Intrepid
test_01.cpp
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43 
48 #include "Intrepid_FieldContainer.hpp"
49 #include "Intrepid_HGRAD_TET_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_TET_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_TET_C2_FEM<double, FieldContainer<double> > tetBasis;
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 10 nodes of Tetrahedron<10>: 4 vertices + 6 edge midpoints
117  FieldContainer<double> tetNodes(10, 3);
118  tetNodes(0,0) = 0.0; tetNodes(0,1) = 0.0; tetNodes(0,2) = 0.0;
119  tetNodes(1,0) = 1.0; tetNodes(1,1) = 0.0; tetNodes(1,2) = 0.0;
120  tetNodes(2,0) = 0.0; tetNodes(2,1) = 1.0; tetNodes(2,2) = 0.0;
121  tetNodes(3,0) = 0.0; tetNodes(3,1) = 0.0; tetNodes(3,2) = 1.0;
122 
123  tetNodes(4,0) = 0.5; tetNodes(4,1) = 0.0; tetNodes(4,2) = 0.0;
124  tetNodes(5,0) = 0.5; tetNodes(5,1) = 0.5; tetNodes(5,2) = 0.0;
125  tetNodes(6,0) = 0.0; tetNodes(6,1) = 0.5; tetNodes(6,2) = 0.0;
126  tetNodes(7,0) = 0.0; tetNodes(7,1) = 0.0; tetNodes(7,2) = 0.5;
127  tetNodes(8,0) = 0.5; tetNodes(8,1) = 0.0; tetNodes(8,2) = 0.5;
128  tetNodes(9,0) = 0.0; tetNodes(9,1) = 0.5; tetNodes(9,2) = 0.5;
129 
130 
131  // Generic array for the output values; needs to be properly resized depending on the operator type
132  FieldContainer<double> vals;
133 
134  try{
135  // exception #1: CURL cannot be applied to scalar functions
136  // resize vals to rank-3 container with dimensions (num. points, num. basis functions, arbitrary)
137  vals.resize(tetBasis.getCardinality(), tetNodes.dimension(0), 4 );
138  INTREPID_TEST_COMMAND( tetBasis.getValues(vals, tetNodes, OPERATOR_CURL), throwCounter, nException );
139 
140  // exception #2: DIV cannot be applied to scalar functions
141  // resize vals to rank-2 container with dimensions (num. points, num. basis functions)
142  vals.resize(tetBasis.getCardinality(), tetNodes.dimension(0) );
143  INTREPID_TEST_COMMAND( tetBasis.getValues(vals, tetNodes, OPERATOR_DIV), throwCounter, nException );
144 
145  // Exceptions 3-7: all bf tags/bf Ids below are wrong and should cause getDofOrdinal() and
146  // getDofTag() to access invalid array elements thereby causing bounds check exception
147  // exception #3
148  INTREPID_TEST_COMMAND( tetBasis.getDofOrdinal(3,0,0), throwCounter, nException );
149  // exception #4
150  INTREPID_TEST_COMMAND( tetBasis.getDofOrdinal(1,1,1), throwCounter, nException );
151  // exception #5
152  INTREPID_TEST_COMMAND( tetBasis.getDofOrdinal(0,4,0), throwCounter, nException );
153  // exception #6
154  INTREPID_TEST_COMMAND( tetBasis.getDofTag(10), throwCounter, nException );
155  // exception #7
156  INTREPID_TEST_COMMAND( tetBasis.getDofTag(-1), throwCounter, nException );
157 
158 #ifdef HAVE_INTREPID_DEBUG
159  // Exceptions 8-18 test exception handling with incorrectly dimensioned input/output arrays
160  // exception #8: input points array must be of rank-2
161  FieldContainer<double> badPoints1(4, 5, 3);
162  INTREPID_TEST_COMMAND( tetBasis.getValues(vals, badPoints1, OPERATOR_VALUE), throwCounter, nException );
163 
