Intrepid: http://trilinos.sandia.gov/packages/docs/r10.0/packages/intrepid/test/Discretization/Basis/HCURL_HEX_I1_FEM/test

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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 // 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_HCURL_HEX_I1_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_HCURL_HEX_I1_FEM)                          |\n" \
00080     << "|                                                                             |\n" \
00081     << "|     1) Conversion of Dof tags into Dof ordinals and back                    |\n" \
00082     << "|     2) Basis values for VALUE and CURL 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_HCURL_HEX_I1_FEM<double, FieldContainer<double> > hexBasis;
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 8 vertices of the reference HEX, its center and 6 face centers
00104   FieldContainer<double> hexNodes(15, 3);
00105   hexNodes(0,0) = -1.0;  hexNodes(0,1) = -1.0;  hexNodes(0,2) = -1.0;
00106   hexNodes(1,0) =  1.0;  hexNodes(1,1) = -1.0;  hexNodes(1,2) = -1.0;
00107   hexNodes(2,0) =  1.0;  hexNodes(2,1) =  1.0;  hexNodes(2,2) = -1.0;
00108   hexNodes(3,0) = -1.0;  hexNodes(3,1) =  1.0;  hexNodes(3,2) = -1.0;
00109   
00110   hexNodes(4,0) = -1.0;  hexNodes(4,1) = -1.0;  hexNodes(4,2) =  1.0;
00111   hexNodes(5,0) =  1.0;  hexNodes(5,1) = -1.0;  hexNodes(5,2) =  1.0;
00112   hexNodes(6,0) =  1.0;  hexNodes(6,1) =  1.0;  hexNodes(6,2) =  1.0;
00113   hexNodes(7,0) = -1.0;  hexNodes(7,1) =  1.0;  hexNodes(7,2) =  1.0;  
00114   
00115   hexNodes(8,0) =  0.0;  hexNodes(8,1) =  0.0;  hexNodes(8,2) =  0.0;
00116   
00117   hexNodes(9,0) =  1.0;  hexNodes(9,1) =  0.0;  hexNodes(9,2) =  0.0;
00118   hexNodes(10,0)= -1.0;  hexNodes(10,1)=  0.0;  hexNodes(10,2)=  0.0;
00119   
00120   hexNodes(11,0)=  0.0;  hexNodes(11,1)=  1.0;  hexNodes(11,2)=  0.0;
00121   hexNodes(12,0)=  0.0;  hexNodes(12,1)= -1.0;  hexNodes(12,2)=  0.0;
00122   
00123   hexNodes(13,0)=  0.0;  hexNodes(13,1)=  0.0;  hexNodes(13,2)=  1.0;
00124   hexNodes(14,0)=  0.0;  hexNodes(14,1)=  0.0;  hexNodes(14,2)= -1.0;
00125 
00126   
00127   // Generic array for the output values; needs to be properly resized depending on the operator type
00128   FieldContainer<double> vals;
00129 
00130   try{
00131     // exception #1: GRAD cannot be applied to HCURL functions 
00132     // resize vals to rank-3 container with dimensions (num. basis functions, num. points, arbitrary)
00133     vals.resize(hexBasis.getCardinality(), hexNodes.dimension(0), 4 );
00134     INTREPID_TEST_COMMAND( hexBasis.getValues(vals, hexNodes, OPERATOR_GRAD), throwCounter, nException );
00135 
00136     // exception #2: DIV cannot be applied to HCURL functions
00137     // resize vals to rank-2 container with dimensions (num. points, num. basis functions)
00138     vals.resize(hexBasis.getCardinality(), hexNodes.dimension(0) );
00139     INTREPID_TEST_COMMAND( hexBasis.getValues(vals, hexNodes, OPERATOR_DIV), throwCounter, nException );
00140         
00141     // Exceptions 3-7: all bf tags/bf Ids below are wrong and should cause getDofOrdinal() and 
00142     // getDofTag() to access invalid array elements thereby causing bounds check exception
00143     // exception #3
00144     INTREPID_TEST_COMMAND( hexBasis.getDofOrdinal(3,0,0), throwCounter, nException );
00145     // exception #4
00146     INTREPID_TEST_COMMAND( hexBasis.getDofOrdinal(1,1,1), throwCounter, nException );
00147     // exception #5
00148     INTREPID_TEST_COMMAND( hexBasis.getDofOrdinal(0,4,1), throwCounter, nException );
00149     // exception #6
