Intrepid
/usr/src/RPM/BUILD/trilinos10-10.6.4/packages/intrepid/test/Discretization/Basis/HGRAD_QUAD_C1_FEM/test_01.cpp
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), 
00025 //                    Denis Ridzal  (dridzal@sandia.gov),
00026 //                    Kara Peterson (kjpeter@sandia.gov).
00027 //
00028 // ************************************************************************
00029 // @HEADER
00030 
00035 #include "Intrepid_FieldContainer.hpp"
00036 #include "Intrepid_HGRAD_QUAD_C1_FEM.hpp"
00037 #include "Teuchos_oblackholestream.hpp"
00038 #include "Teuchos_RCP.hpp"
00039 #include "Teuchos_GlobalMPISession.hpp"
00040 
00041 using namespace std;
00042 using namespace Intrepid;
00043 
00044 #define INTREPID_TEST_COMMAND( S , throwCounter, nException )                                                              \
00045 {                                                                                                                          \
00046   ++nException;                                                                                                            \
00047   try {                                                                                                                    \
00048     S ;                                                                                                                    \
00049   }                                                                                                                        \
00050   catch (std::logic_error err) {                                                                                           \
00051       ++throwCounter;                                                                                                      \
00052       *outStream << "Expected Error " << nException << " -------------------------------------------------------------\n"; \
00053       *outStream << err.what() << '\n';                                                                                    \
00054       *outStream << "-------------------------------------------------------------------------------" << "\n\n";           \
00055   };                                                                                                                       \
00056 }
00057 
00058 int main(int argc, char *argv[]) {
00059 
00060   Teuchos::GlobalMPISession mpiSession(&argc, &argv);
00061   
00062   // This little trick lets us print to std::cout only if
00063   // a (dummy) command-line argument is provided.
00064   int iprint     = argc - 1;
00065   Teuchos::RCP<std::ostream> outStream;
00066   Teuchos::oblackholestream bhs; // outputs nothing
00067   if (iprint > 0)
00068     outStream = Teuchos::rcp(&std::cout, false);
00069   else
00070     outStream = Teuchos::rcp(&bhs, false);
00071   
00072   // Save the format state of the original std::cout.
00073   Teuchos::oblackholestream oldFormatState;
00074   oldFormatState.copyfmt(std::cout);
00075   
00076   *outStream \
00077     << "===============================================================================\n" \
00078     << "|                                                                             |\n" \
00079     << "|                 Unit Test (Basis_HGRAD_QUAD_C1_FEM)                         |\n" \
00080     << "|                                                                             |\n" \
00081     << "|     1) Conversion of Dof tags into Dof ordinals and back                    |\n" \
00082     << "|     2) Basis values for VALUE, GRAD, CURL, and Dk operators                 |\n" \
00083     << "|                                                                             |\n" \
00084     << "|  Questions? Contact  Pavel Bochev  (pbboche@sandia.gov),                    |\n" \
00085     << "|                      Denis Ridzal  (dridzal@sandia.gov),                    |\n" \
00086     << "|                      Kara Peterson (kjpeter@sandia.gov).                    |\n" \
00087     << "|                                                                             |\n" \
00088     << "|  Intrepid's website: http://trilinos.sandia.gov/packages/intrepid           |\n" \
00089     << "|  Trilinos website:   http://trilinos.sandia.gov                             |\n" \
00090     << "|                                                                             |\n" \
00091     << "===============================================================================\n"\
00092     << "| TEST 1: Basis creation, exception testing                                   |\n"\
00093     << "===============================================================================\n";
00094   
00095   // Define basis and error flag
00096   Basis_HGRAD_QUAD_C1_FEM<double, FieldContainer<double> > quadBasis;
00097   int errorFlag = 0;
00098 
00099   // Initialize throw counter for exception testing
00100   int nException     = 0;
00101   int throwCounter   = 0;
00102 
00103   // Define array containing the 4 vertices of the reference QUAD and its center.  
