TargetCalculator.hpp

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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 TargetCalculator.hpp
 *  \brief
 *  \author Jason Kraftcheck
 */

#ifndef MSQ_TARGET_CALCULATOR_HPP
#define MSQ_TARGET_CALCULATOR_HPP

#include "Mesquite.hpp"
#include "Sample.hpp"
#include "MsqMatrix.hpp"
#include "MeshInterface.hpp"
#include <stddef.h>

namespace MBMesquite
{

class PatchData;
class MsqError;
class ReferenceMeshInterface;
class Mesh;
class MeshDomain;
class Settings;

class MESQUITE_EXPORT TargetCalculator
{
  public:
    virtual ~TargetCalculator();

    //!\brief Called at start of instruction queue processing
    //!
    //! Do any preliminary global initialization, consistency checking,
    //! etc.  Default implementation does nothing.
    virtual void initialize_queue( MeshDomainAssoc* mesh_and_domain, const Settings* settings, MsqError& err );

    /**\brief Get a target matrix
     *
     *\param pd      The current PatchData
     *\param element The index an element within the patch data.
     *\param sample  The sample point in the element.
     *\param W_out   The resulting target matrix.
     */
    virtual bool get_3D_target( PatchData& pd, size_t element, Sample sample, MsqMatrix< 3, 3 >& W_out,
                                MsqError& err ) = 0;

    /**\brief Get a target matrix
     *
     *\param pd      The current PatchData
     *\param element The index an element within the patch data.
     *\param sample  The sample point in the element.
     *\param W_out   The resulting target matrix.
     */
    virtual bool get_surface_target( PatchData& pd, size_t element, Sample sample, MsqMatrix< 3, 2 >& W_out,
                                     MsqError& err ) = 0;

    /**\brief Get a target matrix
     *
     *\param pd      The current PatchData
     *\param element The index an element within the patch data.
     *\param sample  The sample point in the element.
     *\param W_out   The resulting target matrix.
     */
    virtual bool get_2D_target( PatchData& pd, size_t element, Sample sample, MsqMatrix< 2, 2 >& W_out,
                                MsqError& err ) = 0;

    /**\brief Use 3x2 W for surface elements if true, 2x2 W if false
     *
     * If true, then the targets for surface elements attempt some
     * control of orientation and therefore get_surface_target must
     * be used to get the targets.  If false, then the target contains
     * no orientation data and is therefore the same as the corresponding
     * 2D target for surface elements.  In this case, get_2D_target should
     * be used.
     */
    virtual bool have_surface_orient() const = 0;

    /**\brief Factor some existing target or Jacobian matrix
     *
     * Utility method for subclasses to use in their implementation
     * of get_3D_target.
     *\param W       The matrix to factor
     *\param Lambda  Output: the size factor of W
     *\praam V       Output: the orientation factor of V
     *\param Q       Output: the skew factor of W
     *\param Delta   Output: the aspect ratio factor of W
     *\return bool   True if W can be factored, false otherwise.
     */
    static bool factor_3D( const MsqMatrix< 3, 3 >& W, double& Lambda, MsqMatrix< 3, 3 >& V, MsqMatrix< 3, 3 >& Q,
                           MsqMatrix< 3, 3 >& Delta, MsqError& err );

    /**\brief Factor some existing target or Jacobian matrix
     *
     * Utility method for subclasses to use in their implementation
     * of get_2D_target
     *\param W       The matrix to factor
     *\param Lambda  Output: the size factor of W
     *\praam V       Output: the orientation factor of V
     *\param Q       Output: the skew factor of W
     *\param Delta   Output: the aspect ratio factor of W
     *\return bool   True if W can be factored, false otherwise.
     */
    static bool factor_surface( const MsqMatrix< 3, 2 >& W, double& Lambda, MsqMatrix< 3, 2 >& V, MsqMatrix< 2, 2 >& Q,
                                MsqMatrix< 2, 2 >& Delta, MsqError& err );

    /**\brief Factor some existing target or Jacobian matrix
     *
     * Utility method for subclasses to use in their implementation
     * of get_2D_target
     *\param W       The matrix to factor
     *\param Lambda  Output: the size factor of W
     *\praam V       Output: the orientation factor of V
     *\param Q       Output: the skew factor of W
     *\param Delta   Output: the aspect ratio factor of W
     *\return bool   True if W can be factored, false otherwise.
     */
    static bool factor_2D( const MsqMatrix< 2, 2 >& W, double& Lambda, MsqMatrix< 2, 2 >& V, MsqMatrix< 2, 2 >& Q,
                           MsqMatrix< 2, 2 >& Delta, MsqError& err );

    /**\brief Get size component of W */
    static double size( const MsqMatrix< 3, 3 >& W );
    /**\brief Get size component of W */
    static double size( const MsqMatrix< 3, 2 >& W );
    /**\brief Get size component of W */
    static double size( const MsqMatrix< 2, 2 >& W );

