|
Intrepid
|
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_HDIV_QUAD_In_FEM.hpp" 00037 #include "Intrepid_PointTools.hpp" 00038 #include "Teuchos_oblackholestream.hpp" 00039 #include "Teuchos_RCP.hpp" 00040 #include "Teuchos_GlobalMPISession.hpp" 00041 00042 using namespace std; 00043 using namespace Intrepid; 00044 00045 #define INTREPID_TEST_COMMAND( S , throwCounter, nException ) \ 00046 { \ 00047 ++nException; \ 00048 try { \ 00049 S ; \ 00050 } \ 00051 catch (std::logic_error err) { \ 00052 ++throwCounter; \ 00053 *outStream << "Expected Error " << nException << " -------------------------------------------------------------\n"; \ 00054 *outStream << err.what() << '\n'; \ 00055 *outStream << "-------------------------------------------------------------------------------" << "\n\n"; \ 00056 }; \ 00057 } 00058 00059 int main(int argc, char *argv[]) { 00060 00061 Teuchos::GlobalMPISession mpiSession(&argc, &argv); 00062 00063 // This little trick lets us print to std::cout only if 00064 // a (dummy) command-line argument is provided. 00065 int iprint = argc - 1; 00066 Teuchos::RCP<std::ostream> outStream; 00067 Teuchos::oblackholestream bhs; // outputs nothing 00068 if (iprint > 0) 00069 outStream = Teuchos::rcp(&std::cout, false); 00070 else 00071 outStream = Teuchos::rcp(&bhs, false); 00072 00073 // Save the format state of the original std::cout. 00074 Teuchos::oblackholestream oldFormatState; 00075 oldFormatState.copyfmt(std::cout); 00076 00077 *outStream \ 00078 << "===============================================================================\n" \ 00079 << "| |\n" \ 00080 << "| Unit Test (Basis_HDIV_QUAD_In_FEM) |\n" \ 00081 << "| |\n" \ 00082 << "| 1) Conversion of Dof tags into Dof ordinals and back |\n" \ 00083 << "| 2) Basis values for VALUE and DIV operators |\n" \ 00084 << "| |\n" \ 00085 << "| Questions? Contact Pavel Bochev (pbboche@sandia.gov), |\n" \ 00086 << "| Denis Ridzal (dridzal@sandia.gov), |\n" \ 00087 << "| Kara Peterson (kjpeter@sandia.gov). |\n" \ 00088 << "| |\n" \ 00089 << "| Intrepid's website: http://trilinos.sandia.gov/packages/intrepid |\n" \ 00090 << "| Trilinos website: http://trilinos.sandia.gov |\n" \ 00091 << "| |\n" \ 00092 << "===============================================================================\n"\ 00093 << "| TEST 1: Basis creation, exception testing |\n"\ 00094 << "===============================================================================\n"; 00095 00096 // Define basis and error flag 00097 // get points first 00098 const int deg = 1; 00099 shards::CellTopology line(shards::getCellTopologyData< shards::Line<> >()); 00100 FieldContainer<double> closedPts(PointTools::getLatticeSize(line,deg),1); 00101 FieldContainer<double> openPts(PointTools::getLatticeSize(line,deg+1,1),1); 00102 PointTools::getLattice<double,FieldContainer<double> >(closedPts,line,deg); 00103 PointTools::getLattice<double,FieldContainer<double> >(openPts,line,deg+1,1); 00104 00105 Basis_HDIV_QUAD_In_FEM<double, FieldContainer<double> > quadBasis(deg,closedPts,openPts); 00106 int errorFlag = 0; 00107 00108 // Initialize throw counter for exception testing 00109 int nException = 0; 00110 int throwCounter = 0; 00111 00112 // Array with a lattice of 9 points on the quad 00113 FieldContainer<double> quadNodes(9, 2); 00114 quadNodes(0,0) = -1.0; quadNodes(0,1) = -1.0; 00115 quadNodes(1,0) = 0.0; quadNodes(1,1) = -1.0; 00116 quadNodes(2,0) = 1.0; quadNodes(2,1) = -1.0; 00117 quadNodes(3,0) = -1.0; quadNodes(3,1) = 0.0; 00118 quadNodes(4,0) = 0.0; quadNodes(4,1) = 0.0; 00119 quadNodes(5,0) = 1.0; quadNodes(5,1) = 0.0; 00120 quadNodes(6,0) = -1.0; quadNodes(6,1) = 1.0; 00121 quadNodes(7,0) = 0.0; quadNodes(7,1) = 1.0; 00122 