Intrepid
test_01.cpp
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4// Intrepid Package
5// Copyright (2007) Sandia Corporation
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23// this software without specific prior written permission.
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38// Denis Ridzal (dridzal@sandia.gov), or
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43
48#include "Intrepid_FieldContainer.hpp"
49#include "Intrepid_HGRAD_HEX_I2_FEM.hpp"
50#include "Teuchos_oblackholestream.hpp"
51#include "Teuchos_RCP.hpp"
52#include "Teuchos_GlobalMPISession.hpp"
53
54using namespace std;
55using 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
71int main(int argc, char *argv[]) {
72
73 Teuchos::GlobalMPISession mpiSession(&argc, &argv);
74
75 // This little trick lets us print to std::cout only if
76 // a (dummy) command-line argument is provided.
77 int iprint = argc - 1;
78 Teuchos::RCP<std::ostream> outStream;
79 Teuchos::oblackholestream bhs; // outputs nothing
80 if (iprint > 0)
81 outStream = Teuchos::rcp(&std::cout, false);
82 else
83 outStream = Teuchos::rcp(&bhs, false);
84
85 // Save the format state of the original std::cout.
86 Teuchos::oblackholestream oldFormatState;
87 oldFormatState.copyfmt(std::cout);
88
89 *outStream \
90 << "===============================================================================\n" \
91 << "| |\n" \
92 << "| Unit Test (Basis_HGRAD_HEX_I2_FEM) |\n" \
93 << "| |\n" \
94 << "| 1) Conversion of Dof tags into Dof ordinals and back |\n" \
95 << "| 2) Basis values for VALUE, GRAD, and Dk operators |\n" \
96 << "| |\n" \
97 << "| Questions? Contact Pavel Bochev (pbboche@sandia.gov), |\n" \
98 << "| Denis Ridzal (dridzal@sandia.gov), |\n" \
99 << "| Kara Peterson (kjpeter@sandia.gov). |\n" \
100 << "| |\n" \
101 << "| Intrepid's website: http://trilinos.sandia.gov/packages/intrepid |\n" \
102 << "| Trilinos website: http://trilinos.sandia.gov |\n" \
103 << "| |\n" \
104 << "===============================================================================\n"\
105 << "| TEST 1: Basis creation, exception testing |\n"\
106 << "===============================================================================\n";
107
108 // Define basis and error flag
109 Basis_HGRAD_HEX_I2_FEM<double, FieldContainer<double> > hexBasis;
110 int errorFlag = 0;
111
112 // Initialize throw counter for exception testing
113 int nException = 0;
114 int throwCounter = 0;
115
116 // Define arrayS containing the 20 nodes of hexahedron<20> topology
117 FieldContainer<double> hexNodes(20, 3);
118 // vertices
119 hexNodes(0, 0) = -1.0; hexNodes(0, 1) = -1.0; hexNodes(0, 2) = -1.0;
120 hexNodes(1, 0) = 1.0; hexNodes(1, 1) = -1.0; hexNodes(1, 2) = -1.0;
121 hexNodes(2, 0) = 1.0; hexNodes(2, 1) = 1.0; hexNodes(2, 2) = -1.0;
122 hexNodes(3, 0) = -1.0; hexNodes(3, 1) = 1.0; hexNodes(3, 2) = -1.0;
123
124 hexNodes(4, 0) = -1.0; hexNodes(4, 1) = -1.0; hexNodes(4, 2) = 1.0;
125 hexNodes(5, 0) = 1.0; hexNodes(5, 1) = -1.0; hexNodes(5, 2) = 1.0;
