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Intrepid
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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 // 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 00032 // PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF 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 00049 #include "Intrepid_FieldContainer.hpp" 00050 #include "Intrepid_HGRAD_LINE_Cn_FEM_JACOBI.hpp" 00051 #include "Intrepid_DefaultCubatureFactory.hpp" 00052 #include "Intrepid_ArrayTools.hpp" 00053 #include "Intrepid_FunctionSpaceTools.hpp" 00054 #include "Teuchos_oblackholestream.hpp" 00055 #include "Teuchos_RCP.hpp" 00056 #include "Teuchos_GlobalMPISession.hpp" 00057 00058 using namespace std; 00059 using namespace Intrepid; 00060 00061 #define INTREPID_TEST_COMMAND( S , throwCounter, nException ) \ 00062 { \ 00063 ++nException; \ 00064 try { \ 00065 S ; \ 00066 } \ 00067 catch (std::logic_error err) { \ 00068 ++throwCounter; \ 00069 *outStream << "Expected Error " << nException << " -------------------------------------------------------------\n"; \ 00070 *outStream << err.what() << '\n'; \ 00071 *outStream << "-------------------------------------------------------------------------------" << "\n\n"; \ 00072 }; \ 00073 } 00074 00075 00076 int main(int argc, char *argv[]) { 00077 00078 Teuchos::GlobalMPISession mpiSession(&argc, &argv); 00079 00080 // This little trick lets us print to std::cout only if 00081 // a (dummy) command-line argument is provided. 00082 int iprint = argc - 1; 00083 Teuchos::RCP<std::ostream> outStream; 00084 Teuchos::oblackholestream bhs; // outputs nothing 00085 if (iprint > 0) 00086 outStream = Teuchos::rcp(&std::cout, false); 00087 else 00088 outStream = Teuchos::rcp(&bhs, false); 00089 00090 // Save the format state of the original std::cout. 00091 Teuchos::oblackholestream oldFormatState; 00092 oldFormatState.copyfmt(std::cout); 00093 00094 *outStream \ 00095 << "===============================================================================\n" \ 00096 << "| |\n" \ 00097 << "| Unit Test (Basis_HGRAD_LINE_Cn_FEM_JACOBI) |\n" \ 00098 << "| |\n" \ 00099 << "| 1) Conversion of Dof tags into Dof ordinals and back |\n" \ 00100 << "| 2) Basis values for VALUE, GRAD, CURL, and Dk operators |\n" \ 00101 << "| |\n" \ 00102 << "| Questions? Contact Pavel Bochev (pbboche@sandia.gov), |\n" \ 00103 << "| Denis Ridzal (dridzal@sandia.gov), |\n" \ 00104 << "| Kara Peterson (kjpeter@sandia.gov). |\n" \ 00105 << "| |\n" \ 00106 << "| Intrepid's website: http://trilinos.sandia.gov/packages/intrepid |\n" \ 00107 << "| Trilinos website: http://trilinos.sandia.gov |\n" \ 00108 << "| |\n" \ 00109 << "===============================================================================\n"\ 00110 << "| TEST 1: Basis creation, exception testing |\n"\ 00111 << "===============================================================================\n"; 00112 00113 00114 // Define basis and error flag 00115 double alpha = 0.0, beta = 0.0; 00116 Basis_HGRAD_LINE_Cn_FEM_JACOBI<double, FieldContainer<double> > lineBasis(5, alpha, beta); 00117 int errorFlag = 0; 00118 00119 // Initialize throw counter for exception testing 00120 int nException = 0; 00121 int throwCounter = 0; 00122 00123 // Define array containing vertices of the reference Line and a few other points 00124 int numIntervals = 100; 00125 