    /**\brief Get skew component of W */
    static MsqMatrix< 3, 3 > skew( const MsqMatrix< 3, 3 >& W );
    /**\brief Get skew component of W */
    static MsqMatrix< 2, 2 > skew( const MsqMatrix< 3, 2 >& W );
    /**\brief Get skew component of W */
    static MsqMatrix< 2, 2 > skew( const MsqMatrix< 2, 2 >& W );

    /**\brief Get skew component of W */
    static MsqMatrix< 3, 3 > aspect( const MsqMatrix< 3, 3 >& W );
    /**\brief Get skew component of W */
    static MsqMatrix< 2, 2 > aspect( const MsqMatrix< 3, 2 >& W );
    /**\brief Get skew component of W */
    static MsqMatrix< 2, 2 > aspect( const MsqMatrix< 2, 2 >& W );

    /**\brief Get shape (skew and aspect) component of W */
    static MsqMatrix< 3, 3 > shape( const MsqMatrix< 3, 3 >& W );
    /**\brief Get skew component of W */
    static MsqMatrix< 2, 2 > shape( const MsqMatrix< 3, 2 >& W );
    /**\brief Get skew component of W */
    static MsqMatrix< 2, 2 > shape( const MsqMatrix< 2, 2 >& W );

    /**\brief Create a new orientation matrix
     *
     * Create an orientation matrix such that
     * the first and second Jacobian columns of W are aligned to
     * the passed vectors.
     */
    static MsqMatrix< 3, 3 > new_orientation_3D( const MsqVector< 3 >& b1, const MsqVector< 3 >& b2 );
    /**\brief Create a new orientation matrix
     *
     * Create an orientation matrix such that
     * the first and second Jacobian columns of W are aligned to
     * the passed vectors.
     */
    static MsqMatrix< 3, 2 > new_orientation_2D( const MsqVector< 3 >& b1, const MsqVector< 3 >& b2 );

    /**\brief Get skew matrix for an ideally shaped element */
    static void ideal_skew_3D( EntityTopology element_type, Sample s, const PatchData& pd, MsqMatrix< 3, 3 >& W,
                               MsqError& err );

    /**\brief Get skew matrix for an ideally shaped element */
    static void ideal_skew_2D( EntityTopology element_type, Sample s, const PatchData& pd, MsqMatrix< 2, 2 >& W,
                               MsqError& err );

    /**\brief Get skew matrix for an ideally shaped element */
    static void ideal_shape_3D( EntityTopology element_type, Sample s, const PatchData& pd, MsqMatrix< 3, 3 >& W,
                                MsqError& err );

    /**\brief Get skew matrix for an ideally shaped element */
    static void ideal_shape_2D( EntityTopology element_type, Sample s, const PatchData& pd, MsqMatrix< 2, 2 >& W,
                                MsqError& err );

    /**\brief Create a new aspect ratio matrix
     *
     * Create an aspect ratio matrix such that the ratio of column
     * lengths is proportional to the ratio of the corresponding pair
     * of values in the passed vector.
     */
    static MsqMatrix< 3, 3 > new_aspect_3D( const MsqVector< 3 >& r );

    /**\brief Create a new aspect ratio matrix
     *
     * Create an aspect ratio matrix such that the ratio of column
     * lengths is proportional to the ratio of the corresponding pair
     * of values in the passed vector.
     */
    static MsqMatrix< 2, 2 > new_aspect_2D( const MsqVector< 2 >& r );

    /**\brief Create a new aspect ratio matrix
     *
     * Create an aspect ratio matrix such that the ratio of column
     * lengths is the passed value.
     */
    static MsqMatrix< 2, 2 > new_aspect_2D( double rho );

    /**\brief Calculate the Jacobian given element vertex coordinates */
    static void jacobian_3D( PatchData& pd,  // for mapping function list
                             EntityTopology element_type, int num_nodes, Sample location, const Vector3D* coords,
                             MsqMatrix< 3, 3 >& W_out, MsqError& err );

    /**\brief Calculate the Jacobian given element vertex coordinates */
    static void jacobian_2D( PatchData& pd,  // for mapping function list
                             EntityTopology element_type, int num_nodes, Sample location, const Vector3D* coords,
                             MsqMatrix< 3, 2 >& W_out, MsqError& err );

    static void get_refmesh_Jacobian_3D( ReferenceMeshInterface* ref_mesh, PatchData& active_mesh, size_t element_no,
                                         Sample sample_no, MsqMatrix< 3, 3 >& W_out, MsqError& err );

    static void get_refmesh_Jacobian_2D( ReferenceMeshInterface* ref_mesh, PatchData& active_mesh, size_t element_no,
                                         Sample sample_no, MsqMatrix< 3, 2 >& W_out, MsqError& err );
};

}  // namespace MBMesquite

#endif