Intrepid
http://trilinos.sandia.gov/packages/docs/r10.12/packages/intrepid/test/Discretization/Basis/HGRAD_QUAD_C1_FEM/test_01.cpp
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00003 //
00004 //                           Intrepid Package
00005 //                 Copyright (2007) Sandia Corporation
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00007 // Under terms of Contract DE-AC04-94AL85000, there is a non-exclusive
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00013 //
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00015 // notice, this list of conditions and the following disclaimer.
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00017 // 2. Redistributions in binary form must reproduce the above copyright
00018 // notice, this list of conditions and the following disclaimer in the
00019 // documentation and/or other materials provided with the distribution.
00020 //
00021 // 3. Neither the name of the Corporation nor the names of the
00022 // contributors may be used to endorse or promote products derived from
00023 // this software without specific prior written permission.
00024 //
00025 // THIS SOFTWARE IS PROVIDED BY SANDIA CORPORATION "AS IS" AND ANY
00026 // EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
00027 // IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
00028 // PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL SANDIA CORPORATION OR THE
00029 // CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
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00035 // SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
00036 //
00037 // Questions? Contact Pavel Bochev  (pbboche@sandia.gov)
00038 //                    Denis Ridzal  (dridzal@sandia.gov), or
00039 //                    Kara Peterson (kjpeter@sandia.gov)
00040 //
00041 // ************************************************************************
00042 // @HEADER
00043 
00048 #include "Intrepid_FieldContainer.hpp"
00049 #include "Intrepid_HGRAD_QUAD_C1_FEM.hpp"
00050 #include "Teuchos_oblackholestream.hpp"
00051 #include "Teuchos_RCP.hpp"
00052 #include "Teuchos_GlobalMPISession.hpp"
00053 
00054 using namespace std;
00055 using namespace Intrepid;
00056 
00057 #define INTREPID_TEST_COMMAND( S , throwCounter, nException )                                                              \
00058 {                                                                                                                          \
00059   ++nException;                                                                                                            \
00060   try {                                                                                                                    \
00061     S ;                                                                                                                    \
00062   }                                                                                                                        \
00063   catch (std::logic_error err) {                                                                                           \
00064       ++throwCounter;                                                                                                      \
00065       *outStream << "Expected Error " << nException << " -------------------------------------------------------------\n"; \
00066       *outStream << err.what() << '\n';                                                                                    \
00067       *outStream << "-------------------------------------------------------------------------------" << "\n\n";           \
00068   };                                                                                                                       \
00069 }
00070 
00071 int main(int argc, char *argv[]) {
00072 
00073   Teuchos::GlobalMPISession mpiSession(&argc, &argv);
00074   
00075   // This little trick lets us print to std::cout only if
00076   // a (dummy) command-line argument is provided.
00077   int iprint     = argc - 1;
00078   Teuchos::RCP<std::ostream> outStream;
00079   Teuchos::oblackholestream bhs; // outputs nothing
00080   if (iprint > 0)
00081     outStream = Teuchos::rcp(&std::cout, false);
00082   else
00083     outStream = Teuchos::rcp(&bhs, false);
00084   
00085   // Save the format state of the original std::cout.
00086   Teuchos::oblackholestream oldFormatState;
00087   oldFormatState.copyfmt(std::cout);
00088   
00089   *outStream \
00090     << "===============================================================================\n" \
00091     << "|                                                                             |\n" \
00092     << "|                 Unit Test (Basis_HGRAD_QUAD_C1_FEM)                         |\n" \
00093     << "|                                                                             |\n" \
00094     << "|     1) Conversion of Dof tags into Dof ordinals and back                    |\n" \
00095     << "|     2) Basis values for VALUE, GRAD, CURL, and Dk operators                 |\n" \
00096     << "|                                                                             |\n" \
00097     << "|  Questions? Contact  Pavel Bochev  (pbboche@sandia.gov),                    |\n" \
00098     << "|                      Denis Ridzal  (dridzal@sandia.gov),                    |\n" \
00099     << "|                      Kara Peterson (kjpeter@sandia.gov).                    |\n" \
00100     << "|                                                                             |\n" \
00101     << "|  Intrepid's website: http://trilinos.sandia.gov/packages/intrepid           |\n" \
00102     << "|  Trilinos website:   http://trilinos.sandia.gov                             |\n" \
00103     << "|                                                                             |\n" \
00104     << "===============================================================================\n"\
00105     << "| TEST 1: Basis creation, exception testing                                   |\n"\
00106     << "===============================================================================\n";
00107   
00108   // Define basis and error flag
00109   Basis_HGRAD_QUAD_C1_FEM<double, FieldContainer<double> > quadBasis;
00110   int errorFlag = 0;
00111 
00112   // Initialize throw counter for exception testing
00113   int nException     = 0;
00114   int throwCounter   = 0;
00115 
00116   // Define array containing the 4 vertices of the reference QUAD and its center.  