00104   FieldContainer<double> quadNodes(5, 2);
00105   quadNodes(0,0) = -1.0;  quadNodes(0,1) = -1.0;
00106   quadNodes(1,0) =  1.0;  quadNodes(1,1) = -1.0;
00107   quadNodes(2,0) =  1.0;  quadNodes(2,1) =  1.0;
00108   quadNodes(3,0) = -1.0;  quadNodes(3,1) =  1.0;
00109   quadNodes(4,0) =  0.0;  quadNodes(4,1) =  0.0;
00110   
00111   // Generic array for the output values; needs to be properly resized depending on the operator type
00112   FieldContainer<double> vals;
00113 
00114   try{
00115     // exception #1: DIV cannot be applied to scalar functions
00116     // resize vals to rank-2 container with dimensions (num. points, num. basis functions)
00117     vals.resize(quadBasis.getCardinality(), quadNodes.dimension(0));
00118     INTREPID_TEST_COMMAND( quadBasis.getValues(vals, quadNodes, OPERATOR_DIV), throwCounter, nException );
00119         
00120     // Exceptions 2-6: all bf tags/bf Ids below are wrong and should cause getDofOrdinal() and 
00121     // getDofTag() to access invalid array elements thereby causing bounds check exception
00122     // exception #2
00123     INTREPID_TEST_COMMAND( quadBasis.getDofOrdinal(3,0,0), throwCounter, nException );
00124     // exception #3
00125     INTREPID_TEST_COMMAND( quadBasis.getDofOrdinal(1,1,1), throwCounter, nException );
00126     // exception #4
00127     INTREPID_TEST_COMMAND( quadBasis.getDofOrdinal(0,4,0), throwCounter, nException );
00128     // exception #5
00129     INTREPID_TEST_COMMAND( quadBasis.getDofTag(5), throwCounter, nException );
00130     // exception #6
00131     INTREPID_TEST_COMMAND( quadBasis.getDofTag(-1), throwCounter, nException );
00132     
00133 #ifdef HAVE_INTREPID_DEBUG
00134     // Exceptions 7- test exception handling with incorrectly dimensioned input/output arrays
00135     // exception #7: input points array must be of rank-2
00136     FieldContainer<double> badPoints1(4, 5, 3);
00137     INTREPID_TEST_COMMAND( quadBasis.getValues(vals, badPoints1, OPERATOR_VALUE), throwCounter, nException );
00138     
00139     // exception #8 dimension 1 in the input point array must equal space dimension of the cell
00140     FieldContainer<double> badPoints2(4, 3);
00141     INTREPID_TEST_COMMAND( quadBasis.getValues(vals, badPoints2, OPERATOR_VALUE), throwCounter, nException );
00142     
00143     // exception #9 output values must be of rank-2 for OPERATOR_VALUE
00144     FieldContainer<double> badVals1(4, 3, 1);
00145     INTREPID_TEST_COMMAND( quadBasis.getValues(badVals1, quadNodes, OPERATOR_VALUE), throwCounter, nException );
00146 
00147     // exception #10 output values must be of rank-3 for OPERATOR_GRAD
00148     FieldContainer<double> badVals2(4, 3);
00149     INTREPID_TEST_COMMAND( quadBasis.getValues(badVals2, quadNodes, OPERATOR_GRAD), throwCounter, nException );
00150     
00151     // exception #11 output values must be of rank-3 for OPERATOR_CURL
00152     INTREPID_TEST_COMMAND( quadBasis.getValues(badVals2, quadNodes, OPERATOR_CURL), throwCounter, nException );
00153     
00154     // exception #12 output values must be of rank-3 for OPERATOR_D2
00155     INTREPID_TEST_COMMAND( quadBasis.getValues(badVals2, quadNodes, OPERATOR_D2), throwCounter, nException );
00156     
00157     // exception #13 incorrect 0th dimension of output array (must equal number of basis functions)
00158     FieldContainer<double> badVals3(quadBasis.getCardinality() + 1, quadNodes.dimension(0));
00159     INTREPID_TEST_COMMAND( quadBasis.getValues(badVals3, quadNodes, OPERATOR_VALUE), throwCounter, nException );
00160     
00161     // exception #14 incorrect 1st dimension of output array (must equal number of points)
00162     FieldContainer<double> badVals4(quadBasis.getCardinality(), quadNodes.dimension(0) + 1);
00163     INTREPID_TEST_COMMAND( quadBasis.getValues(badVals4, quadNodes, OPERATOR_VALUE), throwCounter, nException );
00164     
