Intrepid
test_01.cpp
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43 
48 #include "Intrepid_FieldContainer.hpp"
49 #include "Intrepid_HGRAD_HEX_Cn_FEM.hpp"
50 #include "Intrepid_PointTools.hpp"
51 #include "Teuchos_oblackholestream.hpp"
52 #include "Teuchos_RCP.hpp"
53 #include "Teuchos_GlobalMPISession.hpp"
54 
55 using namespace std;
56 using namespace Intrepid;
57 
58 #define INTREPID_TEST_COMMAND( S , throwCounter, nException ) \
59 { \
60  ++nException; \
61  try { \
62  S ; \
63  } \
64  catch (const std::logic_error & err) { \
65  ++throwCounter; \
66  *outStream << "Expected Error " << nException << " -------------------------------------------------------------\n"; \
67  *outStream << err.what() << '\n'; \
68  *outStream << "-------------------------------------------------------------------------------" << "\n\n"; \
69  }; \
70 }
71 
72 int main(int argc, char *argv[]) {
73 
74  Teuchos::GlobalMPISession mpiSession(&argc, &argv);
75 
76  // This little trick lets us print to std::cout only if
77  // a (dummy) command-line argument is provided.
78  int iprint = argc - 1;
79  Teuchos::RCP<std::ostream> outStream;
80  Teuchos::oblackholestream bhs; // outputs nothing
81  if (iprint > 0)
82  outStream = Teuchos::rcp(&std::cout, false);
83  else
84  outStream = Teuchos::rcp(&bhs, false);
85 
86  // Save the format state of the original std::cout.
87  Teuchos::oblackholestream oldFormatState;
88  oldFormatState.copyfmt(std::cout);
89 
90  *outStream \
91  << "===============================================================================\n" \
92  << "| |\n" \
93  << "| Unit Test (Basis_HGRAD_HEX_C2_FEM) |\n" \
94  << "| |\n" \
95  << "| 1) Conversion of Dof tags into Dof ordinals and back |\n" \
96  << "| 2) Basis values for VALUE, GRAD, and Dk operators |\n" \
97  << "| |\n" \
98  << "| Questions? Contact Pavel Bochev (pbboche@sandia.gov), |\n" \
99  << "| Robert Kirby (robert.c.kirby@ttu.edu), |\n" \
100  << "| Denis Ridzal (dridzal@sandia.gov), |\n" \
101  << "| Kara Peterson (kjpeter@sandia.gov). |\n" \
102  << "| |\n" \
103  << "| Intrepid's website: http://trilinos.sandia.gov/packages/intrepid |\n" \
104  << "| Trilinos website: http://trilinos.sandia.gov |\n" \
105  << "| |\n" \
106  << "===============================================================================\n"\
107  << "| TEST 1: Basis creation, exception testing |\n"\
108  << "===============================================================================\n";
109 
110  // Define basis and error flag
111  // get points
112  const int deg=2;
113  shards::CellTopology line(shards::getCellTopologyData< shards::Line<> >());
114  FieldContainer<double> pts(PointTools::getLatticeSize(line,deg),1);
115  PointTools::getLattice<double,FieldContainer<double> >(pts,line,deg);
116 
117  Basis_HGRAD_HEX_Cn_FEM<double, FieldContainer<double> > hexBasis(deg,deg,deg,pts,pts,pts);
118 
119  int errorFlag = 0;
120 
121  // Initialize throw counter for exception testing
122  int nException = 0;
123  int throwCounter = 0;
124 
125  // Define arrayS containing the 27 nodes of hexahedron<27> topology
126  FieldContainer<double> hexNodes(27, 3);
127  // do it lexicographically as a lattice
128  hexNodes(0, 0) = -1.0; hexNodes(0, 1) = -1.0; hexNodes(0, 2) = -1.0;
129  hexNodes(1, 0) = 0.0; hexNodes(1, 1) = -1.0; hexNodes(1, 2) = -1.0;
130  hexNodes(2, 0) = 1.0; hexNodes(2, 1) = -1.0; hexNodes(2, 2) = -1.0;