126 hexNodes(6, 0) = 1.0; hexNodes(6, 1) = 1.0; hexNodes(6, 2) = 1.0;
127 hexNodes(7, 0) = -1.0; hexNodes(7, 1) = 1.0; hexNodes(7, 2) = 1.0;
128
129 // nodes on edges
130 hexNodes(8, 0) = 0.0; hexNodes(8, 1) = -1.0; hexNodes(8, 2) = -1.0;
131 hexNodes(9, 0) = 1.0; hexNodes(9, 1) = 0.0; hexNodes(9, 2) = -1.0;
132 hexNodes(10,0) = 0.0; hexNodes(10,1) = 1.0; hexNodes(10,2) = -1.0;
133 hexNodes(11,0) = -1.0; hexNodes(11,1) = 0.0; hexNodes(11,2) = -1.0;
134 hexNodes(12,0) = -1.0; hexNodes(12,1) = -1.0; hexNodes(12,2) = 0.0;
135 hexNodes(13,0) = 1.0; hexNodes(13,1) = -1.0; hexNodes(13,2) = 0.0;
136 hexNodes(14,0) = 1.0; hexNodes(14,1) = 1.0; hexNodes(14,2) = 0.0;
137 hexNodes(15,0) = -1.0; hexNodes(15,1) = 1.0; hexNodes(15,2) = 0.0;
138 hexNodes(16,0) = 0.0; hexNodes(16,1) = -1.0; hexNodes(16,2) = 1.0;
139 hexNodes(17,0) = 1.0; hexNodes(17,1) = 0.0; hexNodes(17,2) = 1.0;
140 hexNodes(18,0) = 0.0; hexNodes(18,1) = 1.0; hexNodes(18,2) = 1.0;
141 hexNodes(19,0) = -1.0; hexNodes(19,1) = 0.0; hexNodes(19,2) = 1.0;
142
143 // Generic array for the output values; needs to be properly resized depending on the operator type
144 FieldContainer<double> vals;
145
146 try{
147 // exception #1: CURL cannot be applied to scalar functions in 3D
148 // resize vals to rank-3 container with dimensions (num. basis functions, num. points, arbitrary)
149 vals.resize(hexBasis.getCardinality(), hexNodes.dimension(0), 4 );
150 INTREPID_TEST_COMMAND( hexBasis.getValues(vals, hexNodes, OPERATOR_CURL), throwCounter, nException );
151
152 // exception #2: DIV cannot be applied to scalar functions in 3D
153 // resize vals to rank-2 container with dimensions (num. basis functions, num. points)
154 vals.resize(hexBasis.getCardinality(), hexNodes.dimension(0) );
155 INTREPID_TEST_COMMAND( hexBasis.getValues(vals, hexNodes, OPERATOR_DIV), throwCounter, nException );
156
157 // Exceptions 3-7: all bf tags/bf Ids below are wrong and should cause getDofOrdinal() and
158 // getDofTag() to access invalid array elements thereby causing bounds check exception
159 // exception #3
160 INTREPID_TEST_COMMAND( hexBasis.getDofOrdinal(3,10,0), throwCounter, nException );
161 // exception #4
162 INTREPID_TEST_COMMAND( hexBasis.getDofOrdinal(1,2,1), throwCounter, nException );
163 // exception #5
164 INTREPID_TEST_COMMAND( hexBasis.getDofOrdinal(0,4,1), throwCounter, nException );
165 // exception #6
166 INTREPID_TEST_COMMAND( hexBasis.getDofTag(21), throwCounter, nException );
167 // exception #7
168 INTREPID_TEST_COMMAND( hexBasis.getDofTag(-1), throwCounter, nException );
169
170#ifdef HAVE_INTREPID_DEBUG
171 // Exceptions 8-18 test exception handling with incorrectly dimensioned input/output arrays
172 // exception #8: input points array must be of rank-2
173 FieldContainer<double> badPoints1(4, 5, 3);
174 INTREPID_TEST_COMMAND( hexBasis.getValues(vals, badPoints1, OPERATOR_VALUE), throwCounter, nException );
175
176 // exception #9 dimension 1 in the input point array must equal space dimension of the cell
177 FieldContainer<double> badPoints2(4, hexBasis.getBaseCellTopology().getDimension() - 1);
