Intrepid_ProductTopology.hpp

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#ifndef INTREPID_PRODUCTTOPOLOGY_HPP
#define INTREPID_PRODUCTTOPOLOGY_HPP

#include "Shards_CellTopology.hpp"
#include "Teuchos_Assert.hpp"
#include <stdexcept>
#include <map>

namespace Intrepid {
  
  class ProductTopology {
  public:
    static void lineProduct2d( const int dim0 ,
                               const int entity0 ,
                               const int dim1 ,
                               const int entity1 ,
                               int &resultdim ,
                               int &resultentity )
    {
      // two vertices
      if (dim0 == 0 && dim1 == 0) 
        {
          resultdim = 0;
          if (entity0 == 0 && entity1 == 0) 
            {
              resultentity = 0;
            }
          else if (entity0 == 0 && entity1 == 1) 
            {
              resultentity = 3;
            }
          else if (entity0 == 1 && entity1 == 0) 
            {
              resultentity = 1;
            }
          else if (entity0 == 1 && entity1 == 1) 
            {
              resultentity = 2;
            } 
          else 
            {
              TEUCHOS_TEST_FOR_EXCEPTION( true , std::invalid_argument ,
                                  "Intrepid::ProductTopology::lineProduct2D: illegal inputs" );
            }
        }
      else if (dim0 == 0 && dim1 == 1) 
        {
          resultdim = 1;
          if (entity0 == 0 && entity1 == 0) 
            {
              resultentity = 3;
            }
          else if (entity0 == 1 && entity1 == 0) 
            {
              resultentity = 1;
            }
          else 
            {
              TEUCHOS_TEST_FOR_EXCEPTION( true , std::invalid_argument ,
                                  "Intrepid::ProductTopology::lineProduct2D: illegal inputs" );
            }
        }
      else if (dim0 == 1 && dim1 == 0) 
        {
          resultdim = 1;
          if (entity0 == 0 && entity1 == 0) 
            {
              resultentity = 0;
            }
          else if (entity0 == 0 && entity1 == 1) 
            {
              resultentity = 2;
            }
          else 
            {
              TEUCHOS_TEST_FOR_EXCEPTION( true , std::invalid_argument ,
                                  "Intrepid::ProductTopology::lineProduct2D: illegal inputs" );
            }
        }
      else if (dim0 == 1 && dim1 == 1) 
        {
          resultdim = 2;
          if (entity0 == 0 && entity1 == 0) 
            {
              resultentity = 0;
            }
          else 
            {
              TEUCHOS_TEST_FOR_EXCEPTION( true , std::invalid_argument ,
                                  "Intrepid::ProductTopology::lineProduct2D: illegal inputs" );
            }
        }
      else 
        {
          TEUCHOS_TEST_FOR_EXCEPTION( true , std::invalid_argument ,
                              "Intrepid::ProductTopology::lineProduct2D: illegal inputs" );
        }
      
