|
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_HEX_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_HEX_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 const int deg = 1; 00098 shards::CellTopology line(shards::getCellTopologyData< shards::Line<> >()); 00099 FieldContainer<double> closedPts(PointTools::getLatticeSize(line,deg),1); 00100 FieldContainer<double> openPts(PointTools::getLatticeSize(line,deg+1,1),1); 00101 PointTools::getLattice<double,FieldContainer<double> >(closedPts,line,deg); 00102 PointTools::getLattice<double,FieldContainer<double> >(openPts,line,deg+1,1); 00103 00104 Basis_HDIV_HEX_In_FEM<double, FieldContainer<double> > hexBasis(deg,closedPts,openPts); 00105 00106 int errorFlag = 0; 00107 00108 // Initialize throw counter for exception testing 00109 int nException = 0; 00110 int throwCounter = 0; 00111 00112 // compute values at vertices: there are 8 of them 00113 FieldContainer<double> hexNodes(8, 3); 00114 hexNodes(0,0) = -1.0; hexNodes(0,1) = -1.0; hexNodes(0,2) = -1.0; 00115 hexNodes(1,0) = 1.0; hexNodes(1,1) = -1.0; hexNodes(1,2) = -1.0; 00116 hexNodes(2,0) = -1.0; hexNodes(2,1) = 1.0; hexNodes(2,2) = -1.0; 00117 hexNodes(3,0) = 1.0; hexNodes(3,1) = 1.0; hexNodes(3,2) = -1.0; 00118 hexNodes(4,0) = -1.0; hexNodes(4,1) = -1.0; hexNodes(4,2) = 1.0; 00119 hexNodes(5,0) = 1.0; hexNodes(5,1) = -1.0; hexNodes(5,2) = 1.0; 00120 hexNodes(6,0) = -1.0; hexNodes(6,1) = 1.0; hexNodes(6,2) = 1.0; 00121 hexNodes(7,0) = 1.0; hexNodes(7,1) = 1.0; hexNodes(7,2) = 1.0; 00122 00123 00124 00125 // Generic array for the output values; needs to be properly resized depending on the operator type 00126 FieldContainer<double> vals; 00127 00128 try{ 00129 // exception #1: GRAD cannot be applied to HDIV functions 00130 // resize vals to rank-3 container with dimensions (num. basis functions, num. points, arbitrary) 00131 vals.resize(hexBasis.getCardinality(), hexNodes.dimension(0), 3 ); 00132 INTREPID_TEST_COMMAND( hexBasis.getValues(vals, hexNodes, OPERATOR_GRAD), throwCounter, nException ); 00133 00134 // exception #2: CURL cannot be applied to HDIV functions 00135 INTREPID_TEST_COMMAND( hexBasis.getValues(vals, hexNodes, OPERATOR_CURL), throwCounter, nException ); 00136 00137 // Exceptions 3-7: all bf tags/bf Ids below are wrong and should cause getDofOrdinal() and 00138 // getDofTag() to access invalid array elements thereby causing bounds check exception 00139 // exception #3 00140 INTREPID_TEST_COMMAND( hexBasis.getDofOrdinal(3,0,0), throwCounter, nException ); 00141 // exception #4 00142 INTREPID_TEST_COMMAND( hexBasis.getDofOrdinal(1,1,1), throwCounter, nException ); 00143 // exception #5 00144 INTREPID_TEST_COMMAND( hexBasis.getDofOrdinal(0,4,1), throwCounter, nException ); 00145 // exception #6 00146 INTREPID_TEST_COMMAND( hexBasis.getDofTag(12), throwCounter, nException ); 00147 // exception #7 00148 INTREPID_TEST_COMMAND( hexBasis.getDofTag(-1), throwCounter, nException ); 00149 00150 #ifdef HAVE_INTREPID_DEBUG 00151 // Exceptions 8- test exception handling with incorrectly dimensioned input/output arrays 00152 // exception #8: input points array must be of rank-2 00153 FieldContainer<double> badPoints1(4, 5, 3); 00154 INTREPID_TEST_COMMAND( hexBasis.getValues(vals, badPoints1, OPERATOR_VALUE), throwCounter, nException ); 00155 00156 // exception #9 dimension 1 in the input point array must equal space dimension of the cell 00157 FieldContainer<double> badPoints2(4, 2); 00158 INTREPID_TEST_COMMAND( hexBasis.getValues(vals, badPoints2, OPERATOR_VALUE), throwCounter, nException ); 00159 00160 // exception #10 output values must be of rank-3 for OPERATOR_VALUE 00161 FieldContainer<double> badVals1(4, 3); 00162 INTREPID_TEST_COMMAND( hexBasis.getValues(badVals1, hexNodes, OPERATOR_VALUE), throwCounter, nException ); 00163 00164 // exception #11 output values must be of rank-2 for OPERATOR_DIV 00165 FieldContainer<double> badVals2(4, 3, 3); 00166 INTREPID_TEST_COMMAND( hexBasis.getValues(badVals2, hexNodes, OPERATOR_DIV), throwCounter, nException ); 00167 00168 // exception #12 incorrect 0th dimension of output array (must equal number of basis functions) 00169 FieldContainer<double> badVals3(hexBasis.getCardinality() + 1, hexNodes.dimension(0), 3); 00170 