Intrepid
/usr/src/RPM/BUILD/trilinos-11.12.1/packages/intrepid/test/Discretization/Basis/HGRAD_HEX_I2_FEM/test_01.cpp
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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 // Redistribution and use in source and binary forms, with or without
00011 // modification, are permitted provided that the following conditions are
00012 // met:
00013 //
00014 // 1. Redistributions of source code must retain the above copyright
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,
00030 // EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
00031 // PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
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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_HEX_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_HEX_I2_FEM)                          |\n" \
00093     << "|                                                                             |\n" \
00094     << "|     1) Conversion of Dof tags into Dof ordinals and back                    |\n" \
00095     << "|     2) Basis values for VALUE, GRAD, 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_HEX_I2_FEM<double, FieldContainer<double> > hexBasis;
00110   int errorFlag = 0;
00111 
00112   // Initialize throw counter for exception testing
00113   int nException     = 0;
00114   int throwCounter   = 0;
00115 
00116   // Define arrayS containing the 20 nodes of hexahedron<20> topology
00117   FieldContainer<double> hexNodes(20, 3);
00118   // vertices
00119   hexNodes(0, 0) = -1.0;  hexNodes(0, 1) = -1.0;  hexNodes(0, 2) = -1.0;
00120   hexNodes(1, 0) =  1.0;  hexNodes(1, 1) = -1.0;  hexNodes(1, 2) = -1.0;
00121   hexNodes(2, 0) =  1.0;  hexNodes(2, 1) =  1.0;  hexNodes(2, 2) = -1.0;
00122   hexNodes(3, 0) = -1.0;  hexNodes(3, 1) =  1.0;  hexNodes(3, 2) = -1.0;
00123   
00124   hexNodes(4, 0) = -1.0;  hexNodes(4, 1) = -1.0;  hexNodes(4, 2) =  1.0;
00125   hexNodes(5, 0) =  1.0;  hexNodes(5, 1) = -1.0;  hexNodes(5, 2) =  1.0;
00126   hexNodes(6, 0) =  1.0;  hexNodes(6, 1) =  1.0;  hexNodes(6, 2) =  1.0;
00127   hexNodes(7, 0) = -1.0;  hexNodes(7, 1) =  1.0;  hexNodes(7, 2) =  1.0;  
00128   
00129   // nodes on edges
00130   hexNodes(8, 0) =  0.0;   hexNodes(8, 1) = -1.0;  hexNodes(8, 2) = -1.0;
00131   hexNodes(9, 0) =  1.0;   hexNodes(9, 1) =  0.0;  hexNodes(9, 2) = -1.0;
00132   hexNodes(10,0) =  0.0;   hexNodes(10,1) =  1.0;  hexNodes(10,2) = -1.0;
00133   hexNodes(11,0) = -1.0;   hexNodes(11,1) =  0.0;  hexNodes(11,2) = -1.0;
00134   hexNodes(12,0) = -1.0;   hexNodes(12,1) = -1.0;  hexNodes(12,2) =  0.0;
00135   hexNodes(13,0) =  1.0;   hexNodes(13,1) = -1.0;  hexNodes(13,2) =  0.0;
00136   hexNodes(14,0) =  1.0;   hexNodes(14,1) =  1.0;  hexNodes(14,2) =  0.0;
00137   hexNodes(15,0) = -1.0;   hexNodes(15,1) =  1.0;  hexNodes(15,2) =  0.0;
00138   hexNodes(16,0) =  0.0;   hexNodes(16,1) = -1.0;  hexNodes(16,2) =  1.0;
00139   hexNodes(17,0) =  1.0;   hexNodes(17,1) =  0.0;  hexNodes(17,2) =  1.0;
00140   hexNodes(18,0) =  0.0;   hexNodes(18,1) =  1.0;  hexNodes(18,2) =  1.0;
00141   hexNodes(19,0) = -1.0;   hexNodes(19,1) =  0.0;  hexNodes(19,2) =  1.0;
00142  
00143   // Generic array for the output values; needs to be properly resized depending on the operator type
00144   FieldContainer<double> vals;
00145 
00146   try{
00147     // exception #1: CURL cannot be applied to scalar functions in 3D
00148     // resize vals to rank-3 container with dimensions (num. basis functions, num. points, arbitrary)
00149     vals.resize(hexBasis.getCardinality(), hexNodes.dimension(0), 4 );
00150     INTREPID_TEST_COMMAND( hexBasis.getValues(vals, hexNodes, OPERATOR_CURL), throwCounter, nException );
00151 
00152     // exception #2: DIV cannot be applied to scalar functions in 3D
00153     // resize vals to rank-2 container with dimensions (num. basis functions, num. points)
00154     vals.resize(hexBasis.getCardinality(), hexNodes.dimension(0) );
00155     INTREPID_TEST_COMMAND( hexBasis.getValues(vals, hexNodes, OPERATOR_DIV), throwCounter, nException );
00156         
00157     // Exceptions 3-7: all bf tags/bf Ids below are wrong and should cause getDofOrdinal() and 
00158     // getDofTag() to access invalid array elements thereby causing bounds check exception
00159     // exception #3