    }

    static void lineProduct3d( const int dim0 ,
                               const int entity0 ,
                               const int dim1 ,
                               const int entity1 ,
                               const int dim2 ,
                               const int entity2 ,
                               int &resultdim ,
                               int &resultentity )
    {
      // on vertex
      if (dim0 == 0 && dim1 == 0 && dim2 == 0) 
        {
          resultdim = 0;
          if (entity0 == 0 && entity1 == 0 && entity2 == 0 ) 
            {
              resultentity = 0;
            }
          else if (entity0 == 0 && entity1 == 0 && entity2 == 1 ) 
            {
              resultentity = 4;
            }
          else if (entity0 == 0 && entity1 == 1 && entity2 == 0 ) 
            {
              resultentity = 3;
            }
          else if (entity0 == 0 && entity1 == 1 && entity2 == 1 ) 
            {
              resultentity = 7;
            }
          else if (entity0 == 1 && entity1 == 0 && entity2 == 0) 
            {
              resultentity = 1;
            }
          else if (entity0 == 1 && entity1 == 0 && entity2 == 1) 
            {
              resultentity = 5;
            }
          else if (entity0 == 1 && entity1 == 1 && entity2 == 0) 
            {
              resultentity = 2;
            }
          else if (entity0 == 1 && entity1 == 1 && entity2 == 1) 
            {
              resultentity = 6;
            }
          else 
            {
              TEUCHOS_TEST_FOR_EXCEPTION( true , std::invalid_argument ,
                                  "Intrepid::ProductTopology::lineProduct3D: illegal inputs" );
            }
        }
    // LINES
    // z coord is on line, other two on vertex, this makes an ascending vertical edge
    else if (dim0 == 0 && dim1 == 0 && dim2 == 1) 
      {
        resultdim = 1;
        if (entity0 == 0 && entity1 == 0 && entity2 == 0) 
          {
            resultentity = 8;
          }
        else if (entity0 == 0 && entity1 == 1 && entity2 == 0) 
          {
            resultentity = 11;
          }
        else if (entity0 == 1 && entity1 == 0 && entity2 == 0) 
          {
            resultentity = 9;
          }
        else if (entity0 == 1 && entity1 == 1 && entity2 == 0) 
          {
            resultentity = 10;
          }
        else 
          {
            TEUCHOS_TEST_FOR_EXCEPTION( true , std::invalid_argument ,
                                "Intrepid::ProductTopology::lineProduct3D: illegal inputs" );
          }
      }
      // only y coord is on line, other two on vertex, this makes line along y axis
    else if (dim0 == 0 && dim1 == 1 && dim2 == 0) 
      {
        resultdim = 1;
        if (entity0 == 0 && entity1 == 0 && entity2 == 0) 
          {
            resultentity = 3;
          }
        else if (entity0 == 0 && entity1 == 0 && entity2 == 1) 
          {
            resultentity = 7;
          }
        else if (entity0 == 1 && entity1 == 0 && entity2 == 0) 
          {
            resultentity = 1;
          }
        else if (entity0 == 1 && entity1 == 0 && entity2 == 1) 
          {
            resultentity = 5;
          }
        else 
          {
            TEUCHOS_TEST_FOR_EXCEPTION( true , std::invalid_argument ,
                                "Intrepid::ProductTopology::lineProduct3D: illegal inputs" );
          }
      }
    // x dof is on line, others on vertex.  
    else if (dim0 == 1 && dim1 == 0 && dim2 == 0) 
      {
        resultdim = 1;
        if (entity0 == 0 && entity1 == 0 && entity2 == 0) 
          {
            resultentity = 0;
          }
        else if (entity0 == 0 && entity1 == 0 && entity2 == 1) 
          {
            resultentity = 4;
          }
        else if (entity0 == 0 && entity1 == 1 && entity2 == 0) 
          {
            resultentity = 2;
          }
        else if (entity0 == 0 && entity1 == 1 && entity2 == 1) 
          {
            resultentity = 6;
          }
        else 
          {
            TEUCHOS_TEST_FOR_EXCEPTION( true , std::invalid_argument ,
                                "Intrepid::ProductTopology::lineProduct3D: illegal inputs" );
          }
      }
    // FACES, these require two of the line dimensions to be 1
    else if (dim0 == 0 && dim1 == 1 && dim2 == 1) 
      {
        resultdim = 2;
        if (entity0 == 0 && entity1 == 0 && entity2 == 0) 
          { 
            resultentity = 3;
          }
        else if (entity0 == 1 && entity1 == 0 && entity2 == 0) 
          { 
            resultentity = 1;
          }
        else 
          {
            TEUCHOS_TEST_FOR_EXCEPTION( true , std::invalid_argument ,
                                "Intrepid::ProductTopology::lineProduct3D: illegal inputs" );
          }
      }
    else if (dim0 == 1 && dim1 == 0 && dim2 == 1) 
      {
        resultdim = 2;
        if (entity0 == 0 && entity1 == 0 && entity2 == 0) 
          { 
            resultentity = 0;
          }
        else if (entity0 == 0 && entity1 == 1 && entity2 == 0) 
          { 
            resultentity = 2;
          }
      else 
        {
          TEUCHOS_TEST_FOR_EXCEPTION( true , std::invalid_argument ,
                              "Intrepid::ProductTopology::lineProduct3D: illegal inputs" );
        }
      }
    else if (dim0 == 1 && dim1 == 1 && dim2 == 0) 
      {
        resultdim = 2;
        if (entity0 == 0 && entity1 == 0 && entity2 == 0) 
          { 
            resultentity = 4;
          }
        else if (entity0 == 0 && entity1 == 0 && entity2 == 1) 
          { 
            resultentity = 5;
          }
      else 
        {
          TEUCHOS_TEST_FOR_EXCEPTION( true , std::invalid_argument ,
                              "Intrepid::ProductTopology::lineProduct3D: illegal inputs" );
        }
      }
     // CELL ITSELF
    else if (dim0 == 1 && dim1 == 1 && dim2 == 1) 
      {
        resultdim = 3;
        if (entity0 == 0 && entity1 == 0 && entity2 == 0) 
          {
            resultentity = 0;
          }
        else 
          {
            TEUCHOS_TEST_FOR_EXCEPTION( true , std::invalid_argument ,
                                "Intrepid::ProductTopology::lineProduct3D: illegal inputs" );
          }
      }
    }

  };
}

#endif