00117   FieldContainer<double> quadNodes(5, 2);
00118   quadNodes(0,0) = -1.0;  quadNodes(0,1) = -1.0;
00119   quadNodes(1,0) =  1.0;  quadNodes(1,1) = -1.0;
00120   quadNodes(2,0) =  1.0;  quadNodes(2,1) =  1.0;
00121   quadNodes(3,0) = -1.0;  quadNodes(3,1) =  1.0;
00122   quadNodes(4,0) =  0.0;  quadNodes(4,1) =  0.0;
00123   
00124   // Generic array for the output values; needs to be properly resized depending on the operator type
00125   FieldContainer<double> vals;
00126 
00127   try{
00128     // exception #1: DIV cannot be applied to scalar functions
00129     // resize vals to rank-2 container with dimensions (num. points, num. basis functions)
00130     vals.resize(quadBasis.getCardinality(), quadNodes.dimension(0));
00131     INTREPID_TEST_COMMAND( quadBasis.getValues(vals, quadNodes, OPERATOR_DIV), throwCounter, nException );
00132         
00133     // Exceptions 2-6: all bf tags/bf Ids below are wrong and should cause getDofOrdinal() and 
00134     // getDofTag() to access invalid array elements thereby causing bounds check exception
00135     // exception #2
00136     INTREPID_TEST_COMMAND( quadBasis.getDofOrdinal(3,0,0), throwCounter, nException );
00137     // exception #3
00138     INTREPID_TEST_COMMAND( quadBasis.getDofOrdinal(1,1,1), throwCounter, nException );
00139     // exception #4
00140     INTREPID_TEST_COMMAND( quadBasis.getDofOrdinal(0,4,0), throwCounter, nException );
00141     // exception #5
00142     INTREPID_TEST_COMMAND( quadBasis.getDofTag(5), throwCounter, nException );
00143     // exception #6
00144     INTREPID_TEST_COMMAND( quadBasis.getDofTag(-1), throwCounter, nException );
00145     
00146 #ifdef HAVE_INTREPID_DEBUG
00147     // Exceptions 7- test exception handling with incorrectly dimensioned input/output arrays
00148     // exception #7: input points array must be of rank-2
00149     FieldContainer<double> badPoints1(4, 5, 3);
00150     INTREPID_TEST_COMMAND( quadBasis.getValues(vals, badPoints1, OPERATOR_VALUE), throwCounter, nException );
00151     
00152     // exception #8 dimension 1 in the input point array must equal space dimension of the cell
00153     FieldContainer<double> badPoints2(4, 3);
00154     INTREPID_TEST_COMMAND( quadBasis.getValues(vals, badPoints2, OPERATOR_VALUE), throwCounter, nException );
00155     
00156     // exception #9 output values must be of rank-2 for OPERATOR_VALUE
00157     FieldContainer<double> badVals1(4, 3, 1);
00158     INTREPID_TEST_COMMAND( quadBasis.getValues(badVals1, quadNodes, OPERATOR_VALUE), throwCounter, nException );
00159 
00160     // exception #10 output values must be of rank-3 for OPERATOR_GRAD
00161     FieldContainer<double> badVals2(4, 3);
00162     INTREPID_TEST_COMMAND( quadBasis.getValues(badVals2, quadNodes, OPERATOR_GRAD), throwCounter, nException );
00163     
00164     // exception #11 output values must be of rank-3 for OPERATOR_CURL
00165     INTREPID_TEST_COMMAND( quadBasis.getValues(badVals2, quadNodes, OPERATOR_CURL), throwCounter, nException );
00166     
00167     // exception #12 output values must be of rank-3 for OPERATOR_D2
00168     INTREPID_TEST_COMMAND( quadBasis.getValues(badVals2, quadNodes, OPERATOR_D2), throwCounter, nException );
00169     
00170     // exception #13 incorrect 0th dimension of output array (must equal number of basis functions)
00171     FieldContainer<double> badVals3(quadBasis.getCardinality() + 1, quadNodes.dimension(0));
00172     INTREPID_TEST_COMMAND( quadBasis.getValues(badVals3, quadNodes, OPERATOR_VALUE), throwCounter, nException );
00173     
00174     // exception #14 incorrect 1st dimension of output array (must equal number of points)
00175     FieldContainer<double> badVals4(quadBasis.getCardinality(), quadNodes.dimension(0) + 1);
00176     INTREPID_TEST_COMMAND( quadBasis.getValues(badVals4, quadNodes, OPERATOR_VALUE), throwCounter, nException );
00177     
