Intrepid
test_01.cpp
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43 
48 #include "Intrepid_FieldContainer.hpp"
49 #include "Intrepid_HGRAD_QUAD_C1_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 (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_QUAD_C1_FEM) |\n" \
93  << "| |\n" \
94  << "| 1) Conversion of Dof tags into Dof ordinals and back |\n" \
95  << "| 2) Basis values for VALUE, GRAD, CURL, 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_QUAD_C1_FEM<double, FieldContainer<double> > quadBasis;
110  int errorFlag = 0;
111 
112  // Initialize throw counter for exception testing
113  int nException = 0;
114  int throwCounter = 0;
115 
116  // Define array containing the 4 vertices of the reference QUAD and its center.
117  FieldContainer<double> quadNodes(5, 2);
118  quadNodes(0,0) = -1.0; quadNodes(0,1) = -1.0;
119  quadNodes(1,0) = 1.0; quadNodes(1,1) = -1.0;
120  quadNodes(2,0) = 1.0; quadNodes(2,1) = 1.0;
121  quadNodes(3,0) = -1.0; quadNodes(3,1) = 1.0;
122  quadNodes(4,0) = 0.0; quadNodes(4,1) = 0.0;
123 
124  // Generic array for the output values; needs to be properly resized depending on the operator type
125  FieldContainer<double> vals;
126 
127  try{
128  // exception #1: DIV cannot be applied to scalar functions
129  // resize vals to rank-2 container with dimensions (num. points, num. basis functions)
130  vals.resize(quadBasis.getCardinality(), quadNodes.dimension(0));
131  INTREPID_TEST_COMMAND( quadBasis.getValues(vals, quadNodes, OPERATOR_DIV), throwCounter, nException );
132 
133  // Exceptions 2-6: all bf tags/bf Ids below are wrong and should cause getDofOrdinal() and
134  // getDofTag() to access invalid array elements thereby causing bounds check exception
135  // exception #2
136  INTREPID_TEST_COMMAND( quadBasis.getDofOrdinal(3,0,0), throwCounter, nException );
137  // exception #3
138  INTREPID_TEST_COMMAND( quadBasis.getDofOrdinal(1,1,1), throwCounter, nException );
139  // exception #4
140  INTREPID_TEST_COMMAND( quadBasis.getDofOrdinal(0,4,0), throwCounter, nException );
141  // exception #5
142  INTREPID_TEST_COMMAND( quadBasis.getDofTag(5), throwCounter, nException );
143  // exception #6
144  INTREPID_TEST_COMMAND( quadBasis.getDofTag(-1), throwCounter, nException );
145 
146 #ifdef HAVE_INTREPID_DEBUG
147  // Exceptions 7- test exception handling with incorrectly dimensioned input/output arrays
148  // exception #7: input points array must be of rank-2
149  FieldContainer<double> badPoints1(4, 5, 3);
150  INTREPID_TEST_COMMAND( quadBasis.getValues(vals, badPoints1, OPERATOR_VALUE), throwCounter, nException );
151 
152  // exception #8 dimension 1 in the input point array must equal space dimension of the cell
153  FieldContainer<double> badPoints2(4, 3);
154  INTREPID_TEST_COMMAND( quadBasis.getValues(vals, badPoints2, OPERATOR_VALUE), throwCounter, nException );
155 
156  // exception #9 output values must be of rank-2 for OPERATOR_VALUE
157  FieldContainer<double> badVals1(4, 3, 1);
158  INTREPID_TEST_COMMAND( quadBasis.getValues(badVals1, quadNodes, OPERATOR_VALUE), throwCounter, nException );
159 
