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
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_HDIV_QUAD_I1_FEM) |\n" \
93 << "| |\n" \
94 << "| 1) Conversion of Dof tags into Dof ordinals and back |\n" \
95 << "| 2) Basis values for VALUE and DIV 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_HDIV_QUAD_I1_FEM<double, FieldContainer<double> > quadBasis;
110 int errorFlag = 0;
111
112 // Initialize throw counter for exception testing
113 int nException = 0;
114 int throwCounter = 0;
115
116 // Array with the 4 vertices of the reference Quadrilateral, its center and 4 more points
117 FieldContainer<double> quadNodes(9, 2);
118 quadNodes(0,0) = -1.0; quadNodes(0,1) = -1.0;
119 quadNodes(1,0) = 1.0; quadNodes(1,1) = -1.0;
120 quadNodes(2,0) = 1.0; quadNodes(2,1) = 1.0;
121 quadNodes(3,0) = -1.0; quadNodes(3,1) = 1.0;
122
123 quadNodes(4,0) = 0.0; quadNodes(4,1) = 0.0;
124 quadNodes(5,0) = 0.0; quadNodes(5,1) = -0.5;
125 quadNodes(6,0) = 0.0; quadNodes(6,1) = 0.5;
126 quadNodes(7,0) = -0.5; quadNodes(7,1) = 0.0;
127 quadNodes(8,0) = 0.5; quadNodes(8,1) = 0.0;
128
129 // Generic array for the output values; needs to be properly resized depending on the operator type
130 FieldContainer<double> vals;
131
132 try{
133
134 int spaceDim = quadBasis.getBaseCellTopology().getDimension();
135
136 // exception #1: GRAD cannot be applied to HDIV functions
137 // resize vals to rank-3 container with dimensions (num. basis functions, num. points, arbitrary)
138 vals.resize(quadBasis.getCardinality(), quadNodes.dimension(0), spaceDim );
139 INTREPID_TEST_COMMAND( quadBasis.getValues(vals, quadNodes, OPERATOR_GRAD), throwCounter, nException );
140
141 // exception #2: CURL cannot be applied to HDIV functions
142 INTREPID_TEST_COMMAND( quadBasis.getValues(vals, quadNodes, OPERATOR_CURL), throwCounter, nException );
143
144 // Exceptions 3-7: all bf tags/bf Ids below are wrong and should cause getDofOrdinal() and
145 // getDofTag() to access invalid array elements thereby causing bounds check exception
146 // exception #3
147 INTREPID_TEST_COMMAND( quadBasis.getDofOrdinal(3,0,0), throwCounter, nException );
148 // exception #4
149 INTREPID_TEST_COMMAND( quadBasis.getDofOrdinal(1,1,1), throwCounter, nException );
150 // exception #5
151 INTREPID_TEST_COMMAND( quadBasis.getDofOrdinal(0,4,1), throwCounter, nException );
152 // exception #6
153 INTREPID_TEST_COMMAND( quadBasis.getDofTag(12), throwCounter, nException );
154 // exception #7
155 INTREPID_TEST_COMMAND( quadBasis.getDofTag(-1), throwCounter, nException );
156
157#ifdef HAVE_INTREPID_DEBUG
158 // Exceptions 8- test exception handling with incorrectly dimensioned input/output arrays
159 // exception #8: input points array must be of rank-2
160 FieldContainer<double> badPoints1(4, 5, 3);
161 INTREPID_TEST_COMMAND( quadBasis.getValues(vals, badPoints1, OPERATOR_VALUE), throwCounter, nException );
162
163 // exception #9 dimension 1 in the input point array must equal space dimension of the cell
164 FieldContainer<double> badPoints2(4, spaceDim + 1);
165 INTREPID_TEST_COMMAND( quadBasis.getValues(vals, badPoints2, OPERATOR_VALUE), throwCounter, nException );
166
167 // exception #10 output values must be of rank-3 for OPERATOR_VALUE
168 FieldContainer<double> badVals1(4, 5);
169 INTREPID_TEST_COMMAND( quadBasis.getValues(badVals1, quadNodes, OPERATOR_VALUE), throwCounter, nException );
170
171 // exception #11 output values must be of rank-2 for OPERATOR_DIV
172 FieldContainer<double> badVals2(4, 5, spaceDim);
173 INTREPID_TEST_COMMAND( quadBasis.getValues(badVals2, quadNodes, OPERATOR_DIV), throwCounter, nException );
174
175 // exception #12 incorrect 0th dimension of output array (must equal number of basis functions)
176 FieldContainer<double> badVals3(quadBasis.getCardinality() + 1, quadNodes.dimension(0), spaceDim);
