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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 00048 #include "Intrepid_FieldContainer.hpp" 00049 #include "Intrepid_HDIV_HEX_In_FEM.hpp" 00050 #include "Intrepid_PointTools.hpp" 00051 #include "Teuchos_oblackholestream.hpp" 00052 #include "Teuchos_RCP.hpp" 00053 #include "Teuchos_GlobalMPISession.hpp" 00054 00055 using namespace std; 00056 using namespace Intrepid; 00057 00058 #define INTREPID_TEST_COMMAND( S , throwCounter, nException ) \ 00059 { \ 00060 ++nException; \ 00061 try { \ 00062 S ; \ 00063 } \ 00064 catch (std::logic_error err) { \ 00065 ++throwCounter; \ 00066 *outStream << "Expected Error " << nException << " -------------------------------------------------------------\n"; \ 00067 *outStream << err.what() << '\n'; \ 00068 *outStream << "-------------------------------------------------------------------------------" << "\n\n"; \ 00069 }; \ 00070 } 00071 00072 int main(int argc, char *argv[]) { 00073 00074 Teuchos::GlobalMPISession mpiSession(&argc, &argv); 00075 00076 // This little trick lets us print to std::cout only if 00077 // a (dummy) command-line argument is provided. 00078 int iprint = argc - 1; 00079 Teuchos::RCP<std::ostream> outStream; 00080 Teuchos::oblackholestream bhs; // outputs nothing 00081 if (iprint > 0) 00082 outStream = Teuchos::rcp(&std::cout, false); 00083 else 00084 outStream = Teuchos::rcp(&bhs, false); 00085 00086 // Save the format state of the original std::cout. 00087 Teuchos::oblackholestream oldFormatState; 00088 oldFormatState.copyfmt(std::cout); 00089 00090 *outStream \ 00091 << "===============================================================================\n" \ 00092 << "| |\n" \ 00093 << "| Unit Test (Basis_HDIV_HEX_In_FEM) |\n" \ 00094 << "| |\n" \ 00095 << "| 1) Conversion of Dof tags into Dof ordinals and back |\n" \ 00096 << "| 2) Basis values for VALUE and DIV operators |\n" \ 00097 << "| |\n" \ 00098 << "| Questions? Contact Pavel Bochev (pbboche@sandia.gov), |\n" \ 00099 << "| Denis Ridzal (dridzal@sandia.gov), |\n" \ 00100 << "| Kara Peterson (kjpeter@sandia.gov). |\n" \ 00101 << "| |\n" \ 00102 << "| Intrepid's website: http://trilinos.sandia.gov/packages/intrepid |\n" \ 00103 << "| Trilinos website: http://trilinos.sandia.gov |\n" \ 00104 << "| |\n" \ 00105 << "===============================================================================\n"\ 00106 << "| TEST 1: Basis creation, exception testing |\n"\ 00107 << "===============================================================================\n"; 00108 00109 // Define basis and error flag 00110 const int deg = 1; 00111 shards::CellTopology line(shards::getCellTopologyData< shards::Line<> >()); 00112 FieldContainer<double> closedPts(PointTools::getLatticeSize(line,deg),1); 00113 FieldContainer<double> openPts(PointTools::getLatticeSize(line,deg+1,1),1); 00114 PointTools::getLattice<double,FieldContainer<double> >(closedPts,line,deg); 00115 PointTools::getLattice<double,FieldContainer<double> >(openPts,line,deg+1,1); 00116 00117 Basis_HDIV_HEX_In_FEM<double, FieldContainer<double> > hexBasis(deg,closedPts,openPts); 00118 00119 int errorFlag = 0; 00120 00121 // Initialize throw counter for exception testing 00122 int nException = 0; 00123 int throwCounter = 0; 00124 00125 // compute values at vertices: there are 8 of them 00126 FieldContainer<double> hexNodes(8, 3); 00127 hexNodes(0,0) = -1.0; hexNodes(0,1) = -1.0; hexNodes(0,2) = -1.0; 00128 hexNodes(1,0) = 1.0; hexNodes(1,1) = -1.0; hexNodes(1,2) = -1.0; 00129 hexNodes(2,0) = -1.0; hexNodes(2,1) = 1.0; hexNodes(2,2) = -1.0; 00130 hexNodes(3,0) = 1.0; hexNodes(3,1) = 1.0; hexNodes(3,2) = -1.0; 00131 hexNodes(4,0) = -1.0; hexNodes(4,1) = -1.0; hexNodes(4,2) = 1.0; 00132 hexNodes(5,0) = 1.0; hexNodes(5,1) = -1.0; hexNodes(5,2) = 1.0; 00133 