Intrepid
test_01.cpp
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43 
48 #include "Intrepid_FieldContainer.hpp"
49 #include "Intrepid_HGRAD_HEX_C2_FEM.hpp"
50 #include "Teuchos_oblackholestream.hpp"
51 #include "Teuchos_RCP.hpp"
52 #include "Teuchos_GlobalMPISession.hpp"
53 
54 using namespace std;
55 using namespace Intrepid;
56 
57 #define INTREPID_TEST_COMMAND( S , throwCounter, nException ) \
58 { \
59  ++nException; \
60  try { \
61  S ; \
62  } \
63  catch (const std::logic_error & err) { \
64  ++throwCounter; \
65  *outStream << "Expected Error " << nException << " -------------------------------------------------------------\n"; \
66  *outStream << err.what() << '\n'; \
67  *outStream << "-------------------------------------------------------------------------------" << "\n\n"; \
68  }; \
69 }
70 
71 int main(int argc, char *argv[]) {
72 
73  Teuchos::GlobalMPISession mpiSession(&argc, &argv);
74 
75  // This little trick lets us print to std::cout only if
76  // a (dummy) command-line argument is provided.
77  int iprint = argc - 1;
78  Teuchos::RCP<std::ostream> outStream;
79  Teuchos::oblackholestream bhs; // outputs nothing
80  if (iprint > 0)
81  outStream = Teuchos::rcp(&std::cout, false);
82  else
83  outStream = Teuchos::rcp(&bhs, false);
84 
85  // Save the format state of the original std::cout.
86  Teuchos::oblackholestream oldFormatState;
87  oldFormatState.copyfmt(std::cout);
88 
89  *outStream \
90  << "===============================================================================\n" \
91  << "| |\n" \
92  << "| Unit Test (Basis_HGRAD_HEX_C2_FEM) |\n" \
93  << "| |\n" \
94  << "| 1) Conversion of Dof tags into Dof ordinals and back |\n" \
95  << "| 2) Basis values for VALUE, GRAD, and Dk operators |\n" \
96  << "| |\n" \
97  << "| Questions? Contact Pavel Bochev (pbboche@sandia.gov), |\n" \
98  << "| Denis Ridzal (dridzal@sandia.gov), |\n" \
99  << "| Kara Peterson (kjpeter@sandia.gov). |\n" \
100  << "| |\n" \
101  << "| Intrepid's website: http://trilinos.sandia.gov/packages/intrepid |\n" \
102  << "| Trilinos website: http://trilinos.sandia.gov |\n" \
103  << "| |\n" \
104  << "===============================================================================\n"\
105  << "| TEST 1: Basis creation, exception testing |\n"\
106  << "===============================================================================\n";
107 
108  // Define basis and error flag
109  Basis_HGRAD_HEX_C2_FEM<double, FieldContainer<double> > hexBasis;
110  int errorFlag = 0;
111 
112  // Initialize throw counter for exception testing
113  int nException = 0;
114  int throwCounter = 0;
115 
116  // Define arrayS containing the 27 nodes of hexahedron<27> topology
117  FieldContainer<double> hexNodes(27, 3);
118  // vertices
119  hexNodes(0, 0) = -1.0; hexNodes(0, 1) = -1.0; hexNodes(0, 2) = -1.0;
120  hexNodes(1, 0) = 1.0; hexNodes(1, 1) = -1.0; hexNodes(1, 2) = -1.0;
121  hexNodes(2, 0) = 1.0; hexNodes(2, 1) = 1.0; hexNodes(2, 2) = -1.0;
122  hexNodes(3, 0) = -1.0; hexNodes(3, 1) = 1.0; hexNodes(3, 2) = -1.0;
123 
124  hexNodes(4, 0) = -1.0; hexNodes(4, 1) = -1.0; hexNodes(4, 2) = 1.0;
125  hexNodes(5, 0) = 1.0; hexNodes(5, 1) = -1.0; hexNodes(5, 2) = 1.0;
126  hexNodes(6, 0) = 1.0; hexNodes(6, 1) = 1.0; hexNodes(6, 2) = 1.0;