FieldContainer<double> lineNodes(numIntervals+1, 1); 00126 for (int i=0; i<numIntervals+1; i++) { 00127 lineNodes(i,0) = -1.0+(2.0*(double)i)/(double)numIntervals; 00128 } 00129 00130 // Generic array for the output values; needs to be properly resized depending on the operator type 00131 FieldContainer<double> vals; 00132 00133 try{ 00134 // Exceptions 1-5: all bf tags/bf Ids below are wrong and should cause getDofOrdinal() and 00135 // getDofTag() to access invalid array elements thereby causing bounds check exception 00136 // exception #1 00137 INTREPID_TEST_COMMAND( lineBasis.getDofOrdinal(2,0,0), throwCounter, nException ); 00138 // exception #2 00139 INTREPID_TEST_COMMAND( lineBasis.getDofOrdinal(1,1,1), throwCounter, nException ); 00140 // exception #3 00141 INTREPID_TEST_COMMAND( lineBasis.getDofOrdinal(1,0,7), throwCounter, nException ); 00142 // not an exception 00143 INTREPID_TEST_COMMAND( lineBasis.getDofOrdinal(1,0,5), throwCounter, nException ); --nException; 00144 // exception #4 00145 INTREPID_TEST_COMMAND( lineBasis.getDofTag(6), throwCounter, nException ); 00146 // exception #5 00147 INTREPID_TEST_COMMAND( lineBasis.getDofTag(-1), throwCounter, nException ); 00148 // not an exception 00149 INTREPID_TEST_COMMAND( lineBasis.getDofTag(5), throwCounter, nException ); --nException; 00150 #ifdef HAVE_INTREPID_DEBUG 00151 // Exceptions 6-16 test exception handling with incorrectly dimensioned input/output arrays 00152 // exception #6: input points array must be of rank-2 00153 FieldContainer<double> badPoints1(4, 5, 3); 00154 INTREPID_TEST_COMMAND( lineBasis.getValues(vals, badPoints1, OPERATOR_VALUE), throwCounter, nException ); 00155 00156 // exception #7: dimension 1 in the input point array must equal space dimension of the cell 00157 FieldContainer<double> badPoints2(4, 3); 00158 INTREPID_TEST_COMMAND( lineBasis.getValues(vals, badPoints2, OPERATOR_VALUE), throwCounter, nException ); 00159 00160 // exception #8: output values must be of rank-2 for OPERATOR_VALUE 00161 FieldContainer<double> badVals1(4, 3, 1); 00162 INTREPID_TEST_COMMAND( lineBasis.getValues(badVals1, lineNodes, OPERATOR_VALUE), throwCounter, nException ); 00163 00164 // exception #9: output values must be of rank-3 for OPERATOR_GRAD 00165 FieldContainer<double> badVals2(4, 3); 00166 INTREPID_TEST_COMMAND( lineBasis.getValues(badVals2, lineNodes, OPERATOR_GRAD), throwCounter, nException ); 00167 00168 // exception #10: output values must be of rank-3 for OPERATOR_CURL 00169 INTREPID_TEST_COMMAND( lineBasis.getValues(badVals2, lineNodes, OPERATOR_CURL), throwCounter, nException ); 00170 00171 // exception #11: output values must be of rank-2 for OPERATOR_DIV 00172 INTREPID_TEST_COMMAND( lineBasis.getValues(badVals2, lineNodes, OPERATOR_DIV), throwCounter, nException ); 00173 00174 // exception #12: output values must be of rank-2 for OPERATOR_D1 00175 INTREPID_TEST_COMMAND( lineBasis.getValues(badVals2, lineNodes, OPERATOR_D1), throwCounter, nException ); 00176 00177 // exception #13: incorrect 0th dimension of output array (must equal number of basis functions) 00178 FieldContainer<double> badVals3(lineBasis.getCardinality() + 1, lineNodes.dimension(0)); 00179 INTREPID_TEST_COMMAND( lineBasis.getValues(badVals3, lineNodes, OPERATOR_VALUE), throwCounter, nException ); 00180 00181 // exception #14: incorrect 1st dimension of output array (must equal number of points) 00182 