Intrepid
test_01.cpp
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43 
48 #include "Intrepid_FieldContainer.hpp"
49 #include "Intrepid_HGRAD_HEX_I2_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_I2_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_I2_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 20 nodes of hexahedron<20> topology
117  FieldContainer<double> hexNodes(20, 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  // Generic array for the output values; needs to be properly resized depending on the operator type
144  FieldContainer<double> vals;
145 
146  try{
147  // exception #1: CURL cannot be applied to scalar functions in 3D
148  // resize vals to rank-3 container with dimensions (num. basis functions, num. points, arbitrary)
149  vals.resize(hexBasis.getCardinality(), hexNodes.dimension(0), 4 );
150  INTREPID_TEST_COMMAND( hexBasis.getValues(vals, hexNodes, OPERATOR_CURL), throwCounter, nException );
151 
152  // exception #2: DIV cannot be applied to scalar functions in 3D
153  // resize vals to rank-2 container with dimensions (num. basis functions, num. points)
154  vals.resize(hexBasis.getCardinality(), hexNodes.dimension(0) );
155  INTREPID_TEST_COMMAND( hexBasis.getValues(vals, hexNodes, OPERATOR_DIV), throwCounter, nException );
156 
157  // Exceptions 3-7: all bf tags/bf Ids below are wrong and should cause getDofOrdinal() and
158  // getDofTag() to access invalid array elements thereby causing bounds check exception
159  // exception #3
160  INTREPID_TEST_COMMAND( hexBasis.getDofOrdinal(3,10,0), throwCounter, nException );
161  // exception #4
162  INTREPID_TEST_COMMAND( hexBasis.getDofOrdinal(1,2,1), throwCounter, nException );
163  // exception #5
164  INTREPID_TEST_COMMAND( hexBasis.getDofOrdinal(0,4,1), throwCounter, nException );
165  // exception #6
166  INTREPID_TEST_COMMAND( hexBasis.getDofTag(21), throwCounter, nException );
167  // exception #7
168  INTREPID_TEST_COMMAND( hexBasis.getDofTag(-1), throwCounter, nException );
169 
170 #ifdef HAVE_INTREPID_DEBUG
171  // Exceptions 8-18 test exception handling with incorrectly dimensioned input/output arrays
172  // exception #8: input points array must be of rank-2
173  FieldContainer<double> badPoints1(4, 5, 3);
174  INTREPID_TEST_COMMAND( hexBasis.getValues(vals, badPoints1, OPERATOR_VALUE), throwCounter, nException );
175 
176  // exception #9 dimension 1 in the input point array must equal space dimension of the cell
177  FieldContainer<double> badPoints2(4, hexBasis.getBaseCellTopology().getDimension() - 1);
178  INTREPID_TEST_COMMAND( hexBasis.getValues(vals, badPoints2, OPERATOR_VALUE), throwCounter, nException );
179 
180  // exception #10 output values must be of rank-2 for OPERATOR_VALUE
181  FieldContainer<double> badVals1(4, 3, 1);
182  INTREPID_TEST_COMMAND( hexBasis.getValues(badVals1, hexNodes, OPERATOR_VALUE), throwCounter, nException );
183 
184  // exception #11 output values must be of rank-3 for OPERATOR_GRAD
185  FieldContainer<double> badVals2(4, 3);
186  INTREPID_TEST_COMMAND( hexBasis.getValues(badVals2, hexNodes, OPERATOR_GRAD), throwCounter, nException );
187 
188  // exception #12 output values must be of rank-3 for OPERATOR_D1
189  INTREPID_TEST_COMMAND( hexBasis.getValues(badVals2, hexNodes, OPERATOR_D1), throwCounter, nException );
190 
191  // exception #13 output values must be of rank-3 for OPERATOR_D2
192  INTREPID_TEST_COMMAND( hexBasis.getValues(badVals2, hexNodes, OPERATOR_D2), throwCounter, nException );
193 
194  // exception #14 incorrect 0th dimension of output array (must equal number of basis functions)
195  FieldContainer<double> badVals3(hexBasis.getCardinality() + 1, hexNodes.dimension(0));
196  INTREPID_TEST_COMMAND( hexBasis.getValues(badVals3, hexNodes, OPERATOR_VALUE), throwCounter, nException );
197 
198  // exception #15 incorrect 1st dimension of output array (must equal number of points)
199  FieldContainer<double> badVals4(hexBasis.getCardinality(), hexNodes.dimension(0) + 1);
200  INTREPID_TEST_COMMAND( hexBasis.getValues(badVals4, hexNodes, OPERATOR_VALUE), throwCounter, nException );
