Intrepid
/usr/src/RPM/BUILD/trilinos10-10.6.4/packages/intrepid/test/Discretization/Basis/HCURL_WEDGE_I1_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_HCURL_WEDGE_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_WEDGE_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_WEDGE_I1_FEM<double, FieldContainer<double> > wedgeBasis;
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 6 vertices of the reference WEDGE and 6 other points.
00104   FieldContainer<double> wedgeNodes(12, 3);
00105   wedgeNodes(0,0) =  0.0;  wedgeNodes(0,1) =  0.0;  wedgeNodes(0,2) = -1.0;
00106   wedgeNodes(1,0) =  1.0;  wedgeNodes(1,1) =  0.0;  wedgeNodes(1,2) = -1.0;
00107   wedgeNodes(2,0) =  0.0;  wedgeNodes(2,1) =  1.0;  wedgeNodes(2,2) = -1.0;
00108   wedgeNodes(3,0) =  0.0;  wedgeNodes(3,1) =  0.0;  wedgeNodes(3,2) =  1.0;
00109   wedgeNodes(4,0) =  1.0;  wedgeNodes(4,1) =  0.0;  wedgeNodes(4,2) =  1.0;
00110   wedgeNodes(5,0) =  0.0;  wedgeNodes(5,1) =  1.0;  wedgeNodes(5,2) =  1.0;
00111 
00112   wedgeNodes(6,0) =  0.25; wedgeNodes(6,1) =  0.5;  wedgeNodes(6,2) = -1.0;
00113   wedgeNodes(7,0) =  0.5;  wedgeNodes(7,1) =  0.25; wedgeNodes(7,2) =  0.0;
00114   wedgeNodes(8,0) =  0.25; wedgeNodes(8,1) =  0.25; wedgeNodes(8,2) =  1.0;
00115   wedgeNodes(9,0) =  0.25; wedgeNodes(9,1) =  0.0;  wedgeNodes(9,2) =  0.75;
00116   wedgeNodes(10,0)=  0.0;  wedgeNodes(10,1)=  0.5;  wedgeNodes(10,2)= -0.25;
00117   wedgeNodes(11,0)=  0.5;  wedgeNodes(11,1)=  0.5;  wedgeNodes(11,2)=  0.0;
00118 
00119 
00120 
00121   // Generic array for the output values; needs to be properly resized depending on the operator type
00122   FieldContainer<double> vals;
00123 
00124   try{
00125     // exception #1: GRAD cannot be applied to HCURL functions 
00126     // resize vals to rank-3 container with dimensions (num. basis functions, num. points, arbitrary)
00127     vals.resize(wedgeBasis.getCardinality(), wedgeNodes.dimension(0), 3 );
00128     INTREPID_TEST_COMMAND( wedgeBasis.getValues(vals, wedgeNodes, OPERATOR_GRAD), throwCounter, nException );
00129 
00130     // exception #2: DIV cannot be applied to HCURL functions
00131     // resize vals to rank-2 container with dimensions (num. basis functions, num. points)
00132     vals.resize(wedgeBasis.getCardinality(), wedgeNodes.dimension(0));
00133     INTREPID_TEST_COMMAND( wedgeBasis.getValues(vals, wedgeNodes, OPERATOR_DIV), throwCounter, nException );
00134         
00135     // Exceptions 3-7: all bf tags/bf Ids below are wrong and should cause getDofOrdinal() and 
00136     // getDofTag() to access invalid array elements thereby causing bounds check exception
00137     // exception #3
00138     INTREPID_TEST_COMMAND( wedgeBasis.getDofOrdinal(3,0,0), throwCounter, nException );
00139     // exception #4
00140     INTREPID_TEST_COMMAND( wedgeBasis.getDofOrdinal(1,1,1), throwCounter, nException );
00141     // exception #5
00142     INTREPID_TEST_COMMAND( wedgeBasis.getDofOrdinal(0,4,1), throwCounter, nException );
00143     // exception #6
00144     INTREPID_TEST_COMMAND( wedgeBasis.getDofTag(10), throwCounter, nException );