131  hexNodes(3, 0) = -1.0; hexNodes(3, 1) = 0.0; hexNodes(3, 2) = -1.0;
132  hexNodes(4, 0) = 0.0; hexNodes(4, 1) = 0.0; hexNodes(4, 2) = -1.0;
133  hexNodes(5, 0) = 1.0; hexNodes(5, 1) = 0.0; hexNodes(5, 2) = -1.0;
134  hexNodes(6, 0) = -1.0; hexNodes(6, 1) = 1.0; hexNodes(6, 2) = -1.0;
135  hexNodes(7, 0) = 0.0; hexNodes(7, 1) = 1.0; hexNodes(7, 2) = -1.0;
136  hexNodes(8, 0) = 1.0; hexNodes(8, 1) = 1.0; hexNodes(8, 2) = -1.0;
137  hexNodes(9, 0) = -1.0; hexNodes(9, 1) = -1.0; hexNodes(9, 2) = 0.0;
138  hexNodes(10, 0) = 0.0; hexNodes(10, 1) = -1.0; hexNodes(10, 2) = 0.0;
139  hexNodes(11, 0) = 1.0; hexNodes(11, 1) = -1.0; hexNodes(11, 2) = 0.0;
140  hexNodes(12, 0) = -1.0; hexNodes(12, 1) = 0.0; hexNodes(12, 2) = 0.0;
141  hexNodes(13, 0) = 0.0; hexNodes(13, 1) = 0.0; hexNodes(13, 2) = 0.0;
142  hexNodes(14, 0) = 1.0; hexNodes(14, 1) = 0.0; hexNodes(14, 2) = 0.0;
143  hexNodes(15, 0) = -1.0; hexNodes(15, 1) = 1.0; hexNodes(15, 2) = 0.0;
144  hexNodes(16, 0) = 0.0; hexNodes(16, 1) = 1.0; hexNodes(16, 2) = 0.0;
145  hexNodes(17, 0) = 1.0; hexNodes(17, 1) = 1.0; hexNodes(17, 2) = 0.0;
146  hexNodes(18, 0) = -1.0; hexNodes(18, 1) = -1.0; hexNodes(18, 2) = 1.0;
147  hexNodes(19, 0) = 0.0; hexNodes(19, 1) = -1.0; hexNodes(19, 2) = 1.0;
148  hexNodes(20, 0) = 1.0; hexNodes(20, 1) = -1.0; hexNodes(20, 2) = 1.0;
149  hexNodes(21, 0) = -1.0; hexNodes(21, 1) = 0.0; hexNodes(21, 2) = 1.0;
150  hexNodes(22, 0) = 0.0; hexNodes(22, 1) = 0.0; hexNodes(22, 2) = 1.0;
151  hexNodes(23, 0) = 1.0; hexNodes(23, 1) = 0.0; hexNodes(23, 2) = 1.0;
152  hexNodes(24, 0) = -1.0; hexNodes(24, 1) = 1.0; hexNodes(24, 2) = 1.0;
153  hexNodes(25, 0) = 0.0; hexNodes(25, 1) = 1.0; hexNodes(25, 2) = 1.0;
154  hexNodes(26, 0) = 1.0; hexNodes(26, 1) = 1.0; hexNodes(26, 2) = 1.0;
155 
156 
157  // Generic array for the output values; needs to be properly resized depending on the operator type
158  FieldContainer<double> vals;
159 
160  try{
161  // exception #1: CURL cannot be applied to scalar functions in 3D
162  // resize vals to rank-3 container with dimensions (num. basis functions, num. points, arbitrary)
163  vals.resize(hexBasis.getCardinality(), hexNodes.dimension(0), 4 );
164  INTREPID_TEST_COMMAND( hexBasis.getValues(vals, hexNodes, OPERATOR_CURL), throwCounter, nException );
165 
166  // exception #2: DIV cannot be applied to scalar functions in 3D
167  // resize vals to rank-2 container with dimensions (num. basis functions, num. points)
168  vals.resize(hexBasis.getCardinality(), hexNodes.dimension(0) );
169  INTREPID_TEST_COMMAND( hexBasis.getValues(vals, hexNodes, OPERATOR_DIV), throwCounter, nException );
170 
171  // Exceptions 3-7: all bf tags/bf Ids below are wrong and should cause getDofOrdinal() and
172  // getDofTag() to access invalid array elements thereby causing bounds check exception
173  // exception #3
174  INTREPID_TEST_COMMAND( hexBasis.getDofOrdinal(3,10,0), throwCounter, nException );
175  // exception #4
176  INTREPID_TEST_COMMAND( hexBasis.getDofOrdinal(1,2,1), throwCounter, nException );
177  // exception #5
178  INTREPID_TEST_COMMAND( hexBasis.getDofOrdinal(0,4,1), throwCounter, nException );
179  // exception #6
180  INTREPID_TEST_COMMAND( hexBasis.getDofTag(28), throwCounter, nException );
181  // exception #7
182  INTREPID_TEST_COMMAND( hexBasis.getDofTag(-1), throwCounter, nException );
183 
184 #ifdef HAVE_INTREPID_DEBUG
185  // Exceptions 8-18 test exception handling with incorrectly dimensioned input/output arrays
