Intrepid
/usr/src/RPM/BUILD/trilinos-11.12.1/packages/intrepid/test/Discretization/Basis/HGRAD_PYR_I2_FEM/test_01.cpp
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00003 //
00004 //                           Intrepid Package
00005 //                 Copyright (2007) Sandia Corporation
00006 //
00007 // Under terms of Contract DE-AC04-94AL85000, there is a non-exclusive
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00011 // modification, are permitted provided that the following conditions are
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00013 //
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00015 // notice, this list of conditions and the following disclaimer.
00016 //
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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00033 // LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
00034 // NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
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_PYR_I2_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_PYR_I2_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_PYR_I2_FEM<double, FieldContainer<double> > pyrBasis;
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 13 nodes of the reference PYRAMID and some other points.
00117   FieldContainer<double> pyrNodes(18, 3);
00118   pyrNodes(0,0)  = -1.0;  pyrNodes(0,1)  = -1.0;  pyrNodes(0,2)  =  0;
00119   pyrNodes(1,0)  =  1.0;  pyrNodes(1,1)  = -1.0;  pyrNodes(1,2)  =  0;
00120   pyrNodes(2,0)  =  1.0;  pyrNodes(2,1)  =  1.0;  pyrNodes(2,2)  =  0;
00121   pyrNodes(3,0)  = -1.0;  pyrNodes(3,1)  =  1.0;  pyrNodes(3,2)  =  0;
00122   pyrNodes(4,0)  =  0.0;  pyrNodes(4,1)  =  0.0;  pyrNodes(4,2)  =  1.0;
00123   pyrNodes(5,0)  =  0.0;  pyrNodes(5,1)  = -1.0;  pyrNodes(5,2)  =  0.0;
00124   pyrNodes(6,0)  =  1.0;  pyrNodes(6,1)  =  0.0;  pyrNodes(6,2)  =  0.0;
00125   pyrNodes(7,0)  =  0.0;  pyrNodes(7,1)  =  1.0;  pyrNodes(7,2)  =  0.0;
00126   pyrNodes(8,0)  = -1.0;  pyrNodes(8,1)  =  0.0;  pyrNodes(8,2)  =  0.0;
00127   pyrNodes(9,0)  = -0.5;  pyrNodes(9,1)  = -0.5;  pyrNodes(9,2)  =  0.5;
00128   pyrNodes(10,0) =  0.5;  pyrNodes(10,1) = -0.5;  pyrNodes(10,2) =  0.5;
00129   pyrNodes(11,0) =  0.5;  pyrNodes(11,1) =  0.5;  pyrNodes(11,2) =  0.5;
00130   pyrNodes(12,0) = -0.5;  pyrNodes(12,1) =  0.5;  pyrNodes(12,2) =  0.5;
00131 
00132   pyrNodes(13,0) =  0.25; pyrNodes(13,1) =  0.5;  pyrNodes(13,2) = 0.2;
00133   pyrNodes(14,0) = -0.7 ; pyrNodes(14,1) =  0.3;  pyrNodes(14,2) = 0.3;
00134   pyrNodes(15,0) =  0.;   pyrNodes(15,1) = -0.05; pyrNodes(15,2) = 0.95;
00135   pyrNodes(16,0) = -0.15; pyrNodes(16,1) = -0.2;  pyrNodes(16,2) = 0.75;
00136   pyrNodes(17,0) = -0.4;  pyrNodes(17,1) =  0.9;  pyrNodes(17,2) = 0.0;
00137 
00138 
00139   // Generic array for the output values; needs to be properly resized depending on the operator type
00140   FieldContainer<double> vals;
00141 
00142   try{
00143     // exception #1: CURL cannot be applied to scalar functions
00144     // resize vals to rank-3 container with dimensions (num. points, num. basis functions)
00145     vals.resize(pyrBasis.getCardinality(), pyrNodes.dimension(0), 3 );
00146     INTREPID_TEST_COMMAND( pyrBasis.getValues(vals, pyrNodes, OPERATOR_CURL), throwCounter, nException );
00147 
00148     // exception #2: DIV cannot be applied to scalar functions
00149     // resize vals to rank-2 container with dimensions (num. points, num. basis functions)
00150     vals.resize(pyrBasis.getCardinality(), pyrNodes.dimension(0) );
00151     INTREPID_TEST_COMMAND( pyrBasis.getValues(vals, pyrNodes, OPERATOR_DIV), throwCounter, nException );
00152         
00153     // Exceptions 3-7: all bf tags/bf Ids below are wrong and should cause getDofOrdinal() and 
00154     // getDofTag() to access invalid array elements thereby causing bounds check exception