00150     INTREPID_TEST_COMMAND( hexBasis.getDofTag(12), throwCounter, nException );
00151     // exception #7
00152     INTREPID_TEST_COMMAND( hexBasis.getDofTag(-1), throwCounter, nException );
00153     
00154 #ifdef HAVE_INTREPID_DEBUG
00155     // Exceptions 8-15 test exception handling with incorrectly dimensioned input/output arrays
00156     // exception #8: input points array must be of rank-2
00157     FieldContainer<double> badPoints1(4, 5, 3);
00158     INTREPID_TEST_COMMAND( hexBasis.getValues(vals, badPoints1, OPERATOR_VALUE), throwCounter, nException );
00159     
00160     // exception #9 dimension 1 in the input point array must equal space dimension of the cell
00161     FieldContainer<double> badPoints2(4, 2);
00162     INTREPID_TEST_COMMAND( hexBasis.getValues(vals, badPoints2, OPERATOR_VALUE), throwCounter, nException );
00163     
00164     // exception #10 output values must be of rank-3 for OPERATOR_VALUE
00165     FieldContainer<double> badVals1(4, 3);
00166     INTREPID_TEST_COMMAND( hexBasis.getValues(badVals1, hexNodes, OPERATOR_VALUE), throwCounter, nException );
00167  
00168     // exception #11 output values must be of rank-3 for OPERATOR_CURL
00169     INTREPID_TEST_COMMAND( hexBasis.getValues(badVals1, hexNodes, OPERATOR_CURL), throwCounter, nException );
00170     
00171     // exception #12 incorrect 0th dimension of output array (must equal number of basis functions)
00172     FieldContainer<double> badVals2(hexBasis.getCardinality() + 1, hexNodes.dimension(0), 3);
00173     INTREPID_TEST_COMMAND( hexBasis.getValues(badVals2, hexNodes, OPERATOR_VALUE), throwCounter, nException ) ;
00174     
00175     // exception #13 incorrect 1st  dimension of output array (must equal number of points)
00176     FieldContainer<double> badVals3(hexBasis.getCardinality(), hexNodes.dimension(0) + 1, 3);
00177     INTREPID_TEST_COMMAND( hexBasis.getValues(badVals3, hexNodes, OPERATOR_VALUE), throwCounter, nException ) ;
00178 
00179     // exception #14: incorrect 2nd dimension of output array (must equal the space dimension)
00180     FieldContainer<double> badVals4(hexBasis.getCardinality(), hexNodes.dimension(0), 4);
00181     INTREPID_TEST_COMMAND( hexBasis.getValues(badVals4, hexNodes, OPERATOR_VALUE), throwCounter, nException ) ;
00182     
00183     // exception #15: incorrect 2nd dimension of output array (must equal the space dimension)
00184     INTREPID_TEST_COMMAND( hexBasis.getValues(badVals4, hexNodes, OPERATOR_CURL), throwCounter, nException ) ;
00185     
00186     // exception #16: D2 cannot be applied to HCURL functions 
00187     // resize vals to rank-3 container with dimensions (num. basis functions, num. points, arbitrary)
00188     vals.resize(hexBasis.getCardinality(), 
00189                 hexNodes.dimension(0),  
00190                 Intrepid::getDkCardinality(OPERATOR_D2, hexBasis.getBaseCellTopology().getDimension()));
00191     INTREPID_TEST_COMMAND( hexBasis.getValues(vals, hexNodes, OPERATOR_D2), throwCounter, nException );
00192     
00193 #endif
00194     
00195   }
00196   catch (std::logic_error err) {
00197     *outStream << "UNEXPECTED ERROR !!! ----------------------------------------------------------\n";
00198     *outStream << err.what() << '\n';
00199     *outStream << "-------------------------------------------------------------------------------" << "\n\n";
00200     errorFlag = -1000;
00201   };
00202   
00203   // Check if number of thrown exceptions matches the one we expect 
00204   // Note Teuchos throw number will not pick up exceptions 3-7 and therefore will not match.
