Intrepid
test_01.cpp
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44 
50 #include "Intrepid_FieldContainer.hpp"
51 #include "Teuchos_oblackholestream.hpp"
52 #include "Teuchos_RCP.hpp"
53 #include "Teuchos_GlobalMPISession.hpp"
54 #include "Intrepid_PointTools.hpp"
55 #include "Intrepid_HDIV_TRI_In_FEM.hpp"
56 #include "Shards_CellTopology.hpp"
57 
58 #include <iostream>
59 using namespace Intrepid;
60 
65 int main(int argc, char *argv[]) {
66 
67  Teuchos::GlobalMPISession mpiSession(&argc, &argv);
68 
69  // This little trick lets us print to std::cout only if a (dummy) command-line argument is provided.
70  int iprint = argc - 1;
71 
72  Teuchos::RCP<std::ostream> outStream;
73  Teuchos::oblackholestream bhs; // outputs nothing
74 
75  if (iprint > 0)
76  outStream = Teuchos::rcp(&std::cout, false);
77  else
78  outStream = Teuchos::rcp(&bhs, false);
79 
80  // Save the format state of the original std::cout.
81  Teuchos::oblackholestream oldFormatState;
82  oldFormatState.copyfmt(std::cout);
83 
84  *outStream \
85  << "===============================================================================\n" \
86  << "| |\n" \
87  << "| Unit Test HDIV_TRI_In_FEM |\n" \
88  << "| |\n" \
89  << "| 1) Tests triangular Raviart-Thomas basis |\n" \
90  << "| |\n" \
91  << "| Questions? Contact Pavel Bochev (pbboche@sandia.gov) or |\n" \
92  << "| Denis Ridzal (dridzal@sandia.gov) or |\n" \
93  << "| Robert Kirby (robert.c.kirby@ttu.edu) |\n" \
94  << "| |\n" \
95  << "| Intrepid's website: http://trilinos.sandia.gov/packages/intrepid |\n" \
96  << "| Trilinos website: http://trilinos.sandia.gov |\n" \
97  << "| |\n" \
98  << "===============================================================================\n";
99 
100  int errorFlag = 0;
101 
102  // test for basis values, compare against fiat
103  try {
104  const int deg = 2;
105  Basis_HDIV_TRI_In_FEM<double,FieldContainer<double> > myBasis( deg , POINTTYPE_EQUISPACED );
106 
107  // Get a lattice
108  const int np_lattice = PointTools::getLatticeSize( myBasis.getBaseCellTopology() , deg , 0 );
109  FieldContainer<double> lattice( np_lattice , 2 );
110  FieldContainer<double> myBasisValues( myBasis.getCardinality() , np_lattice , 2 );
111  PointTools::getLattice<double,FieldContainer<double> >( lattice ,
112  myBasis.getBaseCellTopology() ,
113  deg ,
114  0 ,
115  POINTTYPE_EQUISPACED );
116 
117  myBasis.getValues( myBasisValues , lattice , OPERATOR_VALUE );
118 
119  const double fiat_vals[] = {
120  0.000000000000000e+00, -2.000000000000000e+00,
121  2.500000000000000e-01, -5.000000000000000e-01,
122  -1.000000000000000e+00, 1.000000000000000e+00,
123  0.000000000000000e+00, -2.500000000000000e-01,
124  -5.000000000000000e-01, 5.000000000000000e-01,
125  0.000000000000000e+00, 0.000000000000000e+00,
126  0.000000000000000e+00, 1.000000000000000e+00,
127  2.500000000000000e-01, -5.000000000000000e-01,
128  2.000000000000000e+00, -2.000000000000000e+00,
129  0.000000000000000e+00, 5.000000000000000e-01,
130  2.500000000000000e-01, -2.500000000000000e-01,
131  0.000000000000000e+00, 0.000000000000000e+00,
132  0.000000000000000e+00, 0.000000000000000e+00,
133  2.500000000000000e-01, 0.000000000000000e+00,
134  2.000000000000000e+00, 0.000000000000000e+00,
135  0.000000000000000e+00, -5.000000000000000e-01,
136  2.500000000000000e-01, 2.500000000000000e-01,
137  0.000000000000000e+00, -1.000000000000000e+00,