127  hexNodes(7, 0) = -1.0; hexNodes(7, 1) = 1.0; hexNodes(7, 2) = 1.0;
128 
129  // nodes on edges
130  hexNodes(8, 0) = 0.0; hexNodes(8, 1) = -1.0; hexNodes(8, 2) = -1.0;
131  hexNodes(9, 0) = 1.0; hexNodes(9, 1) = 0.0; hexNodes(9, 2) = -1.0;
132  hexNodes(10,0) = 0.0; hexNodes(10,1) = 1.0; hexNodes(10,2) = -1.0;
133  hexNodes(11,0) = -1.0; hexNodes(11,1) = 0.0; hexNodes(11,2) = -1.0;
134  hexNodes(12,0) = -1.0; hexNodes(12,1) = -1.0; hexNodes(12,2) = 0.0;
135  hexNodes(13,0) = 1.0; hexNodes(13,1) = -1.0; hexNodes(13,2) = 0.0;
136  hexNodes(14,0) = 1.0; hexNodes(14,1) = 1.0; hexNodes(14,2) = 0.0;
137  hexNodes(15,0) = -1.0; hexNodes(15,1) = 1.0; hexNodes(15,2) = 0.0;
138  hexNodes(16,0) = 0.0; hexNodes(16,1) = -1.0; hexNodes(16,2) = 1.0;
139  hexNodes(17,0) = 1.0; hexNodes(17,1) = 0.0; hexNodes(17,2) = 1.0;
140  hexNodes(18,0) = 0.0; hexNodes(18,1) = 1.0; hexNodes(18,2) = 1.0;
141  hexNodes(19,0) = -1.0; hexNodes(19,1) = 0.0; hexNodes(19,2) = 1.0;
142 
143  // center
144  hexNodes(20,0) = 0.0; hexNodes(20,1) = 0.0; hexNodes(20,2) = 0.0;
145 
146  // Face nodes
147  hexNodes(21,0) = 0.0; hexNodes(21,1) = 0.0; hexNodes(21,2) = -1.0;
148  hexNodes(22,0) = 0.0; hexNodes(22,1) = 0.0; hexNodes(22,2) = 1.0;
149  hexNodes(23,0) = -1.0; hexNodes(23,1) = 0.0; hexNodes(23,2) = 0.0;
150  hexNodes(24,0) = 1.0; hexNodes(24,1) = 0.0; hexNodes(24,2) = 0.0;
151  hexNodes(25,0) = 0.0; hexNodes(25,1) = -1.0; hexNodes(25,2) = 0.0;
152  hexNodes(26,0) = 0.0; hexNodes(26,1) = 1.0; hexNodes(26,2) = 0.0;
153 
154  // Generic array for the output values; needs to be properly resized depending on the operator type
155  FieldContainer<double> vals;
156 
157  try{
158  // exception #1: CURL cannot be applied to scalar functions in 3D
159  // resize vals to rank-3 container with dimensions (num. basis functions, num. points, arbitrary)
160  vals.resize(hexBasis.getCardinality(), hexNodes.dimension(0), 4 );
161  INTREPID_TEST_COMMAND( hexBasis.getValues(vals, hexNodes, OPERATOR_CURL), throwCounter, nException );
162 
163  // exception #2: DIV cannot be applied to scalar functions in 3D
164  // resize vals to rank-2 container with dimensions (num. basis functions, num. points)
165  vals.resize(hexBasis.getCardinality(), hexNodes.dimension(0) );
166  INTREPID_TEST_COMMAND( hexBasis.getValues(vals, hexNodes, OPERATOR_DIV), throwCounter, nException );
167 
168  // Exceptions 3-7: all bf tags/bf Ids below are wrong and should cause getDofOrdinal() and
169  // getDofTag() to access invalid array elements thereby causing bounds check exception
170  // exception #3
171  INTREPID_TEST_COMMAND( hexBasis.getDofOrdinal(3,10,0), throwCounter, nException );
172  // exception #4
173  INTREPID_TEST_COMMAND( hexBasis.getDofOrdinal(1,2,1), throwCounter, nException );
174  // exception #5
175  INTREPID_TEST_COMMAND( hexBasis.getDofOrdinal(0,4,1), throwCounter, nException );
176  // exception #6
177  INTREPID_TEST_COMMAND( hexBasis.getDofTag(28), throwCounter, nException );
178  // exception #7
179  INTREPID_TEST_COMMAND( hexBasis.getDofTag(-1), throwCounter, nException );
180 
181 #ifdef HAVE_INTREPID_DEBUG
182  // Exceptions 8-18 test exception handling with incorrectly dimensioned input/output arrays
183  // exception #8: input points array must be of rank-2
184  FieldContainer<double> badPoints1(4, 5, 3);