quadNodes(8,0) = 1.0; quadNodes(8,1) = 1.0; 00123 00124 // Generic array for the output values; needs to be properly resized depending on the operator type 00125 FieldContainer<double> vals; 00126 00127 try{ 00128 00129 int spaceDim = quadBasis.getBaseCellTopology().getDimension(); 00130 00131 // exception #1: GRAD cannot be applied to HDIV functions 00132 // resize vals to rank-3 container with dimensions (num. basis functions, num. points, arbitrary) 00133 vals.resize(quadBasis.getCardinality(), quadNodes.dimension(0), spaceDim ); 00134 INTREPID_TEST_COMMAND( quadBasis.getValues(vals, quadNodes, OPERATOR_GRAD), throwCounter, nException ); 00135 00136 // exception #2: CURL cannot be applied to HDIV functions 00137 INTREPID_TEST_COMMAND( quadBasis.getValues(vals, quadNodes, OPERATOR_CURL), throwCounter, nException ); 00138 00139 // Exceptions 3-7: all bf tags/bf Ids below are wrong and should cause getDofOrdinal() and 00140 // getDofTag() to access invalid array elements thereby causing bounds check exception 00141 // exception #3 00142 INTREPID_TEST_COMMAND( quadBasis.getDofOrdinal(3,0,0), throwCounter, nException ); 00143 // exception #4 00144 INTREPID_TEST_COMMAND( quadBasis.getDofOrdinal(1,1,1), throwCounter, nException ); 00145 // exception #5 00146 INTREPID_TEST_COMMAND( quadBasis.getDofOrdinal(0,4,1), throwCounter, nException ); 00147 // exception #6 00148 INTREPID_TEST_COMMAND( quadBasis.getDofTag(12), throwCounter, nException ); 00149 // exception #7 00150 INTREPID_TEST_COMMAND( quadBasis.getDofTag(-1), throwCounter, nException ); 00151 00152 #ifdef HAVE_INTREPID_DEBUG 00153 // Exceptions 8- test exception handling with incorrectly dimensioned input/output arrays 00154 // exception #8: input points array must be of rank-2 00155 FieldContainer<double> badPoints1(4, 5, 3); 00156 INTREPID_TEST_COMMAND( quadBasis.getValues(vals, badPoints1, OPERATOR_VALUE), throwCounter, nException ); 00157 00158 // exception #9 dimension 1 in the input point array must equal space dimension of the cell 00159 FieldContainer<double> badPoints2(4, spaceDim + 1); 00160 INTREPID_TEST_COMMAND( quadBasis.getValues(vals, badPoints2, OPERATOR_VALUE), throwCounter, nException ); 00161 00162 // exception #10 output values must be of rank-3 for OPERATOR_VALUE 00163 FieldContainer<double> badVals1(4, 5); 00164 INTREPID_TEST_COMMAND( quadBasis.getValues(badVals1, quadNodes, OPERATOR_VALUE), throwCounter, nException ); 00165 00166 // exception #11 output values must be of rank-2 for OPERATOR_DIV 00167 FieldContainer<double> badVals2(4, 5, spaceDim); 00168 INTREPID_TEST_COMMAND( quadBasis.getValues(badVals2, quadNodes, OPERATOR_DIV), throwCounter, nException ); 00169 00170 // exception #12 incorrect 0th dimension of output array (must equal number of basis functions) 00171 FieldContainer<double> badVals3(quadBasis.getCardinality() + 1, quadNodes.dimension(0), spaceDim); 00172 INTREPID_TEST_COMMAND( quadBasis.getValues(badVals3, quadNodes, OPERATOR_VALUE), throwCounter, nException ); 00173 00174 // exception #13 incorrect 0th dimension of output array (must equal number of basis functions) 00175 FieldContainer<double> badVals4(quadBasis.getCardinality() + 1, quadNodes.dimension(0)); 00176 INTREPID_TEST_COMMAND( quadBasis.getValues(badVals4, quadNodes, OPERATOR_DIV), throwCounter, nException ); 00177 00178 // exception #14 incorrect 1st dimension of output array (must equal number of points) 00179 FieldContainer<double> badVals5(quadBasis.getCardinality(), quadNodes.dimension(0) + 1, spaceDim); 00180 INTREPID_TEST_COMMAND( quadBasis.getValues(badVals5, quadNodes, OPERATOR_VALUE), throwCounter, nException ); 00181 00182 // exception #15 incorrect 1st dimension of output array (must