Intrepid
test_01.cpp
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4// Intrepid Package
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43
49#include "Intrepid_HGRAD_PYR_C1_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_PYR_C1_FEM) |\n" \
93 << "| |\n" \
94 << "| 1) Conversion of Dof tags into Dof ordinals and back |\n" \
95 << "| 2) Basis values for VALUE, GRAD, CURL, and Dk operators |\n" \
96 << "| |\n" \
97 << "| Questions? Contact Pavel Bochev (pbboche@sandia.gov), |\n" \
98 << "| Denis Ridzal (dridzal@sandia.gov), |\n" \
99 << "| Kara Peterson (kjpeter@sandia.gov). |\n" \
100 << "| |\n" \
101 << "| Intrepid's website: http://trilinos.sandia.gov/packages/intrepid |\n" \
102 << "| Trilinos website: http://trilinos.sandia.gov |\n" \
103 << "| |\n" \
104 << "===============================================================================\n"\
105 << "| TEST 1: Basis creation, exception testing |\n"\
106 << "===============================================================================\n";
107
108 // Define basis and error flag
109 Basis_HGRAD_PYR_C1_FEM<double, FieldContainer<double> > pyrBasis;
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 6 vertices of the reference PYRMID and some other points.
117 FieldContainer<double> pyrNodes(10, 3);
118 pyrNodes(0,0) = -1.0; pyrNodes(0,1) = -1.0; pyrNodes(0,2) = 0;
119 pyrNodes(1,0) = 1.0; pyrNodes(1,1) = -1.0; pyrNodes(1,2) = 0;
120 pyrNodes(2,0) = 1.0; pyrNodes(2,1) = 1.0; pyrNodes(2,2) = 0;
121 pyrNodes(3,0) = -1.0; pyrNodes(3,1) = 1.0; pyrNodes(3,2) = 0;
122 pyrNodes(4,0) = 0.0; pyrNodes(4,1) = 0.0; pyrNodes(4,2) = 1.0;
123
124 pyrNodes(5,0) = 0.25; pyrNodes(5,1) = 0.5; pyrNodes(5,2) = 0.2;
125 pyrNodes(6,0) = -0.7 ; pyrNodes(6,1) = 0.3; pyrNodes(6,2) = 0.3;
126 pyrNodes(7,0) = 0.; pyrNodes(7,1) = -0.05; pyrNodes(7,2) = 0.95;
127 pyrNodes(8,0) = -0.15; pyrNodes(8,1) = -0.2; pyrNodes(8,2) = 0.75;
128 pyrNodes(9,0) = -0.4; pyrNodes(9,1) = 0.9; pyrNodes(9,2) = 0.0;
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)
137 vals.resize(pyrBasis.getCardinality(), pyrNodes.dimension(0), 3 );
138 INTREPID_TEST_COMMAND( pyrBasis.getValues(vals, pyrNodes, 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(pyrBasis.getCardinality(), pyrNodes.dimension(0) );
143 INTREPID_TEST_COMMAND( pyrBasis.getValues(vals, pyrNodes, 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( pyrBasis.getDofOrdinal(3,0,0), throwCounter, nException );
149 // exception #4
150 INTREPID_TEST_COMMAND( pyrBasis.getDofOrdinal(1,1,1), throwCounter, nException );
151 // exception #5
152 INTREPID_TEST_COMMAND( pyrBasis.getDofOrdinal(0,6,0), throwCounter, nException );
153 // exception #6
154 INTREPID_TEST_COMMAND( pyrBasis.getDofTag(7), throwCounter, nException );
155 // exception #7
156 INTREPID_TEST_COMMAND( pyrBasis.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( pyrBasis.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, 2);
166 INTREPID_TEST_COMMAND( pyrBasis.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( pyrBasis.getValues(badVals1, pyrNodes, 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( pyrBasis.getValues(badVals2, pyrNodes, OPERATOR_GRAD), throwCounter, nException );
175
176 // exception #12 output values must be of rank-3 for OPERATOR_D1