160  // exception #10 output values must be of rank-3 for OPERATOR_GRAD
161  FieldContainer<double> badVals2(4, 3);
162  INTREPID_TEST_COMMAND( quadBasis.getValues(badVals2, quadNodes, OPERATOR_GRAD), throwCounter, nException );
163 
164  // exception #11 output values must be of rank-3 for OPERATOR_CURL
165  INTREPID_TEST_COMMAND( quadBasis.getValues(badVals2, quadNodes, OPERATOR_CURL), throwCounter, nException );
166 
167  // exception #12 output values must be of rank-3 for OPERATOR_D2
168  INTREPID_TEST_COMMAND( quadBasis.getValues(badVals2, quadNodes, OPERATOR_D2), throwCounter, nException );
169 
170  // exception #13 incorrect 0th dimension of output array (must equal number of basis functions)
171  FieldContainer<double> badVals3(quadBasis.getCardinality() + 1, quadNodes.dimension(0));
172  INTREPID_TEST_COMMAND( quadBasis.getValues(badVals3, quadNodes, OPERATOR_VALUE), throwCounter, nException );
173 
174  // exception #14 incorrect 1st dimension of output array (must equal number of points)
175  FieldContainer<double> badVals4(quadBasis.getCardinality(), quadNodes.dimension(0) + 1);
176  INTREPID_TEST_COMMAND( quadBasis.getValues(badVals4, quadNodes, OPERATOR_VALUE), throwCounter, nException );
177 
178  // exception #15: incorrect 2nd dimension of output array (must equal the space dimension)
179  FieldContainer<double> badVals5(quadBasis.getCardinality(), quadNodes.dimension(0), 4);
180  INTREPID_TEST_COMMAND( quadBasis.getValues(badVals5, quadNodes, OPERATOR_GRAD), throwCounter, nException );
181 
182  // exception #16: incorrect 2nd dimension of output array (must equal D2 cardinality in 2D)
183  FieldContainer<double> badVals6(quadBasis.getCardinality(), quadNodes.dimension(0), 40);
184  INTREPID_TEST_COMMAND( quadBasis.getValues(badVals6, quadNodes, OPERATOR_D2), throwCounter, nException );
185 
186  // exception #17: incorrect 2nd dimension of output array (must equal D3 cardinality in 2D)
187  INTREPID_TEST_COMMAND( quadBasis.getValues(badVals6, quadNodes, OPERATOR_D3), throwCounter, nException );
188 #endif
189 
190  }
191  catch (std::logic_error err) {
192  *outStream << "UNEXPECTED ERROR !!! ----------------------------------------------------------\n";
193  *outStream << err.what() << '\n';
194  *outStream << "-------------------------------------------------------------------------------" << "\n\n";
195  errorFlag = -1000;
196  };
197 
198  // Check if number of thrown exceptions matches the one we expect
199  if (throwCounter != nException) {
200  errorFlag++;
201  *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
202  }
203 
204  *outStream \
205  << "\n"
206  << "===============================================================================\n"\
207  << "| TEST 2: correctness of tag to enum and enum to tag lookups |\n"\
208  << "===============================================================================\n";
209 
210  try{
211  std::vector<std::vector<int> > allTags = quadBasis.getAllDofTags();
212 
213  // Loop over all tags, lookup the associated dof enumeration and then lookup the tag again
214  for (unsigned i = 0; i < allTags.size(); i++) {
