Intrepid
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00004 //                           Intrepid Package
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00043 
00049 namespace Intrepid {
00050 
00051 template<class Scalar, class ArrayScalar>
00052 Basis_HDIV_QUAD_I1_FEM<Scalar,ArrayScalar>::Basis_HDIV_QUAD_I1_FEM()
00053   {
00054     this -> basisCardinality_  = 4;
00055     this -> basisDegree_       = 1;
00056     this -> basisCellTopology_ = shards::CellTopology(shards::getCellTopologyData<shards::Quadrilateral<4> >() );
00057     this -> basisType_         = BASIS_FEM_DEFAULT;
00058     this -> basisCoordinates_  = COORDINATES_CARTESIAN;
00059     this -> basisTagsAreSet_   = false;
00060   }
00061   
00062 template<class Scalar, class ArrayScalar>
00063 void Basis_HDIV_QUAD_I1_FEM<Scalar, ArrayScalar>::initializeTags() {
00064   
00065   // Basis-dependent intializations
00066   int tagSize  = 4;        // size of DoF tag
00067   int posScDim = 0;        // position in the tag, counting from 0, of the subcell dim 
00068   int posScOrd = 1;        // position in the tag, counting from 0, of the subcell ordinal
00069   int posDfOrd = 2;        // position in the tag, counting from 0, of DoF ordinal relative to the subcell
00070 
00071   // An array with local DoF tags assigned to basis functions, in the order of their local enumeration 
00072   int tags[]  = {
00073                   1, 0, 0, 1,
00074                   1, 1, 0, 1,
00075                   1, 2, 0, 1,
00076                   1, 3, 0, 1
00077                 };
00078   
00079   // Basis-independent function sets tag and enum data in tagToOrdinal_ and ordinalToTag_ arrays:
00080   Intrepid::setOrdinalTagData(this -> tagToOrdinal_,
00081                               this -> ordinalToTag_,
00082                               tags,
00083                               this -> basisCardinality_,
00084                               tagSize,
00085                               posScDim,
00086                               posScOrd,
00087                               posDfOrd);
00088 }
00089 
00090 
00091 
00092 template<class Scalar, class ArrayScalar>
00093 void Basis_HDIV_QUAD_I1_FEM<Scalar, ArrayScalar>::getValues(ArrayScalar &        outputValues,
00094                                                            const ArrayScalar &  inputPoints,
00095                                                            const EOperator      operatorType) const {
00096   
00097 // Verify arguments
00098 #ifdef HAVE_INTREPID_DEBUG
00099   Intrepid::getValues_HDIV_Args<Scalar, ArrayScalar>(outputValues,
00100                                                       inputPoints,
00101                                                       operatorType,
00102                                                       this -> getBaseCellTopology(),
00103                                                       this -> getCardinality() );
00104 #endif
00105   
00106  // Number of evaluation points = dim 0 of inputPoints
00107   int dim0 = inputPoints.dimension(0);
00108 
00109   // Temporaries: (x,y) coordinates of the evaluation point
00110   Scalar x = 0.0;                                    
00111   Scalar y = 0.0;                                    
00112   
00113   switch (operatorType) {
00114     case OPERATOR_VALUE:
00115       for (int i0 = 0; i0 < dim0; i0++) {
00116         x = inputPoints(i0, 0);
00117         y = inputPoints(i0, 1);
00118         
00119         // outputValues is a rank-3 array with dimensions (basisCardinality_, dim0, spaceDim)
00120         outputValues(0, i0, 0) = 0.0;
00121         outputValues(0, i0, 1) = (y - 1.0)/4.0;
00122 
00123         outputValues(1, i0, 0) = (1.0 + x)/4.0;
00124         outputValues(1, i0, 1) = 0.0; 
00125 
00126         outputValues(2, i0, 0) = 0.0;
00127         outputValues(2, i0, 1) = (1.0 + y)/4.0;
00128 
00129         outputValues(3, i0, 0) = (x - 1.0)/4.0;
00130         outputValues(3, i0, 1) = 0.0;
00131       }
