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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_I1_FEM.hpp" 00050 #include "Teuchos_oblackholestream.hpp" 00051 #include "Teuchos_RCP.hpp" 00052 #include "Teuchos_GlobalMPISession.hpp" 00053 00054 using namespace std; 00055 using namespace Intrepid; 00056 00057 #define INTREPID_TEST_COMMAND( S , throwCounter, nException ) \ 00058 { \ 00059 ++nException; \ 00060 try { \ 00061 S ; \ 00062 } \ 00063 catch (std::logic_error err) { \ 00064 ++throwCounter; \ 00065 *outStream << "Expected Error " << nException << " -------------------------------------------------------------\n"; \ 00066 *outStream << err.what() << '\n'; \ 00067 *outStream << "-------------------------------------------------------------------------------" << "\n\n"; \ 00068 }; \ 00069 } 00070 00071 int main(int argc, char *argv[]) { 00072 00073 Teuchos::GlobalMPISession mpiSession(&argc, &argv); 00074 00075 // This little trick lets us print to std::cout only if 00076 // a (dummy) command-line argument is provided. 00077 int iprint = argc - 1; 00078 Teuchos::RCP<std::ostream> outStream; 00079 Teuchos::oblackholestream bhs; // outputs nothing 00080 if (iprint > 0) 00081 outStream = Teuchos::rcp(&std::cout, false); 00082 else 00083 outStream = Teuchos::rcp(&bhs, false); 00084 00085 // Save the format state of the original std::cout. 00086 Teuchos::oblackholestream oldFormatState; 00087 oldFormatState.copyfmt(std::cout); 00088 00089 *outStream \ 00090 << "===============================================================================\n" \ 00091 << "| |\n" \ 00092 << "| Unit Test (Basis_HDIV_HEX_I1_FEM) |\n" \ 00093 << "| |\n" \ 00094 << "| 1) Conversion of Dof tags into Dof ordinals and back |\n" \ 00095 << "| 2) Basis values for VALUE and DIV operators |\n" \ 00096 << "| |\n" \ 00097 << "| Questions? Contact Pavel Bochev (pbboche@sandia.gov), |\n" \ 00098 << "| Denis Ridzal (dridzal@sandia.gov), |\n" \ 00099 << "| Kara Peterson (kjpeter@sandia.gov). |\n" \ 00100 << "| |\n" \ 00101 << "| Intrepid's website: http://trilinos.sandia.gov/packages/intrepid |\n" \ 00102 << "| Trilinos website: http://trilinos.sandia.gov |\n" \ 00103 << "| |\n" \ 00104 << "===============================================================================\n"\ 00105 << "| TEST 1: Basis creation, exception testing |\n"\ 00106 << "===============================================================================\n"; 00107 00108 // Define basis and error flag 00109 Basis_HDIV_HEX_I1_FEM<double, FieldContainer<double> > hexBasis; 00110 int errorFlag = 0; 00111 00112 // Initialize throw counter for exception testing 00113 int nException = 0; 00114 int throwCounter = 0; 00115 00116 // Define array containing the 8 vertices of the reference HEX, its center and 6 face centers 00117 FieldContainer<double> hexNodes(15, 3); 00118 hexNodes(0,0) = -1.0; hexNodes(0,1) = -1.0; hexNodes(0,2) = -1.0; 00119 hexNodes(1,0) = 1.0; hexNodes(1,1) = -1.0; hexNodes(1,2) = -1.0; 00120 hexNodes(2,0) = 1.0; hexNodes(2,1) = 1.0; hexNodes(2,2) = -1.0; 00121 hexNodes(3,0) = -1.0; hexNodes(3,1) = 1.0; hexNodes(3,2) = -1.0; 00122 00123 