177 INTREPID_TEST_COMMAND( quadBasis.getValues(badVals3, quadNodes, OPERATOR_VALUE), throwCounter, nException );
178
179 // exception #13 incorrect 0th dimension of output array (must equal number of basis functions)
180 FieldContainer<double> badVals4(quadBasis.getCardinality() + 1, quadNodes.dimension(0));
181 INTREPID_TEST_COMMAND( quadBasis.getValues(badVals4, quadNodes, OPERATOR_DIV), throwCounter, nException );
182
183 // exception #14 incorrect 1st dimension of output array (must equal number of points)
184 FieldContainer<double> badVals5(quadBasis.getCardinality(), quadNodes.dimension(0) + 1, spaceDim);
185 INTREPID_TEST_COMMAND( quadBasis.getValues(badVals5, quadNodes, OPERATOR_VALUE), throwCounter, nException );
186
187 // exception #15 incorrect 1st dimension of output array (must equal number of points)
188 FieldContainer<double> badVals6(quadBasis.getCardinality(), quadNodes.dimension(0) + 1);
189 INTREPID_TEST_COMMAND( quadBasis.getValues(badVals6, quadNodes, OPERATOR_DIV), throwCounter, nException );
190
191 // exception #16: incorrect 2nd dimension of output array (must equal the space dimension)
192 FieldContainer<double> badVals7(quadBasis.getCardinality(), quadNodes.dimension(0), spaceDim + 1);
193 INTREPID_TEST_COMMAND( quadBasis.getValues(badVals7, quadNodes, OPERATOR_VALUE), throwCounter, nException );
194#endif
195
196 }
197 catch (const std::logic_error & err) {
198 *outStream << "UNEXPECTED ERROR !!! ----------------------------------------------------------\n";
199 *outStream << err.what() << '\n';
200 *outStream << "-------------------------------------------------------------------------------" << "\n\n";
201 errorFlag = -1000;
202 };
203
204 // Check if number of thrown exceptions matches the one we expect
205 if (throwCounter != nException) {
206 errorFlag++;
207 *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
208 }
209
210 *outStream \
211 << "\n"
212 << "===============================================================================\n"\
213 << "| TEST 2: correctness of tag to enum and enum to tag lookups |\n"\
214 << "===============================================================================\n";
215
216 try{
217 std::vector<std::vector<int> > allTags = quadBasis.getAllDofTags();
218
219 // Loop over all tags, lookup the associated dof enumeration and then lookup the tag again
220 for (unsigned i = 0; i < allTags.size(); i++) {
221 int bfOrd = quadBasis.getDofOrdinal(allTags[i][0], allTags[i][1], allTags[i][2]);
222
223 std::vector<int> myTag = quadBasis.getDofTag(bfOrd);
224 if( !( (myTag[0] == allTags[i][0]) &&
225 (myTag[1] == allTags[i][1]) &&
226 (myTag[2] == allTags[i][2]) &&
227 (myTag[3] == allTags[i][3]) ) ) {
228 errorFlag++;
229 *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
230 *outStream << " getDofOrdinal( {"
231 << allTags[i][0] << ", "
232 << allTags[i][1] << ", "
233 << allTags[i][2] << ", "
234 << allTags[i][3] << "}) = " << bfOrd <<" but \n";
235 *outStream << " getDofTag(" << bfOrd << ") = { "
236 << myTag[0] << ", "
237 << myTag[1] << ", "
238 << myTag[2] << ", "
239 << myTag[3] << "}\n";
240 }
241 }
242
243 // Now do the same but loop over basis functions
244 for( int bfOrd = 0; bfOrd < quadBasis.getCardinality(); bfOrd++) {
245 std::vector<int> myTag = quadBasis.getDofTag(bfOrd);
246 int myBfOrd = quadBasis.getDofOrdinal(myTag[0], myTag[1], myTag[2]);
247 if( bfOrd != myBfOrd) {
248 errorFlag++;
249 *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
250 *outStream << " getDofTag(" << bfOrd << ") = { "
251 << myTag[0] << ", "
252 << myTag[1] << ", "
253 << myTag[2] << ", "
254 << myTag[3] << "} but getDofOrdinal({"
255 << myTag[0] << ", "
256 << myTag[1] << ", "
257 << myTag[2] << ", "
258 << myTag[3] << "} ) = " << myBfOrd << "\n";
259 }
260 }
261 }
262 catch (const std::logic_error & err){
263 *outStream << err.what() << "\n\n";