00155     // exception #3
00156     INTREPID_TEST_COMMAND( pyrBasis.getDofOrdinal(3,0,0), throwCounter, nException );
00157     // exception #4
00158     INTREPID_TEST_COMMAND( pyrBasis.getDofOrdinal(1,1,1), throwCounter, nException );
00159     // exception #5
00160     INTREPID_TEST_COMMAND( pyrBasis.getDofOrdinal(0,6,0), throwCounter, nException );
00161     // exception #6
00162     INTREPID_TEST_COMMAND( pyrBasis.getDofTag(14), throwCounter, nException );
00163     // exception #7
00164     INTREPID_TEST_COMMAND( pyrBasis.getDofTag(-1), throwCounter, nException );
00165     
00166 #ifdef HAVE_INTREPID_DEBUG
00167     // Exceptions 8-18 test exception handling with incorrectly dimensioned input/output arrays
00168     // exception #8: input points array must be of rank-2
00169     FieldContainer<double> badPoints1(4, 5, 3);
00170     INTREPID_TEST_COMMAND( pyrBasis.getValues(vals, badPoints1, OPERATOR_VALUE), throwCounter, nException );
00171     
00172     // exception #9 dimension 1 in the input point array must equal space dimension of the cell
00173     FieldContainer<double> badPoints2(4, 2);
00174     INTREPID_TEST_COMMAND( pyrBasis.getValues(vals, badPoints2, OPERATOR_VALUE), throwCounter, nException );
00175     
00176     // exception #10 output values must be of rank-2 for OPERATOR_VALUE
00177     FieldContainer<double> badVals1(4, 3, 1);
00178     INTREPID_TEST_COMMAND( pyrBasis.getValues(badVals1, pyrNodes, OPERATOR_VALUE), throwCounter, nException );
00179     
00180     // exception #11 output values must be of rank-3 for OPERATOR_GRAD
00181     FieldContainer<double> badVals2(4, 3);
00182     INTREPID_TEST_COMMAND( pyrBasis.getValues(badVals2, pyrNodes, OPERATOR_GRAD), throwCounter, nException );
00183     
00184     // exception #12 output values must be of rank-3 for OPERATOR_D1
00185     INTREPID_TEST_COMMAND( pyrBasis.getValues(badVals2, pyrNodes, OPERATOR_D1), throwCounter, nException );
00186     
00187     // exception #13 output values must be of rank-3 for OPERATOR_D2
00188     //INTREPID_TEST_COMMAND( pyrBasis.getValues(badVals2, pyrNodes, OPERATOR_D2), throwCounter, nException );
00189     
00190     // exception #14 incorrect 0th dimension of output array (must equal number of basis functions)
00191     FieldContainer<double> badVals3(pyrBasis.getCardinality() + 1, pyrNodes.dimension(0));
00192     INTREPID_TEST_COMMAND( pyrBasis.getValues(badVals3, pyrNodes, OPERATOR_VALUE), throwCounter, nException );
00193     
00194     // exception #15 incorrect 1st dimension of output array (must equal number of points)
00195     FieldContainer<double> badVals4(pyrBasis.getCardinality(), pyrNodes.dimension(0) + 1);
00196     INTREPID_TEST_COMMAND( pyrBasis.getValues(badVals4, pyrNodes, OPERATOR_VALUE), throwCounter, nException );
00197     
00198     // exception #16: incorrect 2nd dimension of output array (must equal the space dimension)
00199     FieldContainer<double> badVals5(pyrBasis.getCardinality(), pyrNodes.dimension(0), 4);
00200     INTREPID_TEST_COMMAND( pyrBasis.getValues(badVals5, pyrNodes, OPERATOR_GRAD), throwCounter, nException );
00201     
00202     // exception #17: incorrect 2nd dimension of output array (must equal D2 cardinality in 3D)
00203     //FieldContainer<double> badVals6(pyrBasis.getCardinality(), pyrNodes.dimension(0), 40);
00204     //INTREPID_TEST_COMMAND( pyrBasis.getValues(badVals6, pyrNodes, OPERATOR_D2), throwCounter, nException );
00205     
00206     // exception #18: incorrect 2nd dimension of output array (must equal D3 cardinality in 3D)
00207     //INTREPID_TEST_COMMAND( pyrBasis.getValues(badVals6, pyrNodes, OPERATOR_D3), throwCounter, nException );
00208 #endif
00209 
00210   }
00211   catch (std::logic_error err) {