00165     // exception #15: incorrect 2nd dimension of output array (must equal the space dimension)
00166     FieldContainer<double> badVals5(quadBasis.getCardinality(), quadNodes.dimension(0), 4);
00167     INTREPID_TEST_COMMAND( quadBasis.getValues(badVals5, quadNodes, OPERATOR_GRAD), throwCounter, nException );
00168     
00169     // exception #16: incorrect 2nd dimension of output array (must equal D2 cardinality in 2D)
00170     FieldContainer<double> badVals6(quadBasis.getCardinality(), quadNodes.dimension(0), 40);
00171     INTREPID_TEST_COMMAND( quadBasis.getValues(badVals6, quadNodes, OPERATOR_D2), throwCounter, nException );
00172     
00173     // exception #17: incorrect 2nd dimension of output array (must equal D3 cardinality in 2D)
00174     INTREPID_TEST_COMMAND( quadBasis.getValues(badVals6, quadNodes, OPERATOR_D3), throwCounter, nException );
00175 #endif
00176 
00177   }
00178   catch (std::logic_error err) {
00179     *outStream << "UNEXPECTED ERROR !!! ----------------------------------------------------------\n";
00180     *outStream << err.what() << '\n';
00181     *outStream << "-------------------------------------------------------------------------------" << "\n\n";
00182     errorFlag = -1000;
00183   };
00184   
00185   // Check if number of thrown exceptions matches the one we expect 
00186   if (throwCounter != nException) {
00187     errorFlag++;
00188     *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
00189   }
00190   
00191   *outStream \
00192     << "\n"
00193     << "===============================================================================\n"\
00194     << "| TEST 2: correctness of tag to enum and enum to tag lookups                  |\n"\
00195     << "===============================================================================\n";
00196   
00197   try{
00198     std::vector<std::vector<int> > allTags = quadBasis.getAllDofTags();
00199     
00200     // Loop over all tags, lookup the associated dof enumeration and then lookup the tag again
00201     for (unsigned i = 0; i < allTags.size(); i++) {
00202       int bfOrd  = quadBasis.getDofOrdinal(allTags[i][0], allTags[i][1], allTags[i][2]);
00203       
00204       std::vector<int> myTag = quadBasis.getDofTag(bfOrd);
00205        if( !( (myTag[0] == allTags[i][0]) &&
00206               (myTag[1] == allTags[i][1]) &&
00207               (myTag[2] == allTags[i][2]) &&
00208               (myTag[3] == allTags[i][3]) ) ) {
00209         errorFlag++;
00210         *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
00211         *outStream << " getDofOrdinal( {" 
00212           << allTags[i][0] << ", " 
00213           << allTags[i][1] << ", " 
00214           << allTags[i][2] << ", " 
00215           << allTags[i][3] << "}) = " << bfOrd <<" but \n";   
00216         *outStream << " getDofTag(" << bfOrd << ") = { "
00217           << myTag[0] << ", " 
00218           << myTag[1] << ", " 
00219           << myTag[2] << ", " 
00220           << myTag[3] << "}\n";        
00221       }
00222     }
00223     
00224     // Now do the same but loop over basis functions
00225     for( int bfOrd = 0; bfOrd < quadBasis.getCardinality(); bfOrd++) {
00226       std::vector<int> myTag  = quadBasis.getDofTag(bfOrd);
00227       int myBfOrd = quadBasis.getDofOrdinal(myTag[0], myTag[1], myTag[2]);
00228       if( bfOrd != myBfOrd) {
00229         errorFlag++;
00230         *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
00231         *outStream << " getDofTag(" << bfOrd << ") = { "
00232           << myTag[0] << ", " 
00233           << myTag[1] << ", " 
00234           << myTag[2] << ", " 
00235           << myTag[3] << "} but getDofOrdinal({" 
00236           << myTag[0] << ", " 
00237           << myTag[1] << ", " 
00238           << myTag[2] << ", " 
00239           << myTag[3] << "} ) = " << myBfOrd << "\n";
00240       }
00241     }
00242   }
00243   catch (std::logic_error err){
00244     *outStream << err.what() << "\n\n";