264 errorFlag = -1000;
265 };
266
267 *outStream \
268 << "\n"
269 << "===============================================================================\n"\
270 << "| TEST 3: correctness of basis function values |\n"\
271 << "===============================================================================\n";
272
273 outStream -> precision(20);
274
275 // VALUE: Each row pair gives the 6x3 correct basis set values at an evaluation point: (P,F,D) layout
276 double basisValues[] = {
277 0, -0.500000, 0, 0, 0, 0, -0.500000, 0, 0, -0.500000, 0.500000, 0, 0, \
278 0, 0, 0, 0, 0, 0.500000, 0, 0, 0.500000, 0, 0, 0, 0, 0, 0, 0, \
279 0.500000, -0.500000, 0, 0, -0.250000, 0.250000, 0, 0, 0.250000, \
280 -0.250000, 0, 0, -0.375000, 0.250000, 0, 0, 0.125000, -0.250000, 0, \
281 0, -0.125000, 0.250000, 0, 0, 0.375000, -0.250000, 0, 0, -0.250000, \
282 0.125000, 0, 0, 0.250000, -0.375000, 0, 0, -0.250000, 0.375000, 0, 0, \
283 0.250000, -0.125000, 0 };
284
285 // DIV: each row gives the 6 correct values of the divergence of the 6 basis functions: (P,F) layout
286 double basisDivs[] = {
287 0.25, 0.25, 0.25, 0.25,
288 0.25, 0.25, 0.25, 0.25,
289 0.25, 0.25, 0.25, 0.25,
290 0.25, 0.25, 0.25, 0.25,
291 0.25, 0.25, 0.25, 0.25,
292 0.25, 0.25, 0.25, 0.25,
293 0.25, 0.25, 0.25, 0.25,
294 0.25, 0.25, 0.25, 0.25,
295 0.25, 0.25, 0.25, 0.25,
296 };
297
298 try{
299
300 // Dimensions for the output arrays:
301 int numPoints = quadNodes.dimension(0);
302 int numFields = quadBasis.getCardinality();
303 int spaceDim = quadBasis.getBaseCellTopology().getDimension();
304
305 // Generic array for values and curls that will be properly sized before each call
306 FieldContainer<double> vals;
307
308 // Check VALUE of basis functions: resize vals to rank-3 container:
309 vals.resize(numFields, numPoints, spaceDim);
310 quadBasis.getValues(vals, quadNodes, OPERATOR_VALUE);
311 for (int i = 0; i < numFields; i++) {
312 for (int j = 0; j < numPoints; j++) {
313 for (int k = 0; k < spaceDim; k++) {
314
315 // compute offset for (P,F,D) data layout: indices are P->j, F->i, D->k
316 int l = k + i * spaceDim + j * spaceDim * numFields;
317 if (std::abs(vals(i,j,k) - basisValues[l]) > INTREPID_TOL) {
318 errorFlag++;
319 *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
320
321 // Output the multi-index of the value where the error is:
322 *outStream << " At multi-index { ";
323 *outStream << i << " ";*outStream << j << " ";*outStream << k << " ";
324 *outStream << "} computed value: " << vals(i,j,k)
325 << " but reference value: " << basisValues[l] << "\n";
326 }
327 }
328 }
329 }
330
331 // Check DIV of basis function: resize vals to rank-2 container
332 vals.resize(numFields, numPoints);
333 quadBasis.getValues(vals, quadNodes, OPERATOR_DIV);
334 for (int i = 0; i < numFields; i++) {
335 for (int j = 0; j < numPoints; j++) {
336 int l = i + j * numFields;
337 if (std::abs(vals(i,j) - basisDivs[l]) > INTREPID_TOL) {
338 errorFlag++;
339 *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
340
341 // Output the multi-index of the value where the error is:
342 *outStream << " At multi-index { ";
343 *outStream << i << " ";*outStream << j << " ";
344 *outStream << "} computed divergence component: " << vals(i,j)
345 << " but reference divergence component: " << basisDivs[l] << "\n";
346 }
347 }
348 }
349
350 }
351
352 // Catch unexpected errors
353 catch (const std::logic_error & err) {
354 *outStream << err.what() << "\n\n";
355 errorFlag = -1000;
356 };
357
358 if (errorFlag != 0)
359 std::cout << "End Result: TEST FAILED\n";
360 else
361 std::cout << "End Result: TEST PASSED\n";
362
363 // reset format state of std::cout
364 std::cout.copyfmt(oldFormatState);
365
366 return errorFlag;
367}
Header file for utility class to provide multidimensional containers.
Header file for the Intrepid::HDIV_QUAD_I1_FEM class.