215  int bfOrd = quadBasis.getDofOrdinal(allTags[i][0], allTags[i][1], allTags[i][2]);
216 
217  std::vector<int> myTag = quadBasis.getDofTag(bfOrd);
218  if( !( (myTag[0] == allTags[i][0]) &&
219  (myTag[1] == allTags[i][1]) &&
220  (myTag[2] == allTags[i][2]) &&
221  (myTag[3] == allTags[i][3]) ) ) {
222  errorFlag++;
223  *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
224  *outStream << " getDofOrdinal( {"
225  << allTags[i][0] << ", "
226  << allTags[i][1] << ", "
227  << allTags[i][2] << ", "
228  << allTags[i][3] << "}) = " << bfOrd <<" but \n";
229  *outStream << " getDofTag(" << bfOrd << ") = { "
230  << myTag[0] << ", "
231  << myTag[1] << ", "
232  << myTag[2] << ", "
233  << myTag[3] << "}\n";
234  }
235  }
236 
237  // Now do the same but loop over basis functions
238  for( int bfOrd = 0; bfOrd < quadBasis.getCardinality(); bfOrd++) {
239  std::vector<int> myTag = quadBasis.getDofTag(bfOrd);
240  int myBfOrd = quadBasis.getDofOrdinal(myTag[0], myTag[1], myTag[2]);
241  if( bfOrd != myBfOrd) {
242  errorFlag++;
243  *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
244  *outStream << " getDofTag(" << bfOrd << ") = { "
245  << myTag[0] << ", "
246  << myTag[1] << ", "
247  << myTag[2] << ", "
248  << myTag[3] << "} but getDofOrdinal({"
249  << myTag[0] << ", "
250  << myTag[1] << ", "
251  << myTag[2] << ", "
252  << myTag[3] << "} ) = " << myBfOrd << "\n";
253  }
254  }
255  }
256  catch (std::logic_error err){
257  *outStream << err.what() << "\n\n";
258  errorFlag = -1000;
259  };
260 
261  *outStream \
262  << "\n"
263  << "===============================================================================\n"\
264  << "| TEST 3: correctness of basis function values |\n"\
265  << "===============================================================================\n";
266 
267  outStream -> precision(20);
268 
269  // VALUE: Each row gives the 4 correct basis set values at an evaluation point
270  double basisValues[] = {
271  1.0, 0.0, 0.0, 0.0,
272  0.0, 1.0, 0.0, 0.0,
273  0.0, 0.0, 1.0, 0.0,
274  0.0, 0.0, 0.0, 1.0,
275  0.25,0.25,0.25,0.25
276  };
277 
278  // GRAD and D1: each row gives the 8 correct values of the gradients of the 4 basis functions
279  double basisGrads[] = {
280  -0.5, -0.5, 0.5, 0.0, 0.0, 0.0, 0.0, 0.5,
281  -0.5, 0.0, 0.5, -0.5, 0.0, 0.5, 0.0, 0.0,
282  0.0, 0.0, 0.0, -0.5, 0.5, 0.5, -0.5, 0.0,
283  0.0, -0.5, 0.0, 0.0, 0.5, 0.0, -0.5, 0.5,
284  -0.25,-0.25, 0.25,-0.25, 0.25, 0.25, -0.25, 0.25
285  };
286 
287  // CURL: each row gives the 8 correct values of the curls of the 4 basis functions
288  double basisCurls[] = {
289  -0.5, 0.5, 0.0, -0.5, 0.0, 0.0, 0.5, 0.0,
290  0.0, 0.5, -0.5, -0.5, 0.5, 0.0, 0.0, 0.0,
291  0.0, 0.0, -0.5, 0.0, 0.5, -0.5, 0.0, 0.5,
292  -0.5, 0.0, 0.0, 0.0, 0.0, -0.5, 0.5, 0.5,
293  -0.25, 0.25, -0.25,-0.25, 0.25,-0.25, 0.25, 0.25
294  };
295 
296  //D2: each row gives the 12 correct values of all 2nd derivatives of the 4 basis functions
297  double basisD2[] = {
298  0.0, 0.25, 0.0, 0.0,-0.25, 0.0, 0.0, 0.25, 0.0, 0.0,-0.25, 0.0,
299  0.0, 0.25, 0.0, 0.0,-0.25, 0.0, 0.0, 0.25, 0.0, 0.0,-0.25, 0.0,