00178     // exception #15: incorrect 2nd dimension of output array (must equal the space dimension)
00179     FieldContainer<double> badVals5(quadBasis.getCardinality(), quadNodes.dimension(0), 4);
00180     INTREPID_TEST_COMMAND( quadBasis.getValues(badVals5, quadNodes, OPERATOR_GRAD), throwCounter, nException );
00181     
00182     // exception #16: incorrect 2nd dimension of output array (must equal D2 cardinality in 2D)
00183     FieldContainer<double> badVals6(quadBasis.getCardinality(), quadNodes.dimension(0), 40);
00184     INTREPID_TEST_COMMAND( quadBasis.getValues(badVals6, quadNodes, OPERATOR_D2), throwCounter, nException );
00185     
00186     // exception #17: incorrect 2nd dimension of output array (must equal D3 cardinality in 2D)
00187     INTREPID_TEST_COMMAND( quadBasis.getValues(badVals6, quadNodes, OPERATOR_D3), throwCounter, nException );
00188 #endif
00189 
00190   }
00191   catch (std::logic_error err) {
00192     *outStream << "UNEXPECTED ERROR !!! ----------------------------------------------------------\n";
00193     *outStream << err.what() << '\n';
00194     *outStream << "-------------------------------------------------------------------------------" << "\n\n";
00195     errorFlag = -1000;
00196   };
00197   
00198   // Check if number of thrown exceptions matches the one we expect 
00199   if (throwCounter != nException) {
00200     errorFlag++;
00201     *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
00202   }
00203   
00204   *outStream \
00205     << "\n"
00206     << "===============================================================================\n"\
00207     << "| TEST 2: correctness of tag to enum and enum to tag lookups                  |\n"\
00208     << "===============================================================================\n";
00209   
00210   try{
00211     std::vector<std::vector<int> > allTags = quadBasis.getAllDofTags();
00212     
00213     // Loop over all tags, lookup the associated dof enumeration and then lookup the tag again
00214     for (unsigned i = 0; i < allTags.size(); i++) {
00215       int bfOrd  = quadBasis.getDofOrdinal(allTags[i][0], allTags[i][1], allTags[i][2]);
00216       
00217       std::vector<int> myTag = quadBasis.getDofTag(bfOrd);
00218        if( !( (myTag[0] == allTags[i][0]) &&
00219               (myTag[1] == allTags[i][1]) &&
00220               (myTag[2] == allTags[i][2]) &&
00221               (myTag[3] == allTags[i][3]) ) ) {
00222         errorFlag++;
00223         *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
00224         *outStream << " getDofOrdinal( {" 
00225           << allTags[i][0] << ", " 
00226           << allTags[i][1] << ", " 
00227           << allTags[i][2] << ", " 
00228           << allTags[i][3] << "}) = " << bfOrd <<" but \n";   
00229         *outStream << " getDofTag(" << bfOrd << ") = { "
00230           << myTag[0] << ", " 
00231           << myTag[1] << ", " 
00232           << myTag[2] << ", " 
00233           << myTag[3] << "}\n";        
00234       }
00235     }
00236     
00237     // Now do the same but loop over basis functions
00238     for( int bfOrd = 0; bfOrd < quadBasis.getCardinality(); bfOrd++) {
00239       std::vector<int> myTag  = quadBasis.getDofTag(bfOrd);
00240       int myBfOrd = quadBasis.getDofOrdinal(myTag[0], myTag[1], myTag[2]);
00241       if( bfOrd != myBfOrd) {
00242         errorFlag++;
00243         *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
00244         *outStream << " getDofTag(" << bfOrd << ") = { "
00245           << myTag[0] << ", " 
00246           << myTag[1] << ", " 
00247           << myTag[2] << ", " 
00248           << myTag[3] << "} but getDofOrdinal({" 
00249           << myTag[0] << ", " 
00250           << myTag[1] << ", " 
00251           << myTag[2] << ", " 
00252           << myTag[3] << "} ) = " << myBfOrd << "\n";
00253       }
00254     }
00255   }
00256   catch (std::logic_error err){
00257     *outStream << err.what() << "\n\n";