185  INTREPID_TEST_COMMAND( hexBasis.getValues(vals, badPoints1, OPERATOR_VALUE), throwCounter, nException );
186 
187  // exception #9 dimension 1 in the input point array must equal space dimension of the cell
188  FieldContainer<double> badPoints2(4, hexBasis.getBaseCellTopology().getDimension() - 1);
189  INTREPID_TEST_COMMAND( hexBasis.getValues(vals, badPoints2, OPERATOR_VALUE), throwCounter, nException );
190 
191  // exception #10 output values must be of rank-2 for OPERATOR_VALUE
192  FieldContainer<double> badVals1(4, 3, 1);
193  INTREPID_TEST_COMMAND( hexBasis.getValues(badVals1, hexNodes, OPERATOR_VALUE), throwCounter, nException );
194 
195  // exception #11 output values must be of rank-3 for OPERATOR_GRAD
196  FieldContainer<double> badVals2(4, 3);
197  INTREPID_TEST_COMMAND( hexBasis.getValues(badVals2, hexNodes, OPERATOR_GRAD), throwCounter, nException );
198 
199  // exception #12 output values must be of rank-3 for OPERATOR_D1
200  INTREPID_TEST_COMMAND( hexBasis.getValues(badVals2, hexNodes, OPERATOR_D1), throwCounter, nException );
201 
202  // exception #13 output values must be of rank-3 for OPERATOR_D2
203  INTREPID_TEST_COMMAND( hexBasis.getValues(badVals2, hexNodes, OPERATOR_D2), throwCounter, nException );
204 
205  // exception #14 incorrect 0th dimension of output array (must equal number of basis functions)
206  FieldContainer<double> badVals3(hexBasis.getCardinality() + 1, hexNodes.dimension(0));
207  INTREPID_TEST_COMMAND( hexBasis.getValues(badVals3, hexNodes, OPERATOR_VALUE), throwCounter, nException );
208 
209  // exception #15 incorrect 1st dimension of output array (must equal number of points)
210  FieldContainer<double> badVals4(hexBasis.getCardinality(), hexNodes.dimension(0) + 1);
211  INTREPID_TEST_COMMAND( hexBasis.getValues(badVals4, hexNodes, OPERATOR_VALUE), throwCounter, nException );
212 
213  // exception #16: incorrect 2nd dimension of output array (must equal the space dimension)
214  FieldContainer<double> badVals5(hexBasis.getCardinality(), hexNodes.dimension(0), hexBasis.getBaseCellTopology().getDimension() - 1);
215  INTREPID_TEST_COMMAND( hexBasis.getValues(badVals5, hexNodes, OPERATOR_GRAD), throwCounter, nException );
216 
217  // exception #17: incorrect 2nd dimension of output array (must equal D2 cardinality in 3D)
218  FieldContainer<double> badVals6(hexBasis.getCardinality(), hexNodes.dimension(0), 40);
219  INTREPID_TEST_COMMAND( hexBasis.getValues(badVals6, hexNodes, OPERATOR_D2), throwCounter, nException );
220 
221  // exception #18: incorrect 2nd dimension of output array (must equal D3 cardinality in 3D)
222  FieldContainer<double> badVals7(hexBasis.getCardinality(), hexNodes.dimension(0), 50);
223  INTREPID_TEST_COMMAND( hexBasis.getValues(badVals7, hexNodes, OPERATOR_D3), throwCounter, nException );
224 #endif
225 
226  }
227  catch (const std::logic_error & err) {
228  *outStream << "UNEXPECTED ERROR !!! ----------------------------------------------------------\n";
229  *outStream << err.what() << '\n';
230  *outStream << "-------------------------------------------------------------------------------" << "\n\n";
231  errorFlag = -1000;
232  };
233 
234  // Check if number of thrown exceptions matches the one we expect
235  // Note Teuchos throw number will not pick up exceptions 3-7 and therefore will not match.