00245     errorFlag = -1000;
00246   };
00247   
00248   *outStream \
00249     << "\n"
00250     << "===============================================================================\n"\
00251     << "| TEST 3: correctness of basis function values                                |\n"\
00252     << "===============================================================================\n";
00253   
00254   outStream -> precision(20);
00255   
00256   // VALUE: Each row gives the 4 correct basis set values at an evaluation point
00257   double basisValues[] = {
00258     1.0, 0.0, 0.0, 0.0,
00259     0.0, 1.0, 0.0, 0.0,
00260     0.0, 0.0, 1.0, 0.0,
00261     0.0, 0.0, 0.0, 1.0,
00262     0.25,0.25,0.25,0.25
00263   };
00264   
00265   // GRAD and D1: each row gives the 8 correct values of the gradients of the 4 basis functions
00266   double basisGrads[] = {
00267     -0.5, -0.5,    0.5,  0.0,    0.0,  0.0,    0.0,  0.5,
00268     -0.5,  0.0,    0.5, -0.5,    0.0,  0.5,    0.0,  0.0,
00269      0.0,  0.0,    0.0, -0.5,    0.5,  0.5,   -0.5,  0.0,
00270      0.0, -0.5,    0.0,  0.0,    0.5,  0.0,   -0.5,  0.5,
00271     -0.25,-0.25,   0.25,-0.25,   0.25, 0.25,  -0.25, 0.25 
00272   };
00273   
00274   // CURL: each row gives the 8 correct values of the curls of the 4 basis functions
00275   double basisCurls[] = {
00276     -0.5,  0.5,    0.0, -0.5,    0.0,  0.0,    0.5,  0.0,
00277      0.0,  0.5,   -0.5, -0.5,    0.5,  0.0,    0.0,  0.0,
00278      0.0,  0.0,   -0.5,  0.0,    0.5, -0.5,    0.0,  0.5,
00279     -0.5,  0.0,    0.0,  0.0,    0.0, -0.5,    0.5,  0.5,    
00280     -0.25, 0.25,  -0.25,-0.25,   0.25,-0.25,   0.25, 0.25 
00281   };
00282   
00283   //D2: each row gives the 12 correct values of all 2nd derivatives of the 4 basis functions
00284   double basisD2[] = {
00285     0.0, 0.25, 0.0,   0.0,-0.25, 0.0,   0.0, 0.25, 0.0,   0.0,-0.25, 0.0,
00286     0.0, 0.25, 0.0,   0.0,-0.25, 0.0,   0.0, 0.25, 0.0,   0.0,-0.25, 0.0,
00287     0.0, 0.25, 0.0,   0.0,-0.25, 0.0,   0.0, 0.25, 0.0,   0.0,-0.25, 0.0,
00288     0.0, 0.25, 0.0,   0.0,-0.25, 0.0,   0.0, 0.25, 0.0,   0.0,-0.25, 0.0,
00289     0.0, 0.25, 0.0,   0.0,-0.25, 0.0,   0.0, 0.25, 0.0,   0.0,-0.25, 0.0,
00290   };
00291   
00292   try{
00293         
00294     // Dimensions for the output arrays:
00295     int numFields = quadBasis.getCardinality();
00296     int numPoints = quadNodes.dimension(0);
00297     int spaceDim  = quadBasis.getBaseCellTopology().getDimension();
00298     int D2Cardin  = Intrepid::getDkCardinality(OPERATOR_D2, spaceDim);
00299     
00300     // Generic array for values, grads, curls, etc. that will be properly sized before each call
00301     FieldContainer<double> vals;
00302     
00303     // Check VALUE of basis functions: resize vals to rank-2 container:
00304     vals.resize(numFields, numPoints);
00305     quadBasis.getValues(vals, quadNodes, OPERATOR_VALUE);
00306     for (int i = 0; i < numFields; i++) {
00307       for (int j = 0; j < numPoints; j++) {
00308           int l =  i + j * numFields;
00309            if (std::abs(vals(i,j) - basisValues[l]) > INTREPID_TOL) {
00310              errorFlag++;
00311              *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
00312 
00313              // Output the multi-index of the value where the error is:
00314              *outStream << " At multi-index { ";
00315              *outStream << i << " ";*outStream << j << " ";
00316              *outStream << "}  computed value: " << vals(i,j)
00317                << " but reference value: " << basisValues[l] << "\n";
00318          }
00319       }
00320     }
00321 
00322     // Check GRAD of basis function: resize vals to rank-3 container
00323     vals.resize(numFields, numPoints, spaceDim);
00324     quadBasis.getValues(vals, quadNodes, OPERATOR_GRAD);
00325     for (int i = 0; i < numFields; i++) {
00326       for (int j = 0; j < numPoints; j++) {