00258     errorFlag = -1000;
00259   };
00260   
00261   *outStream \
00262     << "\n"
00263     << "===============================================================================\n"\
00264     << "| TEST 3: correctness of basis function values                                |\n"\
00265     << "===============================================================================\n";
00266   
00267   outStream -> precision(20);
00268   
00269   // VALUE: Each row gives the 4 correct basis set values at an evaluation point
00270   double basisValues[] = {
00271     1.0, 0.0, 0.0, 0.0,
00272     0.0, 1.0, 0.0, 0.0,
00273     0.0, 0.0, 1.0, 0.0,
00274     0.0, 0.0, 0.0, 1.0,
00275     0.25,0.25,0.25,0.25
00276   };
00277   
00278   // GRAD and D1: each row gives the 8 correct values of the gradients of the 4 basis functions
00279   double basisGrads[] = {
00280     -0.5, -0.5,    0.5,  0.0,    0.0,  0.0,    0.0,  0.5,
00281     -0.5,  0.0,    0.5, -0.5,    0.0,  0.5,    0.0,  0.0,
00282      0.0,  0.0,    0.0, -0.5,    0.5,  0.5,   -0.5,  0.0,
00283      0.0, -0.5,    0.0,  0.0,    0.5,  0.0,   -0.5,  0.5,
00284     -0.25,-0.25,   0.25,-0.25,   0.25, 0.25,  -0.25, 0.25 
00285   };
00286   
00287   // CURL: each row gives the 8 correct values of the curls of the 4 basis functions
00288   double basisCurls[] = {
00289     -0.5,  0.5,    0.0, -0.5,    0.0,  0.0,    0.5,  0.0,
00290      0.0,  0.5,   -0.5, -0.5,    0.5,  0.0,    0.0,  0.0,
00291      0.0,  0.0,   -0.5,  0.0,    0.5, -0.5,    0.0,  0.5,
00292     -0.5,  0.0,    0.0,  0.0,    0.0, -0.5,    0.5,  0.5,    
00293     -0.25, 0.25,  -0.25,-0.25,   0.25,-0.25,   0.25, 0.25 
00294   };
00295   
00296   //D2: each row gives the 12 correct values of all 2nd derivatives of the 4 basis functions
00297   double basisD2[] = {
00298     0.0, 0.25, 0.0,   0.0,-0.25, 0.0,   0.0, 0.25, 0.0,   0.0,-0.25, 0.0,
00299     0.0, 0.25, 0.0,   0.0,-0.25, 0.0,   0.0, 0.25, 0.0,   0.0,-0.25, 0.0,
00300     0.0, 0.25, 0.0,   0.0,-0.25, 0.0,   0.0, 0.25, 0.0,   0.0,-0.25, 0.0,
00301     0.0, 0.25, 0.0,   0.0,-0.25, 0.0,   0.0, 0.25, 0.0,   0.0,-0.25, 0.0,
00302     0.0, 0.25, 0.0,   0.0,-0.25, 0.0,   0.0, 0.25, 0.0,   0.0,-0.25, 0.0,
00303   };
00304   
00305   try{
00306         
00307     // Dimensions for the output arrays:
00308     int numFields = quadBasis.getCardinality();
00309     int numPoints = quadNodes.dimension(0);
00310     int spaceDim  = quadBasis.getBaseCellTopology().getDimension();
00311     int D2Cardin  = Intrepid::getDkCardinality(OPERATOR_D2, spaceDim);
00312     
00313     // Generic array for values, grads, curls, etc. that will be properly sized before each call
00314     FieldContainer<double> vals;
00315     
00316     // Check VALUE of basis functions: resize vals to rank-2 container:
00317     vals.resize(numFields, numPoints);
00318     quadBasis.getValues(vals, quadNodes, OPERATOR_VALUE);
00319     for (int i = 0; i < numFields; i++) {
00320       for (int j = 0; j < numPoints; j++) {
00321           int l =  i + j * numFields;
00322            if (std::abs(vals(i,j) - basisValues[l]) > INTREPID_TOL) {
00323              errorFlag++;
00324              *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
00325 
00326              // Output the multi-index of the value where the error is:
00327              *outStream << " At multi-index { ";
00328              *outStream << i << " ";*outStream << j << " ";
00329              *outStream << "}  computed value: " << vals(i,j)
00330                << " but reference value: " << basisValues[l] << "\n";
00331          }
00332       }
00333     }
00334 
00335     // Check GRAD of basis function: resize vals to rank-3 container
00336     vals.resize(numFields, numPoints, spaceDim);
00337     quadBasis.getValues(vals, quadNodes, OPERATOR_GRAD);
00338     for (int i = 0; i < numFields; i++) {
00339       for (int j = 0; j < numPoints; j++) {
