Intrepid
test_01.cpp
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43 
48 #include "Intrepid_FieldContainer.hpp"
49 #include "Intrepid_HCURL_TET_I1_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_HCURL_TET_I1_FEM) |\n" \
93  << "| |\n" \
94  << "| 1) Conversion of Dof tags into Dof ordinals and back |\n" \
95  << "| 2) Basis values for VALUE and CURL operators |\n" \
96  << "| |\n" \
97  << "| Questions? Contact Pavel Bochev (pbboche@sandia.gov) or |\n" \
98  << "| Denis Ridzal (dridzal@sandia.gov). |\n" \
99  << "| |\n" \
100  << "| Intrepid's website: http://trilinos.sandia.gov/packages/intrepid |\n" \
101  << "| Trilinos website: http://trilinos.sandia.gov |\n" \
102  << "| |\n" \
103  << "===============================================================================\n"\
104  << "| TEST 1: Basis creation, exception testing |\n"\
105  << "===============================================================================\n";
106 
107  // Define basis and error flag
108  Basis_HCURL_TET_I1_FEM<double, FieldContainer<double> > tetBasis;
109  int errorFlag = 0;
110 
111 // Define throw number for exception testing
112  int nException = 0;
113  int throwCounter = 0;
114 
115  // Define array containing the 4 vertices of the reference TET and its 6 edge centers.
116  FieldContainer<double> tetNodes(10, 3);
117  tetNodes(0,0) = 0.0; tetNodes(0,1) = 0.0; tetNodes(0,2) = 0.0;
118  tetNodes(1,0) = 1.0; tetNodes(1,1) = 0.0; tetNodes(1,2) = 0.0;
119  tetNodes(2,0) = 0.0; tetNodes(2,1) = 1.0; tetNodes(2,2) = 0.0;
120  tetNodes(3,0) = 0.0; tetNodes(3,1) = 0.0; tetNodes(3,2) = 1.0;
121  tetNodes(4,0) = 0.5; tetNodes(4,1) = 0.0; tetNodes(4,2) = 0.0;
122  tetNodes(5,0) = 0.5; tetNodes(5,1) = 0.5; tetNodes(5,2) = 0.0;
123  tetNodes(6,0) = 0.0; tetNodes(6,1) = 0.5; tetNodes(6,2) = 0.0;
124  tetNodes(7,0) = 0.0; tetNodes(7,1) = 0.0; tetNodes(7,2) = 0.5;
125  tetNodes(8,0) = 0.5; tetNodes(8,1) = 0.0; tetNodes(8,2) = 0.5;
126  tetNodes(9,0) = 0.0; tetNodes(9,1) = 0.5; tetNodes(9,2) = 0.5;
127 
128 
129  // Generic array for the output values; needs to be properly resized depending on the operator type
130  FieldContainer<double> vals;
131 
132 
133  try{
134  // exception #1: GRAD cannot be applied to HCURL functions
135  // resize vals to rank-3 container with dimensions (num. basis functions, num. points, arbitrary)
136  vals.resize(tetBasis.getCardinality(), tetNodes.dimension(0), 3 );
137  INTREPID_TEST_COMMAND( tetBasis.getValues(vals, tetNodes, OPERATOR_GRAD), throwCounter, nException );
138 
139  // exception #2: DIV cannot be applied to HCURL functions
140  // resize vals to rank-2 container with dimensions (num. basis functions, num. points)
141  vals.resize(tetBasis.getCardinality(), tetNodes.dimension(0) );
142  INTREPID_TEST_COMMAND( tetBasis.getValues(vals, tetNodes, OPERATOR_DIV), throwCounter, nException );
143 
144  // Exceptions 3-7: all bf tags/bf Ids below are wrong and should cause getDofOrdinal() and
145  // getDofTag() to access invalid array elements thereby causing bounds check exception
146  // exception #3
147  INTREPID_TEST_COMMAND( tetBasis.getDofOrdinal(3,0,0), throwCounter, nException );
148  // exception #4
149  INTREPID_TEST_COMMAND( tetBasis.getDofOrdinal(1,1,1), throwCounter, nException );
150  // exception #5
151  INTREPID_TEST_COMMAND( tetBasis.getDofOrdinal(0,4,1), throwCounter, nException );
152  // exception #6