178 INTREPID_TEST_COMMAND( hexBasis.getValues(vals, badPoints2, OPERATOR_VALUE), throwCounter, nException );
179
180 // exception #10 output values must be of rank-2 for OPERATOR_VALUE
181 FieldContainer<double> badVals1(4, 3, 1);
182 INTREPID_TEST_COMMAND( hexBasis.getValues(badVals1, hexNodes, OPERATOR_VALUE), throwCounter, nException );
183
184 // exception #11 output values must be of rank-3 for OPERATOR_GRAD
185 FieldContainer<double> badVals2(4, 3);
186 INTREPID_TEST_COMMAND( hexBasis.getValues(badVals2, hexNodes, OPERATOR_GRAD), throwCounter, nException );
187
188 // exception #12 output values must be of rank-3 for OPERATOR_D1
189 INTREPID_TEST_COMMAND( hexBasis.getValues(badVals2, hexNodes, OPERATOR_D1), throwCounter, nException );
190
191 // exception #13 output values must be of rank-3 for OPERATOR_D2
192 INTREPID_TEST_COMMAND( hexBasis.getValues(badVals2, hexNodes, OPERATOR_D2), throwCounter, nException );
193
194 // exception #14 incorrect 0th dimension of output array (must equal number of basis functions)
195 FieldContainer<double> badVals3(hexBasis.getCardinality() + 1, hexNodes.dimension(0));
196 INTREPID_TEST_COMMAND( hexBasis.getValues(badVals3, hexNodes, OPERATOR_VALUE), throwCounter, nException );
197
198 // exception #15 incorrect 1st dimension of output array (must equal number of points)
199 FieldContainer<double> badVals4(hexBasis.getCardinality(), hexNodes.dimension(0) + 1);
200 INTREPID_TEST_COMMAND( hexBasis.getValues(badVals4, hexNodes, OPERATOR_VALUE), throwCounter, nException );
201
202 // exception #16: incorrect 2nd dimension of output array (must equal the space dimension)
203 FieldContainer<double> badVals5(hexBasis.getCardinality(), hexNodes.dimension(0), hexBasis.getBaseCellTopology().getDimension() - 1);
204 INTREPID_TEST_COMMAND( hexBasis.getValues(badVals5, hexNodes, OPERATOR_GRAD), throwCounter, nException );
205
206 // exception #17: incorrect 2nd dimension of output array (must equal D2 cardinality in 3D)
207 FieldContainer<double> badVals6(hexBasis.getCardinality(), hexNodes.dimension(0), 40);
208 INTREPID_TEST_COMMAND( hexBasis.getValues(badVals6, hexNodes, OPERATOR_D2), throwCounter, nException );
209
210 // exception #18: incorrect 2nd dimension of output array (must equal D3 cardinality in 3D)
211 FieldContainer<double> badVals7(hexBasis.getCardinality(), hexNodes.dimension(0), 50);
212 INTREPID_TEST_COMMAND( hexBasis.getValues(badVals7, hexNodes, OPERATOR_D3), throwCounter, nException );
213#endif
214
215 }
216 catch (const std::logic_error & err) {
217 *outStream << "UNEXPECTED ERROR !!! ----------------------------------------------------------\n";
218 *outStream << err.what() << '\n';
219 *outStream << "-------------------------------------------------------------------------------" << "\n\n";
220 errorFlag = -1000;
221 };
222
223 // Check if number of thrown exceptions matches the one we expect
224 // Note Teuchos throw number will not pick up exceptions 3-7 and therefore will not match.