00340         for (int k = 0; k < spaceDim; k++) {
00341            int l = k + i * spaceDim + j * spaceDim * numFields;
00342            if (std::abs(vals(i,j,k) - basisGrads[l]) > INTREPID_TOL) {
00343              errorFlag++;
00344              *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
00345 
00346              // Output the multi-index of the value where the error is:
00347              *outStream << " At multi-index { ";
00348              *outStream << i << " ";*outStream << j << " ";*outStream << k << " ";
00349              *outStream << "}  computed grad component: " << vals(i,j,k)
00350                << " but reference grad component: " << basisGrads[l] << "\n";
00351             }
00352          }
00353       }
00354     }
00355 
00356     
00357     // Check D1 of basis function (do not resize vals because it has the correct size: D1 = GRAD)
00358     quadBasis.getValues(vals, quadNodes, OPERATOR_D1);
00359     for (int i = 0; i < numFields; i++) {
00360       for (int j = 0; j < numPoints; j++) {
00361         for (int k = 0; k < spaceDim; k++) {
00362            int l = k + i * spaceDim + j * spaceDim * numFields;
00363            if (std::abs(vals(i,j,k) - basisGrads[l]) > INTREPID_TOL) {
00364              errorFlag++;
00365              *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
00366 
00367              // Output the multi-index of the value where the error is:
00368              *outStream << " At multi-index { ";
00369              *outStream << i << " ";*outStream << j << " ";*outStream << k << " ";
00370              *outStream << "}  computed D1 component: " << vals(i,j,k)
00371                << " but reference D1 component: " << basisGrads[l] << "\n";
00372             }
00373          }
00374       }
00375     }
00376 
00377 
00378     // Check CURL of basis function: resize vals just for illustration! 
00379     vals.resize(numFields, numPoints, spaceDim);
00380     quadBasis.getValues(vals, quadNodes, OPERATOR_CURL);
00381     for (int i = 0; i < numFields; i++) {
00382       for (int j = 0; j < numPoints; j++) {
00383         for (int k = 0; k < spaceDim; k++) {
00384            int l = k + i * spaceDim + j * spaceDim * numFields;
00385            if (std::abs(vals(i,j,k) - basisCurls[l]) > INTREPID_TOL) {
00386              errorFlag++;
00387              *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
00388 
00389              // Output the multi-index of the value where the error is:
00390              *outStream << " At multi-index { ";
00391              *outStream << i << " ";*outStream << j << " ";*outStream << k << " ";
00392              *outStream << "}  computed curl component: " << vals(i,j,k)
00393                << " but reference curl component: " << basisCurls[l] << "\n";
00394             }
00395          }
00396       }
00397     }
00398     
00399     // Check D2 of basis function
00400     vals.resize(numFields, numPoints, D2Cardin);    
00401     quadBasis.getValues(vals, quadNodes, OPERATOR_D2);
00402     for (int i = 0; i < numFields; i++) {
00403       for (int j = 0; j < numPoints; j++) {
00404         for (int k = 0; k < D2Cardin; k++) {
00405            int l = k + i * D2Cardin + j * D2Cardin * numFields;
00406            if (std::abs(vals(i,j,k) - basisD2[l]) > INTREPID_TOL) {
00407              errorFlag++;
00408              *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
00409 
00410              // Output the multi-index of the value where the error is:
00411              *outStream << " At multi-index { ";
00412              *outStream << i << " ";*outStream << j << " ";*outStream << k << " ";
00413              *outStream << "}  computed D2 component: " << vals(i,j,k)
00414                << " but reference D2 component: " << basisD2[l] << "\n";
00415             }
00416          }
00417       }
00418     }
00419 
00420 
00421     // Check all higher derivatives - must be zero. 