300  0.0, 0.25, 0.0, 0.0,-0.25, 0.0, 0.0, 0.25, 0.0, 0.0,-0.25, 0.0,
301  0.0, 0.25, 0.0, 0.0,-0.25, 0.0, 0.0, 0.25, 0.0, 0.0,-0.25, 0.0,
302  0.0, 0.25, 0.0, 0.0,-0.25, 0.0, 0.0, 0.25, 0.0, 0.0,-0.25, 0.0,
303  };
304 
305  try{
306 
307  // Dimensions for the output arrays:
308  int numFields = quadBasis.getCardinality();
309  int numPoints = quadNodes.dimension(0);
310  int spaceDim = quadBasis.getBaseCellTopology().getDimension();
311  int D2Cardin = Intrepid::getDkCardinality(OPERATOR_D2, spaceDim);
312 
313  // Generic array for values, grads, curls, etc. that will be properly sized before each call
314  FieldContainer<double> vals;
315 
316  // Check VALUE of basis functions: resize vals to rank-2 container:
317  vals.resize(numFields, numPoints);
318  quadBasis.getValues(vals, quadNodes, OPERATOR_VALUE);
319  for (int i = 0; i < numFields; i++) {
320  for (int j = 0; j < numPoints; j++) {
321  int l = i + j * numFields;
322  if (std::abs(vals(i,j) - basisValues[l]) > INTREPID_TOL) {
323  errorFlag++;
324  *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
325 
326  // Output the multi-index of the value where the error is:
327  *outStream << " At multi-index { ";
328  *outStream << i << " ";*outStream << j << " ";
329  *outStream << "} computed value: " << vals(i,j)
330  << " but reference value: " << basisValues[l] << "\n";
331  }
332  }
333  }
334 
335  // Check GRAD of basis function: resize vals to rank-3 container
336  vals.resize(numFields, numPoints, spaceDim);
337  quadBasis.getValues(vals, quadNodes, OPERATOR_GRAD);
338  for (int i = 0; i < numFields; i++) {
339  for (int j = 0; j < numPoints; j++) {
340  for (int k = 0; k < spaceDim; k++) {
341  int l = k + i * spaceDim + j * spaceDim * numFields;
342  if (std::abs(vals(i,j,k) - basisGrads[l]) > INTREPID_TOL) {
343  errorFlag++;
344  *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
345 
346  // Output the multi-index of the value where the error is:
347  *outStream << " At multi-index { ";
348  *outStream << i << " ";*outStream << j << " ";*outStream << k << " ";
349  *outStream << "} computed grad component: " << vals(i,j,k)
350  << " but reference grad component: " << basisGrads[l] << "\n";
351  }
352  }
353  }
354  }
355 
356 
357  // Check D1 of basis function (do not resize vals because it has the correct size: D1 = GRAD)
358  quadBasis.getValues(vals, quadNodes, OPERATOR_D1);
359  for (int i = 0; i < numFields; i++) {
360  for (int j = 0; j < numPoints; j++) {
361  for (int k = 0; k < spaceDim; k++) {
362  int l = k + i * spaceDim + j * spaceDim * numFields;
363  if (std::abs(vals(i,j,k) - basisGrads[l]) > INTREPID_TOL) {
364  errorFlag++;
365  *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
366 
367  // Output the multi-index of the value where the error is:
368  *outStream << " At multi-index { ";
369  *outStream << i << " ";*outStream << j << " ";*outStream << k << " ";
370  *outStream << "} computed D1 component: " << vals(i,j,k)
371  << " but reference D1 component: " << basisGrads[l] << "\n";
372  }
373  }
374  }
375  }
376 
377 
378  // Check CURL of basis function: resize vals just for illustration!