00145     // exception #7
00146     INTREPID_TEST_COMMAND( wedgeBasis.getDofTag(-1), throwCounter, nException );
00147     
00148 #ifdef HAVE_INTREPID_DEBUG
00149     // Exceptions 8- test exception handling with incorrectly dimensioned input/output arrays
00150     // exception #8: input points array must be of rank-2
00151     FieldContainer<double> badPoints1(4, 5, 3);
00152     INTREPID_TEST_COMMAND( wedgeBasis.getValues(vals, badPoints1, OPERATOR_VALUE), throwCounter, nException );
00153     
00154     // exception #9 dimension 1 in the input point array must equal space dimension of the cell
00155     FieldContainer<double> badPoints2(4, 2);
00156     INTREPID_TEST_COMMAND( wedgeBasis.getValues(vals, badPoints1, OPERATOR_VALUE), throwCounter, nException );
00157     
00158     // exception #10 output values must be of rank-3 for OPERATOR_VALUE
00159     FieldContainer<double> badVals1(4, 3);
00160     INTREPID_TEST_COMMAND( wedgeBasis.getValues(badVals1, wedgeNodes, OPERATOR_VALUE), throwCounter, nException );
00161  
00162     // exception #11 output values must be of rank-3 for OPERATOR_CURL
00163     INTREPID_TEST_COMMAND( wedgeBasis.getValues(badVals1, wedgeNodes, OPERATOR_CURL), throwCounter, nException );
00164     
00165     // exception #12 incorrect 0th dimension of output array (must equal number of basis functions)
00166     FieldContainer<double> badVals2(wedgeBasis.getCardinality() + 1, wedgeNodes.dimension(0), 3);
00167     INTREPID_TEST_COMMAND( wedgeBasis.getValues(badVals2, wedgeNodes, OPERATOR_VALUE), throwCounter, nException );
00168     
00169     // exception #13 incorrect 1st dimension of output array (must equal number of points)
00170     FieldContainer<double> badVals3(wedgeBasis.getCardinality(), wedgeNodes.dimension(0) + 1, 3);
00171     INTREPID_TEST_COMMAND( wedgeBasis.getValues(badVals3, wedgeNodes, OPERATOR_VALUE), throwCounter, nException );
00172 
00173     // exception #14: incorrect 2nd dimension of output array (must equal the space dimension)
00174     FieldContainer<double> badVals4(wedgeBasis.getCardinality(), wedgeNodes.dimension(0), 4);
00175     INTREPID_TEST_COMMAND( wedgeBasis.getValues(badVals4, wedgeNodes, OPERATOR_VALUE), throwCounter, nException );
00176     
00177     // exception #15: incorrect 2nd dimension of output array (must equal the space dimension)
00178     INTREPID_TEST_COMMAND( wedgeBasis.getValues(badVals4, wedgeNodes, OPERATOR_CURL), throwCounter, nException );
00179 #endif
00180     
00181   }
00182   catch (std::logic_error err) {
00183     *outStream << "UNEXPECTED ERROR !!! ----------------------------------------------------------\n";
00184     *outStream << err.what() << '\n';
00185     *outStream << "-------------------------------------------------------------------------------" << "\n\n";
00186     errorFlag = -1000;
00187   };
00188   
00189   // Check if number of thrown exceptions matches the one we expect 
00190   // Note Teuchos throw number will not pick up exceptions 3-7 and therefore will not match.
