AveragingQM.hpp

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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
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    [email protected], [email protected], [email protected],
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  ***************************************************************** */

/*! \file AveragingQM.hpp
    \brief
Header file for the MBMesquite::AveragingQM class

  \author Thomas Leurent
  \author Michael Brewer
  \date   2002-05-01
 */

#ifndef MSQ_AVERAGING_QM_HPP
#define MSQ_AVERAGING_QM_HPP

#include "Mesquite.hpp"
#include "QualityMetric.hpp"

namespace MBMesquite
{

/*! \class AveragingQM
  \brief Averaging functionality for use in quality metrics
*/
class MsqMeshEntity;
class PatchData;
class Vector3D;
class Matrix3D;
class MsqError;

class AveragingQM
{
  public:
    MESQUITE_EXPORT AveragingQM( QualityMetric::AveragingMethod method ) : avgMethod( method ) {}

    virtual ~AveragingQM() {}

    /*!Set the averaging method for the quality metric. */
    MESQUITE_EXPORT inline void set_averaging_method( QualityMetric::AveragingMethod method )
    {
        avgMethod = method;
    }

    MESQUITE_EXPORT inline void set_averaging_method( QualityMetric::AveragingMethod method, MsqError& )
    {
        set_averaging_method( method );
    }

    MESQUITE_EXPORT inline QualityMetric::AveragingMethod get_averaging_method() const
    {
        return avgMethod;
    }

    //! Return true if the requested averaging scheme is supported
    //! for analytical calculation of gradients.
    inline bool analytical_average_gradient()
    {
        return avgMethod <= QualityMetric::LAST_WITH_GRADIENT;
    }

    //! Return true if the requested averaging scheme is supported
    //! for analytical calculation of Hessians.
    inline bool analytical_average_hessian()
    {
        return avgMethod <= QualityMetric::LAST_WITH_HESSIAN;
    }

    //! average_metrics takes an array of length num_values and averages the
    //! contents using averaging method data member avgMethod .
    double average_metrics( const double metric_values[], int num_values, MsqError& err );

    //! Given a list of metric values, calculate the average metric
    //! valude according to the current avgMethod and write into
    //! the passed metric_values array the the value weight/count to
    //! use when averaging gradient vectors for the metric.
    //!\param metric_values : As input, a set of quality metric values
    //!                       to average.  As output, the fraction of
    //!                       the corresponding gradient vector that
    //!                       contributes to the average gradient.
    //!\param num_metric_values The number of values in the passed array.
    double average_metric_and_weights( double metric_values[], int num_metric_values, MsqError& err );

    /** \brief Average metric values and gradients for per-corner evaluation
     *
     *\param element_type   The element type
     *\param num_corners    The number of corners (e.g. pass 4 for a pyramid
     *                      if the metric couldn't be evaluated for the apex)
     *\param corner_values  An array of metric values, one per element corner
     *\param corner_grads   The corner gradients, 4 for each corner
     *\param vertex_grads   Output.  Gradient at each vertex.
     *\return average metric value for element
     */
    double average_corner_gradients( EntityTopology element_type,
                                     uint32_t fixed_vertices,
                                     unsigned num_corners,
                                     double corner_values[],
                                     const Vector3D corner_grads[],
                                     Vector3D vertex_grads[],
                                     MsqError& err );

    /** \brief Average metric values, gradients, and Hessian diagonal
     *         blocks for per-corner evaluation
     *
     *\param element_type   The element type
     *\param num_corners    The number of corners (e.g. pass 4 for a pyramid
     *                      if the metric couldn't be evaluated for the apex)
     *\param corner_values  An array of metric values, one per element corner
     *\param corner_grads   The corner gradients, 4 for each corner
     *\param corner_hessians The hessians, 10 for each corner
     *\param vertex_grads   Output.  Gradient at each vertex.
     *\param vertex_hessians Output.  Hessian diagonal block for each vertex.
     *\return average metric value for element
     */
    double average_corner_hessian_diagonals( EntityTopology element_type,
                                             uint32_t fixed_vertices,
                                             unsigned num_corners,
                                             const double corner_values[],
                                             const Vector3D corner_grads[],
                                             const Matrix3D corner_hessians[],
                                             Vector3D vertex_grads[],
                                             SymMatrix3D vertex_hessians[],
                                             MsqError& err );

    /** \brief Average metric values, gradients, and Hessian diagonal
     *         blocks for per-corner evaluation
     *
     *\param element_type   The element type
     *\param num_corners    The number of corners (e.g. pass 4 for a pyramid
     *                      if the metric couldn't be evaluated for the apex)
     *\param corner_values  An array of metric values, one per element corner
     *\param corner_grads   The corner gradients, 4 for each corner
     *\param corner_hess_diag The diagonal blocks of the Hessian: 4 for each corner.
     *\param vertex_grads   Output.  Gradient at each vertex.
     *\param vertex_hessians Output.  Hessian diagonal block for each vertex.
     *\return average metric value for element
     */
    double average_corner_hessian_diagonals( EntityTopology element_type,
                                             uint32_t fixed_vertices,
                                             unsigned num_corners,
                                             const double corner_values[],
                                             const Vector3D corner_grads[],
                                             const SymMatrix3D corner_hess_diag[],
                                             Vector3D vertex_grads[],
                                             SymMatrix3D vertex_hessians[],
                                             MsqError& err );

    /** \brief Average metric values, gradients, and Hessians for
     *         per-corner evaluation
     *
     *\param element_type   The element type
     *\param num_corners    The number of corners (e.g. pass 4 for a pyramid
     *                      if the metric couldn't be evaluated for the apex)
     *\param corner_values  An array of metric values, one per element corner
     *\param corner_grads   The corner gradients, 4 for each corner
     *\param corner_hessians The hessians, 10 for each corner
     *\param vertex_grads   Output.  Gradient at each vertex.
     *\param vertex_hessians Output.  Hessians.  Length must be (n*(n+1))/2,
     *                       where n is the number of vertices in the element.
     *\return average metric value for element
     */
    double average_corner_hessians( EntityTopology element_type,
                                    uint32_t fixed_vertices,
                                    unsigned num_corners,
                                    const double corner_values[],
                                    const Vector3D corner_grads[],
                                    const Matrix3D corner_hessians[],
                                    Vector3D vertex_grads[],
                                    Matrix3D vertex_hessians[],
                                    MsqError& err );

  private:
    QualityMetric::AveragingMethod avgMethod;
};

}  // namespace MBMesquite

#endif  // MSQ_AVERAGING_QM_HPP