00160     INTREPID_TEST_COMMAND( hexBasis.getDofOrdinal(3,10,0), throwCounter, nException );    
00161     // exception #4
00162     INTREPID_TEST_COMMAND( hexBasis.getDofOrdinal(1,2,1), throwCounter, nException );
00163     // exception #5
00164     INTREPID_TEST_COMMAND( hexBasis.getDofOrdinal(0,4,1), throwCounter, nException );
00165     // exception #6
00166     INTREPID_TEST_COMMAND( hexBasis.getDofTag(21), throwCounter, nException );
00167     // exception #7
00168     INTREPID_TEST_COMMAND( hexBasis.getDofTag(-1), throwCounter, nException );
00169 
00170 #ifdef HAVE_INTREPID_DEBUG 
00171     // Exceptions 8-18 test exception handling with incorrectly dimensioned input/output arrays
00172     // exception #8: input points array must be of rank-2
00173     FieldContainer<double> badPoints1(4, 5, 3);
00174     INTREPID_TEST_COMMAND( hexBasis.getValues(vals, badPoints1, OPERATOR_VALUE), throwCounter, nException );
00175 
00176     // exception #9 dimension 1 in the input point array must equal space dimension of the cell
00177     FieldContainer<double> badPoints2(4, hexBasis.getBaseCellTopology().getDimension() - 1);
00178     INTREPID_TEST_COMMAND( hexBasis.getValues(vals, badPoints2, OPERATOR_VALUE), throwCounter, nException );
00179 
00180     // exception #10 output values must be of rank-2 for OPERATOR_VALUE
00181     FieldContainer<double> badVals1(4, 3, 1);
00182     INTREPID_TEST_COMMAND( hexBasis.getValues(badVals1, hexNodes, OPERATOR_VALUE), throwCounter, nException );
00183  
00184     // exception #11 output values must be of rank-3 for OPERATOR_GRAD
00185     FieldContainer<double> badVals2(4, 3);
00186     INTREPID_TEST_COMMAND( hexBasis.getValues(badVals2, hexNodes, OPERATOR_GRAD), throwCounter, nException );
00187     
00188     // exception #12 output values must be of rank-3 for OPERATOR_D1
00189     INTREPID_TEST_COMMAND( hexBasis.getValues(badVals2, hexNodes, OPERATOR_D1), throwCounter, nException );
00190     
00191     // exception #13 output values must be of rank-3 for OPERATOR_D2
00192     INTREPID_TEST_COMMAND( hexBasis.getValues(badVals2, hexNodes, OPERATOR_D2), throwCounter, nException );
00193     
00194     // exception #14 incorrect 0th dimension of output array (must equal number of basis functions)
00195     FieldContainer<double> badVals3(hexBasis.getCardinality() + 1, hexNodes.dimension(0));
00196     INTREPID_TEST_COMMAND( hexBasis.getValues(badVals3, hexNodes, OPERATOR_VALUE), throwCounter, nException );
00197     
00198     // exception #15 incorrect 1st dimension of output array (must equal number of points)
00199     FieldContainer<double> badVals4(hexBasis.getCardinality(), hexNodes.dimension(0) + 1);
00200     INTREPID_TEST_COMMAND( hexBasis.getValues(badVals4, hexNodes, OPERATOR_VALUE), throwCounter, nException );
00201     
00202     // exception #16: incorrect 2nd dimension of output array (must equal the space dimension)
00203     FieldContainer<double> badVals5(hexBasis.getCardinality(), hexNodes.dimension(0), hexBasis.getBaseCellTopology().getDimension() - 1);
00204     INTREPID_TEST_COMMAND( hexBasis.getValues(badVals5, hexNodes, OPERATOR_GRAD), throwCounter, nException );
00205     
00206     // exception #17: incorrect 2nd dimension of output array (must equal D2 cardinality in 3D)
00207     FieldContainer<double> badVals6(hexBasis.getCardinality(), hexNodes.dimension(0), 40);
00208     INTREPID_TEST_COMMAND( hexBasis.getValues(badVals6, hexNodes, OPERATOR_D2), throwCounter, nException );
00209     
00210     // exception #18: incorrect 2nd dimension of output array (must equal D3 cardinality in 3D)
00211     FieldContainer<double> badVals7(hexBasis.getCardinality(), hexNodes.dimension(0), 50);
00212     INTREPID_TEST_COMMAND( hexBasis.getValues(badVals7, hexNodes, OPERATOR_D3), throwCounter, nException );
00213 #endif
00214 
00215   }
00216   catch (std::logic_error err) {
00217     *outStream << "UNEXPECTED ERROR !!! ----------------------------------------------------------\n";
00218     *outStream << err.what() << '\n';
00219     *outStream << "-------------------------------------------------------------------------------" << "\n\n";
00220     errorFlag = -1000;
00221   };
00222   
00223   // Check if number of thrown exceptions matches the one we expect 
00224   // Note Teuchos throw number will not pick up exceptions 3-7 and therefore will not match.