236  if (throwCounter != nException) {
237  errorFlag++;
238  *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
239  }
240 
241  *outStream \
242  << "\n"
243  << "===============================================================================\n"\
244  << "| TEST 2: correctness of tag to enum and enum to tag lookups |\n"\
245  << "===============================================================================\n";
246 
247  try{
248  std::vector<std::vector<int> > allTags = hexBasis.getAllDofTags();
249 
250  // Loop over all tags, lookup the associated dof enumeration and then lookup the tag again
251  for (unsigned i = 0; i < allTags.size(); i++) {
252  int bfOrd = hexBasis.getDofOrdinal(allTags[i][0], allTags[i][1], allTags[i][2]);
253 
254  std::vector<int> myTag = hexBasis.getDofTag(bfOrd);
255  if( !( (myTag[0] == allTags[i][0]) &&
256  (myTag[1] == allTags[i][1]) &&
257  (myTag[2] == allTags[i][2]) &&
258  (myTag[3] == allTags[i][3]) ) ) {
259  errorFlag++;
260  *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
261  *outStream << " getDofOrdinal( {"
262  << allTags[i][0] << ", "
263  << allTags[i][1] << ", "
264  << allTags[i][2] << ", "
265  << allTags[i][3] << "}) = " << bfOrd <<" but \n";
266  *outStream << " getDofTag(" << bfOrd << ") = { "
267  << myTag[0] << ", "
268  << myTag[1] << ", "
269  << myTag[2] << ", "
270  << myTag[3] << "}\n";
271  }
272  }
273 
274  // Now do the same but loop over basis functions
275  for( int bfOrd = 0; bfOrd < hexBasis.getCardinality(); bfOrd++) {
276  std::vector<int> myTag = hexBasis.getDofTag(bfOrd);
277  int myBfOrd = hexBasis.getDofOrdinal(myTag[0], myTag[1], myTag[2]);
278  if( bfOrd != myBfOrd) {
279  errorFlag++;
280  *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
281  *outStream << " getDofTag(" << bfOrd << ") = { "
282  << myTag[0] << ", "
283  << myTag[1] << ", "
284  << myTag[2] << ", "
285  << myTag[3] << "} but getDofOrdinal({"
286  << myTag[0] << ", "
287  << myTag[1] << ", "
288  << myTag[2] << ", "
289  << myTag[3] << "} ) = " << myBfOrd << "\n";
290  }
291  }
292  }
293  catch (const std::logic_error & err){
294  *outStream << err.what() << "\n\n";
295  errorFlag = -1000;
296  };
297 
298 
299  *outStream \
300  << "\n"
301  << "===============================================================================\n"\
302  << "| TEST 3: correctness of basis function values |\n"\
303  << "===============================================================================\n";
304 
305  outStream -> precision(20);
306 
307  // VALUE: Each row gives the 8 correct basis set values at an evaluation point
308  double basisValues[] = {
309  1.000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
310  0, 0, 0, 0, 0, 0, 1.000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
311  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.000, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
312  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.000, 0, 0, 0, \
313  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
314  0, 1.000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
315  0, 0, 0, 0, 0, 0, 0, 1.000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
316  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.000, 0, 0, 0, 0, 0, 0, 0, 0, \
317  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.000, 0, 0, \
318  0, 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, 1.000, 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, 0, 0, 1.000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
321  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.000, 0, 0, 0, 0, 0, 0, 0, \
322  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.000, 0, \
323  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
324  0, 0, 0, 1.000, 0, 0, 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, 1.000, 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, 0, 0, 0, 1.000, 0, 0, 0, 0, 0, 0, \
327  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.000, \
328  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
329  0, 0, 0, 0, 1.000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
330  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.000, 0, 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, 1.000, 0, 0, 0, 0, 0, \
332  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
333  1.000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
334  0, 0, 0, 0, 0, 0, 1.000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
335  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.000, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
336  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.000, 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, \
338  0, 1.000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
339  0, 0, 0, 0, 0, 0, 0, 1.000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
340  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.000, 0, 0, 0, 0, 0, 0, 0, 0, \
341  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.000 };
342 
343 
344  // GRAD, D1, D2, D3 and D4 test values are stored in files due to their large size
345  std::string fileName;
346  std::ifstream dataFile;
347 
348  // GRAD and D1 values are stored in (F,P,D) format in a data file. Read file and do the test
349  std::vector<double> basisGrads; // Flat array for the gradient values.