hexNodes(6,0) = -1.0; hexNodes(6,1) = 1.0; hexNodes(6,2) = 1.0; 00134 hexNodes(7,0) = 1.0; hexNodes(7,1) = 1.0; hexNodes(7,2) = 1.0; 00135 00136 00137 00138 // Generic array for the output values; needs to be properly resized depending on the operator type 00139 FieldContainer<double> vals; 00140 00141 try{ 00142 // exception #1: GRAD cannot be applied to HDIV functions 00143 // resize vals to rank-3 container with dimensions (num. basis functions, num. points, arbitrary) 00144 vals.resize(hexBasis.getCardinality(), hexNodes.dimension(0), 3 ); 00145 INTREPID_TEST_COMMAND( hexBasis.getValues(vals, hexNodes, OPERATOR_GRAD), throwCounter, nException ); 00146 00147 // exception #2: CURL cannot be applied to HDIV functions 00148 INTREPID_TEST_COMMAND( hexBasis.getValues(vals, hexNodes, OPERATOR_CURL), throwCounter, nException ); 00149 00150 // Exceptions 3-7: all bf tags/bf Ids below are wrong and should cause getDofOrdinal() and 00151 // getDofTag() to access invalid array elements thereby causing bounds check exception 00152 // exception #3 00153 INTREPID_TEST_COMMAND( hexBasis.getDofOrdinal(3,0,0), throwCounter, nException ); 00154 // exception #4 00155 INTREPID_TEST_COMMAND( hexBasis.getDofOrdinal(1,1,1), throwCounter, nException ); 00156 // exception #5 00157 INTREPID_TEST_COMMAND( hexBasis.getDofOrdinal(0,4,1), throwCounter, nException ); 00158 // exception #6 00159 INTREPID_TEST_COMMAND( hexBasis.getDofTag(12), throwCounter, nException ); 00160 // exception #7 00161 INTREPID_TEST_COMMAND( hexBasis.getDofTag(-1), throwCounter, nException ); 00162 00163 #ifdef HAVE_INTREPID_DEBUG 00164 // Exceptions 8- test exception handling with incorrectly dimensioned input/output arrays 00165 // exception #8: input points array must be of rank-2 00166 FieldContainer<double> badPoints1(4, 5, 3); 00167 INTREPID_TEST_COMMAND( hexBasis.getValues(vals, badPoints1, OPERATOR_VALUE), throwCounter, nException ); 00168 00169 // exception #9 dimension 1 in the input point array must equal space dimension of the cell 00170 FieldContainer<double> badPoints2(4, 2); 00171 INTREPID_TEST_COMMAND( hexBasis.getValues(vals, badPoints2, OPERATOR_VALUE), throwCounter, nException ); 00172 00173 // exception #10 output values must be of rank-3 for OPERATOR_VALUE 00174 FieldContainer<double> badVals1(4, 3); 00175 INTREPID_TEST_COMMAND( hexBasis.getValues(badVals1, hexNodes, OPERATOR_VALUE), throwCounter, nException ); 00176 00177 // exception #11 output values must be of rank-2 for OPERATOR_DIV 00178 FieldContainer<double> badVals2(4, 3, 3); 00179 INTREPID_TEST_COMMAND( hexBasis.getValues(badVals2, hexNodes, OPERATOR_DIV), throwCounter, nException ); 00180 00181 // exception #12 incorrect 0th dimension of output array (must equal number of basis functions) 00182 FieldContainer<double> badVals3(hexBasis.getCardinality() + 1, hexNodes.dimension(0), 3); 00183 INTREPID_TEST_COMMAND( hexBasis.getValues(badVals3, hexNodes, OPERATOR_VALUE), throwCounter, nException ); 00184 00185 // exception #13 incorrect 0th dimension of output array (must equal number of basis functions) 00186 FieldContainer<double> badVals4(hexBasis.getCardinality() + 1, hexNodes.dimension(0)); 00187 INTREPID_TEST_COMMAND( hexBasis.getValues(badVals4, hexNodes, OPERATOR_DIV), throwCounter, nException ); 00188 00189 // exception #14 incorrect 1st dimension of output array (must equal number of points) 00190 FieldContainer<double> badVals5(hexBasis.getCardinality(), hexNodes.dimension(0) + 1, 3); 00191 INTREPID_TEST_COMMAND( hexBasis.getValues(badVals5, hexNodes, OPERATOR_VALUE), throwCounter, nException ); 00192 00193 // exception #15 incorrect 1st dimension of output array (must equal number of points) 00194 FieldContainer<double> badVals6(hexBasis.getCardinality(), hexNodes.dimension(0) + 1); 00195 