379  vals.resize(numFields, numPoints, spaceDim);
380  quadBasis.getValues(vals, quadNodes, OPERATOR_CURL);
381  for (int i = 0; i < numFields; i++) {
382  for (int j = 0; j < numPoints; j++) {
383  for (int k = 0; k < spaceDim; k++) {
384  int l = k + i * spaceDim + j * spaceDim * numFields;
385  if (std::abs(vals(i,j,k) - basisCurls[l]) > INTREPID_TOL) {
386  errorFlag++;
387  *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
388 
389  // Output the multi-index of the value where the error is:
390  *outStream << " At multi-index { ";
391  *outStream << i << " ";*outStream << j << " ";*outStream << k << " ";
392  *outStream << "} computed curl component: " << vals(i,j,k)
393  << " but reference curl component: " << basisCurls[l] << "\n";
394  }
395  }
396  }
397  }
398 
399  // Check D2 of basis function
400  vals.resize(numFields, numPoints, D2Cardin);
401  quadBasis.getValues(vals, quadNodes, OPERATOR_D2);
402  for (int i = 0; i < numFields; i++) {
403  for (int j = 0; j < numPoints; j++) {
404  for (int k = 0; k < D2Cardin; k++) {
405  int l = k + i * D2Cardin + j * D2Cardin * numFields;
406  if (std::abs(vals(i,j,k) - basisD2[l]) > INTREPID_TOL) {
407  errorFlag++;
408  *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
409 
410  // Output the multi-index of the value where the error is:
411  *outStream << " At multi-index { ";
412  *outStream << i << " ";*outStream << j << " ";*outStream << k << " ";
413  *outStream << "} computed D2 component: " << vals(i,j,k)
414  << " but reference D2 component: " << basisD2[l] << "\n";
415  }
416  }
417  }
418  }
419 
420 
421  // Check all higher derivatives - must be zero.
422  for(EOperator op = OPERATOR_D3; op < OPERATOR_MAX; op++) {
423 
424  // The last dimension is the number of kth derivatives and needs to be resized for every Dk
425  int DkCardin = Intrepid::getDkCardinality(op, spaceDim);
426  vals.resize(numFields, numPoints, DkCardin);
427 
428  quadBasis.getValues(vals, quadNodes, op);
429  for (int i = 0; i < vals.size(); i++) {
430  if (std::abs(vals[i]) > INTREPID_TOL) {
431  errorFlag++;
432  *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
433 
434  // Get the multi-index of the value where the error is and the operator order
435  std::vector<int> myIndex;
436  vals.getMultiIndex(myIndex,i);
437  int ord = Intrepid::getOperatorOrder(op);
438  *outStream << " At multi-index { ";
439  for(int j = 0; j < vals.rank(); j++) {
440  *outStream << myIndex[j] << " ";
441  }
442  *outStream << "} computed D"<< ord <<" component: " << vals[i]
443  << " but reference D" << ord << " component: 0 \n";
444  }
445  }
446  }
447  }
448  // Catch unexpected errors
449  catch (std::logic_error err) {
450  *outStream << err.what() << "\n\n";
451  errorFlag = -1000;
452  };
453 
454 
455  *outStream \
456  << "\n"
457  << "===============================================================================\n"\
458  << "| TEST 4: correctness of DoF locations |\n"\
459  << "===============================================================================\n";
460 
461  try{
462  Teuchos::RCP<Basis<double, FieldContainer<double> > > basis =
463  Teuchos::rcp(new Basis_HGRAD_QUAD_C1_FEM<double, FieldContainer<double> >);
464  Teuchos::RCP<DofCoordsInterface<FieldContainer<double> > > coord_iface =
465  Teuchos::rcp_dynamic_cast<DofCoordsInterface<FieldContainer<double> > >(basis);
466 
467  FieldContainer<double> cvals;
468  FieldContainer<double> bvals(basis->getCardinality(), basis->getCardinality());
469 
470  // Check exceptions.