00225   if (throwCounter != nException) {
00226     errorFlag++;
00227     *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
00228   }
00229   
00230   *outStream \
00231     << "\n"
00232     << "===============================================================================\n"\
00233     << "| TEST 2: correctness of tag to enum and enum to tag lookups                  |\n"\
00234     << "===============================================================================\n";
00235   
00236   try{
00237     std::vector<std::vector<int> > allTags = hexBasis.getAllDofTags();
00238     
00239     // Loop over all tags, lookup the associated dof enumeration and then lookup the tag again
00240     for (unsigned i = 0; i < allTags.size(); i++) {
00241       int bfOrd  = hexBasis.getDofOrdinal(allTags[i][0], allTags[i][1], allTags[i][2]);
00242       
00243       std::vector<int> myTag = hexBasis.getDofTag(bfOrd);
00244        if( !( (myTag[0] == allTags[i][0]) &&
00245               (myTag[1] == allTags[i][1]) &&
00246               (myTag[2] == allTags[i][2]) &&
00247               (myTag[3] == allTags[i][3]) ) ) {
00248         errorFlag++;
00249         *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
00250         *outStream << " getDofOrdinal( {" 
00251           << allTags[i][0] << ", " 
00252           << allTags[i][1] << ", " 
00253           << allTags[i][2] << ", " 
00254           << allTags[i][3] << "}) = " << bfOrd <<" but \n";   
00255         *outStream << " getDofTag(" << bfOrd << ") = { "
00256           << myTag[0] << ", " 
00257           << myTag[1] << ", " 
00258           << myTag[2] << ", " 
00259           << myTag[3] << "}\n";        
00260       }
00261     }
00262     
00263     // Now do the same but loop over basis functions
00264     for( int bfOrd = 0; bfOrd < hexBasis.getCardinality(); bfOrd++) {
00265       std::vector<int> myTag  = hexBasis.getDofTag(bfOrd);
00266       int myBfOrd = hexBasis.getDofOrdinal(myTag[0], myTag[1], myTag[2]);
00267       if( bfOrd != myBfOrd) {
00268         errorFlag++;
00269         *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
00270         *outStream << " getDofTag(" << bfOrd << ") = { "
00271           << myTag[0] << ", " 
00272           << myTag[1] << ", " 
00273           << myTag[2] << ", " 
00274           << myTag[3] << "} but getDofOrdinal({" 
00275           << myTag[0] << ", " 
00276           << myTag[1] << ", " 
00277           << myTag[2] << ", " 
00278           << myTag[3] << "} ) = " << myBfOrd << "\n";
00279       }
00280     }
00281   }
00282   catch (std::logic_error err){
00283     *outStream << err.what() << "\n\n";
00284     errorFlag = -1000;
00285   };
00286   
00287   
00288   *outStream \
00289     << "\n"
00290     << "===============================================================================\n"\
00291     << "| TEST 3: correctness of basis function values                                |\n"\
00292     << "===============================================================================\n";
00293   
00294   outStream -> precision(20);
00295   
00296   // VALUE: Each row gives the 8 correct basis set values at an evaluation point
00297   double basisValues[] = {
00298     1.0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
00299     0, 1.0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
00300     0, 0, 1.0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
00301     0, 0, 0, 1.0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
00302     0, 0, 0, 0, 1.0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
00303     0, 0, 0, 0, 0, 1.0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
00304     0, 0, 0, 0, 0, 0, 1.0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
00305     0, 0, 0, 0, 0, 0, 0, 1.0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
00306     0, 0, 0, 0, 0, 0, 0, 0, 1.0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
00307     0, 0, 0, 0, 0, 0, 0, 0, 0, 1.0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
00308     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
00309     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.0, 0, 0, 0, 0, 0, 0, 0, 0, \
00310     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.0, 0, 0, 0, 0, 0, 0, 0, \
00311     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.0, 0, 0, 0, 0, 0, 0, \
00312     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.0, 0, 0, 0, 0, 0, \
00313     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.0, 0, 0, 0, 0, \
00314     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.0, 0, 0, 0, \
00315     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.0, 0, 0, \
00316     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.0, 0, \
00317     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.0 };
00318   
00319   
00320   // GRAD, D1, D2, D3 test values are stored in files due to their large size
00321   std::string     fileName;
00322   std::ifstream   dataFile;
00323 
00324 
00325   // GRAD and D1 values are stored in (F,P,D) format in a data file. Read file and do the test
00326   std::vector<double> basisGrads;           // Flat array for the gradient values.