225 if (throwCounter != nException) {
226 errorFlag++;
227 *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
228 }
229
230 *outStream \
231 << "\n"
232 << "===============================================================================\n"\
233 << "| TEST 2: correctness of tag to enum and enum to tag lookups |\n"\
234 << "===============================================================================\n";
235
236 try{
237 std::vector<std::vector<int> > allTags = hexBasis.getAllDofTags();
238
239 // Loop over all tags, lookup the associated dof enumeration and then lookup the tag again
240 for (unsigned i = 0; i < allTags.size(); i++) {
241 int bfOrd = hexBasis.getDofOrdinal(allTags[i][0], allTags[i][1], allTags[i][2]);
242
243 std::vector<int> myTag = hexBasis.getDofTag(bfOrd);
244 if( !( (myTag[0] == allTags[i][0]) &&
245 (myTag[1] == allTags[i][1]) &&
246 (myTag[2] == allTags[i][2]) &&
247 (myTag[3] == allTags[i][3]) ) ) {
248 errorFlag++;
249 *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
250 *outStream << " getDofOrdinal( {"
251 << allTags[i][0] << ", "
252 << allTags[i][1] << ", "
253 << allTags[i][2] << ", "
254 << allTags[i][3] << "}) = " << bfOrd <<" but \n";
255 *outStream << " getDofTag(" << bfOrd << ") = { "
256 << myTag[0] << ", "
257 << myTag[1] << ", "
258 << myTag[2] << ", "
259 << myTag[3] << "}\n";
260 }
261 }
262
263 // Now do the same but loop over basis functions
264 for( int bfOrd = 0; bfOrd < hexBasis.getCardinality(); bfOrd++) {
265 std::vector<int> myTag = hexBasis.getDofTag(bfOrd);
266 int myBfOrd = hexBasis.getDofOrdinal(myTag[0], myTag[1], myTag[2]);
267 if( bfOrd != myBfOrd) {
268 errorFlag++;
269 *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
270 *outStream << " getDofTag(" << bfOrd << ") = { "
271 << myTag[0] << ", "
272 << myTag[1] << ", "
273 << myTag[2] << ", "
274 << myTag[3] << "} but getDofOrdinal({"
275 << myTag[0] << ", "
276 << myTag[1] << ", "
277 << myTag[2] << ", "
278 << myTag[3] << "} ) = " << myBfOrd << "\n";
279 }
280 }
281 }
282 catch (const std::logic_error & err){
283 *outStream << err.what() << "\n\n";
284 errorFlag = -1000;
285 };
286
287
288 *outStream \
289 << "\n"
290 << "===============================================================================\n"\
291 << "| TEST 3: correctness of basis function values |\n"\
292 << "===============================================================================\n";
293
294 outStream -> precision(20);
295
296 // VALUE: Each row gives the 8 correct basis set values at an evaluation point
297 double basisValues[] = {
298 1.0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
299 0, 1.0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
300 0, 0, 1.0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
301 0, 0, 0, 1.0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
302 0, 0, 0, 0, 1.0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
303 0, 0, 0, 0, 0, 1.0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
304 0, 0, 0, 0, 0, 0, 1.0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
305 0, 0, 0, 0, 0, 0, 0, 1.0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
306 0, 0, 0, 0, 0, 0, 0, 0, 1.0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
307 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
308 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
309 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.0, 0, 0, 0, 0, 0, 0, 0, 0, \
310 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.0, 0, 0, 0, 0, 0, 0, 0, \
311 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.0, 0, 0, 0, 0, 0, 0, \
312 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.0, 0, 0, 0, 0, 0, \
313 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.0, 0, 0, 0, 0, \
314 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.0, 0, 0, 0, \
315 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.0, 0, 0, \
316 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.0, 0, \
317 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.0 };
318
319
320 // GRAD, D1, D2, D3 test values are stored in files due to their large size
321 std::string fileName;
322 std::ifstream dataFile;
323
324
325 // GRAD and D1 values are stored in (F,P,D) format in a data file. Read file and do the test
326 std::vector<double> basisGrads; // Flat array for the gradient values.
327
328 fileName = "./testdata/HEX_I2_GradVals.dat";
329 dataFile.open(fileName.c_str());
330 TEUCHOS_TEST_FOR_EXCEPTION( !dataFile.good(), std::logic_error,
331 ">>> ERROR (HGRAD_HEX_I2/test01): could not open GRAD values data file, test aborted.");
332 while (!dataFile.eof() ){
333 double temp;
334 string line; // string for one line of input file
335 std::getline(dataFile, line); // get next line from file
336 stringstream data_line(line); // convert to stringstream
337 while(data_line >> temp){ // extract value from line
338 basisGrads.push_back(temp); // push into vector
339 }
340 }
341 // It turns out that just closing and then opening the ifstream variable does not reset it
342 // and subsequent open() command fails. One fix is to explicitely clear the ifstream, or
343 // scope the variables.
