Intrepid
test_01.cpp
Go to the documentation of this file.
1 // @HEADER
2 // ************************************************************************
3 //
4 // Intrepid Package
5 // Copyright (2007) Sandia Corporation
6 //
7 // Under terms of Contract DE-AC04-94AL85000, there is a non-exclusive
8 // license for use of this work by or on behalf of the U.S. Government.
9 //
10 // Redistribution and use in source and binary forms, with or without
11 // modification, are permitted provided that the following conditions are
12 // met:
13 //
14 // 1. Redistributions of source code must retain the above copyright
15 // notice, this list of conditions and the following disclaimer.
16 //
17 // 2. Redistributions in binary form must reproduce the above copyright
18 // notice, this list of conditions and the following disclaimer in the
19 // documentation and/or other materials provided with the distribution.
20 //
21 // 3. Neither the name of the Corporation nor the names of the
22 // contributors may be used to endorse or promote products derived from
23 // this software without specific prior written permission.
24 //
25 // THIS SOFTWARE IS PROVIDED BY SANDIA CORPORATION "AS IS" AND ANY
26 // EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
27 // IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
28 // PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL SANDIA CORPORATION OR THE
29 // CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
30 // EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
31 // PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
32 // PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
33 // LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
34 // NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
35 // SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
36 //
37 // Questions? Contact Pavel Bochev (pbboche@sandia.gov)
38 // Denis Ridzal (dridzal@sandia.gov), or
39 // Kara Peterson (kjpeter@sandia.gov)
40 //
41 // ************************************************************************
42 // @HEADER
43 
48 #include "Intrepid_FieldContainer.hpp"
49 #include "Intrepid_HGRAD_WEDGE_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_WEDGE_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_WEDGE_C2_FEM<double, FieldContainer<double> > wedgeBasis;
110  int errorFlag = 0;
111 
112  // Initialize throw counter for exception testing
113  int nException = 0;
114  int throwCounter = 0;
115 
116  // Nodes of Wedde<18>: vertices, edge midpoints, Quadrilateral face centers
117  FieldContainer<double> wedgeNodes(18, 3);
118  wedgeNodes(0,0) = 0.0; wedgeNodes(0,1) = 0.0; wedgeNodes(0,2) = -1.0;
119  wedgeNodes(1,0) = 1.0; wedgeNodes(1,1) = 0.0; wedgeNodes(1,2) = -1.0;
120  wedgeNodes(2,0) = 0.0; wedgeNodes(2,1) = 1.0; wedgeNodes(2,2) = -1.0;
121  wedgeNodes(3,0) = 0.0; wedgeNodes(3,1) = 0.0; wedgeNodes(3,2) = 1.0;
122  wedgeNodes(4,0) = 1.0; wedgeNodes(4,1) = 0.0; wedgeNodes(4,2) = 1.0;
123  wedgeNodes(5,0) = 0.0; wedgeNodes(5,1) = 1.0; wedgeNodes(5,2) = 1.0;
124 
125  wedgeNodes(6,0) = 0.5; wedgeNodes(6,1) = 0.0; wedgeNodes(6,2) = -1.0;
126  wedgeNodes(7,0) = 0.5; wedgeNodes(7,1) = 0.5; wedgeNodes(7,2) = -1.0;
127  wedgeNodes(8,0) = 0.0; wedgeNodes(8,1) = 0.5; wedgeNodes(8,2) = -1.0;
128  wedgeNodes(9,0) = 0.0; wedgeNodes(9,1) = 0.0; wedgeNodes(9,2) = 0.0;
129  wedgeNodes(10,0)= 1.0; wedgeNodes(10,1)= 0.0; wedgeNodes(10,2)= 0.0;
130  wedgeNodes(11,0)= 0.0; wedgeNodes(11,1)= 1.0; wedgeNodes(11,2)= 0.0;
131 