00212     *outStream << "UNEXPECTED ERROR !!! ----------------------------------------------------------\n";
00213     *outStream << err.what() << '\n';
00214     *outStream << "-------------------------------------------------------------------------------" << "\n\n";
00215     errorFlag = -1000;
00216   };
00217   
00218   // Check if number of thrown exceptions matches the one we expect - 18
00219   if (throwCounter != nException) {
00220     errorFlag++;
00221     *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
00222   }
00223   
00224   *outStream \
00225     << "\n"
00226     << "===============================================================================\n"\
00227     << "| TEST 2: correctness of tag to enum and enum to tag lookups                  |\n"\
00228     << "===============================================================================\n";
00229   
00230   try{
00231     std::vector<std::vector<int> > allTags = pyrBasis.getAllDofTags();
00232     
00233     // Loop over all tags, lookup the associated dof enumeration and then lookup the tag again
00234     for (unsigned i = 0; i < allTags.size(); i++) {
00235       int bfOrd  = pyrBasis.getDofOrdinal(allTags[i][0], allTags[i][1], allTags[i][2]);
00236       
00237       std::vector<int> myTag = pyrBasis.getDofTag(bfOrd);
00238        if( !( (myTag[0] == allTags[i][0]) &&
00239               (myTag[1] == allTags[i][1]) &&
00240               (myTag[2] == allTags[i][2]) &&
00241               (myTag[3] == allTags[i][3]) ) ) {
00242         errorFlag++;
00243         *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
00244         *outStream << " getDofOrdinal( {" 
00245           << allTags[i][0] << ", " 
00246           << allTags[i][1] << ", " 
00247           << allTags[i][2] << ", " 
00248           << allTags[i][3] << "}) = " << bfOrd <<" but \n";   
00249         *outStream << " getDofTag(" << bfOrd << ") = { "
00250           << myTag[0] << ", " 
00251           << myTag[1] << ", " 
00252           << myTag[2] << ", " 
00253           << myTag[3] << "}\n";        
00254       }
00255     }
00256     
00257     // Now do the same but loop over basis functions
00258     for( int bfOrd = 0; bfOrd < pyrBasis.getCardinality(); bfOrd++) {
00259       std::vector<int> myTag  = pyrBasis.getDofTag(bfOrd);
00260       int myBfOrd = pyrBasis.getDofOrdinal(myTag[0], myTag[1], myTag[2]);
00261       if( bfOrd != myBfOrd) {
00262         errorFlag++;
00263         *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
00264         *outStream << " getDofTag(" << bfOrd << ") = { "
00265           << myTag[0] << ", " 
00266           << myTag[1] << ", " 
00267           << myTag[2] << ", " 
00268           << myTag[3] << "} but getDofOrdinal({" 
00269           << myTag[0] << ", " 
00270           << myTag[1] << ", " 
00271           << myTag[2] << ", " 
00272           << myTag[3] << "} ) = " << myBfOrd << "\n";
00273       }
00274     }
00275   }
00276   catch (std::logic_error err){
00277     *outStream << err.what() << "\n\n";
00278     errorFlag = -1000;
00279   };
00280   
00281   *outStream \
00282     << "\n"
00283     << "===============================================================================\n"\
00284     << "| TEST 3: correctness of basis function values                                |\n"\
00285     << "===============================================================================\n";
00286   
00287   outStream -> precision(20);
00288   
00289  // VAL, GRAD, D2 test values are stored in files due to their large size
00290   std::string     fileName;
00291   std::ifstream   dataFile;
00292 
00293  // Values are stored in (F,P) format in a data file. Read file and do the test
00294   std::vector<double> basisValues;           // Flat array for the basis values.