138  0.000000000000000e+00, 0.000000000000000e+00,
139  -5.000000000000000e-01, 0.000000000000000e+00,
140  -1.000000000000000e+00, 0.000000000000000e+00,
141  0.000000000000000e+00, 2.500000000000000e-01,
142  2.500000000000000e-01, 2.500000000000000e-01,
143  0.000000000000000e+00, 2.000000000000000e+00,
144  1.000000000000000e+00, 0.000000000000000e+00,
145  5.000000000000000e-01, 0.000000000000000e+00,
146  0.000000000000000e+00, 0.000000000000000e+00,
147  -5.000000000000000e-01, 2.500000000000000e-01,
148  -2.500000000000000e-01, 2.500000000000000e-01,
149  -2.000000000000000e+00, 2.000000000000000e+00,
150  -2.000000000000000e+00, 0.000000000000000e+00,
151  -2.500000000000000e-01, 0.000000000000000e+00,
152  0.000000000000000e+00, 0.000000000000000e+00,
153  -5.000000000000000e-01, 2.500000000000000e-01,
154  5.000000000000000e-01, -5.000000000000000e-01,
155  1.000000000000000e+00, -1.000000000000000e+00,
156  0.000000000000000e+00, 0.000000000000000e+00,
157  1.500000000000000e+00, 0.000000000000000e+00,
158  0.000000000000000e+00, 0.000000000000000e+00,
159  0.000000000000000e+00, 7.500000000000000e-01,
160  7.500000000000000e-01, -7.500000000000000e-01,
161  0.000000000000000e+00, 0.000000000000000e+00,
162  0.000000000000000e+00, 0.000000000000000e+00,
163  7.500000000000000e-01, 0.000000000000000e+00,
164  0.000000000000000e+00, 0.000000000000000e+00,
165  0.000000000000000e+00, 1.500000000000000e+00,
166  -7.500000000000000e-01, 7.500000000000000e-01,
167  0.000000000000000e+00, 0.000000000000000e+00
168  };
169 
170  int cur=0;
171  for (int i=0;i<myBasisValues.dimension(0);i++) {
172  for (int j=0;j<myBasisValues.dimension(1);j++) {
173  for (int k=0;k<myBasisValues.dimension(2);k++) {
174  if (std::abs( myBasisValues(i,j,k) - fiat_vals[cur] ) > INTREPID_TOL ) {
175  errorFlag++;
176  *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
177 
178  // Output the multi-index of the value where the error is:
179  *outStream << " At multi-index { ";
180  *outStream << i << " " << j << " " << k;
181  *outStream << "} computed value: " << myBasisValues(i,j,k)
182  << " but correct value: " << fiat_vals[cur] << "\n";
183  *outStream << "Difference: " << std::abs( myBasisValues(i,j,k) - fiat_vals[cur] ) << "\n";
184  }
185  cur++;
186  }
187  }
188  }
189  }
190  catch (const std::exception & err) {
191  *outStream << err.what() << "\n\n";
192  errorFlag = -1000;
193  }
194  try {
195  const int deg = 2;
196  Basis_HDIV_TRI_In_FEM<double,FieldContainer<double> > myBasis( deg , POINTTYPE_EQUISPACED );
197 
198  // Get a lattice
199  const int np_lattice = PointTools::getLatticeSize( myBasis.getBaseCellTopology() , deg , 0 );
200  FieldContainer<double> lattice( np_lattice , 2 );
201  FieldContainer<double> myBasisDivs( myBasis.getCardinality() , np_lattice );
202  PointTools::getLattice<double,FieldContainer<double> >( lattice ,
203  myBasis.getBaseCellTopology() ,
204  deg ,
205  0 ,
206  POINTTYPE_EQUISPACED );
207 
208  myBasis.getValues( myBasisDivs , lattice , OPERATOR_DIV );
209 
210 
211  const double fiat_divs[] = {
212  7.000000000000000e+00,
213  2.500000000000000e+00,
214  -2.000000000000000e+00,
215  2.500000000000000e+00,
216  -2.000000000000000e+00,
217  -2.000000000000000e+00,
218  -2.000000000000000e+00,
219  2.500000000000000e+00,
220  7.000000000000000e+00,
221  -2.000000000000000e+00,
222  2.500000000000000e+00,