132  wedgeNodes(12,0)= 0.5; wedgeNodes(12,1)= 0.0; wedgeNodes(12,2)= 1.0;
133  wedgeNodes(13,0)= 0.5; wedgeNodes(13,1)= 0.5; wedgeNodes(13,2)= 1.0;
134  wedgeNodes(14,0)= 0.0; wedgeNodes(14,1)= 0.5; wedgeNodes(14,2)= 1.0;
135  wedgeNodes(15,0)= 0.5; wedgeNodes(15,1)= 0.0; wedgeNodes(15,2)= 0.0;
136  wedgeNodes(16,0)= 0.5; wedgeNodes(16,1)= 0.5; wedgeNodes(16,2)= 0.0;
137  wedgeNodes(17,0)= 0.0; wedgeNodes(17,1)= 0.5; wedgeNodes(17,2)= 0.0;
138 
139 
140  // Generic array for the output values; needs to be properly resized depending on the operator type
141  FieldContainer<double> vals;
142 
143  try{
144  // exception #1: CURL cannot be applied to scalar functions
145  // resize vals to rank-3 container with dimensions (num. points, num. basis functions)
146  vals.resize(wedgeBasis.getCardinality(), wedgeNodes.dimension(0), 3 );
147  INTREPID_TEST_COMMAND( wedgeBasis.getValues(vals, wedgeNodes, OPERATOR_DIV), throwCounter, nException );
148 
149  // exception #2: DIV cannot be applied to scalar functions
150  // resize vals to rank-2 container with dimensions (num. points, num. basis functions)
151  vals.resize(wedgeBasis.getCardinality(), wedgeNodes.dimension(0) );
152  INTREPID_TEST_COMMAND( wedgeBasis.getValues(vals, wedgeNodes, OPERATOR_DIV), throwCounter, nException );
153 
154  // Exceptions 3-7: all bf tags/bf Ids below are wrong and should cause getDofOrdinal() and
155  // getDofTag() to access invalid array elements thereby causing bounds check exception
156  // exception #3
157  INTREPID_TEST_COMMAND( wedgeBasis.getDofOrdinal(3,0,0), throwCounter, nException );
158  // exception #4
159  INTREPID_TEST_COMMAND( wedgeBasis.getDofOrdinal(1,1,1), throwCounter, nException );
160  // exception #5
161  INTREPID_TEST_COMMAND( wedgeBasis.getDofOrdinal(0,9,0), throwCounter, nException );
162  // exception #6
163  INTREPID_TEST_COMMAND( wedgeBasis.getDofTag(18), throwCounter, nException );
164  // exception #7
165  INTREPID_TEST_COMMAND( wedgeBasis.getDofTag(-1), throwCounter, nException );
166 
167 #ifdef HAVE_INTREPID_DEBUG
168  // Exceptions 8-18 test exception handling with incorrectly dimensioned input/output arrays
169  // exception #8: input points array must be of rank-2
170  FieldContainer<double> badPoints1(4, 5, 3);
171  INTREPID_TEST_COMMAND( wedgeBasis.getValues(vals, badPoints1, OPERATOR_VALUE), throwCounter, nException );
172 
173  // exception #9 dimension 1 in the input point array must equal space dimension of the cell
174  FieldContainer<double> badPoints2(4, wedgeBasis.getBaseCellTopology().getDimension() + 1);
175  INTREPID_TEST_COMMAND( wedgeBasis.getValues(vals, badPoints2, OPERATOR_VALUE), throwCounter, nException );
176 
177  // exception #10 output values must be of rank-2 for OPERATOR_VALUE
178  FieldContainer<double> badVals1(4, 3, 1);
179  INTREPID_TEST_COMMAND( wedgeBasis.getValues(badVals1, wedgeNodes, OPERATOR_VALUE), throwCounter, nException );
180 
181  // exception #11 output values must be of rank-3 for OPERATOR_GRAD
182  FieldContainer<double> badVals2(4, 3);
183  INTREPID_TEST_COMMAND( wedgeBasis.getValues(badVals2, wedgeNodes, OPERATOR_GRAD), throwCounter, nException );
184 
185  // exception #12 output values must be of rank-3 for OPERATOR_D1
186  INTREPID_TEST_COMMAND( wedgeBasis.getValues(badVals2, wedgeNodes, OPERATOR_D1), throwCounter, nException );
187 
188  // exception #13 output values must be of rank-3 for OPERATOR_D2
189  INTREPID_TEST_COMMAND( wedgeBasis.getValues(badVals2, wedgeNodes, OPERATOR_D2), throwCounter, nException );