201 
202  // exception #16: incorrect 2nd dimension of output array (must equal the space dimension)
203  FieldContainer<double> badVals5(hexBasis.getCardinality(), hexNodes.dimension(0), hexBasis.getBaseCellTopology().getDimension() - 1);
204  INTREPID_TEST_COMMAND( hexBasis.getValues(badVals5, hexNodes, OPERATOR_GRAD), throwCounter, nException );
205 
206  // exception #17: incorrect 2nd dimension of output array (must equal D2 cardinality in 3D)
207  FieldContainer<double> badVals6(hexBasis.getCardinality(), hexNodes.dimension(0), 40);
208  INTREPID_TEST_COMMAND( hexBasis.getValues(badVals6, hexNodes, OPERATOR_D2), throwCounter, nException );
209 
210  // exception #18: incorrect 2nd dimension of output array (must equal D3 cardinality in 3D)
211  FieldContainer<double> badVals7(hexBasis.getCardinality(), hexNodes.dimension(0), 50);
212  INTREPID_TEST_COMMAND( hexBasis.getValues(badVals7, hexNodes, OPERATOR_D3), throwCounter, nException );
213 #endif
214 
215  }
216  catch (const std::logic_error & err) {
217  *outStream << "UNEXPECTED ERROR !!! ----------------------------------------------------------\n";
218  *outStream << err.what() << '\n';
219  *outStream << "-------------------------------------------------------------------------------" << "\n\n";
220  errorFlag = -1000;
221  };
222 
223  // Check if number of thrown exceptions matches the one we expect
224  // Note Teuchos throw number will not pick up exceptions 3-7 and therefore will not match.
225  if (throwCounter != nException) {
226  errorFlag++;
227  *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
228  }
229 
230  *outStream \
231  << "\n"
232  << "===============================================================================\n"\
233  << "| TEST 2: correctness of tag to enum and enum to tag lookups |\n"\
234  << "===============================================================================\n";
235 
236  try{
237  std::vector<std::vector<int> > allTags = hexBasis.getAllDofTags();
238 
239  // Loop over all tags, lookup the associated dof enumeration and then lookup the tag again
240  for (unsigned i = 0; i < allTags.size(); i++) {
241  int bfOrd = hexBasis.getDofOrdinal(allTags[i][0], allTags[i][1], allTags[i][2]);
242 
243  std::vector<int> myTag = hexBasis.getDofTag(bfOrd);
244  if( !( (myTag[0] == allTags[i][0]) &&
245  (myTag[1] == allTags[i][1]) &&
246  (myTag[2] == allTags[i][2]) &&
247  (myTag[3] == allTags[i][3]) ) ) {
248  errorFlag++;
249  *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
250  *outStream << " getDofOrdinal( {"
251  << allTags[i][0] << ", "
252  << allTags[i][1] << ", "
253  << allTags[i][2] << ", "
254  << allTags[i][3] << "}) = " << bfOrd <<" but \n";
255  *outStream << " getDofTag(" << bfOrd << ") = { "
256  << myTag[0] << ", "
257  << myTag[1] << ", "
258  << myTag[2] << ", "
259  << myTag[3] << "}\n";
260  }
261  }
262 
263  // Now do the same but loop over basis functions
264  for( int bfOrd = 0; bfOrd < hexBasis.getCardinality(); bfOrd++) {
265  std::vector<int> myTag = hexBasis.getDofTag(bfOrd);
266  int myBfOrd = hexBasis.getDofOrdinal(myTag[0], myTag[1], myTag[2]);
267  if( bfOrd != myBfOrd) {
268  errorFlag++;
269  *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
270  *outStream << " getDofTag(" << bfOrd << ") = { "
271  << myTag[0] << ", "
272  << myTag[1] << ", "
273  << myTag[2] << ", "
274  << myTag[3] << "} but getDofOrdinal({"
275  << myTag[0] << ", "
276  << myTag[1] << ", "
277  << myTag[2] << ", "
278  << myTag[3] << "} ) = " << myBfOrd << "\n";
279  }
280  }
281  }
282  catch (const std::logic_error & err){
283  *outStream << err.what() << "\n\n";
284  errorFlag = -1000;
285  };
286 
287 
288  *outStream \
289  << "\n"
290  << "===============================================================================\n"\
291  << "| TEST 3: correctness of basis function values |\n"\
292  << "===============================================================================\n";
293 
294  outStream -> precision(20);
295 