153  INTREPID_TEST_COMMAND( tetBasis.getDofTag(7), throwCounter, nException );
154  // exception #7
155  INTREPID_TEST_COMMAND( tetBasis.getDofTag(-1), throwCounter, nException );
156 
157 #ifdef HAVE_INTREPID_DEBUG
158  // Exceptions 8-15 test exception handling with incorrectly dimensioned input/output arrays
159  // exception #8: input points array must be of rank-2
160  FieldContainer<double> badPoints1(4, 5, 3);
161  INTREPID_TEST_COMMAND( tetBasis.getValues(vals,badPoints1,OPERATOR_VALUE), throwCounter, nException );
162 
163  // exception #9 dimension 1 in the input point array must equal space dimension of the cell
164  FieldContainer<double> badPoints2(4, 2);
165  INTREPID_TEST_COMMAND( tetBasis.getValues(vals,badPoints2,OPERATOR_VALUE), throwCounter, nException );
166 
167  // exception #10 output values must be of rank-3 for OPERATOR_VALUE
168  FieldContainer<double> badVals1(4, 3);
169  INTREPID_TEST_COMMAND( tetBasis.getValues(badVals1,tetNodes,OPERATOR_VALUE), throwCounter, nException );
170 
171  // exception #11 output values must be of rank-3 for OPERATOR_CURL
172  INTREPID_TEST_COMMAND( tetBasis.getValues(badVals1,tetNodes,OPERATOR_CURL), throwCounter, nException );
173 
174  // exception #12 incorrect 0th dimension of output array (must equal number of basis functions)
175  FieldContainer<double> badVals2(tetBasis.getCardinality() + 1, tetNodes.dimension(0), 3);
176  INTREPID_TEST_COMMAND( tetBasis.getValues(badVals2,tetNodes,OPERATOR_VALUE), throwCounter, nException );
177 
178  // exception #13 incorrect 1st dimension of output array (must equal number of points)
179  FieldContainer<double> badVals3(tetBasis.getCardinality(), tetNodes.dimension(0) + 1, 3);
180  INTREPID_TEST_COMMAND( tetBasis.getValues(badVals3,tetNodes,OPERATOR_VALUE), throwCounter, nException );
181 
182  // exception #14: incorrect 2nd dimension of output array (must equal the space dimension)
183  FieldContainer<double> badVals4(tetBasis.getCardinality(), tetNodes.dimension(0), 4);
184  INTREPID_TEST_COMMAND( tetBasis.getValues(badVals4,tetNodes,OPERATOR_VALUE), throwCounter, nException );
185 
186  // exception #15: incorrect 2nd dimension of output array (must equal the space dimension)
187  INTREPID_TEST_COMMAND( tetBasis.getValues(badVals4,tetNodes,OPERATOR_CURL), throwCounter, nException );
188 #endif
189 
190  }
191  catch (const 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  // Note Teuchos throw number will not pick up exceptions 3-7 and therefore will not match.
200  if (throwCounter != nException) {
201  errorFlag++;
202  *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
203  }
204 
205  *outStream \
206  << "\n"
207  << "===============================================================================\n"\
208  << "| TEST 2: correctness of tag to enum and enum to tag lookups |\n"\
209  << "===============================================================================\n";
210 
211  try{
212  std::vector<std::vector<int> > allTags = tetBasis.getAllDofTags();
213 
214  // Loop over all tags, lookup the associated dof enumeration and then lookup the tag again
215  for (unsigned i = 0; i < allTags.size(); i++) {
216  int bfOrd = tetBasis.getDofOrdinal(allTags[i][0], allTags[i][1], allTags[i][2]);
217 
218  std::vector<int> myTag = tetBasis.getDofTag(bfOrd);
219  if( !( (myTag[0] == allTags[i][0]) &&
220  (myTag[1] == allTags[i][1]) &&
221  (myTag[2] == allTags[i][2]) &&
222  (myTag[3] == allTags[i][3]) ) ) {