186  // exception #8: input points array must be of rank-2
187  FieldContainer<double> badPoints1(4, 5, 3);
188  INTREPID_TEST_COMMAND( hexBasis.getValues(vals, badPoints1, OPERATOR_VALUE), throwCounter, nException );
189 
190  // exception #9 dimension 1 in the input point array must equal space dimension of the cell
191  FieldContainer<double> badPoints2(4, hexBasis.getBaseCellTopology().getDimension() - 1);
192  INTREPID_TEST_COMMAND( hexBasis.getValues(vals, badPoints2, OPERATOR_VALUE), throwCounter, nException );
193 
194  // exception #10 output values must be of rank-2 for OPERATOR_VALUE
195  FieldContainer<double> badVals1(4, 3, 1);
196  INTREPID_TEST_COMMAND( hexBasis.getValues(badVals1, hexNodes, OPERATOR_VALUE), throwCounter, nException );
197 
198  // exception #11 output values must be of rank-3 for OPERATOR_GRAD
199  FieldContainer<double> badVals2(4, 3);
200  INTREPID_TEST_COMMAND( hexBasis.getValues(badVals2, hexNodes, OPERATOR_GRAD), throwCounter, nException );
201 
202  // exception #12 output values must be of rank-3 for OPERATOR_D1
203  INTREPID_TEST_COMMAND( hexBasis.getValues(badVals2, hexNodes, OPERATOR_D1), throwCounter, nException );
204 
205  // exception #13 output values must be of rank-3 for OPERATOR_D2
206  INTREPID_TEST_COMMAND( hexBasis.getValues(badVals2, hexNodes, OPERATOR_D2), throwCounter, nException );
207 
208  // exception #14 incorrect 0th dimension of output array (must equal number of basis functions)
209  FieldContainer<double> badVals3(hexBasis.getCardinality() + 1, hexNodes.dimension(0));
210  INTREPID_TEST_COMMAND( hexBasis.getValues(badVals3, hexNodes, OPERATOR_VALUE), throwCounter, nException );
211 
212  // exception #15 incorrect 1st dimension of output array (must equal number of points)
213  FieldContainer<double> badVals4(hexBasis.getCardinality(), hexNodes.dimension(0) + 1);
214  INTREPID_TEST_COMMAND( hexBasis.getValues(badVals4, hexNodes, OPERATOR_VALUE), throwCounter, nException );
215 
216  // exception #16: incorrect 2nd dimension of output array (must equal the space dimension)
217  FieldContainer<double> badVals5(hexBasis.getCardinality(), hexNodes.dimension(0), hexBasis.getBaseCellTopology().getDimension() - 1);
218  INTREPID_TEST_COMMAND( hexBasis.getValues(badVals5, hexNodes, OPERATOR_GRAD), throwCounter, nException );
219 
220  // exception #17: incorrect 2nd dimension of output array (must equal D2 cardinality in 3D)
221  FieldContainer<double> badVals6(hexBasis.getCardinality(), hexNodes.dimension(0), 40);
222  INTREPID_TEST_COMMAND( hexBasis.getValues(badVals6, hexNodes, OPERATOR_D2), throwCounter, nException );
223 
224  // exception #18: incorrect 2nd dimension of output array (must equal D3 cardinality in 3D)
225  FieldContainer<double> badVals7(hexBasis.getCardinality(), hexNodes.dimension(0), 50);
226  INTREPID_TEST_COMMAND( hexBasis.getValues(badVals7, hexNodes, OPERATOR_D3), throwCounter, nException );
227 #endif
228 
229  }
230  catch (const std::logic_error & err) {
231  *outStream << "UNEXPECTED ERROR !!! ----------------------------------------------------------\n";
232  *outStream << err.what() << '\n';
233  *outStream << "-------------------------------------------------------------------------------" << "\n\n";
234  errorFlag = -1000;
235  };
236 
237  // Check if number of thrown exceptions matches the one we expect
238  // Note Teuchos throw number will not pick up exceptions 3-7 and therefore will not match.