471 #ifdef HAVE_INTREPID_DEBUG
472  cvals.resize(1,2,3);
473  INTREPID_TEST_COMMAND( coord_iface->getDofCoords(cvals), throwCounter, nException );
474  cvals.resize(3,2);
475  INTREPID_TEST_COMMAND( coord_iface->getDofCoords(cvals), throwCounter, nException );
476  cvals.resize(4,3);
477  INTREPID_TEST_COMMAND( coord_iface->getDofCoords(cvals), throwCounter, nException );
478 #endif
479  cvals.resize(4,2);
480  INTREPID_TEST_COMMAND( coord_iface->getDofCoords(cvals), throwCounter, nException ); nException--;
481  // Check if number of thrown exceptions matches the one we expect
482  if (throwCounter != nException) {
483  errorFlag++;
484  *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
485  }
486 
487  // Check mathematical correctness.
488  basis->getValues(bvals, cvals, OPERATOR_VALUE);
489  char buffer[120];
490  for (int i=0; i<bvals.dimension(0); i++) {
491  for (int j=0; j<bvals.dimension(1); j++) {
492  if ((i != j) && (std::abs(bvals(i,j) - 0.0) > INTREPID_TOL)) {
493  errorFlag++;
494  sprintf(buffer, "\nValue of basis function %d at (%6.4e, %6.4e) is %6.4e but should be %6.4e!\n", i, cvals(i,0), cvals(i,1), bvals(i,j), 0.0);
495  *outStream << buffer;
496  }
497  else if ((i == j) && (std::abs(bvals(i,j) - 1.0) > INTREPID_TOL)) {
498  errorFlag++;
499  sprintf(buffer, "\nValue of basis function %d at (%6.4e, %6.4e) is %6.4e but should be %6.4e!\n", i, cvals(i,0), cvals(i,1), bvals(i,j), 1.0);
500  *outStream << buffer;
501  }
502  }
503  }
504 
505  }
506  catch (std::logic_error err){
507  *outStream << err.what() << "\n\n";
508  errorFlag = -1000;
509  };
510 
511  if (errorFlag != 0)
512  std::cout << "End Result: TEST FAILED\n";
513  else
514  std::cout << "End Result: TEST PASSED\n";
515 
516  // reset format state of std::cout
517  std::cout.copyfmt(oldFormatState);
518 
519  return errorFlag;
520 }
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::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
Intrepid::Basis::getCardinality
virtual int getCardinality() const
Returns cardinality of the basis.
Definition: Intrepid_BasisDef.hpp:100
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::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::getDkCardinality
int getDkCardinality(const EOperator operatorType, const int spaceDim)
Returns cardinality of Dk, i.e., the number of all derivatives of order k.
Definition: Intrepid_Utils.cpp:400
Intrepid::Basis_HGRAD_QUAD_C1_FEM
Implementation of the default H(grad)-compatible FEM basis of degree 1 on Quadrilateral cell.
Definition: Intrepid_HGRAD_QUAD_C1_FEM.hpp:81
Intrepid::FieldContainer< double >
Intrepid::getOperatorOrder
int getOperatorOrder(const EOperator operatorType)
Returns order of an operator.
Definition: Intrepid_Utils.cpp:196
main
int main(int argc, char *argv[])
Performs a code-code comparison to FIAT for Nedelec bases on tets (values and curls)
Definition: test_01.cpp:65
Intrepid::EOperator
EOperator
Enumeration of primitive operators available in Intrepid. Primitive operators act on reconstructed fu...
Definition: Intrepid_Types.hpp:206
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::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_QUAD_C1_FEM::getValues
void getValues(ArrayScalar &outputValues, const ArrayScalar &inputPoints, const EOperator operatorType) const
FEM basis evaluation on a reference Quadrilateral cell.
Definition: Intrepid_HGRAD_QUAD_C1_FEMDef.hpp:94
Intrepid::Basis::getDofTag
virtual const std::vector< int > & getDofTag(const int dofOrd)
DoF ordinal to DoF tag lookup.
Definition: Intrepid_BasisDef.hpp:78
Intrepid::DofCoordsInterface
This is an interface class for bases whose degrees of freedom can be associated with spatial location...
Definition: Intrepid_Basis.hpp:353
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