223  -2.000000000000000e+00,
224  -2.000000000000000e+00,
225  2.500000000000000e+00,
226  7.000000000000000e+00,
227  -2.000000000000000e+00,
228  2.500000000000000e+00,
229  -2.000000000000000e+00,
230  -2.000000000000000e+00,
231  -2.000000000000000e+00,
232  -2.000000000000000e+00,
233  2.500000000000000e+00,
234  2.500000000000000e+00,
235  7.000000000000000e+00,
236  -2.000000000000000e+00,
237  -2.000000000000000e+00,
238  -2.000000000000000e+00,
239  2.500000000000000e+00,
240  2.500000000000000e+00,
241  7.000000000000000e+00,
242  7.000000000000000e+00,
243  2.500000000000000e+00,
244  -2.000000000000000e+00,
245  2.500000000000000e+00,
246  -2.000000000000000e+00,
247  -2.000000000000000e+00,
248  9.000000000000000e+00,
249  0.000000000000000e+00,
250  -9.000000000000000e+00,
251  4.500000000000000e+00,
252  -4.500000000000000e+00,
253  0.000000000000000e+00,
254  9.000000000000000e+00,
255  4.500000000000000e+00,
256  0.000000000000000e+00,
257  0.000000000000000e+00,
258  -4.500000000000000e+00,
259  -9.000000000000000e+00
260  };
261 
262  int cur=0;
263  for (int i=0;i<myBasisDivs.dimension(0);i++) {
264  for (int j=0;j<myBasisDivs.dimension(1);j++) {
265  if (std::abs( myBasisDivs(i,j) - fiat_divs[cur] ) > INTREPID_TOL ) {
266  errorFlag++;
267  *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
268 
269  // Output the multi-index of the value where the error is:
270  *outStream << " At multi-index { ";
271  *outStream << i << " " << j;
272  *outStream << "} computed value: " << myBasisDivs(i,j)
273  << " but correct value: " << fiat_divs[cur] << "\n";
274  *outStream << "Difference: " << std::abs( myBasisDivs(i,j) - fiat_divs[cur] ) << "\n";
275  }
276  cur++;
277  }
278  }
279  }
280  catch (const std::exception & err) {
281  *outStream << err.what() << "\n\n";
282  errorFlag = -1000;
283  }
284 
285 
286  if (errorFlag != 0)
287  std::cout << "End Result: TEST FAILED\n";
288  else
289  std::cout << "End Result: TEST PASSED\n";
290 
291  // reset format state of std::cout
292  std::cout.copyfmt(oldFormatState);
293 
294  return errorFlag;
295 }
Intrepid::Basis::getCardinality
virtual int getCardinality() const
Returns cardinality of the basis.
Definition: Intrepid_BasisDef.hpp:100
Intrepid_PointTools.hpp
Header file for utility class to provide point tools, such as barycentric coordinates, equispaced lattices, and warp-blend point distrubtions.
Intrepid::Basis_HDIV_TRI_In_FEM::getValues
void getValues(ArrayScalar &outputValues, const ArrayScalar &inputPoints, const EOperator operatorType) const
Evaluation of a FEM basis on a reference Triangle cell.
Definition: Intrepid_HDIV_TRI_In_FEMDef.hpp:285
Intrepid_HDIV_TRI_In_FEM.hpp
Header file for the Intrepid::HDIV_TRI_In_FEM class.
Intrepid_FieldContainer.hpp
Header file for utility class to provide multidimensional containers.
Intrepid::Basis_HDIV_TRI_In_FEM
Implementation of the default H(div)-compatible Raviart-Thomas basis of arbitrary degree on Triangle ...
Definition: Intrepid_HDIV_TRI_In_FEM.hpp:93
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::PointTools::getLatticeSize
static int getLatticeSize(const shards::CellTopology &cellType, const int order, const int offset=0)
Computes the number of points in a lattice of a given order on a simplex (currently disabled for othe...
Definition: Intrepid_PointTools.hpp:214
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