344 dataFile.close();
345 dataFile.clear();
346
347
348 //D2: flat array with the values of D2 applied to basis functions. Multi-index is (F,P,D2cardinality)
349 std::vector<double> basisD2;
350 fileName = "./testdata/HEX_I2_D2Vals.dat";
351 dataFile.open(fileName.c_str());
352 TEUCHOS_TEST_FOR_EXCEPTION( !dataFile.good(), std::logic_error,
353 ">>> ERROR (HGRAD_HEX_I2/test01): could not open D2 values data file, test aborted.");
354 while (!dataFile.eof() ){
355 double temp;
356 string line; // string for one line of input file
357 std::getline(dataFile, line); // get next line from file
358 stringstream data_line(line); // convert to stringstream
359 while(data_line >> temp){ // extract value from line
360 basisD2.push_back(temp); // push into vector
361 }
362 }
363 dataFile.close();
364 dataFile.clear();
365
366
367 //D3: flat array with the values of D3 applied to basis functions. Multi-index is (F,P,D3cardinality)
368 std::vector<double> basisD3;
369
370 fileName = "./testdata/HEX_I2_D3Vals.dat";
371 dataFile.open(fileName.c_str());
372 TEUCHOS_TEST_FOR_EXCEPTION( !dataFile.good(), std::logic_error,
373 ">>> ERROR (HGRAD_HEX_I2/test01): could not open D3 values data file, test aborted.");
374
375 while (!dataFile.eof() ){
376 double temp;
377 string line; // string for one line of input file
378 std::getline(dataFile, line); // get next line from file
379 stringstream data_line(line); // convert to stringstream
380 while(data_line >> temp){ // extract value from line
381 basisD3.push_back(temp); // push into vector
382 }
383 }
384 dataFile.close();
385 dataFile.clear();
386
387
388
389 try{
390
391 // Dimensions for the output arrays:
392 int numFields = hexBasis.getCardinality();
393 int numPoints = hexNodes.dimension(0);
394 int spaceDim = hexBasis.getBaseCellTopology().getDimension();
395
396 // Generic array for values, grads, curls, etc. that will be properly sized before each call
397 FieldContainer<double> vals;
398
399 // Check VALUE of basis functions: resize vals to rank-2 container:
400 vals.resize(numFields, numPoints);
401 hexBasis.getValues(vals, hexNodes, OPERATOR_VALUE);
402 for (int i = 0; i < numFields; i++) {
403 for (int j = 0; j < numPoints; j++) {
404 int l = i + j * numFields;
405 if (std::abs(vals(i,j) - basisValues[l]) > INTREPID_TOL) {
406 errorFlag++;
407 *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
408
409 // Output the multi-index of the value where the error is:
410 *outStream << " At multi-index { ";
411 *outStream << i << " ";*outStream << j << " ";
412 *outStream << "} computed value: " << vals(i,j)
413 << " but reference value: " << basisValues[l] << "\n";
414 }
415 }
416 }
417
418
419 // Check GRAD of basis function: resize vals to rank-3 container
420 vals.resize(numFields, numPoints, spaceDim);
421 hexBasis.getValues(vals, hexNodes, OPERATOR_GRAD);
422 for (int i = 0; i < numFields; i++) {
423 for (int j = 0; j < numPoints; j++) {
424 for (int k = 0; k < spaceDim; k++) {
425
426 // basisGrads is (F,P,D), compute offset:
427 int l = k + j * spaceDim + i * spaceDim * numPoints;
428
429 if (std::abs(vals(i,j,k) - basisGrads[l]) > INTREPID_TOL) {
430 errorFlag++;
431 *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
432
433 // Output the multi-index of the value where the error is:
434 *outStream << " At multi-index { ";
435 *outStream << i << " ";*outStream << j << " ";*outStream << k << " ";
436 *outStream << "} computed grad component: " << vals(i,j,k)
437 << " but reference grad component: " << basisGrads[l] << "\n";
438 }
439
440 }
441 }
442 }
443