239  if (throwCounter != nException) {
240  errorFlag++;
241  *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
242  }
243 
244  *outStream \
245  << "\n"
246  << "===============================================================================\n"\
247  << "| TEST 2: correctness of tag to enum and enum to tag lookups |\n"\
248  << "===============================================================================\n";
249 
250  try{
251  std::vector<std::vector<int> > allTags = hexBasis.getAllDofTags();
252 
253  // Loop over all tags, lookup the associated dof enumeration and then lookup the tag again
254  for (unsigned i = 0; i < allTags.size(); i++) {
255  int bfOrd = hexBasis.getDofOrdinal(allTags[i][0], allTags[i][1], allTags[i][2]);
256 
257 
258 
259  std::vector<int> myTag = hexBasis.getDofTag(bfOrd);
260  if( !( (myTag[0] == allTags[i][0]) &&
261  (myTag[1] == allTags[i][1]) &&
262  (myTag[2] == allTags[i][2]) &&
263  (myTag[3] == allTags[i][3]) ) ) {
264  errorFlag++;
265  *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
266  *outStream << " getDofOrdinal( {"
267  << allTags[i][0] << ", "
268  << allTags[i][1] << ", "
269  << allTags[i][2] << ", "
270  << allTags[i][3] << "}) = " << bfOrd <<" but \n";
271  *outStream << " getDofTag(" << bfOrd << ") = { "
272  << myTag[0] << ", "
273  << myTag[1] << ", "
274  << myTag[2] << ", "
275  << myTag[3] << "}\n";
276  }
277  }
278 
279  // Now do the same but loop over basis functions
280  for( int bfOrd = 0; bfOrd < hexBasis.getCardinality(); bfOrd++) {
281  std::vector<int> myTag = hexBasis.getDofTag(bfOrd);
282  int myBfOrd = hexBasis.getDofOrdinal(myTag[0], myTag[1], myTag[2]);
283  if( bfOrd != myBfOrd) {
284  errorFlag++;
285  *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
286  *outStream << " getDofTag(" << bfOrd << ") = { "
287  << myTag[0] << ", "
288  << myTag[1] << ", "
289  << myTag[2] << ", "
290  << myTag[3] << "} but getDofOrdinal({"
291  << myTag[0] << ", "
292  << myTag[1] << ", "
293  << myTag[2] << ", "
294  << myTag[3] << "} ) = " << myBfOrd << "\n";
295  }
296  }
297  }
298  catch (const std::logic_error & err){
299  *outStream << err.what() << "\n\n";
300  errorFlag = -1000;
301  };
302 
303 
304  *outStream \
305  << "\n"
306  << "===============================================================================\n"\
307  << "| TEST 3: correctness of basis function values |\n"\
308  << "===============================================================================\n";
309 
310  outStream -> precision(20);
311 
312  // VALUE: Each row gives the 27 correct basis set values at an evaluation point
313  double basisValues[] = {
314  1.000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
315  0, 1.000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
316  0, 0, 1.000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
317  0, 0, 0, 1.000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
318  0, 0, 0, 0, 1.000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
319  0, 0, 0, 0, 0, 1.000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
320  0, 0, 0, 0, 0, 0, 1.000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
321  0, 0, 0, 0, 0, 0, 0, 1.000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
322  0, 0, 0, 0, 0, 0, 0, 0, 1.000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
323  0, 0, 0, 0, 0, 0, 0, 0, 0, 1.000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
324  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
325  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
326  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
327  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
328  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
329  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
330  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
331  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.000, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
332  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.000, 0, 0, 0, 0, 0, 0, 0, 0, \
333  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.000, 0, 0, 0, 0, 0, 0, 0, \
334  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.000, 0, 0, 0, 0, 0, 0, \
335  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.000, 0, 0, 0, 0, 0, \
336  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.000, 0, 0, 0, 0, \
337  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.000, 0, 0, 0, \
338  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.000, 0, 0, \
339  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.000, 0, \
340  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.000 };
341 
342 
343  // GRAD, D1, D2, D3 and D4 test values are stored in files due to their large size
344  std::string fileName;
345  std::ifstream dataFile;
346 
347  // GRAD and D1 values are stored in (F,P,D) format in a data file. Read file and do the test
348  std::vector<double> basisGrads; // Flat array for the gradient values.