INTREPID_TEST_COMMAND( hexBasis.getValues(badVals6, hexNodes, OPERATOR_DIV), throwCounter, nException ); 00196 00197 // exception #16: incorrect 2nd dimension of output array (must equal the space dimension) 00198 FieldContainer<double> badVals7(hexBasis.getCardinality(), hexNodes.dimension(0), 4); 00199 INTREPID_TEST_COMMAND( hexBasis.getValues(badVals7, hexNodes, OPERATOR_VALUE), throwCounter, nException ); 00200 #endif 00201 00202 } 00203 catch (std::logic_error err) { 00204 *outStream << "UNEXPECTED ERROR !!! ----------------------------------------------------------\n"; 00205 *outStream << err.what() << '\n'; 00206 *outStream << "-------------------------------------------------------------------------------" << "\n\n"; 00207 errorFlag = -1000; 00208 }; 00209 00210 // Check if number of thrown exceptions matches the one we expect 00211 if (throwCounter != nException) { 00212 errorFlag++; 00213 *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n"; 00214 } 00215 00216 *outStream \ 00217 << "\n" 00218 << "===============================================================================\n"\ 00219 << "| TEST 2: correctness of tag to enum and enum to tag lookups |\n"\ 00220 << "===============================================================================\n"; 00221 00222 try{ 00223 std::vector<std::vector<int> > allTags = hexBasis.getAllDofTags(); 00224 00225 // Loop over all tags, lookup the associated dof enumeration and then lookup the tag again 00226 for (unsigned i = 0; i < allTags.size(); i++) { 00227 int bfOrd = hexBasis.getDofOrdinal(allTags[i][0], allTags[i][1], allTags[i][2]); 00228 00229 std::vector<int> myTag = hexBasis.getDofTag(bfOrd); 00230 if( !( (myTag[0] == allTags[i][0]) && 00231 (myTag[1] == allTags[i][1]) && 00232 (myTag[2] == allTags[i][2]) && 00233 (myTag[3] == allTags[i][3]) ) ) { 00234 errorFlag++; 00235 *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n"; 00236 *outStream << " getDofOrdinal( {" 00237 << allTags[i][0] << ", " 00238 << allTags[i][1] << ", " 00239 << allTags[i][2] << ", " 00240 << allTags[i][3] << "}) = " << bfOrd <<" but \n"; 00241 *outStream << " getDofTag(" << bfOrd << ") = { " 00242 << myTag[0] << ", " 00243 << myTag[1] << ", " 00244 << myTag[2] << ", " 00245 << myTag[3] << "}\n"; 00246 } 00247 } 00248 00249 // Now do the same but loop over basis functions 00250 for( int bfOrd = 0; bfOrd < hexBasis.getCardinality(); bfOrd++) { 00251 std::vector<int> myTag = hexBasis.getDofTag(bfOrd); 00252 int myBfOrd = hexBasis.getDofOrdinal(myTag[0], myTag[1], myTag[2]); 00253 if( bfOrd != myBfOrd) { 00254 errorFlag++; 00255 *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n"; 00256 *outStream << " getDofTag(" << bfOrd << ") = { " 00257 << myTag[0] << ", " 00258 << myTag[1] << ", " 00259 << myTag[2] << ", " 00260 << myTag[3] << "} but getDofOrdinal({" 00261 << myTag[0] << ", " 00262 << myTag[1] << ", " 00263 << myTag[2] << ", " 00264 << myTag[3] << "} ) = " << myBfOrd << "\n"; 00265 } 00266 } 00267 } 00268 catch (std::logic_error err){ 00269 *outStream << err.what() << "\n\n"; 00270 errorFlag = -1000; 00271 }; 00272 00273 *outStream \ 00274 << "\n" 00275 << "===============================================================================\n"\ 00276 << "| TEST 3: correctness of basis function values |\n"\ 00277 << "===============================================================================\n"; 00278 00279 outStream -> precision(20); 00280 00281 // VALUE: Each row pair gives the 6x3 correct basis set values at an evaluation point: (P,F,D) layout 00282 double basisValues[] = { 00283 // basis function 0 (in from x==-1 plane, y and z are constant functions) 00284 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 00285 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 00286 // basis function 1 (out from x==1 plane, y and z are constant functions 00287 