444 // Check D1 of basis function (do not resize vals because it has the correct size: D1 = GRAD)
445 hexBasis.getValues(vals, hexNodes, OPERATOR_D1);
446 for (int i = 0; i < numFields; i++) {
447 for (int j = 0; j < numPoints; j++) {
448 for (int k = 0; k < spaceDim; k++) {
449
450 // basisGrads is (F,P,D), compute offset:
451 int l = k + j * spaceDim + i * spaceDim * numPoints;
452 if (std::abs(vals(i,j,k) - basisGrads[l]) > INTREPID_TOL) {
453 errorFlag++;
454 *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
455
456 // Output the multi-index of the value where the error is:
457 *outStream << " At multi-index { ";
458 *outStream << i << " ";*outStream << j << " ";*outStream << k << " ";
459 *outStream << "} computed D1 component: " << vals(i,j,k)
460 << " but reference D1 component: " << basisGrads[l] << "\n";
461 }
462
463 }
464 }
465 }
466
467
468 // Check D2 of basis function
469 int D2cardinality = Intrepid::getDkCardinality(OPERATOR_D2, spaceDim);
470 vals.resize(numFields, numPoints, D2cardinality);
471 hexBasis.getValues(vals, hexNodes, OPERATOR_D2);
472 for (int i = 0; i < numFields; i++) {
473 for (int j = 0; j < numPoints; j++) {
474 for (int k = 0; k < D2cardinality; k++) {
475
476 // basisD2 is (F,P,Dk), compute offset:
477 int l = k + j * D2cardinality + i * D2cardinality * numPoints;
478 if (std::abs(vals(i,j,k) - basisD2[l]) > INTREPID_TOL) {
479 errorFlag++;
480 *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
481
482 // Output the multi-index of the value where the error is:
483 *outStream << " At multi-index { ";
484 *outStream << i << " ";*outStream << j << " ";*outStream << k << " ";
485 *outStream << "} computed D2 component: " << vals(i,j,k)
486 << " but reference D2 component: " << basisD2[l] << "\n";
487 }
488 }
489 }
490 }
491
492
493 // Check D3 of basis function
494 int D3cardinality = Intrepid::getDkCardinality(OPERATOR_D3, spaceDim);
495 vals.resize(numFields, numPoints, D3cardinality);
496 hexBasis.getValues(vals, hexNodes, OPERATOR_D3);
497
498 for (int i = 0; i < numFields; i++) {
499 for (int j = 0; j < numPoints; j++) {
500 for (int k = 0; k < D3cardinality; k++) {
501
502 // basisD3 is (F,P,Dk), compute offset:
503 int l = k + j * D3cardinality + i * D3cardinality * numPoints;
504 if (std::abs(vals(i,j,k) - basisD3[l]) > INTREPID_TOL) {
505 errorFlag++;
506 *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
507
508 // Output the multi-index of the value where the error is:
509 *outStream << " At multi-index { ";
510 *outStream << i << " ";*outStream << j << " ";*outStream << k << " ";
511 *outStream << "} computed D3 component: " << vals(i,j,k)
512 << " but reference D3 component: " << basisD3[l] << "\n";
513 }
514 }
515 }
516 }
517
518 }
519
520 // Catch unexpected errors
521 catch (const std::logic_error & err) {
522 *outStream << err.what() << "\n\n";
523 errorFlag = -1000;
524 };
525
526 *outStream \
527 << "\n"
528 << "===============================================================================\n"\
529 << "| TEST 4: correctness of DoF locations |\n"\
530 << "===============================================================================\n";
531
532 try{
533 Teuchos::RCP<Basis<double, FieldContainer<double> > > basis =
534 Teuchos::rcp(new Basis_HGRAD_HEX_I2_FEM<double, FieldContainer<double> >);
535 Teuchos::RCP<DofCoordsInterface<FieldContainer<double> > > coord_iface =
536 Teuchos::rcp_dynamic_cast<DofCoordsInterface<FieldContainer<double> > >(basis);
537
538 FieldContainer<double> cvals;
539 FieldContainer<double> bvals(basis->getCardinality(), basis->getCardinality());
540
541 // Check exceptions.