equal number of points) 00183 FieldContainer<double> badVals6(quadBasis.getCardinality(), quadNodes.dimension(0) + 1); 00184 INTREPID_TEST_COMMAND( quadBasis.getValues(badVals6, quadNodes, OPERATOR_DIV), throwCounter, nException ); 00185 00186 // exception #16: incorrect 2nd dimension of output array (must equal the space dimension) 00187 FieldContainer<double> badVals7(quadBasis.getCardinality(), quadNodes.dimension(0), spaceDim + 1); 00188 INTREPID_TEST_COMMAND( quadBasis.getValues(badVals7, quadNodes, OPERATOR_VALUE), throwCounter, nException ); 00189 #endif 00190 00191 } 00192 catch (std::logic_error err) { 00193 *outStream << "UNEXPECTED ERROR !!! ----------------------------------------------------------\n"; 00194 *outStream << err.what() << '\n'; 00195 *outStream << "-------------------------------------------------------------------------------" << "\n\n"; 00196 errorFlag = -1000; 00197 }; 00198 00199 // Check if number of thrown exceptions matches the one we expect 00200 if (throwCounter != nException) { 00201 errorFlag++; 00202 *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n"; 00203 } 00204 00205 *outStream \ 00206 << "\n" 00207 << "===============================================================================\n"\ 00208 << "| TEST 2: correctness of tag to enum and enum to tag lookups |\n"\ 00209 << "===============================================================================\n"; 00210 00211 try{ 00212 std::vector<std::vector<int> > allTags = quadBasis.getAllDofTags(); 00213 00214 // Loop over all tags, lookup the associated dof enumeration and then lookup the tag again 00215 for (unsigned i = 0; i < allTags.size(); i++) { 00216 int bfOrd = quadBasis.getDofOrdinal(allTags[i][0], allTags[i][1], allTags[i][2]); 00217 00218 std::vector<int> myTag = quadBasis.getDofTag(bfOrd); 00219 if( !( (myTag[0] == allTags[i][0]) && 00220 (myTag[1] == allTags[i][1]) && 00221 (myTag[2] == allTags[i][2]) && 00222 (myTag[3] == allTags[i][3]) ) ) { 00223 errorFlag++; 00224 *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n"; 00225 *outStream << " getDofOrdinal( {" 00226 << allTags[i][0] << ", " 00227 << allTags[i][1] << ", " 00228 << allTags[i][2] << ", " 00229 << allTags[i][3] << "}) = " << bfOrd <<" but \n"; 00230 *outStream << " getDofTag(" << bfOrd << ") = { " 00231 << myTag[0] << ", " 00232 << myTag[1] << ", " 00233 << myTag[2] << ", " 00234 << myTag[3] << "}\n"; 00235 } 00236 } 00237 00238 // Now do the same but loop over basis functions 00239 for( int bfOrd = 0; bfOrd < quadBasis.getCardinality(); bfOrd++) { 00240 std::vector<int> myTag = quadBasis.getDofTag(bfOrd); 00241 int myBfOrd = quadBasis.getDofOrdinal(myTag[0], myTag[1], myTag[2]); 00242 if( bfOrd != myBfOrd) { 00243 errorFlag++; 00244 *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n"; 00245 *outStream << " getDofTag(" << bfOrd << ") = { " 00246 << myTag[0] << ", " 00247 << myTag[1] << ", " 00248 << myTag[2] << ", " 00249 << myTag[3] << "} but getDofOrdinal({" 00250 << myTag[0] << ", " 00251 << myTag[1] << ", " 00252 << myTag[2] << ", " 00253 << myTag[3] << "} ) = " << myBfOrd << "\n"; 00254 } 00255 } 00256 } 00257 catch (std::logic_error err){ 00258 *outStream << err.what() << "\n\n"; 00259 errorFlag = -1000; 00260 }; 00261 00262 *outStream \ 00263 << "\n" 00264 << "===============================================================================\n"\ 00265 << "| TEST 3: correctness of basis function values |\n"\ 00266 << "===============================================================================\n"; 00267 00268 outStream -> precision(20); 00269 00270 // VALUE: 00271 double basisValues[] = { 00272 // first bf, first row of points 00273 1.0, 0.0, 0.5, 0.0, 0.0, 0.0, 00274 // first bf, second row of points 00275 1.0, 0.0, 0.5, 0.0, 0.0, 0.0, 00276 // first bf, third row of points 00277 1.0, 0.0, 0.5, 0.0, 0.0, 0.0, 00278 // second bf, first row of points 00279 0.0, 0.0, 0.5, 0.0, 1.0, 0.0, 00280 // second bf, second row of points 00281 0.0, 0.0, 0.5, 0.0, 1.0, 0.0, 00282 // second bf, third row of points 00283 0.0, 0.0, 0.5, 0.0, 1.0, 0.0, 00284 // third bf, first row of points 00285 0.0, 1.0, 0.0, 1.0, 0.0, 1.0, 00286 // third bf, second row of points 00287 0.0, 0.5, 0.0, 0.5, 0.0, 0.5, 00288 // third bf, third row of points 00289 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 00290 // fourth bf, first row of points 00291 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 00292 // fourth bf, second row of points 00293 0.0, 0.5, 0.0, 0.5, 0.0, 0.5, 00294 // fourth bf, third row of points 00295 0.0, 1.0, 0.0, 1.0, 0.0, 1.0 00296 }; 00297 00298 // DIV: each row gives the 6 correct values of the divergence of the 6 basis functions: (P,F) layout 00299 double basisDivs[] = { 00300 // bf0 has -0.5 divergence 00301 -0.5, -0.5, -0.5, -0.5, -0.5, -0.5, -0.5, -0.5, -0.5, 00302 // bf1 has 0.5 divergencece 00303 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 00304 // bf2 has -0.5 divergence 00305 -0.5, -0.5, -0.5, -0.5, -0.5, -0.5, -0.5, -0.5, -0.5, 00306 // bf3 has 0.5 divergence 00307 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 00308 }; 00309 00310 try{ 00311 00312 // Dimensions for the output arrays: 00313 int numPoints = quadNodes.dimension(0); 00314 int numFields = quadBasis.getCardinality(); 00315 int spaceDim = quadBasis.getBaseCellTopology().getDimension(); 00316 00317 // Generic array for values and curls that will be properly sized before each call 00318 FieldContainer<double> vals; 00319 00320 // Check VALUE of basis functions: resize vals to rank-3 container: 00321 vals.resize(numFields, numPoints, spaceDim); 00322 quadBasis.getValues(vals, quadNodes, OPERATOR_VALUE); 00323 for (int i = 0; i < numFields; i++) { 00324 for (int j = 0; j < numPoints; j++) { 00325 for (int k = 0; k < spaceDim; k++) { 00326 // compute offset for (F,P,D) data layout: indices are F->i, P-> j, D->k 00327 int l = i * numPoints * spaceDim + j * spaceDim + k; 00328 if (std::abs(vals(i,j,k) - basisValues[l]) > INTREPID_TOL) { 00329 errorFlag++; 00330 *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n"; 00331 00332 // Output the multi-index of the value where the error is: 00333 *outStream << " At multi-index { "; 00334 *outStream << i << " ";*outStream << j << " ";*outStream << k << " "; 00335 *outStream << "} computed value: " << vals(i,j,k) 00336 << " but reference value: " << basisValues[l] << "\n"; 00337 } 00338 } 00339 } 00340 } 00341 00342 // Check DIV of basis function: resize vals to rank-2 container 00343 vals.resize(numFields, numPoints); 00344 quadBasis.getValues(vals, quadNodes, OPERATOR_DIV); 00345 for (int i = 0; i < numFields; i++) { 00346 for (int j = 0; j < numPoints; j++) { 00347 int l = j + i * numPoints; 00348 if (std::abs(vals(i,j) - basisDivs[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 << " "; 00355 *outStream << "} computed divergence component: " << vals(i,j) 00356 << " but reference divergence component: " << basisDivs[l] << "\n"; 00357 } 00358 } 00359 } 00360 00361 } 00362 00363 // Catch unexpected errors 00364 catch (std::logic_error err) { 00365 *outStream << err.what() << "\n\n"; 00366 errorFlag = -1000; 00367 }; 00368 00369 if (errorFlag != 0) 00370 std::cout << "End Result: TEST FAILED\n"; 00371 else 00372 std::cout << "End Result: TEST PASSED\n"; 00373 00374 // reset format state of std::cout 00375 std::cout.copyfmt(oldFormatState); 00376 00377 return errorFlag; 00378 }
1.7.4