164  // exception #9 dimension 1 in the input point array must equal space dimension of the cell
165  FieldContainer<double> badPoints2(4, tetBasis.getBaseCellTopology().getDimension() - 1);
166  INTREPID_TEST_COMMAND( tetBasis.getValues(vals, badPoints2, OPERATOR_VALUE), throwCounter, nException );
167 
168  // exception #10 output values must be of rank-2 for OPERATOR_VALUE
169  FieldContainer<double> badVals1(4, 3, 1);
170  INTREPID_TEST_COMMAND( tetBasis.getValues(badVals1, tetNodes, OPERATOR_VALUE), throwCounter, nException );
171 
172  // exception #11 output values must be of rank-3 for OPERATOR_GRAD
173  FieldContainer<double> badVals2(4, 3);
174  INTREPID_TEST_COMMAND( tetBasis.getValues(badVals2, tetNodes, OPERATOR_GRAD), throwCounter, nException );
175 
176  // exception #12 output values must be of rank-3 for OPERATOR_D1
177  INTREPID_TEST_COMMAND( tetBasis.getValues(badVals2, tetNodes, OPERATOR_D1), throwCounter, nException );
178 
179  // exception #13 output values must be of rank-3 for OPERATOR_D2
180  INTREPID_TEST_COMMAND( tetBasis.getValues(badVals2, tetNodes, OPERATOR_D2), throwCounter, nException );
181 
182  // exception #14 incorrect 0th dimension of output array (must equal number of basis functions)
183  FieldContainer<double> badVals3(tetBasis.getCardinality() + 1, tetNodes.dimension(0));
184  INTREPID_TEST_COMMAND( tetBasis.getValues(badVals3, tetNodes, OPERATOR_VALUE), throwCounter, nException );
185 
186  // exception #15 incorrect 1st dimension of output array (must equal number of points)
187  FieldContainer<double> badVals4(tetBasis.getCardinality(), tetNodes.dimension(0) + 1);
188  INTREPID_TEST_COMMAND( tetBasis.getValues(badVals4, tetNodes, OPERATOR_VALUE), throwCounter, nException );
189 
190  // exception #16: incorrect 2nd dimension of output array (must equal the space dimension)
191  FieldContainer<double> badVals5(tetBasis.getCardinality(), tetNodes.dimension(0), tetBasis.getBaseCellTopology().getDimension() + 1);
192  INTREPID_TEST_COMMAND( tetBasis.getValues(badVals5, tetNodes, OPERATOR_GRAD), throwCounter, nException );
193 
194  // exception #17: incorrect 2nd dimension of output array (must equal D2 cardinality in 2D)
195  FieldContainer<double> badVals6(tetBasis.getCardinality(), tetNodes.dimension(0), 40);
196  INTREPID_TEST_COMMAND( tetBasis.getValues(badVals6, tetNodes, OPERATOR_D1), throwCounter, nException );
197 
198  // exception #18: incorrect 2nd dimension of output array (must equal D3 cardinality in 2D)
199  INTREPID_TEST_COMMAND( tetBasis.getValues(badVals6, tetNodes, OPERATOR_D2), throwCounter, nException );
200 #endif
201 
202  }
203  catch (const std::logic_error & err) {
204  *outStream << "UNEXPECTED ERROR !!! ----------------------------------------------------------\n";
205  *outStream << err.what() << '\n';
206  *outStream << "-------------------------------------------------------------------------------" << "\n\n";
207  errorFlag = -1000;
208  };
209 
210  // Check if number of thrown exceptions matches the one we expect
211  if (throwCounter != nException) {
212  errorFlag++;
213  *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