296  // VALUE: Each row gives the 8 correct basis set values at an evaluation point
297  double basisValues[] = {
298  1.0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
299  0, 1.0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
300  0, 0, 1.0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
301  0, 0, 0, 1.0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
302  0, 0, 0, 0, 1.0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
303  0, 0, 0, 0, 0, 1.0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
304  0, 0, 0, 0, 0, 0, 1.0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
305  0, 0, 0, 0, 0, 0, 0, 1.0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
306  0, 0, 0, 0, 0, 0, 0, 0, 1.0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
307  0, 0, 0, 0, 0, 0, 0, 0, 0, 1.0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
308  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
309  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.0, 0, 0, 0, 0, 0, 0, 0, 0, \
310  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.0, 0, 0, 0, 0, 0, 0, 0, \
311  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.0, 0, 0, 0, 0, 0, 0, \
312  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.0, 0, 0, 0, 0, 0, \
313  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.0, 0, 0, 0, 0, \
314  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.0, 0, 0, 0, \
315  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.0, 0, 0, \
316  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.0, 0, \
317  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.0 };
318 
319 
320  // GRAD, D1, D2, D3 test values are stored in files due to their large size
321  std::string fileName;
322  std::ifstream dataFile;
323 
324 
325  // GRAD and D1 values are stored in (F,P,D) format in a data file. Read file and do the test
326  std::vector<double> basisGrads; // Flat array for the gradient values.
327 
328  fileName = "./testdata/HEX_I2_GradVals.dat";
329  dataFile.open(fileName.c_str());
330  TEUCHOS_TEST_FOR_EXCEPTION( !dataFile.good(), std::logic_error,
331  ">>> ERROR (HGRAD_HEX_I2/test01): could not open GRAD values data file, test aborted.");
332  while (!dataFile.eof() ){
333  double temp;
334  string line; // string for one line of input file
335  std::getline(dataFile, line); // get next line from file
336  stringstream data_line(line); // convert to stringstream
337  while(data_line >> temp){ // extract value from line
338  basisGrads.push_back(temp); // push into vector
339  }
340  }
341  // It turns out that just closing and then opening the ifstream variable does not reset it
342  // and subsequent open() command fails. One fix is to explicitely clear the ifstream, or
343  // scope the variables.
344  dataFile.close();
345  dataFile.clear();
346 
347 
348  //D2: flat array with the values of D2 applied to basis functions. Multi-index is (F,P,D2cardinality)
349  std::vector<double> basisD2;
350  fileName = "./testdata/HEX_I2_D2Vals.dat";
351  dataFile.open(fileName.c_str());
352  TEUCHOS_TEST_FOR_EXCEPTION( !dataFile.good(), std::logic_error,
353  ">>> ERROR (HGRAD_HEX_I2/test01): could not open D2 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  basisD2.push_back(temp); // push into vector
361  }
362  }
363  dataFile.close();
364  dataFile.clear();
365 
366 
367  //D3: flat array with the values of D3 applied to basis functions. Multi-index is (F,P,D3cardinality)
368  std::vector<double> basisD3;
369 
370  fileName = "./testdata/HEX_I2_D3Vals.dat";
371  dataFile.open(fileName.c_str());
372  TEUCHOS_TEST_FOR_EXCEPTION( !dataFile.good(), std::logic_error,
373  ">>> ERROR (HGRAD_HEX_I2/test01): could not open D3 values data file, test aborted.");
374 
375  while (!dataFile.eof() ){
376  double temp;
377  string line; // string for one line of input file
378  std::getline(dataFile, line); // get next line from file
379  stringstream data_line(line); // convert to stringstream
380  while(data_line >> temp){ // extract value from line
381  basisD3.push_back(temp); // push into vector
382  }