177 INTREPID_TEST_COMMAND( pyrBasis.getValues(badVals2, pyrNodes, OPERATOR_D1), throwCounter, nException );
178
179 // exception #13 output values must be of rank-3 for OPERATOR_D2
180 //INTREPID_TEST_COMMAND( pyrBasis.getValues(badVals2, pyrNodes, OPERATOR_D2), throwCounter, nException );
181
182 // exception #14 incorrect 0th dimension of output array (must equal number of basis functions)
183 FieldContainer<double> badVals3(pyrBasis.getCardinality() + 1, pyrNodes.dimension(0));
184 INTREPID_TEST_COMMAND( pyrBasis.getValues(badVals3, pyrNodes, OPERATOR_VALUE), throwCounter, nException );
185
186 // exception #15 incorrect 1st dimension of output array (must equal number of points)
187 FieldContainer<double> badVals4(pyrBasis.getCardinality(), pyrNodes.dimension(0) + 1);
188 INTREPID_TEST_COMMAND( pyrBasis.getValues(badVals4, pyrNodes, OPERATOR_VALUE), throwCounter, nException );
189
190 // exception #16: incorrect 2nd dimension of output array (must equal the space dimension)
191 FieldContainer<double> badVals5(pyrBasis.getCardinality(), pyrNodes.dimension(0), 4);
192 INTREPID_TEST_COMMAND( pyrBasis.getValues(badVals5, pyrNodes, OPERATOR_GRAD), throwCounter, nException );
193
194 // exception #17: incorrect 2nd dimension of output array (must equal D2 cardinality in 3D)
195 //FieldContainer<double> badVals6(pyrBasis.getCardinality(), pyrNodes.dimension(0), 40);
196 //INTREPID_TEST_COMMAND( pyrBasis.getValues(badVals6, pyrNodes, OPERATOR_D2), throwCounter, nException );
197
198 // exception #18: incorrect 2nd dimension of output array (must equal D3 cardinality in 3D)
199 //INTREPID_TEST_COMMAND( pyrBasis.getValues(badVals6, pyrNodes, OPERATOR_D3), 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 - 18
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 = pyrBasis.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 = pyrBasis.getDofOrdinal(allTags[i][0], allTags[i][1], allTags[i][2]);
228
229 std::vector<int> myTag = pyrBasis.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 < pyrBasis.getCardinality(); bfOrd++) {
251 std::vector<int> myTag = pyrBasis.getDofTag(bfOrd);
252 int myBfOrd = pyrBasis.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: Each row gives the 4 correct basis set values at an evaluation point
282 double basisValues[] = {
283 1.0, 0.0, 0.0, 0.0, 0.0,
284 0.0, 1.0, 0.0, 0.0, 0.0,
285 0.0, 0.0, 1.0, 0.0, 0.0,
286 0.0, 0.0, 0.0, 1.0, 0.0,
287 0.0, 0.0, 0.0, 0.0, 1.0,
288 //
289 0.0515625, 0.0984375, 0.4265625, 0.2234375, 0.2,
290 0.2, 0, 0., 0.5, 0.3,
291 0.025, 0.025, 0., 0, 0.95,
292 0.18, 0.045, 0.005, 0.02, 0.75,
293 0.035, 0.015, 0.285, 0.665, 0.,
294 };
295
296 // GRAD and D1: each row gives the 3 x 5 correct values of the gradients of the 5 basis functions
297 double basisGrads[] = {
298 -0.5, -0.5, 0.0, 0.5, 0.0, -0.5, 0.0, 0.0, 0.0, 0.0, 0.5, -0.5, 0.0, 0.0, 1.0, \
299 -0.5, 0.0, -0.5, 0.5, -0.5, 0.0, 0.0, 0.5, -0.5, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, \
300 0.0, 0.0, 0.0, 0.0, -0.5, -0.5, 0.5, 0.5, 0.0, -0.5, 0.0, -0.5, 0.0, 0.0, 1.0, \
301 0.0, -0.5, -0.5, 0.0, 0.0, 0.0, 0.5, 0.0, -0.5, -0.5, 0.5, 0.0, 0.0, 0.0, 1.0, \
302 -0.25,-0.25,-0.25, 0.25,-0.25,-0.25, 0.25, 0.25,-0.25,-0.25, 0.25,-0.25, 0.0, 0.0, 1.0, \