FieldContainer<double> badVals4(lineBasis.getCardinality(), lineNodes.dimension(0) + 1); 00183 INTREPID_TEST_COMMAND( lineBasis.getValues(badVals4, lineNodes, OPERATOR_VALUE), throwCounter, nException ); 00184 00185 // exception #15: incorrect 2nd dimension of output array (must equal spatial dimension) 00186 FieldContainer<double> badVals5(lineBasis.getCardinality(), lineNodes.dimension(0), 2); 00187 INTREPID_TEST_COMMAND( lineBasis.getValues(badVals5, lineNodes, OPERATOR_GRAD), throwCounter, nException ); 00188 00189 // not an exception 00190 FieldContainer<double> goodVals2(lineBasis.getCardinality(), lineNodes.dimension(0)); 00191 INTREPID_TEST_COMMAND( lineBasis.getValues(goodVals2, lineNodes, OPERATOR_VALUE), throwCounter, nException ); --nException; 00192 #endif 00193 00194 } 00195 catch (std::logic_error err) { 00196 *outStream << "UNEXPECTED ERROR !!! ----------------------------------------------------------\n"; 00197 *outStream << err.what() << '\n'; 00198 *outStream << "-------------------------------------------------------------------------------" << "\n\n"; 00199 errorFlag = -1000; 00200 }; 00201 00202 // Check if number of thrown exceptions matches the one we expect 00203 if (throwCounter != nException) { 00204 errorFlag++; 00205 *outStream << std::setw(70) << "FAILURE! Incorrect number of exceptions." << "\n"; 00206 } 00207 00208 00209 *outStream \ 00210 << "\n" 00211 << "===============================================================================\n"\ 00212 << "| TEST 3: orthogonality of basis functions |\n"\ 00213 << "===============================================================================\n"; 00214 00215 outStream -> precision(20); 00216 00217 try { 00218 00219 // Check orthogonality property for Legendre polynomials. 00220 int maxorder = 10; 00221 00222 DefaultCubatureFactory<double> cubFactory; // create factory 00223 shards::CellTopology line(shards::getCellTopologyData< shards::Line<> >()); // create cell topology 00224 for (int ordi=0; ordi < maxorder; ordi++) { 00225 //create left basis 00226 Teuchos::RCP<Basis<double,FieldContainer<double> > > lineBasisLeft = 00227 Teuchos::rcp(new Basis_HGRAD_LINE_Cn_FEM_JACOBI<double,FieldContainer<double> >(ordi) ); 00228 00229 for (int ordj=0; ordj < maxorder; ordj++) { 00230 00231 //create right basis 00232 Teuchos::RCP<Basis<double,FieldContainer<double> > > lineBasisRight = 00233 Teuchos::rcp(new Basis_HGRAD_LINE_Cn_FEM_JACOBI<double,FieldContainer<double> >(ordj) ); 00234 00235 // get cubature points and weights 00236 Teuchos::RCP<Cubature<double> > lineCub = cubFactory.create(line, ordi+ordj); 00237 int numPoints = lineCub->getNumPoints(); 00238 FieldContainer<double> cubPoints (numPoints, lineCub->getDimension()); 00239 FieldContainer<double> cubWeights(numPoints); 00240 FieldContainer<double> cubWeightsC(1, numPoints); 00241 lineCub->getCubature(cubPoints, cubWeights); 00242 // "reshape" weights 00243 for (int i=0; i<numPoints; i++) { cubWeightsC(0,i) = cubWeights(i); } 00244 00245 00246 // get basis values 00247 int numFieldsLeft = lineBasisLeft ->getCardinality(); 00248 int numFieldsRight = lineBasisRight->getCardinality(); 00249 FieldContainer<double> valsLeft(numFieldsLeft,numPoints), 00250 valsRight(numFieldsRight,numPoints); 00251 lineBasisLeft ->getValues(valsLeft, cubPoints, OPERATOR_VALUE); 00252 lineBasisRight->getValues(valsRight, cubPoints, OPERATOR_VALUE); 00253 