223  errorFlag++;
224  *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
225  *outStream << " getDofOrdinal( {"
226  << allTags[i][0] << ", "
227  << allTags[i][1] << ", "
228  << allTags[i][2] << ", "
229  << allTags[i][3] << "}) = " << bfOrd <<" but \n";
230  *outStream << " getDofTag(" << bfOrd << ") = { "
231  << myTag[0] << ", "
232  << myTag[1] << ", "
233  << myTag[2] << ", "
234  << myTag[3] << "}\n";
235  }
236  }
237 
238  // Now do the same but loop over basis functions
239  for( int bfOrd = 0; bfOrd < tetBasis.getCardinality(); bfOrd++) {
240  std::vector<int> myTag = tetBasis.getDofTag(bfOrd);
241  int myBfOrd = tetBasis.getDofOrdinal(myTag[0], myTag[1], myTag[2]);
242  if( bfOrd != myBfOrd) {
243  errorFlag++;
244  *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
245  *outStream << " getDofTag(" << bfOrd << ") = { "
246  << myTag[0] << ", "
247  << myTag[1] << ", "
248  << myTag[2] << ", "
249  << myTag[3] << "} but getDofOrdinal({"
250  << myTag[0] << ", "
251  << myTag[1] << ", "
252  << myTag[2] << ", "
253  << myTag[3] << "} ) = " << myBfOrd << "\n";
254  }
255  }
256  }
257  catch (const std::logic_error & err){
258  *outStream << err.what() << "\n\n";
259  errorFlag = -1000;
260  };
261 
262  *outStream \
263  << "\n"
264  << "===============================================================================\n"\
265  << "| TEST 3: correctness of basis function values |\n"\
266  << "===============================================================================\n";
267 
268  outStream -> precision(20);
269 
270  // VALUE: Each row pair gives the 6x3 correct basis set values at an evaluation point: (P,F,D) layout
271  double basisValues[] = {
272  // 4 vertices
273  1.0,0.,0., 0.,0.,0., 0.,-1.0,0., 0.,0.,1.0,
274  0.,0.,0., 0.,0.,0.,
275 
276  1.0,1.0,1.0, 0.,1.,0., 0.,0.,0., 0.,0.,0.,
277  0.,0.,1., 0.,0.,0.,
278 
279  0.,0.,0., -1.,0.,0., -1.0,-1.0,-1.0,
280  0.,0.,0., 0.,0.,0., 0.,0.,1.,
281 
282  0.,0.,0., 0.,0.,0., 0.,0.,0., 1.0,1.0,1.0,
283  -1.,0.,0., 0.,-1.,0.,
284 
285  // 6 edge centers
286  1.0,0.5,0.5, 0.,0.5,0., 0.,-0.5,0.,
287  0.,0.,0.5, 0.,0.,0.5, 0.,0.,0.,
288 
289  0.5,0.5,0.5, -0.5,0.5,0.,
290  -0.5,-0.5,-0.5, 0.,0.,0., 0.,0.,0.5, 0.,0.,0.5,
291 
292  0.5,0.,0., -0.5,0.,0., -0.5,-1.0,-0.5,
293  0.,0.,0.5, 0.,0.,0., 0.,0.,0.5,
294 
295  0.5,0.,0., 0.,0.,0., 0.,-0.5,0., 0.5,0.5,1.0,
296  -0.5,0.,0., 0.,-0.5,0.,
297 
298  0.5,0.5,0.5, 0.,0.5,0., 0.,0.,0., 0.5,0.5,0.5,
299  -0.5,0.,0.5, 0.,-0.5,0.,
300 
301  0.,0.,0., -0.5,0.,0., -0.5,-0.5,-0.5, 0.5,0.5,0.5,
302  -0.5,0.,0., 0.,-0.5,0.5
303  };
304 
305  // CURL: each row pair gives the 3x12 correct values of the curls of the 12 basis functions: (P,F,D) layout
306  double basisCurls[] = {
307  // 4 vertices
308  0.,-2.0,2.0, 0.,0.,2.0, -2.0,0.,2.0, -2.0,2.0,0.,
309  0.,-2.0,0., 2.0,0.,0.,
310 
311  0.,-2.0,2.0, 0.,0.,2.0, -2.0,0.,2.0, -2.0,2.0,0.,
312  0.,-2.0,0., 2.0,0.,0.,
313 
314  0.,-2.0,2.0, 0.,0.,2.0, -2.0,0.,2.0, -2.0,2.0,0.,
315  0.,-2.0,0., 2.0,0.,0.,
316 
317  0.,-2.0,2.0, 0.,0.,2.0, -2.0,0.,2.0, -2.0,2.0,0.,
318  0.,-2.0,0., 2.0,0.,0.,
319 
320  // 6 edge centers
321  0.,-2.0,2.0, 0.,0.,2.0, -2.0,0.,2.0, -2.0,2.0,0.,
322  0.,-2.0,0., 2.0,0.,0.,
323 
324  0.,-2.0,2.0, 0.,0.,2.0, -2.0,0.,2.0, -2.0,2.0,0.,
325  0.,-2.0,0., 2.0,0.,0.,
326 
327  0.,-2.0,2.0, 0.,0.,2.0, -2.0,0.,2.0, -2.0,2.0,0.,
328  0.,-2.0,0., 2.0,0.,0.,
329 
330  0.,-2.0,2.0, 0.,0.,2.0, -2.0,0.,2.0, -2.0,2.0,0.,