542#ifdef HAVE_INTREPID_DEBUG
543 cvals.resize(1,2,3);
544 INTREPID_TEST_COMMAND( coord_iface->getDofCoords(cvals), throwCounter, nException );
545 cvals.resize(3,2);
546 INTREPID_TEST_COMMAND( coord_iface->getDofCoords(cvals), throwCounter, nException );
547 cvals.resize(20,2);
548 INTREPID_TEST_COMMAND( coord_iface->getDofCoords(cvals), throwCounter, nException );
549#endif
550 cvals.resize(20,3);
551 INTREPID_TEST_COMMAND( coord_iface->getDofCoords(cvals), throwCounter, nException ); nException--;
552 // Check if number of thrown exceptions matches the one we expect
553 if (throwCounter != nException) {
554 errorFlag++;
555 *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
556 }
557
558 // Check mathematical correctness.
559 basis->getValues(bvals, cvals, OPERATOR_VALUE);
560 char buffer[120];
561 for (int i=0; i<bvals.dimension(0); i++) {
562 for (int j=0; j<bvals.dimension(1); j++) {
563 if ((i != j) && (std::abs(bvals(i,j) - 0.0) > INTREPID_TOL)) {
564 errorFlag++;
565 sprintf(buffer, "\nValue of basis function %d at (%6.4e, %6.4e, %6.4e) is %6.4e but should be %6.4e!\n", i, cvals(i,0), cvals(i,1), cvals(i,2), bvals(i,j), 0.0);
566 *outStream << buffer;
567 }
568 else if ((i == j) && (std::abs(bvals(i,j) - 1.0) > INTREPID_TOL)) {
569 errorFlag++;
570 sprintf(buffer, "\nValue of basis function %d at (%6.4e, %6.4e, %6.4e) is %6.4e but should be %6.4e!\n", i, cvals(i,0), cvals(i,1), cvals(i,2), bvals(i,j), 1.0);
571 *outStream << buffer;
572 }
573 }
574 }
575
576 }
577 catch (const std::logic_error & err){
578 *outStream << err.what() << "\n\n";
579 errorFlag = -1000;
580 };
581
582 if (errorFlag != 0)
583 std::cout << "End Result: TEST FAILED\n";
584 else
585 std::cout << "End Result: TEST PASSED\n";
586
587 // reset format state of std::cout
588 std::cout.copyfmt(oldFormatState);
589
590 return errorFlag;
591}
Intrepid_FieldContainer.hpp
Header file for utility class to provide multidimensional containers.
Intrepid_HGRAD_HEX_I2_FEM.hpp
Header file for the Intrepid::HGRAD_HEX_I2_FEM class.
Intrepid::INTREPID_TOL
static const double INTREPID_TOL
General purpose tolerance in, e.g., internal Newton's method to invert ref to phys maps.
Definition Intrepid_Types.hpp:122
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_HEX_I2_FEM
Implementation of the serendipity-family H(grad)-compatible FEM basis of degree 2 on a Hexahedron cel...
Definition Intrepid_HGRAD_HEX_I2_FEM.hpp:123
Intrepid::Basis_HGRAD_HEX_I2_FEM::getValues
void getValues(ArrayScalar &outputValues, const ArrayScalar &inputPoints, const EOperator operatorType) const
Evaluation of a FEM basis on a reference Hexahedron cell.
Definition Intrepid_HGRAD_HEX_I2_FEMDef.hpp:113
Intrepid::Basis::getDofOrdinal
virtual int getDofOrdinal(const int subcDim, const int subcOrd, const int subcDofOrd)
DoF tag to ordinal lookup.
Definition Intrepid_Basis.hpp:52
Intrepid::Basis::getAllDofTags
virtual const std::vector< std::vector< int > > & getAllDofTags()
Retrieves all DoF tags.
Definition Intrepid_Basis.hpp:90
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_Basis.hpp:113
Intrepid::Basis::getDofTag
virtual const std::vector< int > & getDofTag(const int dofOrd)
DoF ordinal to DoF tag lookup.
Definition Intrepid_Basis.hpp:79
Intrepid::Basis::getCardinality
virtual int getCardinality() const
Returns cardinality of the basis.
Definition Intrepid_Basis.hpp:101
Intrepid::FieldContainer
Implementation of a templated lexicographical container for a multi-indexed scalar quantity....
Definition Intrepid_FieldContainer.hpp:78
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
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