214  }
215 
216  *outStream \
217  << "\n"
218  << "===============================================================================\n"\
219  << "| TEST 2: correctness of tag to enum and enum to tag lookups |\n"\
220  << "===============================================================================\n";
221 
222  try{
223  std::vector<std::vector<int> > allTags = tetBasis.getAllDofTags();
224 
225  // Loop over all tags, lookup the associated dof enumeration and then lookup the tag again
226  for (unsigned i = 0; i < allTags.size(); i++) {
227  int bfOrd = tetBasis.getDofOrdinal(allTags[i][0], allTags[i][1], allTags[i][2]);
228 
229  std::vector<int> myTag = tetBasis.getDofTag(bfOrd);
230  if( !( (myTag[0] == allTags[i][0]) &&
231  (myTag[1] == allTags[i][1]) &&
232  (myTag[2] == allTags[i][2]) &&
233  (myTag[3] == allTags[i][3]) ) ) {
234  errorFlag++;
235  *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
236  *outStream << " getDofOrdinal( {"
237  << allTags[i][0] << ", "
238  << allTags[i][1] << ", "
239  << allTags[i][2] << ", "
240  << allTags[i][3] << "}) = " << bfOrd <<" but \n";
241  *outStream << " getDofTag(" << bfOrd << ") = { "
242  << myTag[0] << ", "
243  << myTag[1] << ", "
244  << myTag[2] << ", "
245  << myTag[3] << "}\n";
246  }
247  }
248 
249  // Now do the same but loop over basis functions
250  for( int bfOrd = 0; bfOrd < tetBasis.getCardinality(); bfOrd++) {
251  std::vector<int> myTag = tetBasis.getDofTag(bfOrd);
252  int myBfOrd = tetBasis.getDofOrdinal(myTag[0], myTag[1], myTag[2]);
253  if( bfOrd != myBfOrd) {
254  errorFlag++;
255  *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
256  *outStream << " getDofTag(" << bfOrd << ") = { "
257  << myTag[0] << ", "
258  << myTag[1] << ", "
259  << myTag[2] << ", "
260  << myTag[3] << "} but getDofOrdinal({"
261  << myTag[0] << ", "
262  << myTag[1] << ", "
263  << myTag[2] << ", "
264  << myTag[3] << "} ) = " << myBfOrd << "\n";
265  }
266  }
267  }
268  catch (const std::logic_error & err){
269  *outStream << err.what() << "\n\n";
270  errorFlag = -1000;
271  };
272 
273  *outStream \
274  << "\n"
275  << "===============================================================================\n"\
276  << "| TEST 3: correctness of basis function values |\n"\
277  << "===============================================================================\n";
278 
279  outStream -> precision(20);
280 
281  // VALUE: in (F,P) format
282  double basisValues[] = {
283  1.00000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.00000, 0, 0, 0, 0, 0, 0, 0, \
284  0, 0, 0, 1.00000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.00000, 0, 0, 0, 0, \
285  0, 0, 0, 0, 0, 0, 1.00000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.00000, 0, \
286  0, 0, 0, 0, 0, 0, 0, 0, 0, 1.00000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
287  1.00000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.00000, 0, 0, 0, 0, 0, 0, 0, \
288  0, 0, 0, 1.00000 };
289 
290  // GRAD and D1: in (F,P,D) format
291  double basisGrads[] = {
292  -3.00000, -3.00000, -3.00000, 1.00000, 1.00000, 1.00000, 1.00000, \