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 00288 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 00289 // basis function 2 (in from y==-1 plane, x and z are constant functions 00290 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 00291 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 00292 // basis function 3 (out from y == 1 plane, x and z are constant function 00293 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 00294 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 00295 // basis function 4 (in from z == -1 plane, x and y are constant function 00296 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 00297 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 00298 // basis function 4 (out from z == 1 plane, x and y are constant function 00299 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 00300 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1 00301 }; 00302 00303 // DIV: each row gives the 6 correct values of the divergence of the 6 basis functions: (P,F) layout 00304 double basisDivs[] = { 00305 -0.5, -0.5, -0.5, -0.5, -0.5, -0.5, -0.5, -0.5, 00306 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 00307 -0.5, -0.5, -0.5, -0.5, -0.5, -0.5, -0.5, -0.5, 00308 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 00309 -0.5, -0.5, -0.5, -0.5, -0.5, -0.5, -0.5, -0.5, 00310 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5 00311 }; 00312 00313 try{ 00314 00315 // Dimensions for the output arrays: 00316 int numPoints = hexNodes.dimension(0); 00317 int numFields = hexBasis.getCardinality(); 00318 int spaceDim = hexBasis.getBaseCellTopology().getDimension(); 00319 00320 // Generic array for values and curls that will be properly sized before each call 00321 FieldContainer<double> vals; 00322 00323 // Check VALUE of basis functions: resize vals to rank-3 container: 00324 vals.resize(numFields, numPoints, spaceDim); 00325 hexBasis.getValues(vals, hexNodes, OPERATOR_VALUE); 00326 for (int i = 0; i < numFields; i++) { 00327 for (int j = 0; j < numPoints; j++) { 00328 for (int k = 0; k < spaceDim; k++) { 00329 int l = k + i * numPoints * spaceDim + j * spaceDim; 00330 if (std::abs(vals(i,j,k) - basisValues[l]) > INTREPID_TOL) { 00331 errorFlag++; 00332 *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n"; 00333 00334 // Output the multi-index of the value where the error is: 00335 *outStream << " At multi-index { "; 00336 *outStream << i << " ";*outStream << j << " ";*outStream << k << " "; 00337 *outStream << "} computed value: " << vals(i,j,k) 00338 << " but reference value: " << basisValues[l] << "\n"; 00339 } 00340 } 00341 } 00342 } 00343 00344 // Check DIV of basis function: resize vals to rank-2 container 00345 vals.resize(numFields, numPoints); 00346 hexBasis.getValues(vals, hexNodes, OPERATOR_DIV); 00347 for (int i = 0; i < numFields; i++) { 00348 for (int j = 0; j < numPoints; j++) { 00349 int l = i * numPoints + j; 00350 if (std::abs(vals(i,j) - basisDivs[l]) > INTREPID_TOL) { 00351 errorFlag++; 00352 *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n"; 00353 00354 // Output the multi-index of the value where the error is: 00355 *outStream << " At multi-index { "; 00356 *outStream << i << " ";*outStream << j << " "; 00357 *outStream << "} computed divergence component: " << vals(i,j) 00358 << " but reference divergence component: " << basisDivs[l] << "\n"; 00359 } 00360 } 00361 } 00362 00363 } 00364 00365 // Catch unexpected errors 00366 catch (std::logic_error err) { 00367 *outStream << err.what() << "\n\n"; 00368 errorFlag = -1000; 00369 }; 00370 00371 if (errorFlag != 0) 00372 std::cout << "End Result: TEST FAILED\n"; 00373 else 00374 std::cout << "End Result: TEST PASSED\n"; 00375 00376 // reset format state of std::cout 00377 std::cout.copyfmt(oldFormatState); 00378 00379 return errorFlag; 00380 }
1.7.6.1