00327   
00328   fileName = "./testdata/HEX_I2_GradVals.dat";
00329   dataFile.open(fileName.c_str());
00330   TEUCHOS_TEST_FOR_EXCEPTION( !dataFile.good(), std::logic_error,
00331                       ">>> ERROR (HGRAD_HEX_I2/test01): could not open GRAD values data file, test aborted.");
00332   while (!dataFile.eof() ){
00333     double temp;
00334     string line;                            // string for one line of input file
00335     std::getline(dataFile, line);           // get next line from file
00336     stringstream data_line(line);           // convert to stringstream
00337     while(data_line >> temp){               // extract value from line
00338       basisGrads.push_back(temp);           // push into vector
00339     }
00340   }
00341   // It turns out that just closing and then opening the ifstream variable does not reset it
00342   // and subsequent open() command fails. One fix is to explicitely clear the ifstream, or
00343   // scope the variables.
00344   dataFile.close();
00345   dataFile.clear();
00346     
00347    
00348   //D2: flat array with the values of D2 applied to basis functions. Multi-index is (F,P,D2cardinality)
00349   std::vector<double> basisD2; 
00350   fileName = "./testdata/HEX_I2_D2Vals.dat";  
00351   dataFile.open(fileName.c_str());
00352   TEUCHOS_TEST_FOR_EXCEPTION( !dataFile.good(), std::logic_error,
00353                       ">>> ERROR (HGRAD_HEX_I2/test01): could not open D2 values data file, test aborted.");
00354   while (!dataFile.eof() ){
00355     double temp;
00356     string line;                            // string for one line of input file
00357     std::getline(dataFile, line);           // get next line from file
00358     stringstream data_line(line);           // convert to stringstream
00359     while(data_line >> temp){               // extract value from line
00360       basisD2.push_back(temp);              // push into vector
00361     }
00362   }
00363   dataFile.close();
00364   dataFile.clear();
00365 
00366   
00367   //D3: flat array with the values of D3 applied to basis functions. Multi-index is (F,P,D3cardinality)
00368   std::vector<double> basisD3;
00369   
00370   fileName = "./testdata/HEX_I2_D3Vals.dat";  
00371   dataFile.open(fileName.c_str());
00372   TEUCHOS_TEST_FOR_EXCEPTION( !dataFile.good(), std::logic_error,
00373                       ">>> ERROR (HGRAD_HEX_I2/test01): could not open D3 values data file, test aborted.");
00374   
00375   while (!dataFile.eof() ){
00376     double temp;
00377     string line;                            // string for one line of input file
00378     std::getline(dataFile, line);           // get next line from file
00379     stringstream data_line(line);           // convert to stringstream
00380     while(data_line >> temp){               // extract value from line
00381       basisD3.push_back(temp);              // push into vector
00382     }
00383   }
00384   dataFile.close();
00385   dataFile.clear();
00386  
00387   
00388 
00389   try{
00390         
00391     // Dimensions for the output arrays:
00392     int numFields = hexBasis.getCardinality();
00393     int numPoints = hexNodes.dimension(0);
00394     int spaceDim  = hexBasis.getBaseCellTopology().getDimension();
00395     
00396     // Generic array for values, grads, curls, etc. that will be properly sized before each call
00397     FieldContainer<double> vals;
00398     
00399     // Check VALUE of basis functions: resize vals to rank-2 container:
00400     vals.resize(numFields, numPoints);
00401     hexBasis.getValues(vals, hexNodes, OPERATOR_VALUE);
00402     for (int i = 0; i < numFields; i++) {
00403       for (int j = 0; j < numPoints; j++) {
00404           int l =  i + j * numFields;
00405            if (std::abs(vals(i,j) - basisValues[l]) > INTREPID_TOL) {
00406              errorFlag++;
00407              *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
00408 
00409              // Output the multi-index of the value where the error is:
00410              *outStream << " At multi-index { ";