293  1.00000, 1.00000, 1.00000, 1.00000, 1.00000, -1.00000, -1.00000, \
294  -1.00000, 1.00000, 1.00000, 1.00000, -1.00000, -1.00000, -1.00000, \
295  -1.00000, -1.00000, -1.00000, 1.00000, 1.00000, 1.00000, 1.00000, \
296  1.00000, 1.00000, -1.00000, 0, 0, 3.00000, 0, 0, -1.00000, 0, 0, \
297  -1.00000, 0, 0, 1.00000, 0, 0, 1.00000, 0, 0, -1.00000, 0, 0, \
298  -1.00000, 0, 0, 1.00000, 0, 0, -1.00000, 0, 0, 0, -1.00000, 0, 0, \
299  -1.00000, 0, 0, 3.00000, 0, 0, -1.00000, 0, 0, -1.00000, 0, 0, \
300  1.00000, 0, 0, 1.00000, 0, 0, -1.00000, 0, 0, -1.00000, 0, 0, \
301  1.00000, 0, 0, 0, -1.00000, 0, 0, -1.00000, 0, 0, -1.00000, 0, 0, \
302  3.00000, 0, 0, -1.00000, 0, 0, -1.00000, 0, 0, -1.00000, 0, 0, \
303  1.00000, 0, 0, 1.00000, 0, 0, 1.00000, 4.00000, 0, 0, -4.00000, \
304  -4.00000, -4.00000, 0, 0, 0, 0, 0, 0, 0, -2.00000, -2.00000, \
305  -2.00000, -2.00000, -2.00000, 2.00000, 0, 0, 2.00000, 0, 0, -2.00000, \
306  -2.00000, -2.00000, 0, 0, 0, 0, 0, 0, 0, 4.00000, 0, 4.00000, 0, 0, \
307  0, 0, 0, 0, 2.00000, 0, 2.00000, 2.00000, 0, 2.00000, 0, 0, 0, 0, 0, \
308  0, 2.00000, 0, 2.00000, 0, 0, 0, 4.00000, 0, 0, 0, 0, -4.00000, \
309  -4.00000, -4.00000, 0, 0, 0, 0, 2.00000, 0, -2.00000, -2.00000, \
310  -2.00000, -2.00000, 0, -2.00000, 0, 2.00000, 0, 0, 0, 0, -2.00000, \
311  -2.00000, -2.00000, 0, 0, 4.00000, 0, 0, 0, 0, 0, 0, -4.00000, \
312  -4.00000, -4.00000, 0, 0, 2.00000, 0, 0, 0, 0, 0, 2.00000, -2.00000, \
313  -2.00000, 0, -2.00000, -2.00000, -2.00000, -2.00000, -2.00000, \
314  -2.00000, 0, 0, 0, 0, 0, 4.00000, 0, 0, 0, 4.00000, 0, 0, 0, 0, \
315  2.00000, 0, 0, 2.00000, 0, 0, 0, 2.00000, 0, 0, 2.00000, 0, 2.00000, \
316  2.00000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4.00000, 0, 4.00000, 0, 0, 0, \
317  0, 0, 0, 2.00000, 0, 0, 2.00000, 0, 2.00000, 0, 0, 2.00000, 0, 0, \
318  2.00000, 2.00000};
319 
320  // D2 values in (F,P, Dk) format
321  double basisD2[]={
322  4.00000, 4.00000, 4.00000, 4.00000, 4.00000, 4.00000, 4.00000, \
323  4.00000, 4.00000, 4.00000, 4.00000, 4.00000, 4.00000, 4.00000, \
324  4.00000, 4.00000, 4.00000, 4.00000, 4.00000, 4.00000, 4.00000, \
325  4.00000, 4.00000, 4.00000, 4.00000, 4.00000, 4.00000, 4.00000, \
326  4.00000, 4.00000, 4.00000, 4.00000, 4.00000, 4.00000, 4.00000, \
327  4.00000, 4.00000, 4.00000, 4.00000, 4.00000, 4.00000, 4.00000, \
328  4.00000, 4.00000, 4.00000, 4.00000, 4.00000, 4.00000, 4.00000, \
329  4.00000, 4.00000, 4.00000, 4.00000, 4.00000, 4.00000, 4.00000, \
330  4.00000, 4.00000, 4.00000, 4.00000, 4.00000, 0, 0, 0, 0, 0, 4.00000, \
331  0, 0, 0, 0, 0, 4.00000, 0, 0, 0, 0, 0, 4.00000, 0, 0, 0, 0, 0, \
332  4.00000, 0, 0, 0, 0, 0, 4.00000, 0, 0, 0, 0, 0, 4.00000, 0, 0, 0, 0, \
333  0, 4.00000, 0, 0, 0, 0, 0, 4.00000, 0, 0, 0, 0, 0, 4.00000, 0, 0, 0, \
334  0, 0, 0, 0, 0, 4.00000, 0, 0, 0, 0, 0, 4.00000, 0, 0, 0, 0, 0, \
335  4.00000, 0, 0, 0, 0, 0, 4.00000, 0, 0, 0, 0, 0, 4.00000, 0, 0, 0, 0, \
336  0, 4.00000, 0, 0, 0, 0, 0, 4.00000, 0, 0, 0, 0, 0, 4.00000, 0, 0, 0, \
337  0, 0, 4.00000, 0, 0, 0, 0, 0, 4.00000, 0, 0, 0, 0, 0, 0, 0, 4.00000, \
