Intrepid
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00001 // @HEADER
00002 // ************************************************************************
00003 //
00004 //                           Intrepid Package
00005 //                 Copyright (2007) Sandia Corporation
00006 //
00007 // Under terms of Contract DE-AC04-94AL85000, there is a non-exclusive
00008 // license for use of this work by or on behalf of the U.S. Government.
00009 //
00010 // This library is free software; you can redistribute it and/or modify
00011 // it under the terms of the GNU Lesser General Public License as
00012 // published by the Free Software Foundation; either version 2.1 of the
00013 // License, or (at your option) any later version.
00014 //
00015 // This library is distributed in the hope that it will be useful, but
00016 // WITHOUT ANY WARRANTY; without even the implied warranty of
00017 // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
00018 // Lesser General Public License for more details.
00019 //
00020 // You should have received a copy of the GNU Lesser General Public
00021 // License along with this library; if not, write to the Free Software
00022 // Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307
00023 // USA
00024 // Questions? Contact Pavel Bochev (pbboche@sandia.gov) or
00025 //                    Denis Ridzal (dridzal@sandia.gov)
00026 //                    Kara Peterson (kjpeter@sandia.gov).
00027 //
00028 // ************************************************************************
00029 // @HEADER
00030 
00036 namespace Intrepid {
00037 
00038 template<class Scalar, class ArrayScalar>
00039 Basis_HDIV_TET_I1_FEM<Scalar,ArrayScalar>::Basis_HDIV_TET_I1_FEM()
00040   {
00041     this -> basisCardinality_  = 4;
00042     this -> basisDegree_       = 1;
00043     this -> basisCellTopology_ = shards::CellTopology(shards::getCellTopologyData<shards::Tetrahedron<4> >() );
00044     this -> basisType_         = BASIS_FEM_DEFAULT;
00045     this -> basisCoordinates_  = COORDINATES_CARTESIAN;
00046     this -> basisTagsAreSet_   = false;
00047   }
00048   
00049 template<class Scalar, class ArrayScalar>
00050 void Basis_HDIV_TET_I1_FEM<Scalar, ArrayScalar>::initializeTags() {
00051   
00052   // Basis-dependent intializations
00053   int tagSize  = 4;        // size of DoF tag
00054   int posScDim = 0;        // position in the tag, counting from 0, of the subcell dim 
00055   int posScOrd = 1;        // position in the tag, counting from 0, of the subcell ordinal
00056   int posDfOrd = 2;        // position in the tag, counting from 0, of DoF ordinal relative to the subcell
00057 
00058   // An array with local DoF tags assigned to basis functions, in the order of their local enumeration 
00059   int tags[]  = {
00060                   2, 0, 0, 1,
00061                   2, 1, 0, 1,
00062                   2, 2, 0, 1,
00063                   2, 3, 0, 1,
00064                 };
00065   
00066   // Basis-independent function sets tag and enum data in tagToOrdinal_ and ordinalToTag_ arrays:
00067   Intrepid::setOrdinalTagData(this -> tagToOrdinal_,
00068                               this -> ordinalToTag_,
00069                               tags,
00070                               this -> basisCardinality_,
00071                               tagSize,
00072                               posScDim,
00073                               posScOrd,
00074                               posDfOrd);
00075 }
00076 
00077 
00078 
00079 template<class Scalar, class ArrayScalar>
00080 void Basis_HDIV_TET_I1_FEM<Scalar, ArrayScalar>::getValues(ArrayScalar &        outputValues,
00081                                                            const ArrayScalar &  inputPoints,
00082                                                            const EOperator      operatorType) const {
00083   
00084 // Verify arguments
00085 #ifdef HAVE_INTREPID_DEBUG
00086   Intrepid::getValues_HDIV_Args<Scalar, ArrayScalar>(outputValues,
00087                                                       inputPoints,
00088                                                       operatorType,
00089                                                       this -> getBaseCellTopology(),
00090                                                       this -> getCardinality() );
00091 #endif
00092 
00093  // Number of evaluation points = dim 0 of inputPoints
00094   int dim0 = inputPoints.dimension(0);
00095 
00096   // Temporaries: (x,y,z) coordinates of the evaluation point
00097   Scalar x = 0.0;                                    
00098   Scalar y = 0.0;                                    
00099   Scalar z = 0.0;                                    
00100   
00101   switch (operatorType) {
00102     case OPERATOR_VALUE:
00103       for (int i0 = 0; i0 < dim0; i0++) {