00411              *outStream << i << " ";*outStream << j << " ";
00412              *outStream << "}  computed value: " << vals(i,j)
00413                << " but reference value: " << basisValues[l] << "\n";
00414          }
00415       }
00416     }
00417     
00418     
00419     // Check GRAD of basis function: resize vals to rank-3 container
00420     vals.resize(numFields, numPoints, spaceDim);
00421     hexBasis.getValues(vals, hexNodes, OPERATOR_GRAD);
00422     for (int i = 0; i < numFields; i++) {
00423       for (int j = 0; j < numPoints; j++) {
00424         for (int k = 0; k < spaceDim; k++) {
00425           
00426           // basisGrads is (F,P,D), compute offset:
00427           int l = k + j * spaceDim + i * spaceDim * numPoints;
00428 
00429            if (std::abs(vals(i,j,k) - basisGrads[l]) > INTREPID_TOL) {
00430              errorFlag++;
00431              *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
00432 
00433              // Output the multi-index of the value where the error is:
00434              *outStream << " At multi-index { ";
00435              *outStream << i << " ";*outStream << j << " ";*outStream << k << " ";
00436              *outStream << "}  computed grad component: " << vals(i,j,k)
00437                << " but reference grad component: " << basisGrads[l] << "\n";
00438             }
00439 
00440          }
00441       }
00442     }
00443     
00444     // Check D1 of basis function (do not resize vals because it has the correct size: D1 = GRAD)
00445     hexBasis.getValues(vals, hexNodes, OPERATOR_D1);
00446     for (int i = 0; i < numFields; i++) {
00447       for (int j = 0; j < numPoints; j++) {
00448         for (int k = 0; k < spaceDim; k++) {
00449 
00450           // basisGrads is (F,P,D), compute offset:
00451           int l = k + j * spaceDim + i * spaceDim * numPoints;
00452            if (std::abs(vals(i,j,k) - basisGrads[l]) > INTREPID_TOL) {
00453              errorFlag++;
00454              *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
00455 
00456              // Output the multi-index of the value where the error is:
00457              *outStream << " At multi-index { ";
00458              *outStream << i << " ";*outStream << j << " ";*outStream << k << " ";
00459              *outStream << "}  computed D1 component: " << vals(i,j,k)
00460                << " but reference D1 component: " << basisGrads[l] << "\n";
00461             }
00462 
00463          }
00464       }
00465     }
00466 
00467     
00468     // Check D2 of basis function
00469     int D2cardinality = Intrepid::getDkCardinality(OPERATOR_D2, spaceDim);
00470     vals.resize(numFields, numPoints, D2cardinality);    
00471     hexBasis.getValues(vals, hexNodes, OPERATOR_D2);
00472     for (int i = 0; i < numFields; i++) {
00473       for (int j = 0; j < numPoints; j++) {
00474         for (int k = 0; k < D2cardinality; k++) {
00475 
00476           // basisD2 is (F,P,Dk), compute offset:
00477           int l = k + j * D2cardinality + i * D2cardinality * numPoints;
00478            if (std::abs(vals(i,j,k) - basisD2[l]) > INTREPID_TOL) {
00479              errorFlag++;
00480              *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
00481 
00482              // Output the multi-index of the value where the error is:
00483              *outStream << " At multi-index { ";
00484              *outStream << i << " ";*outStream << j << " ";*outStream << k << " ";
00485              *outStream << "}  computed D2 component: " << vals(i,j,k)
00486                << " but reference D2 component: " << basisD2[l] << "\n";
00487             }
00488          }
00489       }
00490     }
00491 
00492     
00493     // Check D3 of basis function
00494     int D3cardinality = Intrepid::getDkCardinality(OPERATOR_D3, spaceDim);
00495     vals.resize(numFields, numPoints, D3cardinality);    
00496     hexBasis.getValues(vals, hexNodes, OPERATOR_D3);
00497      
00498     for (int i = 0; i < numFields; i++) {
00499       for (int j = 0; j < numPoints; j++) {