338  0, 0, 0, 0, 0, 4.00000, 0, 0, 0, 0, 0, 4.00000, 0, 0, 0, 0, 0, \
339  4.00000, 0, 0, 0, 0, 0, 4.00000, 0, 0, 0, 0, 0, 4.00000, 0, 0, 0, 0, \
340  0, 4.00000, 0, 0, 0, 0, 0, 4.00000, 0, 0, 0, 0, 0, 4.00000, 0, 0, 0, \
341  0, 0, 4.00000, -8.00000, -4.00000, -4.00000, 0, 0, 0, -8.00000, \
342  -4.00000, -4.00000, 0, 0, 0, -8.00000, -4.00000, -4.00000, 0, 0, 0, \
343  -8.00000, -4.00000, -4.00000, 0, 0, 0, -8.00000, -4.00000, -4.00000, \
344  0, 0, 0, -8.00000, -4.00000, -4.00000, 0, 0, 0, -8.00000, -4.00000, \
345  -4.00000, 0, 0, 0, -8.00000, -4.00000, -4.00000, 0, 0, 0, -8.00000, \
346  -4.00000, -4.00000, 0, 0, 0, -8.00000, -4.00000, -4.00000, 0, 0, 0, \
347  0, 4.00000, 0, 0, 0, 0, 0, 4.00000, 0, 0, 0, 0, 0, 4.00000, 0, 0, 0, \
348  0, 0, 4.00000, 0, 0, 0, 0, 0, 4.00000, 0, 0, 0, 0, 0, 4.00000, 0, 0, \
349  0, 0, 0, 4.00000, 0, 0, 0, 0, 0, 4.00000, 0, 0, 0, 0, 0, 4.00000, 0, \
350  0, 0, 0, 0, 4.00000, 0, 0, 0, 0, 0, -4.00000, 0, -8.00000, -4.00000, \
351  0, 0, -4.00000, 0, -8.00000, -4.00000, 0, 0, -4.00000, 0, -8.00000, \
352  -4.00000, 0, 0, -4.00000, 0, -8.00000, -4.00000, 0, 0, -4.00000, 0, \
353  -8.00000, -4.00000, 0, 0, -4.00000, 0, -8.00000, -4.00000, 0, 0, \
354  -4.00000, 0, -8.00000, -4.00000, 0, 0, -4.00000, 0, -8.00000, \
355  -4.00000, 0, 0, -4.00000, 0, -8.00000, -4.00000, 0, 0, -4.00000, 0, \
356  -8.00000, -4.00000, 0, 0, 0, -4.00000, 0, -4.00000, -8.00000, 0, 0, \
357  -4.00000, 0, -4.00000, -8.00000, 0, 0, -4.00000, 0, -4.00000, \
358  -8.00000, 0, 0, -4.00000, 0, -4.00000, -8.00000, 0, 0, -4.00000, 0, \
359  -4.00000, -8.00000, 0, 0, -4.00000, 0, -4.00000, -8.00000, 0, 0, \
360  -4.00000, 0, -4.00000, -8.00000, 0, 0, -4.00000, 0, -4.00000, \
361  -8.00000, 0, 0, -4.00000, 0, -4.00000, -8.00000, 0, 0, -4.00000, 0, \
362  -4.00000, -8.00000, 0, 0, 4.00000, 0, 0, 0, 0, 0, 4.00000, 0, 0, 0, \
363  0, 0, 4.00000, 0, 0, 0, 0, 0, 4.00000, 0, 0, 0, 0, 0, 4.00000, 0, 0, \
364  0, 0, 0, 4.00000, 0, 0, 0, 0, 0, 4.00000, 0, 0, 0, 0, 0, 4.00000, 0, \
365  0, 0, 0, 0, 4.00000, 0, 0, 0, 0, 0, 4.00000, 0, 0, 0, 0, 0, 0, 0, \
366  4.00000, 0, 0, 0, 0, 0, 4.00000, 0, 0, 0, 0, 0, 4.00000, 0, 0, 0, 0, \
367  0, 4.00000, 0, 0, 0, 0, 0, 4.00000, 0, 0, 0, 0, 0, 4.00000, 0, 0, 0, \
368  0, 0, 4.00000, 0, 0, 0, 0, 0, 4.00000, 0, 0, 0, 0, 0, 4.00000, 0, 0, \
369  0, 0, 0, 4.00000, 0
370  };
371 
372 
373  try{
374 
375  // Dimensions for the output arrays:
376  int numFields = tetBasis.getCardinality();
377  int numPoints = tetNodes.dimension(0);
378  int spaceDim = tetBasis.getBaseCellTopology().getDimension();
379 
380  // Generic array for values, grads, curls, etc. that will be properly sized before each call
381  FieldContainer<double> vals;
382 
383  // Check VALUE of basis functions: resize vals to rank-2 container:
384  vals.resize(numFields, numPoints);
385  tetBasis.getValues(vals, tetNodes, OPERATOR_VALUE);
386  for (int i = 0; i < numFields; i++) {
387  for (int j = 0; j < numPoints; j++) {
388  int l = i + j * numFields;
389  if (std::abs(vals(i,j) - basisValues[l]) > INTREPID_TOL) {
390  errorFlag++;
391  *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