hexNodes(4,0) = -1.0; hexNodes(4,1) = -1.0; hexNodes(4,2) = 1.0; 00124 hexNodes(5,0) = 1.0; hexNodes(5,1) = -1.0; hexNodes(5,2) = 1.0; 00125 hexNodes(6,0) = 1.0; hexNodes(6,1) = 1.0; hexNodes(6,2) = 1.0; 00126 hexNodes(7,0) = -1.0; hexNodes(7,1) = 1.0; hexNodes(7,2) = 1.0; 00127 00128 hexNodes(8,0) = 0.0; hexNodes(8,1) = 0.0; hexNodes(8,2) = 0.0; 00129 00130 hexNodes(9,0) = 1.0; hexNodes(9,1) = 0.0; hexNodes(9,2) = 0.0; 00131 hexNodes(10,0)= -1.0; hexNodes(10,1)= 0.0; hexNodes(10,2)= 0.0; 00132 00133 hexNodes(11,0)= 0.0; hexNodes(11,1)= 1.0; hexNodes(11,2)= 0.0; 00134 hexNodes(12,0)= 0.0; hexNodes(12,1)= -1.0; hexNodes(12,2)= 0.0; 00135 00136 hexNodes(13,0)= 0.0; hexNodes(13,1)= 0.0; hexNodes(13,2)= 1.0; 00137 hexNodes(14,0)= 0.0; hexNodes(14,1)= 0.0; hexNodes(14,2)= -1.0; 00138 00139 00140 // Generic array for the output values; needs to be properly resized depending on the operator type 00141 FieldContainer<double> vals; 00142 00143 try{ 00144 // exception #1: GRAD cannot be applied to HDIV functions 00145 // resize vals to rank-3 container with dimensions (num. basis functions, num. points, arbitrary) 00146 vals.resize(hexBasis.getCardinality(), hexNodes.dimension(0), 3 ); 00147 INTREPID_TEST_COMMAND( hexBasis.getValues(vals, hexNodes, OPERATOR_GRAD), throwCounter, nException ); 00148 00149 // exception #2: CURL cannot be applied to HDIV functions 00150 INTREPID_TEST_COMMAND( hexBasis.getValues(vals, hexNodes, OPERATOR_CURL), throwCounter, nException ); 00151 00152 // Exceptions 3-7: all bf tags/bf Ids below are wrong and should cause getDofOrdinal() and 00153 // getDofTag() to access invalid array elements thereby causing bounds check exception 00154 // exception #3 00155 INTREPID_TEST_COMMAND( hexBasis.getDofOrdinal(3,0,0), throwCounter, nException ); 00156 // exception #4 00157 INTREPID_TEST_COMMAND( hexBasis.getDofOrdinal(1,1,1), throwCounter, nException ); 00158 // exception #5 00159 INTREPID_TEST_COMMAND( hexBasis.getDofOrdinal(0,4,1), throwCounter, nException ); 00160 // exception #6 00161 INTREPID_TEST_COMMAND( hexBasis.getDofTag(12), throwCounter, nException ); 00162 // exception #7 00163 INTREPID_TEST_COMMAND( hexBasis.getDofTag(-1), throwCounter, nException ); 00164 00165 #ifdef HAVE_INTREPID_DEBUG 00166 // Exceptions 8- test exception handling with incorrectly dimensioned input/output arrays 00167 // exception #8: input points array must be of rank-2 00168 FieldContainer<double> badPoints1(4, 5, 3); 00169 INTREPID_TEST_COMMAND( hexBasis.getValues(vals, badPoints1, OPERATOR_VALUE), throwCounter, nException ); 00170 00171 // exception #9 dimension 1 in the input point array must equal space dimension of the cell 00172 FieldContainer<double> badPoints2(4, 2); 00173 INTREPID_TEST_COMMAND( hexBasis.getValues(vals, badPoints2, OPERATOR_VALUE), throwCounter, nException ); 00174 00175 // exception #10 output values must be of rank-3 for OPERATOR_VALUE 00176 FieldContainer<double> badVals1(4, 3); 00177 INTREPID_TEST_COMMAND( hexBasis.getValues(badVals1, hexNodes, OPERATOR_VALUE), throwCounter, nException ); 00178 00179 // exception #11 output values must be of rank-2 for OPERATOR_DIV 