00205   if (throwCounter != nException) {
00206     errorFlag++;
00207     *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
00208   }
00209 //#endif
00210   
00211   *outStream \
00212     << "\n"
00213     << "===============================================================================\n"\
00214     << "| TEST 2: correctness of tag to enum and enum to tag lookups                  |\n"\
00215     << "===============================================================================\n";
00216   
00217   try{
00218     std::vector<std::vector<int> > allTags = hexBasis.getAllDofTags();
00219     
00220     // Loop over all tags, lookup the associated dof enumeration and then lookup the tag again
00221     for (unsigned i = 0; i < allTags.size(); i++) {
00222       int bfOrd  = hexBasis.getDofOrdinal(allTags[i][0], allTags[i][1], allTags[i][2]);
00223       
00224       std::vector<int> myTag = hexBasis.getDofTag(bfOrd);
00225        if( !( (myTag[0] == allTags[i][0]) &&
00226               (myTag[1] == allTags[i][1]) &&
00227               (myTag[2] == allTags[i][2]) &&
00228               (myTag[3] == allTags[i][3]) ) ) {
00229         errorFlag++;
00230         *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
00231         *outStream << " getDofOrdinal( {" 
00232           << allTags[i][0] << ", " 
00233           << allTags[i][1] << ", " 
00234           << allTags[i][2] << ", " 
00235           << allTags[i][3] << "}) = " << bfOrd <<" but \n";   
00236         *outStream << " getDofTag(" << bfOrd << ") = { "
00237           << myTag[0] << ", " 
00238           << myTag[1] << ", " 
00239           << myTag[2] << ", " 
00240           << myTag[3] << "}\n";        
00241       }
00242     }
00243     
00244     // Now do the same but loop over basis functions
00245     for( int bfOrd = 0; bfOrd < hexBasis.getCardinality(); bfOrd++) {
00246       std::vector<int> myTag  = hexBasis.getDofTag(bfOrd);
00247       int myBfOrd = hexBasis.getDofOrdinal(myTag[0], myTag[1], myTag[2]);
00248       if( bfOrd != myBfOrd) {
00249         errorFlag++;
00250         *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
00251         *outStream << " getDofTag(" << bfOrd << ") = { "
00252           << myTag[0] << ", " 
00253           << myTag[1] << ", " 
00254           << myTag[2] << ", " 
00255           << myTag[3] << "} but getDofOrdinal({" 
00256           << myTag[0] << ", " 
00257           << myTag[1] << ", " 
00258           << myTag[2] << ", " 
00259           << myTag[3] << "} ) = " << myBfOrd << "\n";
00260       }
00261     }
00262   }
00263   catch (std::logic_error err){
00264     *outStream << err.what() << "\n\n";
00265     errorFlag = -1000;
00266   };
00267   
00268   *outStream \
00269     << "\n"
00270     << "===============================================================================\n"\
00271     << "| TEST 3: correctness of basis function values                                |\n"\
00272     << "===============================================================================\n";
00273   
00274   outStream -> precision(20);
00275   
00276   // VALUE: Each row pair gives the 12x3 correct basis set values at an evaluation point: (P,F,D) layout