00191   if (throwCounter != nException) {
00192     errorFlag++;
00193     *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
00194   }
00195   
00196   *outStream \
00197     << "\n"
00198     << "===============================================================================\n"\
00199     << "| TEST 2: correctness of tag to enum and enum to tag lookups                  |\n"\
00200     << "===============================================================================\n";
00201   
00202   try{
00203     std::vector<std::vector<int> > allTags = wedgeBasis.getAllDofTags();
00204     
00205     // Loop over all tags, lookup the associated dof enumeration and then lookup the tag again
00206     for (unsigned i = 0; i < allTags.size(); i++) {
00207       int bfOrd  = wedgeBasis.getDofOrdinal(allTags[i][0], allTags[i][1], allTags[i][2]);
00208       
00209       std::vector<int> myTag = wedgeBasis.getDofTag(bfOrd);
00210        if( !( (myTag[0] == allTags[i][0]) &&
00211               (myTag[1] == allTags[i][1]) &&
00212               (myTag[2] == allTags[i][2]) &&
00213               (myTag[3] == allTags[i][3]) ) ) {
00214         errorFlag++;
00215         *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
00216         *outStream << " getDofOrdinal( {" 
00217           << allTags[i][0] << ", " 
00218           << allTags[i][1] << ", " 
00219           << allTags[i][2] << ", " 
00220           << allTags[i][3] << "}) = " << bfOrd <<" but \n";   
00221         *outStream << " getDofTag(" << bfOrd << ") = { "
00222           << myTag[0] << ", " 
00223           << myTag[1] << ", " 
00224           << myTag[2] << ", " 
00225           << myTag[3] << "}\n";        
00226       }
00227     }
00228     
00229     // Now do the same but loop over basis functions
00230     for( int bfOrd = 0; bfOrd < wedgeBasis.getCardinality(); bfOrd++) {
00231       std::vector<int> myTag  = wedgeBasis.getDofTag(bfOrd);
00232       int myBfOrd = wedgeBasis.getDofOrdinal(myTag[0], myTag[1], myTag[2]);
00233       if( bfOrd != myBfOrd) {
00234         errorFlag++;
00235         *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
00236         *outStream << " getDofTag(" << bfOrd << ") = { "
00237           << myTag[0] << ", " 
00238           << myTag[1] << ", " 
00239           << myTag[2] << ", " 
00240           << myTag[3] << "} but getDofOrdinal({" 
00241           << myTag[0] << ", " 
00242           << myTag[1] << ", " 
00243           << myTag[2] << ", " 
00244           << myTag[3] << "} ) = " << myBfOrd << "\n";
00245       }
00246     }
00247   }
00248   catch (std::logic_error err){
00249     *outStream << err.what() << "\n\n";
00250     errorFlag = -1000;
00251   };
00252   
00253   *outStream \
00254     << "\n"
00255     << "===============================================================================\n"\
00256     << "| TEST 3: correctness of basis function values                                |\n"\
00257     << "===============================================================================\n";
00258   
00259   outStream -> precision(20);
00260   
00261   // VALUE: Each row pair gives the 9x3 correct basis set values at an evaluation point: (P,F,D) layout
00262   double basisValues[] = {
00263     1.00000, 0, 0, 0, 0, 0, 0, -1.00000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
00264     0, 0.500000, 0, 0, 0, 0, 0, 0, 1.00000, 1.00000, 0, 0, 1.00000, 0, 0, \
00265     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.500000, 0, 0, 0, 0, \
00266     0, 0, -1.00000, 0, 0, -1.00000, -1.00000, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
00267     0, 0, 0, 0, 0, 0, 0, 0, 0, 0.500000, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
00268     1.00000, 0, 0, 0, 0, 0, 0, -1.00000, 0, 0, 0, 0.500000, 0, 0, 0, 0, \