00180 FieldContainer<double> badVals2(4, 3, 3); 00181 INTREPID_TEST_COMMAND( hexBasis.getValues(badVals2, hexNodes, OPERATOR_DIV), throwCounter, nException ); 00182 00183 // exception #12 incorrect 0th dimension of output array (must equal number of basis functions) 00184 FieldContainer<double> badVals3(hexBasis.getCardinality() + 1, hexNodes.dimension(0), 3); 00185 INTREPID_TEST_COMMAND( hexBasis.getValues(badVals3, hexNodes, OPERATOR_VALUE), throwCounter, nException ); 00186 00187 // exception #13 incorrect 0th dimension of output array (must equal number of basis functions) 00188 FieldContainer<double> badVals4(hexBasis.getCardinality() + 1, hexNodes.dimension(0)); 00189 INTREPID_TEST_COMMAND( hexBasis.getValues(badVals4, hexNodes, OPERATOR_DIV), throwCounter, nException ); 00190 00191 // exception #14 incorrect 1st dimension of output array (must equal number of points) 00192 FieldContainer<double> badVals5(hexBasis.getCardinality(), hexNodes.dimension(0) + 1, 3); 00193 INTREPID_TEST_COMMAND( hexBasis.getValues(badVals5, hexNodes, OPERATOR_VALUE), throwCounter, nException ); 00194 00195 // exception #15 incorrect 1st dimension of output array (must equal number of points) 00196 FieldContainer<double> badVals6(hexBasis.getCardinality(), hexNodes.dimension(0) + 1); 00197 INTREPID_TEST_COMMAND( hexBasis.getValues(badVals6, hexNodes, OPERATOR_DIV), throwCounter, nException ); 00198 00199 // exception #16: incorrect 2nd dimension of output array (must equal the space dimension) 00200 FieldContainer<double> badVals7(hexBasis.getCardinality(), hexNodes.dimension(0), 4); 00201 INTREPID_TEST_COMMAND( hexBasis.getValues(badVals7, hexNodes, OPERATOR_VALUE), throwCounter, nException ); 00202 #endif 00203 00204 } 00205 catch (std::logic_error err) { 00206 *outStream << "UNEXPECTED ERROR !!! ----------------------------------------------------------\n"; 00207 *outStream << err.what() << '\n'; 00208 *outStream << "-------------------------------------------------------------------------------" << "\n\n"; 00209 errorFlag = -1000; 00210 }; 00211 00212 // Check if number of thrown exceptions matches the one we expect 00213 if (throwCounter != nException) { 00214 errorFlag++; 00215 *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n"; 00216 } 00217 00218 *outStream \ 00219 << "\n" 00220 << "===============================================================================\n"\ 00221 << "| TEST 2: correctness of tag to enum and enum to tag lookups |\n"\ 00222 << "===============================================================================\n"; 00223 00224 try{ 00225 std::vector<std::vector<int> > allTags = hexBasis.getAllDofTags(); 00226 00227 // Loop over all tags, lookup the associated dof enumeration and then lookup the tag again 00228 for (unsigned i = 0; i < allTags.size(); i++) { 00229 int bfOrd = hexBasis.getDofOrdinal(allTags[i][0], allTags[i][1], allTags[i][2]); 00230 00231 std::vector<int> myTag = hexBasis.getDofTag(bfOrd); 00232 if( !