190 
191  // exception #14 incorrect 0th dimension of output array (must equal number of basis functions)
192  FieldContainer<double> badVals3(wedgeBasis.getCardinality() + 1, wedgeNodes.dimension(0));
193  INTREPID_TEST_COMMAND( wedgeBasis.getValues(badVals3, wedgeNodes, OPERATOR_VALUE), throwCounter, nException );
194 
195  // exception #15 incorrect 1st dimension of output array (must equal number of points)
196  FieldContainer<double> badVals4(wedgeBasis.getCardinality(), wedgeNodes.dimension(0) + 1);
197  INTREPID_TEST_COMMAND( wedgeBasis.getValues(badVals4, wedgeNodes, OPERATOR_VALUE), throwCounter, nException );
198 
199  // exception #16: incorrect 2nd dimension of output array (must equal the space dimension)
200  FieldContainer<double> badVals5(wedgeBasis.getCardinality(), wedgeNodes.dimension(0), wedgeBasis.getBaseCellTopology().getDimension() - 1);
201  INTREPID_TEST_COMMAND( wedgeBasis.getValues(badVals5, wedgeNodes, OPERATOR_GRAD), throwCounter, nException );
202 
203  // exception #17: incorrect 2nd dimension of output array (must equal D2 cardinality in 3D)
204  FieldContainer<double> badVals6(wedgeBasis.getCardinality(), wedgeNodes.dimension(0), 40);
205  INTREPID_TEST_COMMAND( wedgeBasis.getValues(badVals6, wedgeNodes, OPERATOR_D2), throwCounter, nException );
206 
207  // exception #18: incorrect 2nd dimension of output array (must equal D3 cardinality in 3D)
208  INTREPID_TEST_COMMAND( wedgeBasis.getValues(badVals6, wedgeNodes, OPERATOR_D3), throwCounter, nException );
209 #endif
210 
211  }
212  catch (const std::logic_error & err) {
213  *outStream << "UNEXPECTED ERROR !!! ----------------------------------------------------------\n";
214  *outStream << err.what() << '\n';
215  *outStream << "-------------------------------------------------------------------------------" << "\n\n";
216  errorFlag = -1000;
217  };
218 
219  // Check if number of thrown exceptions matches the one we expect - 18
220  if (throwCounter != nException) {
221  errorFlag++;
222  *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
223  }
224 
225  *outStream \
226  << "\n"
227  << "===============================================================================\n"\
228  << "| TEST 2: correctness of tag to enum and enum to tag lookups |\n"\
229  << "===============================================================================\n";
230 
231  try{
232  std::vector<std::vector<int> > allTags = wedgeBasis.getAllDofTags();
233 
234  // Loop over all tags, lookup the associated dof enumeration and then lookup the tag again
235  for (unsigned i = 0; i < allTags.size(); i++) {
236  int bfOrd = wedgeBasis.getDofOrdinal(allTags[i][0], allTags[i][1], allTags[i][2]);
237 
238  std::vector<int> myTag = wedgeBasis.getDofTag(bfOrd);
239  if( !( (myTag[0] == allTags[i][0]) &&
240  (myTag[1] == allTags[i][1]) &&
241  (myTag[2] == allTags[i][2]) &&
242  (myTag[3] == allTags[i][3]) ) ) {
243  errorFlag++;
244  *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
245  *outStream << " getDofOrdinal( {"
246  << allTags[i][0] << ", "
247  << allTags[i][1] << ", "
248  << allTags[i][2] << ", "
249  << allTags[i][3] << "}) = " << bfOrd <<" but \n";
250  *outStream << " getDofTag(" << bfOrd << ") = { "
251  << myTag[0] << ", "
252  << myTag[1] << ", "
253  << myTag[2] << ", "
254  << myTag[3] << "}\n";
255  }
256  }
257 
258  // Now do the same but loop over basis functions
259  for( int bfOrd = 0; bfOrd < wedgeBasis.getCardinality(); bfOrd++) {