350 
351  fileName = "./testdata/HEX_C2_GradVals.dat";
352  dataFile.open(fileName.c_str());
353  TEUCHOS_TEST_FOR_EXCEPTION( !dataFile.good(), std::logic_error,
354  ">>> ERROR (HGRAD_HEX_C2/test01): could not open GRAD values data file, test aborted.");
355  while (!dataFile.eof() ){
356  double temp;
357  string line; // string for one line of input file
358  std::getline(dataFile, line); // get next line from file
359  stringstream data_line(line); // convert to stringstream
360  while(data_line >> temp){ // extract value from line
361  basisGrads.push_back(temp); // push into vector
362  }
363  }
364  // It turns out that just closing and then opening the ifstream variable does not reset it
365  // and subsequent open() command fails. One fix is to explicitely clear the ifstream, or
366  // scope the variables.
367  dataFile.close();
368  dataFile.clear();
369 
370 
371  //D2: flat array with the values of D2 applied to basis functions. Multi-index is (F,P,D2cardinality)
372  std::vector<double> basisD2;
373  fileName = "./testdata/HEX_C2_D2Vals.dat";
374  dataFile.open(fileName.c_str());
375  TEUCHOS_TEST_FOR_EXCEPTION( !dataFile.good(), std::logic_error,
376  ">>> ERROR (HGRAD_HEX_C2/test01): could not open D2 values data file, test aborted.");
377  while (!dataFile.eof() ){
378  double temp;
379  string line; // string for one line of input file
380  std::getline(dataFile, line); // get next line from file
381  stringstream data_line(line); // convert to stringstream
382  while(data_line >> temp){ // extract value from line
383  basisD2.push_back(temp); // push into vector
384  }
385  }
386  dataFile.close();
387  dataFile.clear();
388 
389 
390  //D3: flat array with the values of D3 applied to basis functions. Multi-index is (F,P,D3cardinality)
391  std::vector<double> basisD3;
392 
393  fileName = "./testdata/HEX_C2_D3Vals.dat";
394  dataFile.open(fileName.c_str());
395  TEUCHOS_TEST_FOR_EXCEPTION( !dataFile.good(), std::logic_error,
396  ">>> ERROR (HGRAD_HEX_C2/test01): could not open D3 values data file, test aborted.");
397 
398  while (!dataFile.eof() ){
399  double temp;
400  string line; // string for one line of input file
401  std::getline(dataFile, line); // get next line from file
402  stringstream data_line(line); // convert to stringstream
403  while(data_line >> temp){ // extract value from line
404  basisD3.push_back(temp); // push into vector
405  }
406  }
407  dataFile.close();
408  dataFile.clear();
409 
410 
411  //D4: flat array with the values of D3 applied to basis functions. Multi-index is (F,P,D4cardinality)
412  std::vector<double> basisD4;
413 
414  fileName = "./testdata/HEX_C2_D4Vals.dat";
415  dataFile.open(fileName.c_str());
416  TEUCHOS_TEST_FOR_EXCEPTION( !dataFile.good(), std::logic_error,
417  ">>> ERROR (HGRAD_HEX_C2/test01): could not open D4 values data file, test aborted.");
418 
419  while (!dataFile.eof() ){
420  double temp;
421  string line; // string for one line of input file
422  std::getline(dataFile, line); // get next line from file
423  stringstream data_line(line); // convert to stringstream
424  while(data_line >> temp){ // extract value from line
425  basisD4.push_back(temp); // push into vector
426  }
427  }
428  dataFile.close();
429  dataFile.clear();
430 
431 
432  try{
433 
434  // Dimensions for the output arrays:
435  int numFields = hexBasis.getCardinality();
436  int numPoints = hexNodes.dimension(0);
437  int spaceDim = hexBasis.getBaseCellTopology().getDimension();
438 
439  // Generic array for values, grads, curls, etc. that will be properly sized before each call
440  FieldContainer<double> vals;
441 