( (myTag[0] == allTags[i][0]) && 00233 (myTag[1] == allTags[i][1]) && 00234 (myTag[2] == allTags[i][2]) && 00235 (myTag[3] == allTags[i][3]) ) ) { 00236 errorFlag++; 00237 *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n"; 00238 *outStream << " getDofOrdinal( {" 00239 << allTags[i][0] << ", " 00240 << allTags[i][1] << ", " 00241 << allTags[i][2] << ", " 00242 << allTags[i][3] << "}) = " << bfOrd <<" but \n"; 00243 *outStream << " getDofTag(" << bfOrd << ") = { " 00244 << myTag[0] << ", " 00245 << myTag[1] << ", " 00246 << myTag[2] << ", " 00247 << myTag[3] << "}\n"; 00248 } 00249 } 00250 00251 // Now do the same but loop over basis functions 00252 for( int bfOrd = 0; bfOrd < hexBasis.getCardinality(); bfOrd++) { 00253 std::vector<int> myTag = hexBasis.getDofTag(bfOrd); 00254 int myBfOrd = hexBasis.getDofOrdinal(myTag[0], myTag[1], myTag[2]); 00255 if( bfOrd != myBfOrd) { 00256 errorFlag++; 00257 *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n"; 00258 *outStream << " getDofTag(" << bfOrd << ") = { " 00259 << myTag[0] << ", " 00260 << myTag[1] << ", " 00261 << myTag[2] << ", " 00262 << myTag[3] << "} but getDofOrdinal({" 00263 << myTag[0] << ", " 00264 << myTag[1] << ", " 00265 << myTag[2] << ", " 00266 << myTag[3] << "} ) = " << myBfOrd << "\n"; 00267 } 00268 } 00269 } 00270 catch (std::logic_error err){ 00271 *outStream << err.what() << "\n\n"; 00272 errorFlag = -1000; 00273 }; 00274 00275 *outStream \ 00276 << "\n" 00277 << "===============================================================================\n"\ 00278 << "| TEST 3: correctness of basis function values |\n"\ 00279 << "===============================================================================\n"; 00280 00281 outStream -> precision(20); 00282 00283 // VALUE: Each row pair gives the 6x3 correct basis set values at an evaluation point: (P,F,D) layout 00284 double basisValues[] = { 00285 // bottom 4 vertices 00286 0.,-0.25,0., 0.,0.,0., 0.,0.,0., -0.25,0.,0., 0.,0.,-0.25, 0.,0.,0., 00287 0.,-0.25,0., 0.25,0.,0., 0.,0.,0., 0.,0.,0., 0.,0.,-0.25, 0.,0.,0., 00288 0.,0.,0., 0.25,0.,0., 0.,0.25,0., 0.,0.,0., 0.,0.,-0.25, 0.,0.,0., 00289 0.,0.,0., 0.,0.,0., 0.,0.25,0., -0.25,0.,0., 0.,0.,-0.25, 0.,0.,0., 00290 // top 4 vertices 00291 0.,-0.25,0., 0.,0.,0., 0.,0.,0., -0.25,0.,0., 0.,0.,0., 0.,0.,0.25, 00292 0.,-0.25,0., 0.25,0.,0., 0.,0.,0., 0.,0.,0., 0.,0.,0., 0.,0.,0.25, 00293 0.,0.,0., 0.25,0.,0., 0.,0.25,0., 0.,0.,0., 0.,0.,0., 0.,0.,0.25, 00294 0.,0.,0., 0.,0.,0., 0.,0.25,0., -0.25,0.,0., 0.,0.,0., 0.,0.,0.25, 00295 // center {0, 0, 0} 00296 0.,-0.125,0., 0.125,0.,0., 0.,0.125,0., -0.125,0.,0., 0.,0.,-0.125, 0.,0.,0.125, 00297 // faces { 1, 0, 0} and {-1, 0, 0} 00298 0.,-0.125,0., 0.25,0.,0., 0.,0.125,0., 0.,0.,0., 0.,0.,-0.125, 0.,0.,0.125, 00299 0.,-0.125,0., 0.,0.,0., 0.,0.125,0., -0.25,0.,0., 0.,0.,-0.125, 0.,0.,0.125, 00300 // faces { 0, 1, 0} and { 0,-1, 0} 00301 0.,0.,0., 0.125,0.,0., 0.,0.25,0., -0.125,0.,0., 0.,0.,-0.125, 0.,0.,0.125, 00302 0.,-0.25,0., 0.125,0.,0., 0.,0.,0., -0.125,0.,0., 0.,0.,-0.125, 0.,0.,0.125, 00303 // faces {0, 0, 1} and {0, 0, -1} 00304 0.,-0.125,0., 0.125,0.,0., 0.,0.125,0., -0.125,0.,0., 0.,0.,0., 0.,0.,0.25, 00305 0.,-0.125,0., 0.125,0.,0., 0.,0.125,0., -0.125,0.,0., 0.,0.,-0.25, 0.,0.,0. 