src/QualityMetric/Shape/GeneralizedConditionNumberQualityMetric.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 
    (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      
   
  ***************************************************************** */
// -*- Mode : c++; tab-width: 3; c-tab-always-indent: t; indent-tabs-mode: nil; c-basic-offset: 3 -*-

#ifndef GeneralizedConditionNumberQualityMetric_hpp
#define GeneralizedConditionNumberQualityMetric_hpp


#include "Mesquite.hpp"
#include "MsqMeshEntity.hpp"
#include "MsqError.hpp"
#include "ShapeQualityMetric.hpp"
#include "Vector3D.hpp"
#include "PatchData.hpp"

namespace Mesquite
{
   class GeneralizedConditionNumberQualityMetric : public ShapeQualityMetric
   {
  public:
     
     GeneralizedConditionNumberQualityMetric();
          
     virtual ~GeneralizedConditionNumberQualityMetric()
        {}
     
     bool evaluate_element(PatchData &pd, MsqMeshEntity *element, double &fval,
                           MsqError &err);
     
     bool evaluate_vertex(PatchData &pd, MsqVertex *vertex, double &fval,
                          MsqError &err);
     
  protected:

     bool compute_condition_number(PatchData &pd, MsqMeshEntity *elem,
                                   Vector3D* jacobian_vectors,
                                   int num_jacobian_vectors,
                                   double &fval,
                                   MsqError &err);
   };
  
//BEGIN INLINE FUNCTIONS

   inline bool GeneralizedConditionNumberQualityMetric::compute_condition_number(
      PatchData &pd, MsqMeshEntity *element, Vector3D* jacobian_vectors,
      int num_jacobian_vectors, double &fval, MsqError &err)
   {
       //PRINT_INFO("INSIDE CONDITION NUMBER COMPUTE_CON\n");
     double temp_var=0;
     if(num_jacobian_vectors==2){
       size_t vert=element->get_vertex_index(0);
       Vector3D cross_vec=jacobian_vectors[0]*jacobian_vectors[1];
       if ( pd.domain_set() ) {
         Vector3D norm_vec;
         pd.get_domain_normal_at_vertex(vert,false,norm_vec,err);MSQ_ERRZERO(err);
         if(cross_vec%norm_vec<0.0){
           return false;
         }
       }

       temp_var=fabs((cross_vec).length());
       fval=jacobian_vectors[0].length_squared();
       fval+=jacobian_vectors[1].length_squared();
       if(temp_var>=MSQ_MIN){ //if not degenerate
         fval/=(2.0*temp_var);
       }
       else{
         fval=MSQ_MAX_CAP;
       }
       return true;
     }
     
       //if three jacobian vectors (3D elem)
     else if(num_jacobian_vectors==3){
         //norm squared of J
       double term1=jacobian_vectors[0]%jacobian_vectors[0]+
          jacobian_vectors[1]%jacobian_vectors[1]+
          jacobian_vectors[2]%jacobian_vectors[2];
         //norm squared of adjoint of J
       double term2=(jacobian_vectors[0]*jacobian_vectors[1])%
          (jacobian_vectors[0]*jacobian_vectors[1])+
          (jacobian_vectors[1]*jacobian_vectors[2])%
          (jacobian_vectors[1]*jacobian_vectors[2])+
          (jacobian_vectors[2]*jacobian_vectors[0])%
          (jacobian_vectors[2]*jacobian_vectors[0]);
         //det of J
       temp_var=jacobian_vectors[0]%(jacobian_vectors[1]*jacobian_vectors[2]);
       if(temp_var<=0.0){
         return false;
       }
       
       fval=sqrt(term1*term2);
       if(fval>MSQ_MIN){
           //if not degenerate or inverted???
         fval/=(3*temp_var);
       }
       else{
         fval=MSQ_MAX_CAP;
       }
     }
       
     else{
       fval=MSQ_MAX_CAP;
     }
     
     return true;
   }

} //namespace


#endif // GeneralizedConditionNumberQualityMetric_hpp