383  }
384  dataFile.close();
385  dataFile.clear();
386 
387 
388 
389  try{
390 
391  // Dimensions for the output arrays:
392  int numFields = hexBasis.getCardinality();
393  int numPoints = hexNodes.dimension(0);
394  int spaceDim = hexBasis.getBaseCellTopology().getDimension();
395 
396  // Generic array for values, grads, curls, etc. that will be properly sized before each call
397  FieldContainer<double> vals;
398 
399  // Check VALUE of basis functions: resize vals to rank-2 container:
400  vals.resize(numFields, numPoints);
401  hexBasis.getValues(vals, hexNodes, OPERATOR_VALUE);
402  for (int i = 0; i < numFields; i++) {
403  for (int j = 0; j < numPoints; j++) {
404  int l = i + j * numFields;
405  if (std::abs(vals(i,j) - basisValues[l]) > INTREPID_TOL) {
406  errorFlag++;
407  *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
408 
409  // Output the multi-index of the value where the error is:
410  *outStream << " At multi-index { ";
411  *outStream << i << " ";*outStream << j << " ";
412  *outStream << "} computed value: " << vals(i,j)
413  << " but reference value: " << basisValues[l] << "\n";
414  }
415  }
416  }
417 
418 
419  // Check GRAD of basis function: resize vals to rank-3 container
420  vals.resize(numFields, numPoints, spaceDim);
421  hexBasis.getValues(vals, hexNodes, OPERATOR_GRAD);
422  for (int i = 0; i < numFields; i++) {
423  for (int j = 0; j < numPoints; j++) {
424  for (int k = 0; k < spaceDim; k++) {
425 
426  // basisGrads is (F,P,D), compute offset:
427  int l = k + j * spaceDim + i * spaceDim * numPoints;
428 
429  if (std::abs(vals(i,j,k) - basisGrads[l]) > INTREPID_TOL) {
430  errorFlag++;
431  *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
432 
433  // Output the multi-index of the value where the error is:
434  *outStream << " At multi-index { ";
435  *outStream << i << " ";*outStream << j << " ";*outStream << k << " ";
436  *outStream << "} computed grad component: " << vals(i,j,k)
437  << " but reference grad component: " << basisGrads[l] << "\n";
438  }
439 
440  }
441  }
442  }
443 
444  // Check D1 of basis function (do not resize vals because it has the correct size: D1 = GRAD)
445  hexBasis.getValues(vals, hexNodes, OPERATOR_D1);
446  for (int i = 0; i < numFields; i++) {
447  for (int j = 0; j < numPoints; j++) {
448  for (int k = 0; k < spaceDim; k++) {
449 
450  // basisGrads is (F,P,D), compute offset:
451  int l = k + j * spaceDim + i * spaceDim * numPoints;
452  if (std::abs(vals(i,j,k) - basisGrads[l]) > INTREPID_TOL) {
453  errorFlag++;
454  *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
455 
456  // Output the multi-index of the value where the error is:
457  *outStream << " At multi-index { ";
458  *outStream << i << " ";*outStream << j << " ";*outStream << k << " ";
459  *outStream << "} computed D1 component: " << vals(i,j,k)
460  << " but reference D1 component: " << basisGrads[l] << "\n";
461  }
462 
463  }
464  }
465  }
466 
467 
468  // Check D2 of basis function
469  int D2cardinality = Intrepid::getDkCardinality(OPERATOR_D2, spaceDim);
470  vals.resize(numFields, numPoints, D2cardinality);
471  hexBasis.getValues(vals, hexNodes, OPERATOR_D2);
472  for (int i = 0; i < numFields; i++) {
473  for (int j = 0; j < numPoints; j++) {
474  for (int k = 0; k < D2cardinality; k++) {
475 
476  // basisD2 is (F,P,Dk), compute offset:
477  int l = k + j * D2cardinality + i * D2cardinality * numPoints;
478  if (std::abs(vals(i,j,k) - basisD2[l]) > INTREPID_TOL) {
479  errorFlag++;
480  *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
481 
482  // Output the multi-index of the value where the error is:
483  *outStream << " At multi-index { ";
484  *outStream << i << " ";*outStream << j << " ";*outStream << k << " ";
485  *outStream << "} computed D2 component: " << vals(i,j,k)
486  << " but reference D2 component: " << basisD2[l] << "\n";
487  }
488  }
489  }
490  }
491 
492 
493  // Check D3 of basis function
494  int D3cardinality = Intrepid::getDkCardinality(OPERATOR_D3, spaceDim);
495  vals.resize(numFields, numPoints, D3cardinality);