442  // Check VALUE of basis functions: resize vals to rank-2 container:
443  vals.resize(numFields, numPoints);
444  hexBasis.getValues(vals, hexNodes, OPERATOR_VALUE);
445  for (int i = 0; i < numFields; i++) {
446  for (int j = 0; j < numPoints; j++) {
447  int l = i + j * numFields;
448  if (std::abs(vals(i,j) - basisValues[l]) > INTREPID_TOL) {
449  errorFlag++;
450  *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
451 
452  // Output the multi-index of the value where the error is:
453  *outStream << " At multi-index { ";
454  *outStream << i << " ";*outStream << j << " ";
455  *outStream << "} computed value: " << vals(i,j)
456  << " but reference value: " << basisValues[l] << "\n";
457  }
458  }
459  }
460 
461 
462  // Check GRAD of basis function: resize vals to rank-3 container
463  vals.resize(numFields, numPoints, spaceDim);
464  hexBasis.getValues(vals, hexNodes, OPERATOR_GRAD);
465  for (int i = 0; i < numFields; i++) {
466  for (int j = 0; j < numPoints; j++) {
467  for (int k = 0; k < spaceDim; k++) {
468 
469  // basisGrads is (F,P,D), compute offset:
470  int l = k + j * spaceDim + i * spaceDim * numPoints;
471  if (std::abs(vals(i,j,k) - basisGrads[l]) > INTREPID_TOL) {
472  errorFlag++;
473  *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
474 
475  // Output the multi-index of the value where the error is:
476  *outStream << " At multi-index { ";
477  *outStream << i << " ";*outStream << j << " ";*outStream << k << " ";
478  *outStream << "} computed grad component: " << vals(i,j,k)
479  << " but reference grad component: " << basisGrads[l] << "\n";
480  }
481  }
482  }
483  }
484 
485  // Check D1 of basis function (do not resize vals because it has the correct size: D1 = GRAD)
486  hexBasis.getValues(vals, hexNodes, OPERATOR_D1);
487  for (int i = 0; i < numFields; i++) {
488  for (int j = 0; j < numPoints; j++) {
489  for (int k = 0; k < spaceDim; k++) {
490 
491  // basisGrads is (F,P,D), compute offset:
492  int l = k + j * spaceDim + i * spaceDim * numPoints;
493  if (std::abs(vals(i,j,k) - basisGrads[l]) > INTREPID_TOL) {
494  errorFlag++;
495  *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
496 
497  // Output the multi-index of the value where the error is:
498  *outStream << " At multi-index { ";
499  *outStream << i << " ";*outStream << j << " ";*outStream << k << " ";
500  *outStream << "} computed D1 component: " << vals(i,j,k)
501  << " but reference D1 component: " << basisGrads[l] << "\n";
502  }
503  }
504  }
505  }
506 
507 
508  // Check D2 of basis function
509  int D2cardinality = Intrepid::getDkCardinality(OPERATOR_D2, spaceDim);
510  vals.resize(numFields, numPoints, D2cardinality);
511  hexBasis.getValues(vals, hexNodes, OPERATOR_D2);
512  for (int i = 0; i < numFields; i++) {
513  for (int j = 0; j < numPoints; j++) {
514  for (int k = 0; k < D2cardinality; k++) {
515 
516  // basisD2 is (F,P,Dk), compute offset:
517  int l = k + j * D2cardinality + i * D2cardinality * numPoints;
518  if (std::abs(vals(i,j,k) - basisD2[l]) > INTREPID_TOL) {
519  errorFlag++;
520  *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
521 
522  // Output the multi-index of the value where the error is:
523  *outStream << " At multi-index { ";
524  *outStream << i << " ";*outStream << j << " ";*outStream << k << " ";
525  *outStream << "} computed D2 component: " << vals(i,j,k)
526  << " but reference D2 component: " << basisD2[l] << "\n";
527  }
528  }
529  }
530  }
531 
532 
533  // Check D3 of basis function
534  int D3cardinality = Intrepid::getDkCardinality(OPERATOR_D3, spaceDim);
535  vals.resize(numFields, numPoints, D3cardinality);
536  hexBasis.getValues(vals, hexNodes, OPERATOR_D3);