00254 // reshape by cloning and integrate 00255 FieldContainer<double> valsLeftC(1, numFieldsLeft,numPoints), 00256 valsRightC(1, numFieldsRight,numPoints), 00257 massMatrix(1, numFieldsLeft, numFieldsRight); 00258 ArrayTools::cloneFields<double>(valsLeftC, valsLeft); 00259 ArrayTools::cloneFields<double>(valsRightC, valsRight); 00260 ArrayTools::scalarMultiplyDataField<double>(valsRightC, cubWeightsC, valsRightC); 00261 FunctionSpaceTools::integrate<double>(massMatrix, valsLeftC, valsRightC, COMP_CPP); 00262 00263 // check orthogonality property 00264 for (int i=0; i<numFieldsLeft; i++) { 00265 for (int j=0; j<numFieldsRight; j++) { 00266 00267 if (i==j) { 00268 if ( std::abs(massMatrix(0,i,j)-(double)(2.0/(2.0*j+1.0))) > INTREPID_TOL ) { 00269 *outStream << "Incorrect ii (\"diagonal\") value for i=" << i << ", j=" << j << ": " 00270 << massMatrix(0,i,j) << " != " << "2/(2*" << j << "+1)\n\n"; 00271 errorFlag++; 00272 } 00273 } 00274 else { 00275 if ( std::abs(massMatrix(0,i,j)) > INTREPID_TOL ) { 00276 *outStream << "Incorrect ij (\"off-diagonal\") value for i=" << i << ", j=" << j << ": " 00277 << massMatrix(0,i,j) << " != " << "0\n\n"; 00278 errorFlag++; 00279 } 00280 } 00281 } 00282 } 00283 00284 } 00285 } 00286 00287 } 00288 // Catch unexpected errors 00289 catch (std::logic_error err) { 00290 *outStream << err.what() << "\n\n"; 00291 errorFlag = -1000; 00292 }; 00293 00294 *outStream \ 00295 << "\n" 00296 << "===============================================================================\n"\ 00297 << "| TEST 4: correctness of basis function derivatives |\n"\ 00298 << "===============================================================================\n"; 00299 00300 outStream -> precision(20); 00301 00302 // function values stored by bf, then pt 00303 double basisValues[] = { 00304 1.000000000000000, 1.000000000000000, 1.000000000000000, \ 00305 1.000000000000000, -1.000000000000000, -0.3333333333333333, \ 00306 0.3333333333333333, 1.000000000000000, 1.000000000000000, \ 00307 -0.3333333333333333, -0.3333333333333333, 1.000000000000000, \ 00308 -1.000000000000000, 0.4074074074074074, -0.4074074074074074, \ 00309 1.000000000000000}; 00310 00311 double basisD1Values[] = 00312 {0, 0, 0, 0, 1.000000000000000, 1.000000000000000, 1.000000000000000, \ 00313 1.000000000000000, -3.000000000000000, -1.000000000000000, \ 00314 1.000000000000000, 3.000000000000000, 6.000000000000000, \ 00315 -0.6666666666666667, -0.6666666666666667, 6.000000000000000}; 00316 00317 double basisD2Values[] = 00318 {0, 0, 0, 0, 0, 0, 0, 0, 3.000000000000000, 3.000000000000000, \ 00319 3.000000000000000, 3.000000000000000, -15.00000000000000, \ 00320 -5.000000000000000, 5.000000000000000, 15.00000000000000}; 00321 00322 double basisD3Values[] = 00323 {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 15.00000000000000, \ 00324 15.00000000000000, 15.00000000000000, 15.00000000000000}; 00325 00326 00327 00328 try { 00329 Basis_HGRAD_LINE_Cn_FEM_JACOBI<double, FieldContainer<double> > lineBasis3(3, alpha, beta); 00330 int numIntervals = 3; 00331 FieldContainer<double> lineNodes3(numIntervals+1, 1); 00332 FieldContainer<double> vals; 00333 for (int i=0; i<numIntervals+1; i++) { 00334 lineNodes3(i,0) = -1.0+(2.0*(double)i)/(double)numIntervals; 00335 } 00336 int numFields = lineBasis3.getCardinality(); 00337 int numPoints = lineNodes3.dimension(0); 00338 00339 // test basis