260  std::vector<int> myTag = wedgeBasis.getDofTag(bfOrd);
261  int myBfOrd = wedgeBasis.getDofOrdinal(myTag[0], myTag[1], myTag[2]);
262  if( bfOrd != myBfOrd) {
263  errorFlag++;
264  *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
265  *outStream << " getDofTag(" << bfOrd << ") = { "
266  << myTag[0] << ", "
267  << myTag[1] << ", "
268  << myTag[2] << ", "
269  << myTag[3] << "} but getDofOrdinal({"
270  << myTag[0] << ", "
271  << myTag[1] << ", "
272  << myTag[2] << ", "
273  << myTag[3] << "} ) = " << myBfOrd << "\n";
274  }
275  }
276  }
277  catch (const std::logic_error & err){
278  *outStream << err.what() << "\n\n";
279  errorFlag = -1000;
280  };
281 
282  *outStream \
283  << "\n"
284  << "===============================================================================\n"\
285  << "| TEST 3: correctness of basis function values |\n"\
286  << "===============================================================================\n";
287 
288  outStream -> precision(20);
289 
290  // VALUE: correct basis function values in (F,P) format
291  double basisValues[] = {
292  1.00, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.00, 0, \
293  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.00, 0, 0, 0, 0, \
294  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.00, 0, 0, 0, 0, 0, 0, 0, \
295  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.00, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
296  0, 0, 0, 0, 0, 0, 0, 0, 1.00, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
297  0, 0, 0, 0, 0, 1.00, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
298  0, 0, 1.00, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
299  1.00, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.00, 0, \
300  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.00, 0, 0, 0, 0, \
301  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.00, 0, 0, 0, 0, 0, 0, 0, \
302  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.00, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
303  0, 0, 0, 0, 0, 0, 0, 0, 1.00, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
304  0, 0, 0, 0, 0, 1.00, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
305  0, 0, 1.00, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
306  1.00, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.00 };
307 
308  // GRAD, D1, D2, D3 and D4 test values are stored in files due to their large size
309  std::string fileName;
310  std::ifstream dataFile;
311 
312  // GRAD and D1 values are stored in (F,P,D) format in a data file. Read file and do the test
313  std::vector<double> basisGrads; // Flat array for the gradient values.
314 
315  fileName = "./testdata/WEDGE_C2_GradVals.dat";
316  dataFile.open(fileName.c_str());
317  TEUCHOS_TEST_FOR_EXCEPTION( !dataFile.good(), std::logic_error,
318  ">>> ERROR (HGRAD_WEDGE_C2/test01): could not open GRAD values data file, test aborted.");
319  while (!dataFile.eof() ){
320  double temp;
321  string line; // string for one line of input file
322  std::getline(dataFile, line); // get next line from file
323  stringstream data_line(line); // convert to stringstream
324  while(data_line >> temp){ // extract value from line
325  basisGrads.push_back(temp); // push into vector
326  }
327  }
328  // It turns out that just closing and then opening the ifstream variable does not reset it
329  // and subsequent open() command fails. One fix is to explicitely clear the ifstream, or
330  // scope the variables.