00269     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.00000, 1.00000, 0, 0, 1.00000, 0, \
00270     0, 0, 0, 0, 0, 0, 0, 0, 0.500000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
00271     0, 0, 0, -1.00000, 0, 0, -1.00000, -1.00000, 0, 0, 0, 0, 0, 0, 0, 0, \
00272     0, 0.500000, 0.500000, 0.250000, 0, -0.500000, 0.250000, 0, \
00273     -0.500000, -0.750000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.125000, \
00274     0, 0, 0.125000, 0, 0, 0.250000, 0.375000, 0.250000, 0, -0.125000, \
00275     0.250000, 0, -0.125000, -0.250000, 0, 0.375000, 0.250000, 0, \
00276     -0.125000, 0.250000, 0, -0.125000, -0.250000, 0, 0, 0, 0.125000, 0, \
00277     0, 0.250000, 0, 0, 0.125000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.750000, \
00278     0.250000, 0, -0.250000, 0.250000, 0, -0.250000, -0.750000, 0, 0, 0, \
00279     0.250000, 0, 0, 0.125000, 0, 0, 0.125000, 0.125000, 0.0312500, 0, 0, \
00280     0.0312500, 0, 0, -0.0937500, 0, 0.875000, 0.218750, 0, 0, 0.218750, \
00281     0, 0, -0.656250, 0, 0, 0, 0.375000, 0, 0, 0.125000, 0, 0, 0, \
00282     0.312500, 0, 0, -0.312500, 0, 0, -0.312500, -0.625000, 0, 0.187500, \
00283     0, 0, -0.187500, 0, 0, -0.187500, -0.375000, 0, 0, 0, 0.250000, 0, 0, \
00284     0, 0, 0, 0.250000, 0.250000, 0.250000, 0, -0.250000, 0.250000, 0, \
00285     -0.250000, -0.250000, 0, 0.250000, 0.250000, 0, -0.250000, 0.250000, \
00286     0, -0.250000, -0.250000, 0, 0, 0, 0, 0, 0, 0.250000, 0, 0, 0.250000    
00287   };
00288   
00289   // CURL: each row pair gives the 9x3 correct values of the curls of the 9 basis functions: (P,F,D) layout
00290   double basisCurls[] = {  
00291     0, -0.500000, 2.00000, 0, 0, 2.00000, -0.500000, 0, 2.00000, 0, \
00292     0.500000, 0, 0, 0, 0, 0.500000, 0, 0, -0.500000, 0.500000, 0, 0, \
00293     -0.500000, 0, 0.500000, 0, 0, 0.500000, -0.500000, 2.00000, 0.500000, \
00294     0, 2.00000, 0, 0, 2.00000, -0.500000, 0.500000, 0, -0.500000, 0, 0, \
00295     0, 0, 0, -0.500000, 0.500000, 0, 0, -0.500000, 0, 0.500000, 0, 0, 0, \
00296     0, 2.00000, 0, 0.500000, 2.00000, -0.500000, 0.500000, 2.00000, 0, 0, \
00297     0, 0, -0.500000, 0, 0.500000, -0.500000, 0, -0.500000, 0.500000, 0, \
00298     0, -0.500000, 0, 0.500000, 0, 0, 0, -0.500000, 0, 0, 0, 0, -0.500000, \
00299     0, 0, 0, 0.500000, 2.00000, 0, 0, 2.00000, 0.500000, 0, 2.00000, \
00300     -0.500000, 0.500000, 0, 0, -0.500000, 0, 0.500000, 0, 0, 0.500000, \
00301     -0.500000, 0, 0.500000, 0, 0, 0, 0, 0, -0.500000, 0.500000, 2.00000, \
00302     -0.500000, 0, 2.00000, 0, 0, 2.00000, -0.500000, 0.500000, 0, 0, \
00303     -0.500000, 0, 0.500000, 0, 0, 0, 0, 0, 0, 0.500000, 0, -0.500000, \
00304     0.500000, 0, 0, 0, 2.00000, 0, -0.500000, 2.00000, 0.500000, \
00305     -0.500000, 2.00000, -0.500000, 0.500000, 0, 0, -0.500000, 0, \
00306     0.500000, 0, 0, 0.125000, -0.250000, 2.00000, 0.125000, 0.250000, \
00307     2.00000, -0.375000, 0.250000, 2.00000, -0.125000, 0.250000, 0, \
00308     -0.125000, -0.250000, 0, 0.375000, -0.250000, 0, -0.500000, 0.500000, \
00309     0, 0, -0.500000, 0, 0.500000, 0, 0, 0.250000, -0.375000, 1.00000, \
00310     0.250000, 0.125000, 1.00000, -0.250000, 0.125000, 1.00000, -0.250000, \
00311     0.375000, 1.00000, -0.250000, -0.125000, 1.00000, 0.250000, \
00312     -0.125000, 1.00000, -0.500000, 0.500000, 0, 0, -0.500000, 0, \
00313     0.500000, 0, 0, 0.125000, -0.375000, 0, 0.125000, 0.125000, 0, \
00314     -0.375000, 0.125000, 0, -0.125000, 0.375000, 2.00000, -0.125000, \
00315     -0.125000, 2.00000, 0.375000, -0.125000, 2.00000, -0.500000, \
00316     0.500000, 0, 0, -0.500000, 0, 0.500000, 0, 0, 0.125000, -0.500000, \
00317     0.250000, 0.125000, 0, 0.250000, -0.375000, 0, 0.250000, -0.125000, \
00318     0.500000, 1.75000, -0.125000, 0, 1.75000, 0.375000, 0, 1.75000, \