349 
350  fileName = "./testdata/HEX_C2_GradVals.dat";
351  dataFile.open(fileName.c_str());
352  TEUCHOS_TEST_FOR_EXCEPTION( !dataFile.good(), std::logic_error,
353  ">>> ERROR (HGRAD_HEX_C2/test01): could not open GRAD values data file, test aborted.");
354  while (!dataFile.eof() ){
355  double temp;
356  string line; // string for one line of input file
357  std::getline(dataFile, line); // get next line from file
358  stringstream data_line(line); // convert to stringstream
359  while(data_line >> temp){ // extract value from line
360  basisGrads.push_back(temp); // push into vector
361  }
362  }
363  // It turns out that just closing and then opening the ifstream variable does not reset it
364  // and subsequent open() command fails. One fix is to explicitely clear the ifstream, or
365  // scope the variables.
366  dataFile.close();
367  dataFile.clear();
368 
369 
370  //D2: flat array with the values of D2 applied to basis functions. Multi-index is (F,P,D2cardinality)
371  std::vector<double> basisD2;
372  fileName = "./testdata/HEX_C2_D2Vals.dat";
373  dataFile.open(fileName.c_str());
374  TEUCHOS_TEST_FOR_EXCEPTION( !dataFile.good(), std::logic_error,
375  ">>> ERROR (HGRAD_HEX_C2/test01): could not open D2 values data file, test aborted.");
376  while (!dataFile.eof() ){
377  double temp;
378  string line; // string for one line of input file
379  std::getline(dataFile, line); // get next line from file
380  stringstream data_line(line); // convert to stringstream
381  while(data_line >> temp){ // extract value from line
382  basisD2.push_back(temp); // push into vector
383  }
384  }
385  dataFile.close();
386  dataFile.clear();
387 
388 
389  //D3: flat array with the values of D3 applied to basis functions. Multi-index is (F,P,D3cardinality)
390  std::vector<double> basisD3;
391 
392  fileName = "./testdata/HEX_C2_D3Vals.dat";
393  dataFile.open(fileName.c_str());
394  TEUCHOS_TEST_FOR_EXCEPTION( !dataFile.good(), std::logic_error,
395  ">>> ERROR (HGRAD_HEX_C2/test01): could not open D3 values data file, test aborted.");
396 
397  while (!dataFile.eof() ){
398  double temp;
399  string line; // string for one line of input file
400  std::getline(dataFile, line); // get next line from file
401  stringstream data_line(line); // convert to stringstream
402  while(data_line >> temp){ // extract value from line
403  basisD3.push_back(temp); // push into vector
404  }
405  }
406  dataFile.close();
407  dataFile.clear();
408 
409 
410  //D4: flat array with the values of D applied to basis functions. Multi-index is (F,P,D4cardinality)
411  std::vector<double> basisD4;
412 
413  fileName = "./testdata/HEX_C2_D4Vals.dat";
414  dataFile.open(fileName.c_str());
415  TEUCHOS_TEST_FOR_EXCEPTION( !dataFile.good(), std::logic_error,
416  ">>> ERROR (HGRAD_HEX_C2/test01): could not open D4 values data file, test aborted.");
417 
418  while (!dataFile.eof() ){
419  double temp;
420  string line; // string for one line of input file
421  std::getline(dataFile, line); // get next line from file
422  stringstream data_line(line); // convert to stringstream
423  while(data_line >> temp){ // extract value from line
424  basisD4.push_back(temp); // push into vector
425  }
426  }
427  dataFile.close();
428  dataFile.clear();
429 
430 
431  try{
432 
433  // Dimensions for the output arrays:
434  int numFields = hexBasis.getCardinality();
435  int numPoints = hexNodes.dimension(0);
436  int spaceDim = hexBasis.getBaseCellTopology().getDimension();
437 
438  // Generic array for values, grads, curls, etc. that will be properly sized before each call
439  FieldContainer<double> vals;
440 
441  // Check VALUE of basis functions: resize vals to rank-2 container:
442  vals.resize(numFields, numPoints);
443  hexBasis.getValues(vals, hexNodes, OPERATOR_VALUE);
444  for (int i = 0; i < numFields; i++) {
445  for (int j = 0; j < numPoints; j++) {
446  int l = i + j * numFields;
