommon.hpp"

namespace MBMesquite
{

std::string TShapeSizeOrientB1::get_name() const
{
    return "TShapeSizeOrientB1";
}

TShapeSizeOrientB1::~TShapeSizeOrientB1() {}

bool TShapeSizeOrientB1::evaluate( const MsqMatrix< 2, 2 >& T, double& result, MsqError& err )
{
    double tau = det( T );
    if( TMetric::invalid_determinant( tau ) )
    {
        MSQ_SETERR( err )( barrier_violated_msg, MsqError::BARRIER_VIOLATED );
        return false;
    }

    MsqMatrix< 2, 2 > T_I( T );
    pluseq_scaled_I( T_I, -1 );
    result = sqr_Frobenius( T_I ) / ( 2 * tau );
    return true;
}

bool TShapeSizeOrientB1::evaluate_with_grad( const MsqMatrix< 2, 2 >& T,
                                             double& result,
                                             MsqMatrix< 2, 2 >& deriv_wrt_T,
                                             MsqError& err )
{
    const double d = det( T );
    if( TMetric::invalid_determinant( d ) )
    {  // barrier
        MSQ_SETERR( err )( barrier_violated_msg, MsqError::BARRIER_VIOLATED );
        return false;
    }

    deriv_wrt_T = T;
    pluseq_scaled_I( deriv_wrt_T, -1 );
    double inv_d = 1.0 / d;
    result       = 0.5 * sqr_Frobenius( deriv_wrt_T ) * inv_d;

    deriv_wrt_T -= result * transpose_adj( T );
    deriv_wrt_T *= inv_d;

    return true;
}

bool TShapeSizeOrientB1::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 )
{
    const double d = det( T );
    if( TMetric::invalid_determinant( d ) )
    {  // barrier
        MSQ_SETERR( err )( barrier_violated_msg, MsqError::BARRIER_VIOLATED );
        return false;
    }

    deriv_wrt_T = T;
    pluseq_scaled_I( deriv_wrt_T, -1.0 );
    double inv_d = 1.0 / d;
    result       = 0.5 * sqr_Frobenius( deriv_wrt_T ) * inv_d;

    MsqMatrix< 2, 2 > adjt = transpose_adj( T );
    set_scaled_outer_product( second_wrt_T, 2 * result * inv_d * inv_d, adjt );
    pluseq_scaled_sum_outer_product( second_wrt_T, -inv_d * inv_d, deriv_wrt_T, adjt );
    pluseq_scaled_2nd_deriv_of_det( second_wrt_T, -result * inv_d, T );
    pluseq_scaled_I( second_wrt_T, inv_d );

    deriv_wrt_T -= result * adjt;
    deriv_wrt_T *= inv_d;

    return true;
}

bool TShapeSizeOrientB1::evaluate( const MsqMatrix< 3, 3 >& T, double& result, MsqError& err )
{
    double tau = det( T );
    if( TMetric::invalid_determinant( tau ) )
    {
        MSQ_SETERR( err )( barrier_violated_msg, MsqError::BARRIER_VIOLATED );
        return false;
    }

    MsqMatrix< 3, 3 > T_I( T );
    pluseq_scaled_I( T_I, -1 );
    result = sqr_Frobenius( T_I ) / ( 2 * tau );
    return true;
}

bool TShapeSizeOrientB1::evaluate_with_grad( const MsqMatrix< 3, 3 >& T,
                                             double& result,
                                             MsqMatrix< 3, 3 >& deriv_wrt_T,
                                             MsqError& err )
{
    const double d = det( T );
    if( TMetric::invalid_determinant( d ) )
    {  // barrier
        MSQ_SETERR( err )( barrier_violated_msg, MsqError::BARRIER_VIOLATED );
        return false;
    }

    deriv_wrt_T = T;
    pluseq_scaled_I( deriv_wrt_T, -1 );
    double inv_d = 1.0 / d;
    result       = 0.5 * sqr_Frobenius( deriv_wrt_T ) * inv_d;

    deriv_wrt_T -= result * transpose_adj( T );
    deriv_wrt_T *= inv_d;

    return true;
}

bool TShapeSizeOrientB1::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 )
{
    const double d = det( T );
    if( TMetric::invalid_determinant( d ) )
    {  // barrier
        MSQ_SETERR( err )( barrier_violated_msg, MsqError::BARRIER_VIOLATED );
        return false;
    }

    deriv_wrt_T = T;
    pluseq_scaled_I( deriv_wrt_T, -1.0 );
    double inv_d = 1.0 / d;
    result       = 0.5 * sqr_Frobenius( deriv_wrt_T ) * inv_d;

    MsqMatrix< 3, 3 > adjt = transpose_adj( T );
    set_scaled_outer_product( second_wrt_T, 2 * result * inv_d * inv_d, adjt );
    pluseq_scaled_sum_outer_product( second_wrt_T, -inv_d * inv_d, deriv_wrt_T, adjt );
    pluseq_scaled_2nd_deriv_of_det( second_wrt_T, -result * inv_d, T );
    pluseq_scaled_I( second_wrt_T, inv_d );

    deriv_wrt_T -= result * adjt;
    deriv_wrt_T *= inv_d;

    return true;
}

// TMP_T_TEMPL_IMPL_COMMON(TShapeSizeOrientB1)

}  // namespace MBMesquite