00327         for (int k = 0; k < spaceDim; k++) {
00328            int l = k + i * spaceDim + j * spaceDim * numFields;
00329            if (std::abs(vals(i,j,k) - basisGrads[l]) > INTREPID_TOL) {
00330              errorFlag++;
00331              *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
00332 
00333              // Output the multi-index of the value where the error is:
00334              *outStream << " At multi-index { ";
00335              *outStream << i << " ";*outStream << j << " ";*outStream << k << " ";
00336              *outStream << "}  computed grad component: " << vals(i,j,k)
00337                << " but reference grad component: " << basisGrads[l] << "\n";
00338             }
00339          }
00340       }
00341     }
00342 
00343     
00344     // Check D1 of basis function (do not resize vals because it has the correct size: D1 = GRAD)
00345     quadBasis.getValues(vals, quadNodes, OPERATOR_D1);
00346     for (int i = 0; i < numFields; i++) {
00347       for (int j = 0; j < numPoints; j++) {
00348         for (int k = 0; k < spaceDim; k++) {
00349            int l = k + i * spaceDim + j * spaceDim * numFields;
00350            if (std::abs(vals(i,j,k) - basisGrads[l]) > INTREPID_TOL) {
00351              errorFlag++;
00352              *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
00353 
00354              // Output the multi-index of the value where the error is:
00355              *outStream << " At multi-index { ";
00356              *outStream << i << " ";*outStream << j << " ";*outStream << k << " ";
00357              *outStream << "}  computed D1 component: " << vals(i,j,k)
00358                << " but reference D1 component: " << basisGrads[l] << "\n";
00359             }
00360          }
00361       }
00362     }
00363 
00364 
00365     // Check CURL of basis function: resize vals just for illustration! 
00366     vals.resize(numFields, numPoints, spaceDim);
00367     quadBasis.getValues(vals, quadNodes, OPERATOR_CURL);
00368     for (int i = 0; i < numFields; i++) {
00369       for (int j = 0; j < numPoints; j++) {
00370         for (int k = 0; k < spaceDim; k++) {
00371            int l = k + i * spaceDim + j * spaceDim * numFields;
00372            if (std::abs(vals(i,j,k) - basisCurls[l]) > INTREPID_TOL) {
00373              errorFlag++;
00374              *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
00375 
00376              // Output the multi-index of the value where the error is:
00377              *outStream << " At multi-index { ";
00378              *outStream << i << " ";*outStream << j << " ";*outStream << k << " ";
00379              *outStream << "}  computed curl component: " << vals(i,j,k)
00380                << " but reference curl component: " << basisCurls[l] << "\n";
00381             }
00382          }
00383       }
00384     }
00385     
00386     // Check D2 of basis function
00387     vals.resize(numFields, numPoints, D2Cardin);    
00388     quadBasis.getValues(vals, quadNodes, OPERATOR_D2);
00389     for (int i = 0; i < numFields; i++) {
00390       for (int j = 0; j < numPoints; j++) {
00391         for (int k = 0; k < D2Cardin; k++) {
00392            int l = k + i * D2Cardin + j * D2Cardin * numFields;
00393            if (std::abs(vals(i,j,k) - basisD2[l]) > INTREPID_TOL) {
00394              errorFlag++;
00395              *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
00396 
00397              // Output the multi-index of the value where the error is:
00398              *outStream << " At multi-index { ";
00399              *outStream << i << " ";*outStream << j << " ";*outStream << k << " ";
00400              *outStream << "}  computed D2 component: " << vals(i,j,k)
00401                << " but reference D2 component: " << basisD2[l] << "\n";
00402             }
00403          }
00404       }
00405     }
00406 
00407 
00408     // Check all higher derivatives - must be zero. 