00422     for(EOperator op = OPERATOR_D3; op < OPERATOR_MAX; op++) {
00423       
00424       // The last dimension is the number of kth derivatives and needs to be resized for every Dk
00425       int DkCardin  = Intrepid::getDkCardinality(op, spaceDim);
00426       vals.resize(numFields, numPoints, DkCardin);    
00427 
00428       quadBasis.getValues(vals, quadNodes, op);
00429       for (int i = 0; i < vals.size(); i++) {
00430         if (std::abs(vals[i]) > INTREPID_TOL) {
00431           errorFlag++;
00432           *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
00433           
00434           // Get the multi-index of the value where the error is and the operator order
00435           std::vector<int> myIndex;
00436           vals.getMultiIndex(myIndex,i);
00437           int ord = Intrepid::getOperatorOrder(op);
00438           *outStream << " At multi-index { ";
00439           for(int j = 0; j < vals.rank(); j++) {
00440             *outStream << myIndex[j] << " ";
00441           }
00442           *outStream << "}  computed D"<< ord <<" component: " << vals[i] 
00443             << " but reference D" << ord << " component:  0 \n";
00444         }
00445       }
00446     }    
00447   }
00448   // Catch unexpected errors
00449   catch (std::logic_error err) {
00450     *outStream << err.what() << "\n\n";
00451     errorFlag = -1000;
00452   };
00453 
00454 
00455   *outStream \
00456     << "\n"
00457     << "===============================================================================\n"\
00458     << "| TEST 4: correctness of DoF locations                                        |\n"\
00459     << "===============================================================================\n";
00460 
00461   try{
00462     Teuchos::RCP<Basis<double, FieldContainer<double> > > basis =
00463       Teuchos::rcp(new Basis_HGRAD_QUAD_C1_FEM<double, FieldContainer<double> >);
00464     Teuchos::RCP<DofCoordsInterface<FieldContainer<double> > > coord_iface =
00465       Teuchos::rcp_dynamic_cast<DofCoordsInterface<FieldContainer<double> > >(basis);
00466 
00467     FieldContainer<double> cvals;
00468     FieldContainer<double> bvals(basis->getCardinality(), basis->getCardinality());
00469 
00470     // Check exceptions.
00471 #ifdef HAVE_INTREPID_DEBUG
00472     cvals.resize(1,2,3);
00473     INTREPID_TEST_COMMAND( coord_iface->getDofCoords(cvals), throwCounter, nException );
00474     cvals.resize(3,2);
00475     INTREPID_TEST_COMMAND( coord_iface->getDofCoords(cvals), throwCounter, nException );
00476     cvals.resize(4,3);
00477     INTREPID_TEST_COMMAND( coord_iface->getDofCoords(cvals), throwCounter, nException );
00478 #endif
00479     cvals.resize(4,2);
00480     INTREPID_TEST_COMMAND( coord_iface->getDofCoords(cvals), throwCounter, nException ); nException--;
00481     // Check if number of thrown exceptions matches the one we expect
00482     if (throwCounter != nException) {
00483       errorFlag++;
00484       *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
00485     }
00486 
00487     // Check mathematical correctness.
00488     basis->getValues(bvals, cvals, OPERATOR_VALUE);
00489     char buffer[120];
00490     for (int i=0; i<bvals.dimension(0); i++) {
00491       for (int j=0; j<bvals.dimension(1); j++) {
00492         if ((i != j) && (std::abs(bvals(i,j) - 0.0) > INTREPID_TOL)) {
00493           errorFlag++;
00494           sprintf(buffer, "\nValue of basis function %d at (%6.4e, %6.4e) is %6.4e but should be %6.4e!\n", i, cvals(i,0), cvals(i,1), bvals(i,j), 0.0);
00495           *outStream << buffer;
00496         }
00497         else if ((i == j) && (std::abs(bvals(i,j) - 1.0) > INTREPID_TOL)) {
00498           errorFlag++;
00499           sprintf(buffer, "\nValue of basis function %d at (%6.4e, %6.4e) is %6.4e but should be %6.4e!\n", i, cvals(i,0), cvals(i,1), bvals(i,j), 1.0);
00500           *outStream << buffer;
00501         }
00502       }
00503     }
00504 
00505   }
00506   catch (std::logic_error err){
00507     *outStream << err.what() << "\n\n";
00508     errorFlag = -1000;
00509   };
00510 
00511   if (errorFlag != 0)
00512     std::cout << "End Result: TEST FAILED\n";
00513   else
00514     std::cout << "End Result: TEST PASSED\n";
00515   
00516   // reset format state of std::cout
00517   std::cout.copyfmt(oldFormatState);
00518   
00519   return errorFlag;
00520 }