PowerQualityMetric.cpp

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/* *****************************************************************
    MESQUITE -- The Mesh Quality Improvement Toolkit

    Copyright 2004 Sandia Corporation and Argonne National
    Laboratory.  Under the terms of Contract DE-AC04-94AL85000
    with Sandia Corporation, the U.S. Government retains certain
    rights in 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

    diachin2@llnl.gov, djmelan@sandia.gov, mbrewer@sandia.gov,
    pknupp@sandia.gov, tleurent@mcs.anl.gov, tmunson@mcs.anl.gov

  ***************************************************************** */
/*!
  \file   PowerQualityMetric.cpp
  \brief

  \author Michael Brewer
  \date   April 1, 2003
*/

#include "PowerQualityMetric.hpp"
#include "MsqError.hpp"

using namespace MBMesquite;

PowerQualityMetric::PowerQualityMetric( QualityMetric* qm, double pow_factor ) : mMetric( *qm ), mPower( pow_factor ) {}

PowerQualityMetric::~PowerQualityMetric() {}

std::string PowerQualityMetric::get_name() const
{
    return std::string( "pow(" ) + mMetric.get_name() + ")";
}

int PowerQualityMetric::get_negate_flag() const
{
    return mPower.value() < 0 ? mMetric.get_negate_flag() : -mMetric.get_negate_flag();
}

void PowerQualityMetric::get_evaluations( PatchData& pd, std::vector< size_t >& handles, bool free_only, MsqError& err )
{
    mMetric.get_evaluations( pd, handles, free_only, err );MSQ_CHKERR( err );
}

bool PowerQualityMetric::evaluate( PatchData& pd, size_t handle, double& value, MsqError& err )
{
    bool rval = mMetric.evaluate( pd, handle, value, err );
    value     = mPower.raise( value );
    return !MSQ_CHKERR( err ) && rval;
}

bool PowerQualityMetric::evaluate_with_indices( PatchData& pd,
                                                size_t handle,
                                                double& value,
                                                std::vector< size_t >& indices,
                                                MsqError& err )
{
    bool rval = mMetric.evaluate_with_indices( pd, handle, value, indices, err );
    value     = mPower.raise( value );
    return !MSQ_CHKERR( err ) && rval;
}

bool PowerQualityMetric::evaluate_with_gradient( PatchData& pd,
                                                 size_t handle,
                                                 double& value,
                                                 std::vector< size_t >& indices,
                                                 std::vector< Vector3D >& gradient,
                                                 MsqError& err )
{
    bool rval      = mMetric.evaluate_with_gradient( pd, handle, value, indices, gradient, err );
    const double v = mPower.raise( value );
    const double g = fabs( value ) > DBL_EPSILON ? mPower.value() * v / value : 0;
    value          = v;
    for( std::vector< Vector3D >::iterator i = gradient.begin(); i != gradient.end(); ++i )
        *i *= g;
    return !MSQ_CHKERR( err ) && rval;
}

bool PowerQualityMetric::evaluate_with_Hessian( PatchData& pd,
                                                size_t handle,
                                                double& value,
                                                std::vector< size_t >& indices,
                                                std::vector< Vector3D >& gradient,
                                                std::vector< Matrix3D >& Hessian,
                                                MsqError& err )
{
    indices.clear();
    bool rval      = mMetric.evaluate_with_Hessian( pd, handle, value, indices, gradient, Hessian, err );
    const double v = mPower.raise( value );
    const double g = fabs( value ) > DBL_EPSILON ? mPower.value() * v / value : 0.0;
    const double h = fabs( value ) > DBL_EPSILON ? g * ( mPower.value() - 1 ) / value : 0.0;
    value          = v;
    Matrix3D op;
    unsigned idx = 0;
    unsigned n   = indices.size();
    for( unsigned r = 0; r < n; ++r )
    {
        for( unsigned c = r; c < n; ++c )
        {
            Hessian[idx] *= g;
            op.outer_product( gradient[r], gradient[c] );
            op *= h;
            Hessian[idx] += op;
            ++idx;
        }
        gradient[r] *= g;
    }
    return !MSQ_CHKERR( err ) && rval;
}