303 -0.09375, -0.171875, -0.201171875, 0.09375, -0.328125, -0.298828125, 0.40625, 0.328125, -0.201171875, -0.40625, 0.171875, -0.298828125, 0.0, 0.0, 1.0, \
304 -0.1428571428571429, -0.5, -0.3571428571428571, 0.1428571428571429, 0.0, -0.1428571428571429, 0.3571428571428571, 0.0, -0.3571428571428571, -0.3571428571428571, 0.5, -0.1428571428571429, 0.0, 0.0, 1.0, \
305 -0.5, -0.25, -0.25, 0.5, -0.25, -0.25, 0.0, 0.25, -0.25, 0., 0.25, -0.25, 0.0, 0.0, 1.0, \
306 -0.45, -0.4, -0.13, 0.45, -0.1, -0.37, 0.05, 0.1, -0.13, -0.05, 0.4, -0.37, 0.0, 0.0, 1.0, \
307 -0.025, -0.35, -0.34, 0.025, -0.15, -0.16, 0.475, 0.15, -0.34, -0.475, 0.35, -0.16, 0.0, 0.0, 1.0
308 };
309
310
311 //D2: flat array with the values of D2 applied to basis functions. Multi-index is (P,F,K)
312 const double eps = std::numeric_limits<double>::epsilon( );
313 double basisD2[] = {
314 0, 0.25,-0.25, 0,-0.25, 0.5, 0,-0.25, 0.25, 0, 0.25,-0.5, 0, 0.25,-0.25, 0,-0.25, 0.5, 0,-0.25, 0.25, 0, 0.25,-0.5, 0, 0, 0, 0, 0, 0, \
315 0, 0.25,-0.25, 0, 0.25,-0.5, 0,-0.25, 0.25, 0,-0.25, 0.5, 0, 0.25,-0.25, 0, 0.25,-0.5, 0,-0.25, 0.25, 0,-0.25, 0.5, 0, 0, 0, 0, 0, 0, \
316 0, 0.25, 0.25, 0, 0.25, 0.5, 0,-0.25,-0.25, 0,-0.25,-0.5, 0, 0.25, 0.25, 0, 0.25, 0.5, 0,-0.25,-0.25, 0,-0.25,-0.5, 0, 0, 0, 0, 0, 0, \
317 0, 0.25, 0.25, 0,-0.25,-0.5, 0,-0.25,-0.25, 0, 0.25, 0.5, 0, 0.25, 0.25, 0,-0.25,-0.5, 0,-0.25,-0.25, 0, 0.25, 0.5, 0, 0, 0, 0, 0, 0, \
318 0, 0.25/eps, 0, 0, 0, 0, 0,-0.25/eps, 0, 0, 0, 0, 0, 0.25/eps, 0, 0, 0, 0, 0,-0.25/eps, 0, 0, 0, 0, 0, 0, 0, 0, 0,0, \
319 0, 0.3125, 0.1953125, 0, 0.09765625, 0.1220703125, 0,-0.3125,-0.1953125, 0,-0.09765625,-0.1220703125, 0, 0.3125, 0.1953125, 0, 0.09765625, 0.1220703125, 0,-0.3125,-0.1953125, 0,-0.09765625,-0.1220703125, 0, 0, 0, 0, 0, 0, \
320 0, 0.3571428571428571, 0.1530612244897959, 0,-0.3571428571428571,-0.306122448979592, 0,-0.3571428571428572,-0.1530612244897959, 0, 0.3571428571428571, 0.306122448979592, 0, 0.3571428571428571, 0.1530612244897959, 0,-0.3571428571428571,-0.306122448979592, 0,-0.3571428571428571,-0.1530612244897959, 0, 0.3571428571428571, 0.306122448979592, 0, 0, 0, 0, 0, 0, \
321 0, 5,-5, 0, 0, 0, 0,-5, 5, 0, 0, 0, 0, 5,-5, 0, 0, 0, 0, -5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
322 0, 1,-0.8, 0,-0.6, 0.96, 0, -1, 0.8, 0, 0.6,-0.96, 0,1,-0.8, 0, -0.6, 0.96, 0, -1, 0.8, 0, 0.6, -0.96, 0, 0, 0, 0, 0, 0, \
323 0, 0.25, 0.225, 0,-0.1,-0.18, 0,-0.25,-0.225, 0, 0.1, 0.18, 0, 0.25, 0.225, 0,-0.1,-0.18, 0,-0.25,-0.225,0,0.1,0.18, 0, 0, 0, 0, 0, 0
324 };
325 try{
326
327 // Dimensions for the output arrays:
328 int numFields = pyrBasis.getCardinality();
329 int numPoints = pyrNodes.dimension(0);
330 int spaceDim = pyrBasis.getBaseCellTopology().getDimension();
331 int D2Cardin = Intrepid::getDkCardinality(OPERATOR_D2, spaceDim);
332
333 // Generic array for values, grads, curls, etc. that will be properly sized before each call
334 FieldContainer<double> vals;
335
336 // Check VALUE of basis functions: resize vals to rank-2 container:
337 vals.resize(numFields, numPoints);
338 pyrBasis.getValues(vals, pyrNodes, OPERATOR_VALUE);
339 for (int i = 0; i < numFields; i++) {
340 for (int j = 0; j < numPoints; j++) {
341 int l = i + j * numFields;