537 
538  for (int i = 0; i < numFields; i++) {
539  for (int j = 0; j < numPoints; j++) {
540  for (int k = 0; k < D3cardinality; k++) {
541 
542  // basisD3 is (F,P,Dk), compute offset:
543  int l = k + j * D3cardinality + i * D3cardinality * numPoints;
544  if (std::abs(vals(i,j,k) - basisD3[l]) > INTREPID_TOL) {
545  errorFlag++;
546  *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
547 
548  // Output the multi-index of the value where the error is:
549  *outStream << " At multi-index { ";
550  *outStream << i << " ";*outStream << j << " ";*outStream << k << " ";
551  *outStream << "} computed D3 component: " << vals(i,j,k)
552  << " but reference D3 component: " << basisD3[l] << "\n";
553  }
554  }
555  }
556  }
557 
558 
559  // Check D4 of basis function
560  int D4cardinality = Intrepid::getDkCardinality(OPERATOR_D4, spaceDim);
561  vals.resize(numFields, numPoints, D4cardinality);
562  hexBasis.getValues(vals, hexNodes, OPERATOR_D4);
563  for (int i = 0; i < numFields; i++) {
564  for (int j = 0; j < numPoints; j++) {
565  for (int k = 0; k < D4cardinality; k++) {
566 
567  // basisD4 is (F,P,Dk), compute offset:
568  int l = k + j * D4cardinality + i * D4cardinality * numPoints;
569  if (std::abs(vals(i,j,k) - basisD4[l]) > INTREPID_TOL) {
570  errorFlag++;
571  *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
572 
573  // Output the multi-index of the value where the error is:
574  *outStream << " At multi-index { ";
575  *outStream << i << " ";*outStream << j << " ";*outStream << k << " ";
576  *outStream << "} computed D4 component: " << vals(i,j,k)
577  << " but reference D4 component: " << basisD2[l] << "\n";
578  }
579  }
580  }
581  }
582 
583 
584 
585  // Check D7 to D10 - must be zero. This basis does not support D5 and D6
586  for(EOperator op = OPERATOR_D7; op < OPERATOR_MAX; op++) {
587 
588  // The last dimension is the number of kth derivatives and needs to be resized for every Dk
589  int DkCardin = Intrepid::getDkCardinality(op, spaceDim);
590  vals.resize(numFields, numPoints, DkCardin);
591 
592  hexBasis.getValues(vals, hexNodes, op);
593  for (int i = 0; i < vals.size(); i++) {
594  if (std::abs(vals[i]) > INTREPID_TOL) {
595  errorFlag++;
596  *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
597 
598  // Get the multi-index of the value where the error is and the operator order
599  std::vector<int> myIndex;
600  vals.getMultiIndex(myIndex,i);
601  int ord = Intrepid::getOperatorOrder(op);
602  *outStream << " At multi-index { ";
603  for(int j = 0; j < vals.rank(); j++) {
604  *outStream << myIndex[j] << " ";
605  }
606  *outStream << "} computed D"<< ord <<" component: " << vals[i]
607  << " but reference D" << ord << " component: 0 \n";
608  }
609  }
610  }
611  }
612 
613  // Catch unexpected errors
614  catch (const std::logic_error & err) {
615  *outStream << err.what() << "\n\n";
616  errorFlag = -1000;
617  };
618 
619  *outStream \
620  << "\n"
621  << "===============================================================================\n"\
622  << "| TEST 4: correctness of DoF locations |\n"\
623  << "===============================================================================\n";
624 
625  try{
626  Teuchos::RCP<Basis<double, FieldContainer<double> > > basis =
627  Teuchos::rcp(new Basis_HGRAD_HEX_C2_FEM<double, FieldContainer<double> >);
628  Teuchos::RCP<DofCoordsInterface<FieldContainer<double> > > coord_iface =
629  Teuchos::rcp_dynamic_cast<DofCoordsInterface<FieldContainer<double> > >(basis);
630 
631  FieldContainer<double> cvals;
632  FieldContainer<double> bvals(basis->getCardinality(), basis->getCardinality());
633 
634  // Check exceptions.