00409     for(EOperator op = OPERATOR_D3; op < OPERATOR_MAX; op++) {
00410       
00411       // The last dimension is the number of kth derivatives and needs to be resized for every Dk
00412       int DkCardin  = Intrepid::getDkCardinality(op, spaceDim);
00413       vals.resize(numFields, numPoints, DkCardin);    
00414 
00415       quadBasis.getValues(vals, quadNodes, op);
00416       for (int i = 0; i < vals.size(); i++) {
00417         if (std::abs(vals[i]) > INTREPID_TOL) {
00418           errorFlag++;
00419           *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
00420           
00421           // Get the multi-index of the value where the error is and the operator order
00422           std::vector<int> myIndex;
00423           vals.getMultiIndex(myIndex,i);
00424           int ord = Intrepid::getOperatorOrder(op);
00425           *outStream << " At multi-index { ";
00426           for(int j = 0; j < vals.rank(); j++) {
00427             *outStream << myIndex[j] << " ";
00428           }
00429           *outStream << "}  computed D"<< ord <<" component: " << vals[i] 
00430             << " but reference D" << ord << " component:  0 \n";
00431         }
00432       }
00433     }    
00434   }
00435   // Catch unexpected errors
00436   catch (std::logic_error err) {
00437     *outStream << err.what() << "\n\n";
00438     errorFlag = -1000;
00439   };
00440 
00441 
00442   *outStream \
00443     << "\n"
00444     << "===============================================================================\n"\
00445     << "| TEST 4: correctness of DoF locations                                        |\n"\
00446     << "===============================================================================\n";
00447 
00448   try{
00449     Teuchos::RCP<Basis<double, FieldContainer<double> > > basis =
00450       Teuchos::rcp(new Basis_HGRAD_QUAD_C1_FEM<double, FieldContainer<double> >);
00451     Teuchos::RCP<DofCoordsInterface<FieldContainer<double> > > coord_iface =
00452       Teuchos::rcp_dynamic_cast<DofCoordsInterface<FieldContainer<double> > >(basis);
00453 
00454     FieldContainer<double> cvals;
00455     FieldContainer<double> bvals(basis->getCardinality(), basis->getCardinality());
00456 
00457     // Check exceptions.
00458 #ifdef HAVE_INTREPID_DEBUG
00459     cvals.resize(1,2,3);
00460     INTREPID_TEST_COMMAND( coord_iface->getDofCoords(cvals), throwCounter, nException );
00461     cvals.resize(3,2);
00462     INTREPID_TEST_COMMAND( coord_iface->getDofCoords(cvals), throwCounter, nException );
00463     cvals.resize(4,3);
00464     INTREPID_TEST_COMMAND( coord_iface->getDofCoords(cvals), throwCounter, nException );
00465 #endif
00466     cvals.resize(4,2);
00467     INTREPID_TEST_COMMAND( coord_iface->getDofCoords(cvals), throwCounter, nException ); nException--;
00468     // Check if number of thrown exceptions matches the one we expect
00469     if (throwCounter != nException) {
00470       errorFlag++;
00471       *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
00472     }
00473 
00474     // Check mathematical correctness.
00475     basis->getValues(bvals, cvals, OPERATOR_VALUE);
00476     char buffer[120];
00477     for (int i=0; i<bvals.dimension(0); i++) {
00478       for (int j=0; j<bvals.dimension(1); j++) {
00479         if ((i != j) && (std::abs(bvals(i,j) - 0.0) > INTREPID_TOL)) {
00480           errorFlag++;
00481           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);
00482           *outStream << buffer;
00483         }
00484         else if ((i == j) && (std::abs(bvals(i,j) - 1.0) > INTREPID_TOL)) {
00485           errorFlag++;
00486           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);
00487           *outStream << buffer;
00488         }
00489       }
00490     }
00491 
00492   }
00493   catch (std::logic_error err){
00494     *outStream << err.what() << "\n\n";
00495     errorFlag = -1000;
00496   };
00497 
00498   if (errorFlag != 0)
00499     std::cout << "End Result: TEST FAILED\n";
00500   else
00501     std::cout << "End Result: TEST PASSED\n";
00502   
00503   // reset format state of std::cout
00504   std::cout.copyfmt(oldFormatState);
00505   
00506   return errorFlag;
00507 }