342 if (std::abs(vals(i,j) - basisValues[l]) > INTREPID_TOL) {
343 errorFlag++;
344 *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
345
346 // Output the multi-index of the value where the error is:
347 *outStream << " At multi-index { ";
348 *outStream << i << " ";*outStream << j << " ";
349 *outStream << "} computed value: " << vals(i,j)
350 << " but reference value: " << basisValues[l] << "\n";
351 }
352 }
353 }
354
355 // Check GRAD of basis function: resize vals to rank-3 container
356 vals.resize(numFields, numPoints, spaceDim);
357 pyrBasis.getValues(vals, pyrNodes, OPERATOR_GRAD);
358 for (int i = 0; i < numFields; i++) {
359 for (int j = 0; j < numPoints; j++) {
360 for (int k = 0; k < spaceDim; k++) {
361 int l = k + i * spaceDim + j * spaceDim * numFields;
362 if (std::abs(vals(i,j,k) - basisGrads[l]) > INTREPID_TOL) {
363 errorFlag++;
364 *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
365
366 // Output the multi-index of the value where the error is:
367 *outStream << " At multi-index { ";
368 *outStream << i << " ";*outStream << j << " ";*outStream << k << " ";
369 *outStream << "} computed grad component: " << vals(i,j,k)
370 << " but reference grad component: " << basisGrads[l] << "\n";
371 }
372 }
373 }
374 }
375
376 // Check D1 of basis function (do not resize vals because it has the correct size: D1 = GRAD)
377 pyrBasis.getValues(vals, pyrNodes, OPERATOR_D1);
378 for (int i = 0; i < numFields; i++) {
379 for (int j = 0; j < numPoints; j++) {
380 for (int k = 0; k < spaceDim; k++) {
381 int l = k + i * spaceDim + j * spaceDim * numFields;
382 if (std::abs(vals(i,j,k) - basisGrads[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 D1 component: " << vals(i,j,k)
390 << " but reference D1 component: " << basisGrads[l] << "\n";
391 }
392 }
393 }
394 }
395
396 // Check D2 of basis function
397 vals.resize(numFields, numPoints, D2Cardin);
398 pyrBasis.getValues(vals, pyrNodes, OPERATOR_D2);
399 for (int i = 0; i < numFields; i++) {
400 for (int j = 0; j < numPoints; j++) {
401 if(j == 4) continue; //derivatives are singular when z = 1.
402 for (int k = 0; k < D2Cardin; k++) {
403 int l = k + i * D2Cardin + j * D2Cardin * numFields;
404 if (std::abs(vals(i,j,k) - basisD2[l]) > INTREPID_TOL) {
405 errorFlag++;
406 *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
407
408 // Output the multi-index of the value where the error is:
409 *outStream << " At multi-index { ";
410 *outStream << i << " ";*outStream << j << " ";*outStream << k << " ";
411 *outStream << "} computed D2 component: " << vals(i,j,k)
412 << " but reference D2 component: " << basisD2[l] << "\n";
413 }
414 }
415 }
416 }
417 }
418
419
420 // Catch unexpected errors
421 catch (const std::logic_error & err) {
422 *outStream << err.what() << "\n\n";
423 errorFlag = -1000;
424 };
425
426 if (errorFlag != 0)
427 std::cout << "End Result: TEST FAILED\n";
428 else
429 std::cout << "End Result: TEST PASSED\n";
430
431 // reset format state of std::cout
432 std::cout.copyfmt(oldFormatState);
433
434 return errorFlag;
435}
Header file for utility class to provide multidimensional containers.
int getDkCardinality(const EOperator operatorType, const int spaceDim)
Returns cardinality of Dk, i.e., the number of all derivatives of order k.