635 #ifdef HAVE_INTREPID_DEBUG
636  cvals.resize(1,2,3);
637  INTREPID_TEST_COMMAND( coord_iface->getDofCoords(cvals), throwCounter, nException );
638  cvals.resize(3,2);
639  INTREPID_TEST_COMMAND( coord_iface->getDofCoords(cvals), throwCounter, nException );
640  cvals.resize(27,2);
641  INTREPID_TEST_COMMAND( coord_iface->getDofCoords(cvals), throwCounter, nException );
642 #endif
643  cvals.resize(27,3);
644  INTREPID_TEST_COMMAND( coord_iface->getDofCoords(cvals), throwCounter, nException ); nException--;
645  // Check if number of thrown exceptions matches the one we expect
646  if (throwCounter != nException) {
647  errorFlag++;
648  *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
649  }
650 
651  // Check mathematical correctness.
652  basis->getValues(bvals, cvals, OPERATOR_VALUE);
653  char buffer[120];
654  for (int i=0; i<bvals.dimension(0); i++) {
655  for (int j=0; j<bvals.dimension(1); j++) {
656  if ((i != j) && (std::abs(bvals(i,j) - 0.0) > INTREPID_TOL)) {
657  errorFlag++;
658  sprintf(buffer, "\nValue of basis function %d at (%6.4e, %6.4e, %6.4e) is %6.4e but should be %6.4e!\n", i, cvals(i,0), cvals(i,1), cvals(i,2), bvals(i,j), 0.0);
659  *outStream << buffer;
660  }
661  else if ((i == j) && (std::abs(bvals(i,j) - 1.0) > INTREPID_TOL)) {
662  errorFlag++;
663  sprintf(buffer, "\nValue of basis function %d at (%6.4e, %6.4e, %6.4e) is %6.4e but should be %6.4e!\n", i, cvals(i,0), cvals(i,1), cvals(i,2), bvals(i,j), 1.0);
664  *outStream << buffer;
665  }
666  }
667  }
668 
669  }
670  catch (const std::logic_error & err){
671  *outStream << err.what() << "\n\n";
672  errorFlag = -1000;
673  };
674 
675  if (errorFlag != 0)
676  std::cout << "End Result: TEST FAILED\n";
677  else
678  std::cout << "End Result: TEST PASSED\n";
679 
680  // reset format state of std::cout
681  std::cout.copyfmt(oldFormatState);
682 
683  return errorFlag;
684 }
Intrepid::FieldContainer::size
int size() const
Returns size of the FieldContainer defined as the product of its dimensions.
Definition: Intrepid_FieldContainerDef.hpp:601
Intrepid::Basis_HGRAD_HEX_C2_FEM::getValues
void getValues(ArrayScalar &outputValues, const ArrayScalar &inputPoints, const EOperator operatorType) const
Evaluation of a FEM basis on a reference Hexahedron cell.
Definition: Intrepid_HGRAD_HEX_C2_FEMDef.hpp:120
Intrepid::Basis::getDofTag
virtual const std::vector< int > & getDofTag(const int dofOrd)
DoF ordinal to DoF tag lookup.
Definition: Intrepid_BasisDef.hpp:78
Intrepid::Basis::getCardinality
virtual int getCardinality() const
Returns cardinality of the basis.
Definition: Intrepid_BasisDef.hpp:100
Intrepid::DofCoordsInterface
This is an interface class for bases whose degrees of freedom can be associated with spatial location...
Definition: Intrepid_Basis.hpp:353
Intrepid::Basis_HGRAD_HEX_C2_FEM
Implementation of the default H(grad)-compatible FEM basis of degree 2 on Hexahedron cell...
Definition: Intrepid_HGRAD_HEX_C2_FEM.hpp:138
Intrepid::Basis::getAllDofTags
virtual const std::vector< std::vector< int > > & getAllDofTags()
Retrieves all DoF tags.
Definition: Intrepid_BasisDef.hpp:89
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::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::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
Intrepid_HGRAD_HEX_C2_FEM.hpp
Header file for the Intrepid::HGRAD_HEX_C2_FEM class.
Intrepid::Basis::getDofOrdinal
virtual int getDofOrdinal(const int subcDim, const int subcOrd, const int subcDofOrd)
DoF tag to ordinal lookup.
Definition: Intrepid_BasisDef.hpp:51
Intrepid::Basis::getBaseCellTopology
virtual const shards::CellTopology getBaseCellTopology() const
Returns the base cell topology for which the basis is defined. See Shards documentation http://trilin...
Definition: Intrepid_BasisDef.hpp:112
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