values 00340 vals.resize(numFields, numPoints); 00341 lineBasis3.getValues(vals,lineNodes3,OPERATOR_VALUE); 00342 for (int i = 0; i < numFields; i++) { 00343 for (int j = 0; j < numPoints; j++) { 00344 00345 // Compute offset for (F,P) container 00346 int l = j + i * numPoints; 00347 if (std::abs(vals(i,j) - basisValues[l]) > INTREPID_TOL) { 00348 errorFlag++; 00349 *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n"; 00350 00351 // Output the multi-index of the value where the error is: 00352 *outStream << " At multi-index { "; 00353 *outStream << i << " ";*outStream << j << " "; 00354 *outStream << "} computed value: " << vals(i,j) 00355 << " but reference value: " << basisValues[l] << "\n"; 00356 } 00357 } 00358 } 00359 00360 // test basis derivatives 00361 vals.resize(numFields, numPoints,1); 00362 lineBasis3.getValues(vals,lineNodes3,OPERATOR_D1); 00363 for (int i = 0; i < numFields; i++) { 00364 for (int j = 0; j < numPoints; j++) { 00365 00366 // Compute offset for (F,P) container 00367 int l = j + i * numPoints; 00368 if (std::abs(vals(i,j,0) - basisD1Values[l]) > INTREPID_TOL) { 00369 errorFlag++; 00370 *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n"; 00371 00372 // Output the multi-index of the value where the error is: 00373 *outStream << " At multi-index { "; 00374 *outStream << i << " ";*outStream << j << " "; 00375 *outStream << "} computed value: " << vals(i,j,0) 00376 << " but reference value: " << basisD1Values[l] << "\n"; 00377 } 00378 } 00379 } 00380 00381 vals.resize(numFields, numPoints,1); 00382 lineBasis3.getValues(vals,lineNodes3,OPERATOR_D2); 00383 for (int i = 0; i < numFields; i++) { 00384 for (int j = 0; j < numPoints; j++) { 00385 00386 // Compute offset for (F,P) container 00387 int l = j + i * numPoints; 00388 if (std::abs(vals(i,j,0) - basisD2Values[l]) > INTREPID_TOL) { 00389 errorFlag++; 00390 *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n"; 00391 00392 // Output the multi-index of the value where the error is: 00393 *outStream << " At multi-index { "; 00394 *outStream << i << " ";*outStream << j << " "; 00395 *outStream << "} computed value: " << vals(i,j,0) 00396 << " but reference value: " << basisD2Values[l] << "\n"; 00397 } 00398 } 00399 } 00400 00401 vals.resize(numFields, numPoints,1); 00402 lineBasis3.getValues(vals,lineNodes3,OPERATOR_D3); 00403 for (int i = 0; i < numFields; i++) { 00404 for (int j = 0; j < numPoints; j++) { 00405 00406 // Compute offset for (F,P) container 00407 int l = j + i * numPoints; 00408 if (std::abs(vals(i,j,0) - basisD3Values[l]) > INTREPID_TOL) { 00409 errorFlag++; 00410 *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n"; 00411 00412 // Output the multi-index of the value where the error is: 00413 *outStream << " At multi-index { "; 00414 *outStream << i << " ";*outStream << j << " "; 00415 *outStream << "} computed value: " << vals(i,j,0) 00416 << " but reference value: " << basisD3Values[l] << "\n"; 00417 } 00418 } 00419 } 00420 } 00421 // Catch unexpected errors 00422 catch (std::logic_error err) { 00423 *outStream << err.what() << "\n\n"; 00424 errorFlag = -1000; 00425 }; 00426 00427 00428 if (errorFlag != 0) 00429 std::cout << "End Result: TEST FAILED\n"; 00430 else 00431 std::cout << "End Result: TEST PASSED\n"; 00432 00433 // reset format state of std::cout 00434 std::cout.copyfmt(oldFormatState); 00435 00436 return errorFlag; 00437 }
1.7.6.1