447  if (std::abs(vals(i,j) - basisValues[l]) > INTREPID_TOL) {
448  errorFlag++;
449  *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
450 
451  // Output the multi-index of the value where the error is:
452  *outStream << " At multi-index { ";
453  *outStream << i << " ";*outStream << j << " ";
454  *outStream << "} computed value: " << vals(i,j)
455  << " but reference value: " << basisValues[l] << "\n";
456  }
457  }
458  }
459 
460  // Check GRAD of basis function: resize vals to rank-3 container
461  vals.resize(numFields, numPoints, spaceDim);
462  hexBasis.getValues(vals, hexNodes, OPERATOR_GRAD);
463  for (int i = 0; i < numFields; i++) {
464  for (int j = 0; j < numPoints; j++) {
465  for (int k = 0; k < spaceDim; k++) {
466 
467  // basisGrads is (F,P,D), compute offset:
468  int l = k + j * spaceDim + i * spaceDim * numPoints;
469  if (std::abs(vals(i,j,k) - basisGrads[l]) > INTREPID_TOL) {
470  errorFlag++;
471  *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
472 
473  // Output the multi-index of the value where the error is:
474  *outStream << " At multi-index { ";
475  *outStream << i << " ";*outStream << j << " ";*outStream << k << " ";
476  *outStream << "} computed grad component: " << vals(i,j,k)
477  << " but reference grad component: " << basisGrads[l] << "\n";
478  }
479  }
480  }
481  }
482 
483  // Check D1 of basis function (do not resize vals because it has the correct size: D1 = GRAD)
484  hexBasis.getValues(vals, hexNodes, OPERATOR_D1);
485  for (int i = 0; i < numFields; i++) {
486  for (int j = 0; j < numPoints; j++) {
487  for (int k = 0; k < spaceDim; k++) {
488 
489  // basisGrads is (F,P,D), compute offset:
490  int l = k + j * spaceDim + i * spaceDim * numPoints;
491  if (std::abs(vals(i,j,k) - basisGrads[l]) > INTREPID_TOL) {
492  errorFlag++;
493  *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
494 
495  // Output the multi-index of the value where the error is:
496  *outStream << " At multi-index { ";
497  *outStream << i << " ";*outStream << j << " ";*outStream << k << " ";
498  *outStream << "} computed D1 component: " << vals(i,j,k)
499  << " but reference D1 component: " << basisGrads[l] << "\n";
500  }
501  }
502  }
503  }
504 
505 
506  // Check D2 of basis function
507  int D2cardinality = Intrepid::getDkCardinality(OPERATOR_D2, spaceDim);
508  vals.resize(numFields, numPoints, D2cardinality);
509  hexBasis.getValues(vals, hexNodes, OPERATOR_D2);
510  for (int i = 0; i < numFields; i++) {
511  for (int j = 0; j < numPoints; j++) {
512  for (int k = 0; k < D2cardinality; k++) {
513 
514  // basisD2 is (F,P,Dk), compute offset:
515  int l = k + j * D2cardinality + i * D2cardinality * numPoints;
516  if (std::abs(vals(i,j,k) - basisD2[l]) > INTREPID_TOL) {
517  errorFlag++;
518  *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
519 
520  // Output the multi-index of the value where the error is:
521  *outStream << " At multi-index { ";
522  *outStream << i << " ";*outStream << j << " ";*outStream << k << " ";
523  *outStream << "} computed D2 component: " << vals(i,j,k)
524  << " but reference D2 component: " << basisD2[l] << "\n";
525  }
526  }
527  }
528  }
529 
530 
531  // Check D3 of basis function
532  int D3cardinality = Intrepid::getDkCardinality(OPERATOR_D3, spaceDim);
533  vals.resize(numFields, numPoints, D3cardinality);
534  hexBasis.getValues(vals, hexNodes, OPERATOR_D3);
535 
536  for (int i = 0; i < numFields; i++) {
537  for (int j = 0; j < numPoints; j++) {
538  for (int k = 0; k < D3cardinality; k++) {
539 
540  // basisD3 is (F,P,Dk), compute offset:
541  int l = k + j * D3cardinality + i * D3cardinality * numPoints;
542  if (std::abs(vals(i,j,k) - basisD3[l]) > INTREPID_TOL) {
543  errorFlag++;
544  *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
545 
546  // Output the multi-index of the value where the error is:
547  *outStream << " At multi-index { ";
548  *outStream << i << " ";*outStream << j << " ";*outStream << k << " ";