392 
393  // Output the multi-index of the value where the error is:
394  *outStream << " At multi-index { ";
395  *outStream << i << " ";*outStream << j << " ";
396  *outStream << "} computed value: " << vals(i,j)
397  << " but reference value: " << basisValues[l] << "\n";
398  }
399  }
400  }
401 
402  // Check GRAD of basis function: resize vals to rank-3 container
403  vals.resize(numFields, numPoints, spaceDim);
404  tetBasis.getValues(vals, tetNodes, OPERATOR_GRAD);
405  for (int i = 0; i < numFields; i++) {
406  for (int j = 0; j < numPoints; j++) {
407  for (int k = 0; k < spaceDim; k++) {
408 
409  // basisGrads is (F,P,D), compute offset:
410  int l = k + j * spaceDim + i * spaceDim * numPoints;
411  if (std::abs(vals(i,j,k) - basisGrads[l]) > INTREPID_TOL) {
412  errorFlag++;
413  *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
414 
415  // Output the multi-index of the value where the error is:
416  *outStream << " At multi-index { ";
417  *outStream << i << " ";*outStream << j << " ";*outStream << k << " ";
418  *outStream << "} computed grad component: " << vals(i,j,k)
419  << " but reference grad component: " << basisGrads[l] << "\n";
420  }
421  }
422  }
423  }
424 
425  // Check D1 of basis function (do not resize vals because it has the correct size: D1 = GRAD)
426  tetBasis.getValues(vals, tetNodes, OPERATOR_D1);
427  for (int i = 0; i < numFields; i++) {
428  for (int j = 0; j < numPoints; j++) {
429  for (int k = 0; k < spaceDim; k++) {
430 
431  // basisGrads is (F,P,D), compute offset:
432  int l = k + j * spaceDim + i * spaceDim * numPoints;
433  if (std::abs(vals(i,j,k) - basisGrads[l]) > INTREPID_TOL) {
434  errorFlag++;
435  *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
436 
437  // Output the multi-index of the value where the error is:
438  *outStream << " At multi-index { ";
439  *outStream << i << " ";*outStream << j << " ";*outStream << k << " ";
440  *outStream << "} computed D1 component: " << vals(i,j,k)
441  << " but reference D1 component: " << basisGrads[l] << "\n";
442  }
443  }
444  }
445  }
446 
447  // Check D2 of basis function
448  int D2cardinality = Intrepid::getDkCardinality(OPERATOR_D2, spaceDim);
449  vals.resize(numFields, numPoints, D2cardinality);
450  tetBasis.getValues(vals, tetNodes, OPERATOR_D2);
451  for (int i = 0; i < numFields; i++) {
452  for (int j = 0; j < numPoints; j++) {
453  for (int k = 0; k < D2cardinality; k++) {
454 
455  // basisD2 is (F,P,Dk), compute offset:
456  int l = k + j * D2cardinality + i * D2cardinality * numPoints;
457  if (std::abs(vals(i,j,k) - basisD2[l]) > INTREPID_TOL) {
458  errorFlag++;
459  *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
460 
461  // Output the multi-index of the value where the error is:
462  *outStream << " At multi-index { ";
463  *outStream << i << " ";*outStream << j << " ";*outStream << k << " ";
464  *outStream << "} computed D2 component: " << vals(i,j,k)
465  << " but reference D2 component: " << basisD2[l] << "\n";
466  }
467  }
468  }
469  }
470 
471 
472  // Check all higher derivatives - must be zero.