00277   double basisValues[] = {
00278     // bottom 4 vertices
00279       0.5,0.,0.,  0.,0.,0.,  0.,0.,0.,  0.,-0.5,0.,  0.,0.,0.,  0.,0.,0.,  
00280       0.,0.,0.,  0.,0.,0.,  0.,0.,0.5,  0.,0.,0.,  0.,0.,0.,  0.,0.,0.,
00281 
00282       0.5,0.,0.,  0.,0.5,0.,  0.,0.,0.,  0.,0.,0.,  0.,0.,0.,  0.,0.,0.,
00283       0.,0.,0.,  0.,0.,0.,  0.,0.,0.,  0.,0.,0.5,  0.,0.,0.,  0.,0.,0.,
00284 
00285       0.,0.,0.,  0.,0.5,0.,  -0.5,0.,0.,  0.,0.,0.,  0.,0.,0.,  0.,0.,0.,
00286       0.,0.,0.,  0.,0.,0.,  0.,0.,0.,  0.,0.,0.,  0.,0.,0.5,  0.,0.,0.,
00287 
00288       0.,0.,0.,  0.,0.,0.,  -0.5,0.,0.,  0.,-0.5,0.,  0.,0.,0.,  0.,0.,0.,
00289       0.,0.,0.,  0.,0.,0.,  0.,0.,0.,  0.,0.,0.,  0.,0.,0.,  0.,0.,0.5,
00290 
00291     // top 4 vertices
00292       0.,0.,0.,  0.,0.,0.,  0.,0.,0.,  0.,0.,0.,  0.5,0.,0.,  0.,0.,0.,
00293       0.,0.,0.,  0.,-0.5,0.,  0.,0.,0.5,  0.,0.,0.,  0.,0.,0.,  0.,0.,0.,
00294 
00295       0.,0.,0.,  0.,0.,0.,  0.,0.,0.,  0.,0.,0.,  0.5,0.,0.,  0.,0.5,0.,
00296       0.,0.,0.,  0.,0.,0.,  0.,0.,0.,  0.,0.,0.5,  0.,0.,0.,  0.,0.,0.,
00297      
00298       0.,0.,0.,  0.,0.,0.,  0.,0.,0.,  0.,0.,0.,  0.,0.,0.,  0.,0.5,0.,
00299      -0.5,0.,0.,  0.,0.,0.,  0.,0.,0.,  0.,0.,0.,  0.,0.,0.5,  0.,0.,0.,
00300    
00301       0.,0.,0.,  0.,0.,0.,  0.,0.,0.,  0.,0.,0.,  0.,0.,0.,  0.,0.,0.,
00302      -0.5,0.,0.,  0.,-0.5,0.,  0.,0.,0.,  0.,0.,0.,  0.,0.,0.,  0.,0.,0.5,
00303 
00304     // center {0, 0, 0}
00305       0.125,0.,0.,  0.,0.125,0.,  -0.125,0.,0.,  0.,-0.125,0.,  0.125,0.,0.,  0.,0.125,0.,
00306      -0.125,0.,0.,  0.,-0.125,0.,  0.,0.,0.125,  0.,0.,0.125,  0.,0.,0.125,  0.,0.,0.125,
00307   
00308     // faces { 1, 0, 0} and {-1, 0, 0}
00309       0.125,0.,0.,  0.,0.25,0.,  -0.125,0.,0.,  0.,0.,0.,  0.125,0.,0.,  0.,0.25,0.,
00310      -0.125,0.,0.,  0.,0.,0.,  0.,0.,0.,  0.,0.,0.25,  0.,0.,0.25,  0.,0.,0.,  
00311 
00312       0.125,0.,0.,  0.,0.,0.,  -0.125,0.,0.,  0.,-0.25,0.,  0.125,0.,0.,  0.,0.,0.,
00313      -0.125,0.,0.,  0.,-0.25,0.,  0.,0.,0.25,  0.,0.,0.,  0.,0.,0.,  0.,0.,0.25,
00314 
00315     // faces { 0, 1, 0} and { 0,-1, 0}
00316       0.,0.,0.,  0.,0.125,0.,  -0.25,0.,0.,  0.,-0.125,0.,  0.,0.,0.,  0.,0.125,0.,
00317      -0.25,0.,0.,  0.,-0.125,0.,  0.,0.,0.,  0.,0.,0.,  0.,0.,0.25,  0.,0.,0.25,
00318 
00319       0.25,0.,0.,  0.,0.125,0.,  0.,0.,0.,  0.,-0.125,0.,  0.25,0.,0.,  0.,0.125,0.,
00320       0.,0.,0.,  0.,-0.125,0.,  0.,0.,0.25,  0.,0.,0.25,  0.,0.,0.,  0.,0.,0.,
00321 
00322     // faces {0, 0, 1} and {0, 0, -1}
00323       0.,0.,0.,  0.,0.,0.,  0.,0.,0.,  0.,0.,0.,  0.25,0.,0.,  0.,0.25,0.,
00324      -0.25,0.,0.,  0.,-0.25,0.,  0.,0.,0.125,  0.,0.,0.125,  0.,0.,0.125,  0.,0.,0.125,
00325 
00326       0.25,0.,0.,  0.,0.25,0.,  -0.25,0.,0.,  0.,-0.25,0.,  0.,0.,0.,  0.,0.,0.,  
00327       0.0,0.,0.,  0.,0.,0.0,  0.,0.,0.125,  0.,0.,0.125,  0.,0.,0.125,  0.,0.,0.125
00328   };
00329   
00330   // CURL: each row pair gives the 3x12 correct values of the curls of the 12 basis functions: (P,F,D) layout
00331   double basisCurls[] = {   
00332     // bottom 4 vertices
00333     0.,-0.25,0.25,  0.,0.,0.25,  0.,0.,0.25,  -0.25,0.,0.25,  0.,0.25,0.,  0.,0.,0.,  