331  0.,-2.0,0., 2.0,0.,0.,
332 
333  0.,-2.0,2.0, 0.,0.,2.0, -2.0,0.,2.0, -2.0,2.0,0.,
334  0.,-2.0,0., 2.0,0.,0.,
335 
336  0.,-2.0,2.0, 0.,0.,2.0, -2.0,0.,2.0, -2.0,2.0,0.,
337  0.,-2.0,0., 2.0,0.,0.,
338  };
339 
340  try{
341 
342  // Dimensions for the output arrays:
343  int numFields = tetBasis.getCardinality();
344  int numPoints = tetNodes.dimension(0);
345  int spaceDim = tetBasis.getBaseCellTopology().getDimension();
346 
347  // Generic array for values and curls that will be properly sized before each call
348  FieldContainer<double> vals;
349 
350  // Check VALUE of basis functions: resize vals to rank-3 container:
351  vals.resize(numFields, numPoints, spaceDim);
352  tetBasis.getValues(vals, tetNodes, OPERATOR_VALUE);
353  for (int i = 0; i < numFields; i++) {
354  for (int j = 0; j < numPoints; j++) {
355  for (int k = 0; k < spaceDim; k++) {
356 
357  // compute offset for (P,F,D) data layout: indices are P->j, F->i, D->k
358  int l = k + i * spaceDim + j * spaceDim * numFields;
359  if (std::abs(vals(i,j,k) - basisValues[l]) > INTREPID_TOL) {
360  errorFlag++;
361  *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
362 
363  // Output the multi-index of the value where the error is:
364  *outStream << " At multi-index { ";
365  *outStream << i << " ";*outStream << j << " ";*outStream << k << " ";
366  *outStream << "} computed value: " << vals(i,j,k)
367  << " but reference value: " << basisValues[l] << "\n";
368  }
369  }
370  }
371  }
372 
373  // Check CURL of basis function: resize vals to rank-3 container
374  vals.resize(numFields, numPoints, spaceDim);
375  tetBasis.getValues(vals, tetNodes, OPERATOR_CURL);
376  for (int i = 0; i < numFields; i++) {
377  for (int j = 0; j < numPoints; j++) {
378  for (int k = 0; k < spaceDim; k++) {
379 
380  // compute offset for (P,F,D) data layout: indices are P->j, F->i, D->k
381  int l = k + i * spaceDim + j * spaceDim * numFields;
382  if (std::abs(vals(i,j,k) - basisCurls[l]) > INTREPID_TOL) {
383  errorFlag++;
384  *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
385 
386  // Output the multi-index of the value where the error is:
387  *outStream << " At multi-index { ";
388  *outStream << i << " ";*outStream << j << " ";*outStream << k << " ";
389  *outStream << "} computed curl component: " << vals(i,j,k)
390  << " but reference curl component: " << basisCurls[l] << "\n";
391  }
392  }
393  }
394  }
395 
396  }
397 
398  // Catch unexpected errors
399  catch (const std::logic_error & err) {
400  *outStream << err.what() << "\n\n";
401  errorFlag = -1000;
402  };
403 
404  *outStream \
405  << "\n"
406  << "===============================================================================\n"\
407  << "| TEST 4: correctness of DoF locations |\n"\
408  << "===============================================================================\n";
409 
410  try{
411  Teuchos::RCP<Basis<double, FieldContainer<double> > > basis =
412  Teuchos::rcp(new Basis_HCURL_TET_I1_FEM<double, FieldContainer<double> >);
413  Teuchos::RCP<DofCoordsInterface<FieldContainer<double> > > coord_iface =
414  Teuchos::rcp_dynamic_cast<DofCoordsInterface<FieldContainer<double> > >(basis);
415 
416  int spaceDim = 3;
417  FieldContainer<double> cvals;
418  FieldContainer<double> bvals(basis->getCardinality(), basis->getCardinality(),spaceDim); // last dimension is spatial dim
419 
420  // Check exceptions.