331  dataFile.close();
332  dataFile.clear();
333 
334 
335  //D2: flat array with the values of D2 applied to basis functions. Multi-index is (F,P,D2cardinality)
336  std::vector<double> basisD2;
337 
338  fileName = "./testdata/WEDGE_C2_D2Vals.dat";
339  dataFile.open(fileName.c_str());
340  TEUCHOS_TEST_FOR_EXCEPTION( !dataFile.good(), std::logic_error,
341  ">>> ERROR (HGRAD_WEDGE_C2/test01): could not open D2 values data file, test aborted.");
342 
343  while (!dataFile.eof() ){
344  double temp;
345  string line; // string for one line of input file
346  std::getline(dataFile, line); // get next line from file
347  stringstream data_line(line); // convert to stringstream
348  while(data_line >> temp){ // extract value from line
349  basisD2.push_back(temp); // push into vector
350  }
351  }
352  dataFile.close();
353  dataFile.clear();
354 
355 
356  //D3: flat array with the values of D3 applied to basis functions. Multi-index is (F,P,D3cardinality)
357  std::vector<double> basisD3;
358 
359  fileName = "./testdata/WEDGE_C2_D3Vals.dat";
360  dataFile.open(fileName.c_str());
361  TEUCHOS_TEST_FOR_EXCEPTION( !dataFile.good(), std::logic_error,
362  ">>> ERROR (HGRAD_WEDGE_C2/test01): could not open D3 values data file, test aborted.");
363 
364  while (!dataFile.eof() ){
365  double temp;
366  string line; // string for one line of input file
367  std::getline(dataFile, line); // get next line from file
368  stringstream data_line(line); // convert to stringstream
369  while(data_line >> temp){ // extract value from line
370  basisD3.push_back(temp); // push into vector
371  }
372  }
373  dataFile.close();
374  dataFile.clear();
375 
376 
377  //D4: flat array with the values of D3 applied to basis functions. Multi-index is (F,P,D4cardinality)
378  std::vector<double> basisD4;
379 
380  fileName = "./testdata/WEDGE_C2_D4Vals.dat";
381  dataFile.open(fileName.c_str());
382  TEUCHOS_TEST_FOR_EXCEPTION( !dataFile.good(), std::logic_error,
383  ">>> ERROR (HGRAD_WEDGE_C2/test01): could not open D4 values data file, test aborted.");
384 
385  while (!dataFile.eof() ){
386  double temp;
387  string line; // string for one line of input file
388  std::getline(dataFile, line); // get next line from file
389  stringstream data_line(line); // convert to stringstream
390  while(data_line >> temp){ // extract value from line
391  basisD4.push_back(temp); // push into vector
392  }
393  }
394  dataFile.close();
395  dataFile.clear();
396 
397 
398  try{
399 
400  // Dimensions for the output arrays:
401  int numFields = wedgeBasis.getCardinality();
402  int numPoints = wedgeNodes.dimension(0);
403  int spaceDim = wedgeBasis.getBaseCellTopology().getDimension();
404 
405  // Generic array for values, grads, curls, etc. that will be properly sized before each call
406  FieldContainer<double> vals;
407 
408  // Check VALUE of basis functions: resize vals to rank-2 container:
409  vals.resize(numFields, numPoints);
410  wedgeBasis.getValues(vals, wedgeNodes, OPERATOR_VALUE);
411  for (int i = 0; i < numFields; i++) {
412  for (int j = 0; j < numPoints; j++) {
413  int l = i + j * numFields;
414  if (std::abs(vals(i,j) - basisValues[l]) > INTREPID_TOL) {
415  errorFlag++;
416  *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
417 
418  // Output the multi-index of the value where the error is:
419  *outStream << " At multi-index { ";
420  *outStream << i << " ";*outStream << j << " ";