00306 }; 00307 00308 // DIV: each row gives the 6 correct values of the divergence of the 6 basis functions: (P,F) layout 00309 double basisDivs[] = { 00310 // bottom 4 vertices 00311 0.125, 0.125, 0.125, 0.125, 0.125, 0.125, 00312 0.125, 0.125, 0.125, 0.125, 0.125, 0.125, 00313 0.125, 0.125, 0.125, 0.125, 0.125, 0.125, 00314 0.125, 0.125, 0.125, 0.125, 0.125, 0.125, 00315 // top 4 vertices 00316 0.125, 0.125, 0.125, 0.125, 0.125, 0.125, 00317 0.125, 0.125, 0.125, 0.125, 0.125, 0.125, 00318 0.125, 0.125, 0.125, 0.125, 0.125, 0.125, 00319 0.125, 0.125, 0.125, 0.125, 0.125, 0.125, 00320 // center {0, 0, 0} 00321 0.125, 0.125, 0.125, 0.125, 0.125, 0.125, 00322 // faces { 1, 0, 0} and {-1, 0, 0} 00323 0.125, 0.125, 0.125, 0.125, 0.125, 0.125, 00324 0.125, 0.125, 0.125, 0.125, 0.125, 0.125, 00325 // faces { 0, 1, 0} and { 0,-1, 0} 00326 0.125, 0.125, 0.125, 0.125, 0.125, 0.125, 00327 0.125, 0.125, 0.125, 0.125, 0.125, 0.125, 00328 // faces {0, 0, 1} and {0, 0, -1} 00329 0.125, 0.125, 0.125, 0.125, 0.125, 0.125, 00330 0.125, 0.125, 0.125, 0.125, 0.125, 0.125, 00331 }; 00332 00333 try{ 00334 00335 // Dimensions for the output arrays: 00336 int numPoints = hexNodes.dimension(0); 00337 int numFields = hexBasis.getCardinality(); 00338 int spaceDim = hexBasis.getBaseCellTopology().getDimension(); 00339 00340 // Generic array for values and curls that will be properly sized before each call 00341 FieldContainer<double> vals; 00342 00343 // Check VALUE of basis functions: resize vals to rank-3 container: 00344 vals.resize(numFields, numPoints, spaceDim); 00345 hexBasis.getValues(vals, hexNodes, OPERATOR_VALUE); 00346 for (int i = 0; i < numFields; i++) { 00347 for (int j = 0; j < numPoints; j++) { 00348 for (int k = 0; k < spaceDim; k++) { 00349 00350 // compute offset for (P,F,D) data layout: indices are P->j, F->i, D->k 00351 int l = k + i * spaceDim + j * spaceDim * numFields; 00352 if (std::abs(vals(i,j,k) - basisValues[l]) > INTREPID_TOL) { 00353 errorFlag++; 00354 *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n"; 00355 00356 // Output the multi-index of the value where the error is: 00357 *outStream << " At multi-index { "; 00358 *outStream << i << " ";*outStream << j << " ";*outStream << k << " "; 00359 *outStream << "} computed value: " << vals(i,j,k) 00360 << " but reference value: " << basisValues[l] << "\n"; 00361 } 00362 } 00363 } 00364 } 00365 00366 // Check DIV of basis function: resize vals to rank-2 container 00367 vals.resize(numFields, numPoints); 00368 hexBasis.getValues(vals, hexNodes, OPERATOR_DIV); 00369 for (int i = 0; i < numFields; i++) { 00370 for (int j = 0; j < numPoints; j++) { 00371 int l = i + j * numFields; 00372 if (std::abs(vals(i,j) - basisDivs[l]) > INTREPID_TOL) { 00373 errorFlag++; 00374 *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n"; 00375 00376 // Output the multi-index of the value where the error is: 00377 *outStream << " At multi-index { "; 00378 *outStream << i << " ";*outStream << j << " "; 00379 *outStream << "} computed divergence component: " << vals(i,j) 00380 << " but reference divergence component: " << basisDivs[l] << "\n"; 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 }
1.7.6.1