421 #ifdef HAVE_INTREPID_DEBUG
422  cvals.resize(1,2,3);
423  INTREPID_TEST_COMMAND( coord_iface->getDofCoords(cvals), throwCounter, nException );
424  cvals.resize(3,2);
425  INTREPID_TEST_COMMAND( coord_iface->getDofCoords(cvals), throwCounter, nException );
426  cvals.resize(4,2);
427  INTREPID_TEST_COMMAND( coord_iface->getDofCoords(cvals), throwCounter, nException );
428 #endif
429  cvals.resize(6,spaceDim);
430  INTREPID_TEST_COMMAND( coord_iface->getDofCoords(cvals), throwCounter, nException ); nException--;
431  // Check if number of thrown exceptions matches the one we expect
432  if (throwCounter != nException) {
433  errorFlag++;
434  *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
435  }
436 
437  // Check mathematical correctness
438  FieldContainer<double> tangents(basis->getCardinality(),spaceDim); // tangents at each point basis point
439  tangents(0,0) = 1.0; tangents(0,1) = 0.0; tangents(0,2) = 0.0;
440  tangents(1,0) = -1.0; tangents(1,1) = 1.0; tangents(1,2) = 0.0;
441  tangents(2,0) = 0.0; tangents(2,1) = -1.0; tangents(2,2) = 0.0;
442  tangents(3,0) = 0.0; tangents(3,1) = 0.0; tangents(3,2) = 1.0;
443  tangents(4,0) = -1.0; tangents(4,1) = 0.0; tangents(4,2) = 1.0;
444  tangents(5,0) = 0.0; tangents(5,1) = -1.0; tangents(5,2) = 1.0;
445 
446  basis->getValues(bvals, cvals, OPERATOR_VALUE);
447  char buffer[120];
448  for (int i=0; i<bvals.dimension(0); i++) {
449  for (int j=0; j<bvals.dimension(1); j++) {
450 
451  double tangent = 0.0;
452  for(int d=0;d<spaceDim;d++)
453  tangent += bvals(i,j,d)*tangents(j,d);
454 
455  if ((i != j) && (std::abs(tangent - 0.0) > INTREPID_TOL)) {
456  errorFlag++;
457  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), tangent, 0.0);
458  *outStream << buffer;
459  }
460  else if ((i == j) && (std::abs(tangent - 1.0) > INTREPID_TOL)) {
461  errorFlag++;
462  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), tangent, 1.0);
463  *outStream << buffer;
464  }
465  }
466  }
467 
468  }
469  catch (const std::logic_error & err){
470  *outStream << err.what() << "\n\n";
471  errorFlag = -1000;
472  };
473 
474  if (errorFlag != 0)
475  std::cout << "End Result: TEST FAILED\n";
476  else
477  std::cout << "End Result: TEST PASSED\n";
478 
479  // reset format state of std::cout
480  std::cout.copyfmt(oldFormatState);
481 
482  return errorFlag;
483 }
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::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::Basis_HCURL_TET_I1_FEM::getValues
void getValues(ArrayScalar &outputValues, const ArrayScalar &inputPoints, const EOperator operatorType) const
Evaluation of a FEM basis on a reference Tetrahedron cell.
Definition: Intrepid_HCURL_TET_I1_FEMDef.hpp:94
Intrepid::Basis_HCURL_TET_I1_FEM
Implementation of the default H(curl)-compatible FEM basis of degree 1 on Tetrahedron cell...
Definition: Intrepid_HCURL_TET_I1_FEM.hpp:103
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::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
Intrepid_HCURL_TET_I1_FEM.hpp
Header file for the Intrepid::HCURL_TET_I1_FEM class.
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