00295   fileName = "./testdata/PYR_I2_Vals.dat";
00296   dataFile.open(fileName.c_str());
00297   TEUCHOS_TEST_FOR_EXCEPTION( !dataFile.good(), std::logic_error,
00298                       ">>> ERROR (HGRAD_PYR_I2/test01): could not open basis values data file, test aborted.");
00299   while (!dataFile.eof() ){
00300     double temp;
00301     string line;                            // string for one line of input file
00302     std::getline(dataFile, line);           // get next line from file
00303     stringstream data_line(line);           // convert to stringstream
00304     while(data_line >> temp){               // extract value from line
00305       basisValues.push_back(temp);           // push into vector
00306     }
00307   }
00308   // It turns out that just closing and then opening the ifstream variable does not reset it
00309   // and subsequent open() command fails. One fix is to explicitely clear the ifstream, or
00310   // scope the variables.
00311   dataFile.close();
00312   dataFile.clear();
00313 
00314 
00315  // GRAD and D1 values are stored in (F,P,D) format in a data file. Read file and do the test
00316   std::vector<double> basisGrads;           // Flat array for the gradient values.
00317   fileName = "./testdata/PYR_I2_GradVals.dat";
00318   dataFile.open(fileName.c_str());
00319   TEUCHOS_TEST_FOR_EXCEPTION( !dataFile.good(), std::logic_error,
00320                       ">>> ERROR (HGRAD_PYR_I2/test01): could not open GRAD values data file, test aborted.");
00321   while (!dataFile.eof() ){
00322     double temp;
00323     string line;                            // string for one line of input file
00324     std::getline(dataFile, line);           // get next line from file
00325     stringstream data_line(line);           // convert to stringstream
00326     while(data_line >> temp){               // extract value from line
00327       basisGrads.push_back(temp);           // push into vector
00328     }
00329   }
00330   // It turns out that just closing and then opening the ifstream variable does not reset it
00331   // and subsequent open() command fails. One fix is to explicitely clear the ifstream, or
00332   // scope the variables.
00333   dataFile.close();
00334   dataFile.clear();
00335 
00336  //D2: flat array with the values of D2 applied to basis functions. Multi-index is (F,P,D2cardinality)
00337   std::vector<double> basisD2;
00338 
00339   fileName = "./testdata/PYR_I2_D2Vals.dat";
00340   dataFile.open(fileName.c_str());
00341   TEUCHOS_TEST_FOR_EXCEPTION( !dataFile.good(), std::logic_error,
00342                       ">>> ERROR (HGRAD_PYR_I2/test01): could not open D2 values data file, test aborted.");
00343 
00344   while (!dataFile.eof() ){
00345     double temp;
00346     string line;                            // string for one line of input file
00347     std::getline(dataFile, line);           // get next line from file
00348     stringstream data_line(line);           // convert to stringstream
00349     while(data_line >> temp){               // extract value from line
00350       basisD2.push_back(temp);              // push into vector
00351     }
00352   }
00353   dataFile.close();
00354   dataFile.clear();
00355 
00356   try{
00357         
00358     // Dimensions for the output arrays:
00359     int numFields = pyrBasis.getCardinality();
00360     int numPoints = pyrNodes.dimension(0);
00361     int spaceDim  = pyrBasis.getBaseCellTopology().getDimension();
00362     int D2Cardin  = Intrepid::getDkCardinality(OPERATOR_D2, spaceDim);
00363     
00364     // Generic array for values, grads, curls, etc. that will be properly sized before each call
00365     FieldContainer<double> vals;
00366     
00367     // Check VALUE of basis functions: resize vals to rank-2 container:
00368     vals.resize(numFields, numPoints);
00369     pyrBasis.getValues(vals, pyrNodes, OPERATOR_VALUE);
00370     for (int i = 0; i < numFields; i++) {
00371       for (int j = 0; j < numPoints; j++) {
00372           int l =  j + i * numPoints;
00373 
00374            if (std::abs(vals(i,j) - basisValues[l]) > 100.*INTREPID_TOL) {
00375              errorFlag++;
00376              *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
00377 
00378              // Output the multi-index of the value where the error is:
00379              *outStream << " At multi-index { ";
00380              *outStream << i << " ";*outStream << j << " ";
00381              *outStream << "}  computed value: " << vals(i,j)
00382                << " but reference value: " << basisValues[l] << "\n";
00383 
00384          }
00385       }
00386     }
00387 
00388 
00389     // Check GRAD of basis function: resize vals to rank-3 container
00390     vals.resize(numFields, numPoints, spaceDim);
00391     pyrBasis.getValues(vals, pyrNodes, OPERATOR_GRAD);
00392     for (int i = 0; i < numFields; i++) {
00393       for (int j = 0; j < numPoints; j++) {
00394         for (int k = 0; k < spaceDim; k++) {
00395            //int l = k + h * spaceDim + j * spaceDim * numFields;
00396            int l = i + j * numFields + k * numFields * numPoints;
00397 
00398            if (std::abs(vals(i,j,k) - basisGrads[l]) > 100.*INTREPID_TOL) {
00399              errorFlag++;
00400              *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
00401 
00402              // Output the multi-index of the value where the error is:
00403              *outStream << " At multi-index { ";
00404              *outStream << i << " ";*outStream << j << " ";*outStream << k << " ";
00405              *outStream << "}  computed grad component: " << vals(i,j,k)
00406               << " but reference grad component: " << basisGrads[l] << "\n";
00407 
00408             }
00409 
00410          }
00411       }
00412     }
00413 
00414     // Check D1 of basis function (do not resize vals because it has the correct size: D1 = GRAD)
00415     pyrBasis.getValues(vals, pyrNodes, OPERATOR_D1);
00416     for (int i = 0; i < numFields; i++) {
00417       for (int j = 0; j < numPoints; j++) {
00418         for (int k = 0; k < spaceDim; k++) {
00419            int l = i + j * numFields + k * numFields * numPoints;
00420 
00421            if (std::abs(vals(i,j,k) - basisGrads[l]) > 100.*INTREPID_TOL) {
00422              errorFlag++;
00423              *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
00424 
00425              // Output the multi-index of the value where the error is:
00426              *outStream << " At multi-index { ";
00427              *outStream << i << " ";*outStream << j << " ";*outStream << k << " ";
00428              *outStream << "}  computed D1 component: " << vals(i,j,k)
00429                << " but reference D1 component: " << basisGrads[l] << "\n";
00430             }
00431  
00432          }
00433       }
00434     }
00435 
00436 
00437     // Check D2 of basis function
00438     vals.resize(numFields, numPoints, D2Cardin);    
00439     pyrBasis.getValues(vals, pyrNodes, OPERATOR_D2);
00440    //int l=0;
00441     for (int i = 0; i < numFields; i++) {
00442       for (int j = 0; j < numPoints; j++) {
00443           if(j == 4) continue; //derivatives are singular when z = 1.
00444         for (int k = 0; k < D2Cardin; k++) {
00445           // int l = k + i * D2Cardin + j * D2Cardin * numFields;
00446            int l = i + j * numFields + k * numFields * numPoints;
00447            //int l = k + j * D2Cardin + i * D2Cardin * numPoints;
00448 
00449 
00450            if (std::abs(vals(i,j,k) - basisD2[l]) > 100.*INTREPID_TOL) {
00451              errorFlag++;
00452              *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
00453 
00454              // Output the multi-index of the value where the error is:
00455              *outStream << " At multi-index { ";
00456              *outStream << i << " ";*outStream << j << " ";*outStream << k << " ";
00457              *outStream << "}  computed D2 component: " << vals(i,j,k)
00458                << " but reference D2 component: " << basisD2[l] << "\n";
00459             }
00460 
00461     //       l++;
00462 
00463           //  *outStream << vals(i,j,k) << "\n";
00464 
00465 
00466          }
00467       }
00468     }
00469   }
00470   
00471 
00472   // Catch unexpected errors
00473   catch (std::logic_error err) {
00474     *outStream << err.what() << "\n\n";
00475     errorFlag = -1000;
00476   };
00477   
00478   if (errorFlag != 0)
00479     std::cout << "End Result: TEST FAILED\n";
00480   else
00481     std::cout << "End Result: TEST PASSED\n";
00482   
00483   // reset format state of std::cout
00484   std::cout.copyfmt(oldFormatState);
00485   
00486   return errorFlag;
00487 }