549  *outStream << "} computed D3 component: " << vals(i,j,k)
550  << " but reference D3 component: " << basisD3[l] << "\n";
551  }
552  }
553  }
554  }
555 
556 
557  // Check D4 of basis function
558  int D4cardinality = Intrepid::getDkCardinality(OPERATOR_D4, spaceDim);
559  vals.resize(numFields, numPoints, D4cardinality);
560  hexBasis.getValues(vals, hexNodes, OPERATOR_D4);
561  for (int i = 0; i < numFields; i++) {
562  for (int j = 0; j < numPoints; j++) {
563  for (int k = 0; k < D4cardinality; k++) {
564 
565  // basisD4 is (F,P,Dk), compute offset:
566  int l = k + j * D4cardinality + i * D4cardinality * numPoints;
567  if (std::abs(vals(i,j,k) - basisD4[l]) > INTREPID_TOL) {
568  errorFlag++;
569  *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
570 
571  // Output the multi-index of the value where the error is:
572  *outStream << " At multi-index { ";
573  *outStream << i << " ";*outStream << j << " ";*outStream << k << " ";
574  *outStream << "} computed D4 component: " << vals(i,j,k)
575  << " but reference D4 component: " << basisD2[l] << "\n";
576  }
577  }
578  }
579  }
580 
581 
582 
583  // Check D7 to D10 - must be zero. This basis does not cover D5 and D6
584  for(EOperator op = OPERATOR_D7; op < OPERATOR_MAX; op++) {
585 
586  // The last dimension is the number of kth derivatives and needs to be resized for every Dk
587  int DkCardin = Intrepid::getDkCardinality(op, spaceDim);
588  vals.resize(numFields, numPoints, DkCardin);
589 
590  hexBasis.getValues(vals, hexNodes, op);
591  for (int i = 0; i < vals.size(); i++) {
592  if (std::abs(vals[i]) > INTREPID_TOL) {
593  errorFlag++;
594  *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
595 
596  // Get the multi-index of the value where the error is and the operator order
597  std::vector<int> myIndex;
598  vals.getMultiIndex(myIndex,i);
599  int ord = Intrepid::getOperatorOrder(op);
600  *outStream << " At multi-index { ";
601  for(int j = 0; j < vals.rank(); j++) {
602  *outStream << myIndex[j] << " ";
603  }
604  *outStream << "} computed D"<< ord <<" component: " << vals[i]
605  << " but reference D" << ord << " component: 0 \n";
606  }
607  }
608  }
609  }
610  // Catch unexpected errors
611  catch (const std::logic_error & err) {
612  *outStream << err.what() << "\n\n";
613  errorFlag = -1000;
614  };
615 
616  if (errorFlag != 0)
617  std::cout << "End Result: TEST FAILED\n";
618  else
619  std::cout << "End Result: TEST PASSED\n";
620 
621  // reset format state of std::cout
622  std::cout.copyfmt(oldFormatState);
623 
624  return errorFlag;
625 }
Intrepid::FieldContainer::size
int size() const
Returns size of the FieldContainer defined as the product of its dimensions.
Definition: Intrepid_FieldContainerDef.hpp:601
Intrepid_PointTools.hpp
Header file for utility class to provide point tools, such as barycentric coordinates, equispaced lattices, and warp-blend point distrubtions.
Intrepid_FieldContainer.hpp
Header file for utility class to provide multidimensional containers.
Intrepid::FieldContainer::getMultiIndex
void getMultiIndex(int &i0, const int valueEnum) const
Returns the multi-index of a value, based on its enumeration, as a list, for rank-1 containers...
Definition: Intrepid_FieldContainerDef.hpp:863
Intrepid_HGRAD_HEX_Cn_FEM.hpp
Header file for the Intrepid::HGRAD_HEX_Cn_FEM class.
Intrepid::FieldContainer::rank
int rank() const
Return rank of the FieldContainer = number of indices used to tag the multi-indexed value...
Definition: Intrepid_FieldContainerDef.hpp:594
Intrepid::Basis_HGRAD_HEX_Cn_FEM
Implementation of the default H(grad)-compatible FEM basis of degree 2 on Hexahedron cell...
Definition: Intrepid_HGRAD_HEX_Cn_FEM.hpp:72
Intrepid::FieldContainer::resize
void resize(const int dim0)
Resizes FieldContainer to a rank-1 container with the specified dimension, initialized by 0...
Definition: Intrepid_FieldContainerDef.hpp:1137
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