473  for(EOperator op = OPERATOR_D3; op < OPERATOR_MAX; op++) {
474 
475  // The last dimension is the number of kth derivatives and needs to be resized for every Dk
476  int DkCardin = Intrepid::getDkCardinality(op, spaceDim);
477  vals.resize(numFields, numPoints, DkCardin);
478 
479  tetBasis.getValues(vals, tetNodes, op);
480  for (int i = 0; i < vals.size(); i++) {
481  if (std::abs(vals[i]) > INTREPID_TOL) {
482  errorFlag++;
483  *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
484 
485  // Get the multi-index of the value where the error is and the operator order
486  std::vector<int> myIndex;
487  vals.getMultiIndex(myIndex,i);
488  int ord = Intrepid::getOperatorOrder(op);
489  *outStream << " At multi-index { ";
490  for(int j = 0; j < vals.rank(); j++) {
491  *outStream << myIndex[j] << " ";
492  }
493  *outStream << "} computed D"<< ord <<" component: " << vals[i]
494  << " but reference D" << ord << " component: 0 \n";
495  }
496  }
497  }
498  }
499 
500  // Catch unexpected errors
501  catch (const std::logic_error & err) {
502  *outStream << err.what() << "\n\n";
503  errorFlag = -1000;
504  };
505 
506  if (errorFlag != 0)
507  std::cout << "End Result: TEST FAILED\n";
508  else
509  std::cout << "End Result: TEST PASSED\n";
510 
511  // reset format state of std::cout
512  std::cout.copyfmt(oldFormatState);
513 
514  return errorFlag;
515 }
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_FieldContainer.hpp
Header file for utility class to provide multidimensional containers.
Intrepid_HGRAD_TET_C2_FEM.hpp
Header file for the Intrepid::HGRAD_TET_C2_FEM class.
Intrepid::getOperatorOrder
int getOperatorOrder(const EOperator operatorType)
Returns order of an operator.
Definition: Intrepid_Utils.cpp:196
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_TET_C2_FEM
Implementation of the default H(grad)-compatible FEM basis of degree 2 on Tetrahedron cell.
Definition: Intrepid_HGRAD_TET_C2_FEM.hpp:99
Intrepid::Basis_HGRAD_TET_C2_FEM::getValues
void getValues(ArrayScalar &outputValues, const ArrayScalar &inputPoints, const EOperator operatorType) const
FEM basis evaluation on a reference Tetrahedron cell.
Definition: Intrepid_HGRAD_TET_C2_FEMDef.hpp:101
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::getAllDofTags
virtual const std::vector< std::vector< int > > & getAllDofTags()
Retrieves all DoF tags.
Definition: Intrepid_BasisDef.hpp:89
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::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::FieldContainer::size
int size() const
Returns size of the FieldContainer defined as the product of its dimensions.
Definition: Intrepid_FieldContainerDef.hpp:601
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::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
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