421  *outStream << "} computed value: " << vals(i,j)
422  << " but reference value: " << basisValues[l] << "\n";
423  }
424  }
425  }
426 
427 
428 
429  // Check GRAD of basis function: resize vals to rank-3 container
430  vals.resize(numFields, numPoints, spaceDim);
431  wedgeBasis.getValues(vals, wedgeNodes, OPERATOR_GRAD);
432  for (int i = 0; i < numFields; i++) {
433  for (int j = 0; j < numPoints; j++) {
434  for (int k = 0; k < spaceDim; k++) {
435 
436  // basisGrads is (F,P,D), compute offset:
437  int l = k + j * spaceDim + i * spaceDim * numPoints;
438  if (std::abs(vals(i,j,k) - basisGrads[l]) > INTREPID_TOL) {
439  errorFlag++;
440  *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
441 
442  // Output the multi-index of the value where the error is:
443  *outStream << " At multi-index { ";
444  *outStream << i << " ";*outStream << j << " ";*outStream << k << " ";
445  *outStream << "} computed grad component: " << vals(i,j,k)
446  << " but reference grad component: " << basisGrads[l] << "\n";
447  }
448  }
449  }
450  }
451 
452  // Check D1 of basis function (do not resize vals because it has the correct size: D1 = GRAD)
453  wedgeBasis.getValues(vals, wedgeNodes, OPERATOR_D1);
454  for (int i = 0; i < numFields; i++) {
455  for (int j = 0; j < numPoints; j++) {
456  for (int k = 0; k < spaceDim; k++) {
457 
458  // basisGrads is (F,P,D), compute offset:
459  int l = k + j * spaceDim + i * spaceDim * numPoints;
460  if (std::abs(vals(i,j,k) - basisGrads[l]) > INTREPID_TOL) {
461  errorFlag++;
462  *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
463 
464  // Output the multi-index of the value where the error is:
465  *outStream << " At multi-index { ";
466  *outStream << i << " ";*outStream << j << " ";*outStream << k << " ";
467  *outStream << "} computed D1 component: " << vals(i,j,k)
468  << " but reference D1 component: " << basisGrads[l] << "\n";
469  }
470  }
471  }
472  }
473 
474 
475  // Check D2 of basis function
476  int D2cardinality = Intrepid::getDkCardinality(OPERATOR_D2, spaceDim);
477  vals.resize(numFields, numPoints, D2cardinality);
478  wedgeBasis.getValues(vals, wedgeNodes, OPERATOR_D2);
479  for (int i = 0; i < numFields; i++) {
480  for (int j = 0; j < numPoints; j++) {
481  for (int k = 0; k < D2cardinality; k++) {
482 
483  // basisD2 is (F,P,Dk), compute offset:
484  int l = k + j * D2cardinality + i * D2cardinality * numPoints;
485  if (std::abs(vals(i,j,k) - basisD2[l]) > INTREPID_TOL) {
486  errorFlag++;
487  *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
488 
489  // Output the multi-index of the value where the error is:
490  *outStream << " At multi-index { ";
491  *outStream << i << " ";*outStream << j << " ";*outStream << k << " ";
492  *outStream << "} computed D2 component: " << vals(i,j,k)
493  << " but reference D2 component: " << basisD2[l] << "\n";
494  }
495  }
496  }
497  }
498 
499 
500  // Check D3 of basis function
501  int D3cardinality = Intrepid::getDkCardinality(OPERATOR_D3, spaceDim);
502  vals.resize(numFields, numPoints, D3cardinality);
503  wedgeBasis.getValues(vals, wedgeNodes, OPERATOR_D3);
504 
505  for (int i = 0; i < numFields; i++) {
506  for (int j = 0; j < numPoints; j++) {
507  for (int k = 0; k < D3cardinality; k++) {
508 
509  // basisD3 is (F,P,Dk), compute offset:
510  int l = k + j * D3cardinality + i * D3cardinality * numPoints;
511  if (std::abs(vals(i,j,k) - basisD3[l]) > INTREPID_TOL) {
512  errorFlag++;