00104         x = inputPoints(i0, 0);
00105         y = inputPoints(i0, 1);
00106         z = inputPoints(i0, 2);
00107         
00108         // outputValues is a rank-3 array with dimensions (basisCardinality_, dim0, spaceDim)
00109         outputValues(0, i0, 0) = 2.0*x;
00110         outputValues(0, i0, 1) = 2.0*(y - 1.0);
00111         outputValues(0, i0, 2) = 2.0*z;
00112 
00113         outputValues(1, i0, 0) = 2.0*x;
00114         outputValues(1, i0, 1) = 2.0*y;
00115         outputValues(1, i0, 2) = 2.0*z;
00116 
00117         outputValues(2, i0, 0) = 2.0*(x - 1.0);
00118         outputValues(2, i0, 1) = 2.0*y;
00119         outputValues(2, i0, 2) = 2.0*z;
00120 
00121         outputValues(3, i0, 0) = 2.0*x;
00122         outputValues(3, i0, 1) = 2.0*y;
00123         outputValues(3, i0, 2) = 2.0*(z - 1.0);
00124       }
00125       break;
00126 
00127     case OPERATOR_DIV:
00128       // outputValues is a rank-2 array with dimensions (basisCardinality_, dim0)
00129       for (int i0 = 0; i0 < dim0; i0++) {
00130          outputValues(0, i0) = 6.0;
00131          outputValues(1, i0) = 6.0;
00132          outputValues(2, i0) = 6.0;
00133          outputValues(3, i0) = 6.0;
00134        }
00135       break;
00136 
00137     case OPERATOR_CURL:
00138        TEST_FOR_EXCEPTION( (operatorType == OPERATOR_CURL), std::invalid_argument,
00139                           ">>> ERROR (Basis_HDIV_TET_I1_FEM): CURL is invalid operator for HDIV Basis Functions");
00140       break;
00141       
00142     case OPERATOR_GRAD:
00143        TEST_FOR_EXCEPTION( (operatorType == OPERATOR_GRAD), std::invalid_argument,
00144                           ">>> ERROR (Basis_HDIV_TET_I1_FEM): GRAD is invalid operator for HDIV Basis Functions");
00145       break;
00146 
00147     case OPERATOR_D1:
00148     case OPERATOR_D2:
00149     case OPERATOR_D3:
00150     case OPERATOR_D4:
00151     case OPERATOR_D5:
00152     case OPERATOR_D6:
00153     case OPERATOR_D7:
00154     case OPERATOR_D8:
00155     case OPERATOR_D9:
00156     case OPERATOR_D10:
00157       TEST_FOR_EXCEPTION( ( (operatorType == OPERATOR_D1)    ||
00158                             (operatorType == OPERATOR_D2)    ||
00159                             (operatorType == OPERATOR_D3)    ||
00160                             (operatorType == OPERATOR_D4)    ||
00161                             (operatorType == OPERATOR_D5)    ||
00162                             (operatorType == OPERATOR_D6)    ||
00163                             (operatorType == OPERATOR_D7)    ||
00164                             (operatorType == OPERATOR_D8)    ||
00165                             (operatorType == OPERATOR_D9)    ||
00166                             (operatorType == OPERATOR_D10) ),
00167                           std::invalid_argument,
00168                           ">>> ERROR (Basis_HDIV_TET_I1_FEM): Invalid operator type");
00169       break;
00170       
00171     default:
00172       TEST_FOR_EXCEPTION( ( (operatorType != OPERATOR_VALUE) &&
00173                             (operatorType != OPERATOR_GRAD)  &&
00174                             (operatorType != OPERATOR_CURL)  &&
00175                             (operatorType != OPERATOR_DIV)   &&
00176                             (operatorType != OPERATOR_D1)    &&
00177                             (operatorType != OPERATOR_D2)    &&
00178                             (operatorType != OPERATOR_D3)    &&
00179                             (operatorType != OPERATOR_D4)    &&
00180                             (operatorType != OPERATOR_D5)    &&
00181                             (operatorType != OPERATOR_D6)    &&
00182                             (operatorType != OPERATOR_D7)    &&
00183                             (operatorType != OPERATOR_D8)    &&
00184                             (operatorType != OPERATOR_D9)    &&
00185                             (operatorType != OPERATOR_D10) ),
00186                           std::invalid_argument,
00187                           ">>> ERROR (Basis_HDIV_TET_I1_FEM): Invalid operator type");
00188   }
00189 }
00190 
00191 
00192   
00193 template<class Scalar, class ArrayScalar>
00194 void Basis_HDIV_TET_I1_FEM<Scalar, ArrayScalar>::getValues(ArrayScalar&           outputValues,
00195                                                             const ArrayScalar &    inputPoints,
00196                                                             const ArrayScalar &    cellVertices,
00197                                                             const EOperator        operatorType) const {
00198   TEST_FOR_EXCEPTION( (true), std::logic_error,
00199                       ">>> ERROR (Basis_HDIV_TET_I1_FEM): FEM Basis calling an FVD member function");
00200                                                              }
00201 
00202 }// namespace Intrepid