496  hexBasis.getValues(vals, hexNodes, OPERATOR_D3);
497 
498  for (int i = 0; i < numFields; i++) {
499  for (int j = 0; j < numPoints; j++) {
500  for (int k = 0; k < D3cardinality; k++) {
501 
502  // basisD3 is (F,P,Dk), compute offset:
503  int l = k + j * D3cardinality + i * D3cardinality * numPoints;
504  if (std::abs(vals(i,j,k) - basisD3[l]) > INTREPID_TOL) {
505  errorFlag++;
506  *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
507 
508  // Output the multi-index of the value where the error is:
509  *outStream << " At multi-index { ";
510  *outStream << i << " ";*outStream << j << " ";*outStream << k << " ";
511  *outStream << "} computed D3 component: " << vals(i,j,k)
512  << " but reference D3 component: " << basisD3[l] << "\n";
513  }
514  }
515  }
516  }
517 
518  }
519 
520  // Catch unexpected errors
521  catch (const std::logic_error & err) {
522  *outStream << err.what() << "\n\n";
523  errorFlag = -1000;
524  };
525 
526  *outStream \
527  << "\n"
528  << "===============================================================================\n"\
529  << "| TEST 4: correctness of DoF locations |\n"\
530  << "===============================================================================\n";
531 
532  try{
533  Teuchos::RCP<Basis<double, FieldContainer<double> > > basis =
534  Teuchos::rcp(new Basis_HGRAD_HEX_I2_FEM<double, FieldContainer<double> >);
535  Teuchos::RCP<DofCoordsInterface<FieldContainer<double> > > coord_iface =
536  Teuchos::rcp_dynamic_cast<DofCoordsInterface<FieldContainer<double> > >(basis);
537 
538  FieldContainer<double> cvals;
539  FieldContainer<double> bvals(basis->getCardinality(), basis->getCardinality());
540 
541  // Check exceptions.
542 #ifdef HAVE_INTREPID_DEBUG
543  cvals.resize(1,2,3);
544  INTREPID_TEST_COMMAND( coord_iface->getDofCoords(cvals), throwCounter, nException );
545  cvals.resize(3,2);
546  INTREPID_TEST_COMMAND( coord_iface->getDofCoords(cvals), throwCounter, nException );
547  cvals.resize(20,2);
548  INTREPID_TEST_COMMAND( coord_iface->getDofCoords(cvals), throwCounter, nException );
549 #endif
550  cvals.resize(20,3);
551  INTREPID_TEST_COMMAND( coord_iface->getDofCoords(cvals), throwCounter, nException ); nException--;
552  // Check if number of thrown exceptions matches the one we expect
553  if (throwCounter != nException) {
554  errorFlag++;
555  *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
556  }
557 
558  // Check mathematical correctness.
559  basis->getValues(bvals, cvals, OPERATOR_VALUE);
560  char buffer[120];
561  for (int i=0; i<bvals.dimension(0); i++) {
562  for (int j=0; j<bvals.dimension(1); j++) {
563  if ((i != j) && (std::abs(bvals(i,j) - 0.0) > INTREPID_TOL)) {
564  errorFlag++;
565  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);
566  *outStream << buffer;
567  }
568  else if ((i == j) && (std::abs(bvals(i,j) - 1.0) > INTREPID_TOL)) {
569  errorFlag++;
570  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);
571  *outStream << buffer;
572  }
573  }
574  }
575 
576  }
577  catch (const std::logic_error & err){
578  *outStream << err.what() << "\n\n";
579  errorFlag = -1000;
580  };
581 
582  if (errorFlag != 0)
583  std::cout << "End Result: TEST FAILED\n";
584  else
585  std::cout << "End Result: TEST PASSED\n";
586 
587  // reset format state of std::cout
588  std::cout.copyfmt(oldFormatState);
589 
590  return errorFlag;
591 }
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_HGRAD_HEX_I2_FEM
Implementation of the serendipity-family H(grad)-compatible FEM basis of degree 2 on a Hexahedron cel...
Definition: Intrepid_HGRAD_HEX_I2_FEM.hpp:123
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::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_HGRAD_HEX_I2_FEM.hpp
Header file for the Intrepid::HGRAD_HEX_I2_FEM class.
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::Basis_HGRAD_HEX_I2_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_I2_FEMDef.hpp:113
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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