00319     -0.500000, 0.500000, 0, 0, -0.500000, 0, 0.500000, 0, 0, 0, \
00320     -0.250000, 1.25000, 0, 0.250000, 1.25000, -0.500000, 0.250000, \
00321     1.25000, 0, 0.250000, 0.750000, 0, -0.250000, 0.750000, 0.500000, \
00322     -0.250000, 0.750000, -0.500000, 0.500000, 0, 0, -0.500000, 0, \
00323     0.500000, 0, 0, 0.250000, -0.250000, 1.00000, 0.250000, 0.250000, \
00324     1.00000, -0.250000, 0.250000, 1.00000, -0.250000, 0.250000, 1.00000, \
00325     -0.250000, -0.250000, 1.00000, 0.250000, -0.250000, 1.00000, \
00326     -0.500000, 0.500000, 0, 0, -0.500000, 0, 0.500000, 0, 0
00327   };
00328   
00329   try{
00330         
00331     // Dimensions for the output arrays:
00332     int numFields = wedgeBasis.getCardinality();
00333     int numPoints = wedgeNodes.dimension(0);
00334     int spaceDim  = wedgeBasis.getBaseCellTopology().getDimension();
00335     
00336     // Generic array for values and curls that will be properly sized before each call
00337     FieldContainer<double> vals;
00338     
00339     // Check VALUE of basis functions: resize vals to rank-3 container:
00340     vals.resize(numFields, numPoints, spaceDim);
00341     wedgeBasis.getValues(vals, wedgeNodes, OPERATOR_VALUE);
00342     for (int i = 0; i < numFields; i++) {
00343       for (int j = 0; j < numPoints; j++) {
00344         for (int k = 0; k < spaceDim; k++) {
00345           
00346           // compute offset for (P,F,D) data layout: indices are P->j, F->i, D->k
00347            int l = k + i * spaceDim + j * spaceDim * numFields;
00348            if (std::abs(vals(i,j,k) - basisValues[l]) > INTREPID_TOL) {
00349              errorFlag++;
00350              *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
00351 
00352              // Output the multi-index of the value where the error is:
00353              *outStream << " At multi-index { ";
00354              *outStream << i << " ";*outStream << j << " ";*outStream << k << " ";
00355              *outStream << "}  computed value: " << vals(i,j,k)
00356                << " but reference value: " << basisValues[l] << "\n";
00357             }
00358          }
00359       }
00360     }
00361 
00362     // Check CURL of basis function: resize vals to rank-3 container
00363     vals.resize(numFields, numPoints, spaceDim);
00364     wedgeBasis.getValues(vals, wedgeNodes, OPERATOR_CURL);
00365     for (int i = 0; i < numFields; i++) {
00366       for (int j = 0; j < numPoints; j++) {
00367         for (int k = 0; k < spaceDim; k++) {
00368           
00369           // compute offset for (P,F,D) data layout: indices are P->j, F->i, D->k
00370            int l = k + i * spaceDim + j * spaceDim * numFields;
00371            if (std::abs(vals(i,j,k) - basisCurls[l]) > INTREPID_TOL) {
00372              errorFlag++;
00373              *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
00374 
00375              // Output the multi-index of the value where the error is:
00376              *outStream << " At multi-index { ";
00377              *outStream << i << " ";*outStream << j << " ";*outStream << k << " ";
00378              *outStream << "}  computed curl component: " << vals(i,j,k)
00379                << " but reference curl component: " << basisCurls[l] << "\n";
00380             }
00381          }
00382       }
00383     }
00384     
00385    }    
00386   
00387   // Catch unexpected errors
00388   catch (std::logic_error err) {
00389     *outStream << err.what() << "\n\n";
00390     errorFlag = -1000;
00391   };
00392   
00393   if (errorFlag != 0)
00394     std::cout << "End Result: TEST FAILED\n";
00395   else
00396     std::cout << "End Result: TEST PASSED\n";
00397   
00398   // reset format state of std::cout
00399   std::cout.copyfmt(oldFormatState);
00400   
00401   return errorFlag;
00402 }