00132       break;
00133 
00134     case OPERATOR_DIV:
00135       // outputValues is a rank-2 array with dimensions (basisCardinality_, dim0)
00136       for (int i0 = 0; i0 < dim0; i0++) {
00137          outputValues(0, i0) = 0.25;
00138          outputValues(1, i0) = 0.25;
00139          outputValues(2, i0) = 0.25;
00140          outputValues(3, i0) = 0.25;
00141        }
00142       break;
00143 
00144     case OPERATOR_CURL:
00145        TEUCHOS_TEST_FOR_EXCEPTION( (operatorType == OPERATOR_CURL), std::invalid_argument,
00146                           ">>> ERROR (Basis_HDIV_QUAD_I1_FEM): CURL is invalid operator for HDIV Basis Functions");
00147       break;
00148       
00149     case OPERATOR_GRAD:
00150        TEUCHOS_TEST_FOR_EXCEPTION( (operatorType == OPERATOR_GRAD), std::invalid_argument,
00151                           ">>> ERROR (Basis_HDIV_QUAD_I1_FEM): GRAD is invalid operator for HDIV Basis Functions");
00152       break;
00153 
00154     case OPERATOR_D1:
00155     case OPERATOR_D2:
00156     case OPERATOR_D3:
00157     case OPERATOR_D4:
00158     case OPERATOR_D5:
00159     case OPERATOR_D6:
00160     case OPERATOR_D7:
00161     case OPERATOR_D8:
00162     case OPERATOR_D9:
00163     case OPERATOR_D10:
00164       TEUCHOS_TEST_FOR_EXCEPTION( ( (operatorType == OPERATOR_D1)    ||
00165                             (operatorType == OPERATOR_D2)    ||
00166                             (operatorType == OPERATOR_D3)    ||
00167                             (operatorType == OPERATOR_D4)    ||
00168                             (operatorType == OPERATOR_D5)    ||
00169                             (operatorType == OPERATOR_D6)    ||
00170                             (operatorType == OPERATOR_D7)    ||
00171                             (operatorType == OPERATOR_D8)    ||
00172                             (operatorType == OPERATOR_D9)    ||
00173                             (operatorType == OPERATOR_D10) ),
00174                           std::invalid_argument,
00175                           ">>> ERROR (Basis_HDIV_QUAD_I1_FEM): Invalid operator type");
00176       break;
00177       
00178     default:
00179       TEUCHOS_TEST_FOR_EXCEPTION( ( (operatorType != OPERATOR_VALUE) &&
00180                             (operatorType != OPERATOR_GRAD)  &&
00181                             (operatorType != OPERATOR_CURL)  &&
00182                             (operatorType != OPERATOR_DIV)   &&
00183                             (operatorType != OPERATOR_D1)    &&
00184                             (operatorType != OPERATOR_D2)    &&
00185                             (operatorType != OPERATOR_D3)    &&
00186                             (operatorType != OPERATOR_D4)    &&
00187                             (operatorType != OPERATOR_D5)    &&
00188                             (operatorType != OPERATOR_D6)    &&
00189                             (operatorType != OPERATOR_D7)    &&
00190                             (operatorType != OPERATOR_D8)    &&
00191                             (operatorType != OPERATOR_D9)    &&
00192                             (operatorType != OPERATOR_D10) ),
00193                           std::invalid_argument,
00194                           ">>> ERROR (Basis_HDIV_QUAD_I1_FEM): Invalid operator type");
00195   }
00196 }
00197 
00198 
00199   
00200 template<class Scalar, class ArrayScalar>
00201 void Basis_HDIV_QUAD_I1_FEM<Scalar, ArrayScalar>::getValues(ArrayScalar&           outputValues,
00202                                                            const ArrayScalar &    inputPoints,
00203                                                            const ArrayScalar &    cellVertices,
00204                                                            const EOperator        operatorType) const {
00205   TEUCHOS_TEST_FOR_EXCEPTION( (true), std::logic_error,
00206                       ">>> ERROR (Basis_HDIV_QUAD_I1_FEM): FEM Basis calling an FVD member function");
00207 }
00208 
00209 }// namespace Intrepid