00334     0.,0.,0.,  0.25,0.,0.,  -0.25,0.25,0.,  0.,-0.25,0.,  0.,0.,0.,  0.25,0.,0.,
00335 
00336     0.,-0.25,0.25,  0.25,0.,0.25,  0.,0.,0.25,  0.,0.,0.25,  0.,0.25,0.,  -0.25,0.,0., 
00337     0.,0.,0.,  0.,0.,0.,  0.,0.25,0.,  -0.25,-0.25,0.,  0.25,0.,0.,  0.,0.,0.,  
00338 
00339     0.,0.,0.25,  0.25,0.,0.25,  0.,0.25,0.25,  0.,0.,0.25,  0.,0.,0.,  -0.25,0.,0.,
00340     0.,-0.25,0.,  0.,0.,0.,  0.,0.,0.,  -0.25,0.,0.,  0.25,-0.25,0.,  0.,0.25,0.,
00341 
00342     0.,0.,0.25,  0.,0.,0.25,  0.,0.25,0.25,  -0.25,0.,0.25,  0.,0.,0.,  0.,0.,0.,
00343     0.,-0.25,0.,  0.25,0.,0.,  -0.25,0.,0.,  0.,0.,0.,  0.,-0.25,0.,  0.25,0.25,0.,
00344 
00345     // top 4 vertices
00346     0.,-0.25,0.,  0.,0.,0.,  0.,0.,0.,  -0.25,0.,0.,  0.,0.25,0.25,  0.,0.,0.25,
00347     0.,0.,0.25,  0.25,0.,0.25,  -0.25,0.25,0.,  0.,-0.25,0.,  0.,0.,0.,  0.25,0.,0.,
00348 
00349     0.,-0.25,0.,  0.25,0.,0.,  0.,0.,0.,  0.,0.,0.,  0.,0.25,0.25,  -0.25,0.,0.25,
00350     0.,0.,0.25,  0.,0.,0.25,  0.,0.25,0.,  -0.25,-0.25,0.,  0.25,0.,0.,  0.,0.,0.,
00351 
00352     0.,0.,0.,  0.25,0.,0.,  0.,0.25,0.,  0.,0.,0.,  0.,0.,0.25,  -0.25,0.,0.25,
00353     0.,-0.25,0.25,  0.,0.,0.25,  0.,0.,0.,  -0.25,0.,0.,  0.25,-0.25,0.,  0.,0.25,0.,
00354 
00355     0.,0.,0.,  0.,0.,0.,  0.,0.25,0.,  -0.25,0.,0.,  0.,0.,0.25,  0.,0.,0.25,
00356     0.,-0.25,0.25,  0.25,0.,0.25,  -0.25,0.,0., 0.,0.,0.,  0.,-0.25,0.,  0.25,0.25,0.,
00357 
00358     // center {0, 0, 0}
00359     0.,-0.125,0.125,  0.125,0.,0.125,  0.,0.125,0.125,  -0.125,0.,0.125,  0.,0.125,0.125,  -0.125,0.,0.125,
00360     0.,-0.125,0.125,  0.125,0.,0.125,  -0.125,0.125,0.,  -0.125,-0.125,0.,  0.125,-0.125,0.,  0.125,0.125,0.,
00361 
00362     // faces { 1, 0, 0} and {-1, 0, 0}
00363     0.,-0.125,0.125,  0.25,0.,0.125,  0.,0.125,0.125,  0.,0.,0.125,  0.,0.125,0.125,  -0.25,0.,0.125, 
00364     0.,-0.125,0.125,  0.,0.,0.125,  0.,0.125,0.,  -0.25,-0.125,0.,  0.25,-0.125,0.,  0.,0.125,0., 
00365 
00366     0.,-0.125,0.125,  0.,0.,0.125,  0.,0.125,0.125,  -0.25,0.,0.125,  0.,0.125,0.125,  0.,0.,0.125,
00367     0.,-0.125,0.125,  0.25,0.,0.125,  -0.25,0.125,0.,  0.,-0.125,0.,  0.,-0.125,0.,  0.25,0.125,0.,
00368 
00369     // faces { 0, 1, 0} and { 0,-1, 0}
00370     0.,0.,0.125,  0.125,0.,0.125,  0.,0.25,0.125,  -0.125,0.,0.125,  0.,0.,0.125,  -0.125,0.,0.125,
00371     0.,-0.25,0.125,  0.125,0.,0.125,  -0.125,0.,0.,  -0.125,0.,0.,  0.125,-0.25,0.,  0.125,0.25,0.,
00372 
00373     0.,-0.25,0.125,  0.125,0.,0.125,  0.,0.,0.125,  -0.125,0.,0.125,  0.,0.25,0.125,  -0.125,0.,0.125,
00374     0.,0.,0.125,  0.125,0.,0.125,  -0.125,0.25,0.,  -0.125,-0.25,0.,  0.125,0.,0.,  0.125,0.,0.,
00375 
00376     // faces {0, 0, 1} and {0, 0, -1}
00377     0.,-0.125,0.,  0.125,0.,0.,  0.,0.125,0.,  -0.125,0.,0.,  0.,0.125,0.25,  -0.125,0.,0.25,
00378     0.,-0.125,0.25,  0.125,0.,0.25,  -0.125,0.125,0.,  -0.125,-0.125,0.,  0.125,-0.125,0.,  0.125,0.125,0.,
00379 
00380     0.,-0.125,0.25,  0.125,0.,0.25,  0.,0.125,0.25,  -0.125,0.,0.25,  0.,0.125,0.,  -0.125,0.,0.,
00381     0.,-0.125,0.,  0.125,0.,0.,  -0.125,0.125,0.,  -0.125,-0.125,0.,  0.125,-0.125,0.,  0.125,0.125,0.