513  *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
514 
515  // Output the multi-index of the value where the error is:
516  *outStream << " At multi-index { ";
517  *outStream << i << " ";*outStream << j << " ";*outStream << k << " ";
518  *outStream << "} computed D3 component: " << vals(i,j,k)
519  << " but reference D3 component: " << basisD3[l] << "\n";
520  }
521  }
522  }
523  }
524 
525 
526  // Check D4 of basis function
527  int D4cardinality = Intrepid::getDkCardinality(OPERATOR_D4, spaceDim);
528  vals.resize(numFields, numPoints, D4cardinality);
529  wedgeBasis.getValues(vals, wedgeNodes, OPERATOR_D4);
530  for (int i = 0; i < numFields; i++) {
531  for (int j = 0; j < numPoints; j++) {
532  for (int k = 0; k < D4cardinality; k++) {
533 
534  // basisD4 is (F,P,Dk), compute offset:
535  int l = k + j * D4cardinality + i * D4cardinality * numPoints;
536  if (std::abs(vals(i,j,k) - basisD4[l]) > INTREPID_TOL) {
537  errorFlag++;
538  *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
539 
540  // Output the multi-index of the value where the error is:
541  *outStream << " At multi-index { ";
542  *outStream << i << " ";*outStream << j << " ";*outStream << k << " ";
543  *outStream << "} computed D4 component: " << vals(i,j,k)
544  << " but reference D4 component: " << basisD2[l] << "\n";
545  }
546  }
547  }
548  }
549 
550 
551  // Check all higher derivatives - must be zero.
552  for(EOperator op = OPERATOR_D5; op < OPERATOR_MAX; op++) {
553 
554  // The last dimension is the number of kth derivatives and needs to be resized for every Dk
555  int DkCardin = Intrepid::getDkCardinality(op, spaceDim);
556  vals.resize(numFields, numPoints, DkCardin);
557 
558  wedgeBasis.getValues(vals, wedgeNodes, op);
559  for (int i = 0; i < vals.size(); i++) {
560  if (std::abs(vals[i]) > INTREPID_TOL) {
561  errorFlag++;
562  *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
563 
564  // Get the multi-index of the value where the error is and the operator order
565  std::vector<int> myIndex;
566  vals.getMultiIndex(myIndex,i);
567  int ord = Intrepid::getOperatorOrder(op);
568  *outStream << " At multi-index { ";
569  for(int j = 0; j < vals.rank(); j++) {
570  *outStream << myIndex[j] << " ";
571  }
572  *outStream << "} computed D"<< ord <<" component: " << vals[i]
573  << " but reference D" << ord << " component: 0 \n";
574  }
575  }
576  }
577  }
578 
579  // Catch unexpected errors
580  catch (const std::logic_error & err) {
581  *outStream << err.what() << "\n\n";
582  errorFlag = -1000;
583  };
584 
585  if (errorFlag != 0)
586  std::cout << "End Result: TEST FAILED\n";
587  else
588  std::cout << "End Result: TEST PASSED\n";
589 
590  // reset format state of std::cout
591  std::cout.copyfmt(oldFormatState);
592 
593  return errorFlag;
594 }
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_WEDGE_C2_FEM.hpp
Header file for the Intrepid::G_WEDGE_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_WEDGE_C2_FEM
Implementation of the default H(grad)-compatible FEM basis of degree 2 on Wedge cell.
Definition: Intrepid_HGRAD_WEDGE_C2_FEM.hpp:119
Intrepid::Basis_HGRAD_WEDGE_C2_FEM::getValues
void getValues(ArrayScalar &outputValues, const ArrayScalar &inputPoints, const EOperator operatorType) const
FEM basis evaluation on a reference Wedge cell.
Definition: Intrepid_HGRAD_WEDGE_C2_FEMDef.hpp:109
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
Generated by doxygen 1.9.1