00500         for (int k = 0; k < D3cardinality; k++) {
00501 
00502           // basisD3 is (F,P,Dk), compute offset:
00503           int l = k + j * D3cardinality + i * D3cardinality * numPoints;
00504           if (std::abs(vals(i,j,k) - basisD3[l]) > INTREPID_TOL) {
00505             errorFlag++;
00506             *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
00507             
00508             // Output the multi-index of the value where the error is:
00509             *outStream << " At multi-index { ";
00510             *outStream << i << " ";*outStream << j << " ";*outStream << k << " ";
00511             *outStream << "}  computed D3 component: " << vals(i,j,k)
00512               << " but reference D3 component: " << basisD3[l] << "\n";
00513           }
00514         }
00515       }
00516     }
00517 
00518   }
00519   
00520   // Catch unexpected errors
00521   catch (std::logic_error err) {
00522     *outStream << err.what() << "\n\n";
00523     errorFlag = -1000;
00524   };
00525 
00526   *outStream \
00527     << "\n"
00528     << "===============================================================================\n"\
00529     << "| TEST 4: correctness of DoF locations                                        |\n"\
00530     << "===============================================================================\n";
00531 
00532   try{
00533     Teuchos::RCP<Basis<double, FieldContainer<double> > > basis =
00534       Teuchos::rcp(new Basis_HGRAD_HEX_I2_FEM<double, FieldContainer<double> >);
00535     Teuchos::RCP<DofCoordsInterface<FieldContainer<double> > > coord_iface =
00536       Teuchos::rcp_dynamic_cast<DofCoordsInterface<FieldContainer<double> > >(basis);
00537 
00538     FieldContainer<double> cvals;
00539     FieldContainer<double> bvals(basis->getCardinality(), basis->getCardinality());
00540 
00541     // Check exceptions.
00542 #ifdef HAVE_INTREPID_DEBUG
00543     cvals.resize(1,2,3);
00544     INTREPID_TEST_COMMAND( coord_iface->getDofCoords(cvals), throwCounter, nException );
00545     cvals.resize(3,2);
00546     INTREPID_TEST_COMMAND( coord_iface->getDofCoords(cvals), throwCounter, nException );
00547     cvals.resize(20,2);
00548     INTREPID_TEST_COMMAND( coord_iface->getDofCoords(cvals), throwCounter, nException );
00549 #endif
00550     cvals.resize(20,3);
00551     INTREPID_TEST_COMMAND( coord_iface->getDofCoords(cvals), throwCounter, nException ); nException--;
00552     // Check if number of thrown exceptions matches the one we expect
00553     if (throwCounter != nException) {
00554       errorFlag++;
00555       *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
00556     }
00557 
00558     // Check mathematical correctness.
00559     basis->getValues(bvals, cvals, OPERATOR_VALUE);
00560     char buffer[120];
00561     for (int i=0; i<bvals.dimension(0); i++) {
00562       for (int j=0; j<bvals.dimension(1); j++) {
00563         if ((i != j) && (std::abs(bvals(i,j) - 0.0) > INTREPID_TOL)) {
00564           errorFlag++;
00565           sprintf(buffer, "\nValue of basis function %d at (%6.4e, %6.4e, %6.4e) is %6.4e but should be %6.4e!\n", i, cvals(i,0), cvals(i,1), cvals(i,2), bvals(i,j), 0.0);
00566           *outStream << buffer;
00567         }
00568         else if ((i == j) && (std::abs(bvals(i,j) - 1.0) > INTREPID_TOL)) {
00569           errorFlag++;
00570           sprintf(buffer, "\nValue of basis function %d at (%6.4e, %6.4e, %6.4e) is %6.4e but should be %6.4e!\n", i, cvals(i,0), cvals(i,1), cvals(i,2), bvals(i,j), 1.0);
00571           *outStream << buffer;
00572         }
00573       }
00574     }
00575 
00576   }
00577   catch (std::logic_error err){
00578     *outStream << err.what() << "\n\n";
00579     errorFlag = -1000;
00580   };
00581   
00582   if (errorFlag != 0)
00583     std::cout << "End Result: TEST FAILED\n";
00584   else
00585     std::cout << "End Result: TEST PASSED\n";
00586   
00587   // reset format state of std::cout
00588   std::cout.copyfmt(oldFormatState);
00589   
00590   return errorFlag;
00591 }