INTREPID_TEST_COMMAND( hexBasis.getValues(badVals3, hexNodes, OPERATOR_VALUE), throwCounter, nException ); 00171 00172 // exception #13 incorrect 0th dimension of output array (must equal number of basis functions) 00173 FieldContainer<double> badVals4(hexBasis.getCardinality() + 1, hexNodes.dimension(0)); 00174 INTREPID_TEST_COMMAND( hexBasis.getValues(badVals4, hexNodes, OPERATOR_DIV), throwCounter, nException ); 00175 00176 // exception #14 incorrect 1st dimension of output array (must equal number of points) 00177 FieldContainer<double> badVals5(hexBasis.getCardinality(), hexNodes.dimension(0) + 1, 3); 00178 INTREPID_TEST_COMMAND( hexBasis.getValues(badVals5, hexNodes, OPERATOR_VALUE), throwCounter, nException ); 00179 00180 // exception #15 incorrect 1st dimension of output array (must equal number of points) 00181 FieldContainer<double> badVals6(hexBasis.getCardinality(), hexNodes.dimension(0) + 1); 00182 INTREPID_TEST_COMMAND( hexBasis.getValues(badVals6, hexNodes, OPERATOR_DIV), throwCounter, nException ); 00183 00184 // exception #16: incorrect 2nd dimension of output array (must equal the space dimension) 00185 FieldContainer<double> badVals7(hexBasis.getCardinality(), hexNodes.dimension(0), 4); 00186 INTREPID_TEST_COMMAND( hexBasis.getValues(badVals7, hexNodes, OPERATOR_VALUE), throwCounter, nException ); 00187 #endif 00188 00189 } 00190 catch (std::logic_error err) { 00191 *outStream << "UNEXPECTED ERROR !!! ----------------------------------------------------------\n"; 00192 *outStream << err.what() << '\n'; 00193 *outStream << "-------------------------------------------------------------------------------" << "\n\n"; 00194 errorFlag = -1000; 00195 }; 00196 00197 // Check if number of thrown exceptions matches the one we expect 00198 if (throwCounter != nException) { 00199 errorFlag++; 00200 *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n"; 00201 } 00202 00203 *outStream \ 00204 << "\n" 00205 << "===============================================================================\n"\ 00206 << "| TEST 2: correctness of tag to enum and enum to tag lookups |\n"\ 00207 << "===============================================================================\n"; 00208 00209 try{ 00210 std::vector<std::vector<int> > allTags = hexBasis.getAllDofTags(); 00211 00212 // Loop over all tags, lookup the associated dof enumeration and then lookup the tag again 00213 for (unsigned i = 0; i < allTags.size(); i++) { 00214 int bfOrd = hexBasis.getDofOrdinal(allTags[i][0], allTags[i][1], allTags[i][2]); 00215 00216 std::vector<int> myTag = hexBasis.getDofTag(bfOrd); 00217 if( !( (myTag[0] == allTags[i][0]) && 00218 (myTag[1] == allTags[i][1]) && 00219 (myTag[2] == allTags[i][2]) && 00220 (myTag[3] == allTags[i][3]) ) ) { 00221 errorFlag++; 00222 *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n"; 00223 *outStream << " getDofOrdinal( {" 00224 << allTags[i][0] << ", " 00225 << allTags[i][1] << ", " 00226 << allTags[i][2] << ", " 00227 << allTags[i][3] << "}) = " << bfOrd <<" but \n"; 00228 *outStream << " getDofTag(" << bfOrd << ") = { " 00229 << myTag[0] << ", " 00230 << myTag[1] << ", " 00231 << myTag[2] << ", " 00232 << myTag[3] << "}\n"; 00233 } 00234 } 00235 00236 // Now do the same but loop over basis functions 00237 for( int bfOrd = 0; bfOrd < hexBasis.getCardinality(); bfOrd++) { 00238 std::vector<int> myTag = hexBasis.getDofTag(bfOrd); 00239 int myBfOrd = hexBasis.getDofOrdinal(myTag[0], myTag[1], myTag[2]); 00240 if( bfOrd != myBfOrd) { 00241 errorFlag++; 00242 *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n"; 00243 *outStream << " getDofTag(" << bfOrd << ") = { " 00244 << myTag[0] << ", " 00245 << myTag[1] << ", " 00246 << myTag[2] << ", " 00247 << myTag[3] << "} but getDofOrdinal({" 00248 << myTag[0] << ", " 00249 << myTag[1] << ", " 00250 << myTag[2] << ", " 00251 << myTag[3] << "} ) = " << myBfOrd << "\n"; 00252 } 00253 } 00254 } 00255 catch (std::logic_error err){ 00256 *outStream << err.what() << "\n\n"; 00257 errorFlag = -1000; 00258 }; 00259 00260 *outStream \ 00261 << "\n" 00262 << "===============================================================================\n"\ 00263 << "| TEST 3: correctness of basis function values |\n"\ 00264 << "===============================================================================\n"; 00265 00266 outStream -> precision(20); 00267 00268 // VALUE: Each row pair gives the 6x3 correct basis set values at an evaluation point: (P,F,D) layout 00269 double basisValues[] = { 00270 // basis function 0 (in from x==-1 plane, y and z are constant functions) 00271 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 00272 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 00273 // basis function 1 (out from x==1 plane, y and z are constant functions 00274 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 00275 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 00276 // basis function 2 (in from y==-1 plane, x and z are constant functions 00277 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 00278 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 00279 // basis function 3 (out from y == 1 plane, x and z are constant function 00280 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 00281 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 00282 // basis function 4 (in from z == -1 plane, x and y are constant function 00283 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 00284 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 00285 // basis function 4 (out from z == 1 plane, x and y are constant function 00286 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 00287 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1 00288 }; 00289 00290 // DIV: each row gives the 6 correct values of the divergence of the 6 basis functions: (P,F) layout 00291 double basisDivs[] = { 00292 -0.5, -0.5, -0.5, -0.5, -0.5, -0.5, -0.5, -0.5, 00293 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 00294 -0.5, -0.5, -0.5, -0.5, -0.5, -0.5, -0.5, -0.5, 00295 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 00296 -0.5, -0.5, -0.5, -0.5, -0.5, -0.5, -0.5, -0.5, 00297 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5 00298 }; 00299 00300 try{ 00301 00302 // Dimensions for the output arrays: 00303 int numPoints = hexNodes.dimension(0); 00304 int numFields = hexBasis.getCardinality(); 00305 int spaceDim = hexBasis.getBaseCellTopology().getDimension(); 00306 00307 // Generic array for values and curls that will be properly sized before each call 00308 FieldContainer<double> vals; 00309 00310 // Check VALUE of basis functions: resize vals to rank-3 container: 00311 vals.resize(numFields, numPoints, spaceDim); 00312 hexBasis.getValues(vals, hexNodes, OPERATOR_VALUE); 00313 for (int i = 0; i < numFields; i++) { 00314 for (int j = 0; j < numPoints; j++) { 00315 for (int k = 0; k < spaceDim; k++) { 00316 int l = k + i * numPoints * spaceDim + j * spaceDim; 00317 if (std::abs(vals(i,j,k) - basisValues[l]) > INTREPID_TOL) { 00318 errorFlag++; 00319 *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n"; 00320 00321 // Output the multi-index of the value where the error is: 00322 *outStream << " At multi-index { "; 00323 *outStream << i << " ";*outStream << j << " ";*outStream << k << " "; 00324 *outStream << "} computed value: " << vals(i,j,k) 00325 << " but reference value: " << basisValues[l] << "\n"; 00326 } 00327 } 00328 } 00329 } 00330 00331 // Check DIV of basis function: resize vals to rank-2 container 00332 vals.resize(numFields, numPoints); 00333 hexBasis.getValues(vals, hexNodes, OPERATOR_DIV); 00334 for (int i = 0; i < numFields; i++) { 00335 for (int j = 0; j < numPoints; j++) { 00336 int l = i * numPoints + j; 00337 if (std::abs(vals(i,j) - basisDivs[l]) > INTREPID_TOL) { 00338 errorFlag++; 00339 *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n"; 00340 00341 // Output the multi-index of the value where the error is: 00342 *outStream << " At multi-index { "; 00343 *outStream << i << " ";*outStream << j << " "; 00344 *outStream << "} computed divergence component: " << vals(i,j) 00345 << " but reference divergence component: " << basisDivs[l] << "\n"; 00346 } 00347 } 00348 } 00349 00350 } 00351 00352 // Catch unexpected errors 00353 catch (std::logic_error err) { 00354 *outStream << err.what() << "\n\n"; 00355 errorFlag = -1000; 00356 }; 00357 00358 if (errorFlag != 0) 00359 std::cout << "End Result: TEST FAILED\n"; 00360 else 00361 std::cout << "End Result: TEST PASSED\n"; 00362 00363 // reset format state of std::cout 00364 std::cout.copyfmt(oldFormatState); 00365 00366 return errorFlag; 00367 }
1.7.4