PMeanPTemplate.hpp

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

    Copyright 2006 Lawrence Livermore National Laboratory.  Under
    the terms of Contract B545069 with the University of Wisconsin --
    Madison, Lawrence Livermore National Laboratory 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

    (2006) kraftche@cae.wisc.edu

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

/** \file PMeanPTemplate.hpp
 *  \brief previous name: PowerMeanP.hpp
 *  \author Jason Kraftcheck
 */

#ifndef MSQ_P_MEAN_P_TEMPLATE_HPP
#define MSQ_P_MEAN_P_TEMPLATE_HPP

#include "Mesquite.hpp"
#include "ObjectiveFunctionTemplate.hpp"
#include "Exponent.hpp"
#include "Matrix3D.hpp"

namespace MBMesquite
{

/**\brief \f$\frac{1}{n}\sum_{i=1}^n\mu(s_i)^p\f$
 *
 * This class implements an objective function that is the
 * power-mean of the quality metric evalutations raised to the
 * power-mean power.  That is, the sum of each quality metric value
 * raised to a power, divided by the totoal number of quality metric
 * values.
 */
class PMeanPTemplate : public ObjectiveFunctionTemplate
{
  public:
    /**
     *\param power   The exponent to use for the power-mean
     *\param qm      The quality metric.
     */
    MESQUITE_EXPORT
    PMeanPTemplate( double power, QualityMetric* qm = 0 ) : ObjectiveFunctionTemplate( qm )
    {
        clear();
        set_power( power );
    }

    /**\brief copy constructor
     *
     * Define a copy constructor because the compiler-provided
     * default one would also copy the temporary arrays, which
     * would be a waste of time.
     */
    MESQUITE_EXPORT
    PMeanPTemplate( const PMeanPTemplate& copy )
        : ObjectiveFunctionTemplate( copy ), mPower( copy.mPower ), mPowerMinus1( copy.mPowerMinus1 ),
          mPowerMinus2( copy.mPowerMinus2 ), mCount( copy.mCount ), mPowSum( copy.mPowSum ),
          saveCount( copy.saveCount ), savePowSum( copy.savePowSum )
    {
    }

    MESQUITE_EXPORT
    virtual ~PMeanPTemplate() {}

    MESQUITE_EXPORT
    double get_power() const
    {
        return mPower.value();
    }

    MESQUITE_EXPORT
    void set_power( double p )
    {
        mPower       = p;
        mPowerMinus1 = p - 1;
        mPowerMinus2 = p - 2;
    }

    MESQUITE_EXPORT
    virtual bool evaluate( EvalType type, PatchData& pd, double& value_out, bool free, MsqError& err );

    MESQUITE_EXPORT
    virtual bool evaluate_with_gradient( EvalType type, PatchData& pd, double& value_out,
                                         std::vector< Vector3D >& grad_out, MsqError& err );

    MESQUITE_EXPORT
    virtual bool evaluate_with_Hessian_diagonal( EvalType type, PatchData& pd, double& value_out,
                                                 std::vector< Vector3D >& grad_out,
                                                 std::vector< SymMatrix3D >& hess_diag_out, MsqError& err );

    MESQUITE_EXPORT
    virtual bool evaluate_with_Hessian( EvalType type, PatchData& pd, double& value_out,
                                        std::vector< Vector3D >& grad_out, MsqHessian& Hessian_out, MsqError& err );

    MESQUITE_EXPORT
    virtual ObjectiveFunction* clone() const;

    MESQUITE_EXPORT
    virtual void clear();

  protected:
    /**\brief Handle EvalType for all eval functions, return OF value
     *
     * This function implements the common handling of the EvalType
     * argument for all forms of the 'evaluate' method.
     *
     * NOTE:  This function modifies accumulated values depenending
     *        on the value of EvalType.
     *\param power_sum  The sum over the current patch
     *\param count      The number of qm evaluations for the current patch
     *\param type       The evaluation type passed to 'evaluate'
     *\param global_count The total, accumulated number of QM evaluations
     *\return The objective function value to return from 'evaluate'
     */
    double get_value( double power_sum, size_t count, EvalType type, size_t& global_count );

    Exponent mPower;       /**< The power to use */
    Exponent mPowerMinus1; /**< mPower - 1.0 */
    Exponent mPowerMinus2; /**< mPower - 2.0 */

  private:
    size_t mCount;     /**< The number of accumulated entires */
    double mPowSum;    /**< The accumulated sum of values to the mPower */
    size_t saveCount;  /**< Saved count from previous patch */
    double savePowSum; /**< Saved sum from previous patch */

  protected:
    /** Temporary storage for qm sample handles */
    mutable std::vector< size_t > qmHandles;
    /** Temporary storage for qm vertex indices */
    mutable std::vector< size_t > mIndices;
    /** Temporary storage for qm gradient */
    mutable std::vector< Vector3D > mGradient;
    /** Temporary storage for qm hessian diagonal */
    mutable std::vector< SymMatrix3D > mDiag;
    /** Temporary storage for qm Hessian */
    mutable std::vector< Matrix3D > mHessian;
};

}  // namespace MBMesquite

#endif