00382   };
00383 
00384   
00385   try{
00386         
00387     // Dimensions for the output arrays:
00388     int numFields = hexBasis.getCardinality();
00389     int numPoints = hexNodes.dimension(0);
00390     int spaceDim  = hexBasis.getBaseCellTopology().getDimension();
00391     
00392     // Generic array for values and curls that will be properly sized before each call
00393     FieldContainer<double> vals;
00394     
00395     // Check VALUE of basis functions: resize vals to rank-3 container:
00396     vals.resize(numFields, numPoints, spaceDim);
00397     hexBasis.getValues(vals, hexNodes, OPERATOR_VALUE);
00398     for (int i = 0; i < numFields; i++) {
00399       for (int j = 0; j < numPoints; j++) {
00400         for (int k = 0; k < spaceDim; k++) {
00401           
00402           // compute offset for (P,F,D) data layout: indices are P->j, F->i, D->k
00403           int l = k + i * spaceDim + j * spaceDim * numFields;
00404            if (std::abs(vals(i,j,k) - basisValues[l]) > INTREPID_TOL) {
00405              errorFlag++;
00406              *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
00407         
00408              // Output the multi-index of the value where the error is: 
00409              *outStream << " At multi-index { ";
00410              *outStream << i << " ";*outStream << j << " ";*outStream << k << " ";
00411              *outStream << "}  computed value: " << vals(i,j,k)
00412                << " but reference value: " << basisValues[l] << "\n";
00413             }
00414          }
00415       }
00416     }
00417     
00418     // Check CURL of basis function: resize vals to rank-3 container
00419     vals.resize(numFields, numPoints, spaceDim);
00420     hexBasis.getValues(vals, hexNodes, OPERATOR_CURL);
00421     for (int i = 0; i < numFields; i++) {
00422       for (int j = 0; j < numPoints; j++) {
00423         for (int k = 0; k < spaceDim; k++) {
00424 
00425           // compute offset for (P,F,D) data layout: indices are P->j, F->i, D->k
00426            int l = k + i * spaceDim + j * spaceDim * numFields;
00427            if (std::abs(vals(i,j,k) - basisCurls[l]) > INTREPID_TOL) {
00428              errorFlag++;
00429              *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
00430         
00431              // Output the multi-index of the value where the error is: 
00432              *outStream << " At multi-index { ";
00433              *outStream << i << " ";*outStream << j << " ";*outStream << k << " ";
00434              *outStream << "}  computed curl component: " << vals(i,j,k) 
00435                << " but reference curl component: " << basisCurls[l] << "\n";
00436             }
00437          }
00438       }
00439     }
00440     
00441    }    
00442   
00443   // Catch unexpected errors
00444   catch (std::logic_error err) {
00445     *outStream << err.what() << "\n\n";
00446     errorFlag = -1000;
00447   };
00448   
00449   if (errorFlag != 0)
00450     std::cout << "End Result: TEST FAILED\n";
00451   else
00452     std::cout << "End Result: TEST PASSED\n";
00453   
00454   // reset format state of std::cout
00455   std::cout.copyfmt(oldFormatState);
00456   
00457   return errorFlag;
00458 }
http://trilinos.sandia.gov/packages/docs/r10.0/packages/intrepid/test/Discretization/Basis/HCURL_HEX_I1_FEM/test_01.cpp
