libMesh
dof_object_test.h
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1 #ifndef __dof_object_test_h__
2 #define __dof_object_test_h__
3 
4 #include "libmesh_cppunit.h"
5 
6 #define DOFOBJECTTEST \
7  CPPUNIT_TEST( testSetId ); \
8  CPPUNIT_TEST( testValidId ); \
9  CPPUNIT_TEST( testInvalidateId ); \
10  CPPUNIT_TEST( testSetProcId ); \
11  CPPUNIT_TEST( testValidProcId ); \
12  CPPUNIT_TEST( testInvalidateProcId ); \
13  CPPUNIT_TEST( testSetNSystems ); \
14  CPPUNIT_TEST( testSetNVariableGroups ); \
15  CPPUNIT_TEST( testAddExtraData ); \
16  CPPUNIT_TEST( testAddSystemExtraInts ); \
17  CPPUNIT_TEST( testSetNSystemsExtraInts ); \
18  CPPUNIT_TEST( testSetNVariableGroupsExtraInts ); \
19  CPPUNIT_TEST( testManualDofCalculation ); \
20  CPPUNIT_TEST( testJensEftangBug );
21 
22 using namespace libMesh;
23 
24 template <class DerivedClass>
25 class DofObjectTest {
26 
27 private:
28  DerivedClass * instance;
29 
30 protected:
31  std::string libmesh_suite_name;
32 
33 public:
34  void setUp(DerivedClass * derived_instance)
35  {
36  instance=derived_instance;
37  }
38 
39  void testSetId()
40  {
41  LOG_UNIT_TEST;
42 
43  DofObject & aobject(*instance);
44 
45  aobject.set_id(1);
46  CPPUNIT_ASSERT_EQUAL( static_cast<dof_id_type>(1) , aobject.id() );
47  }
48 
49  void testValidId()
50  {
51  LOG_UNIT_TEST;
52 
53  DofObject & aobject(*instance);
54 
55  aobject.set_id(1);
56  CPPUNIT_ASSERT( aobject.valid_id() );
57 
58  aobject.set_id(DofObject::invalid_id);
59  CPPUNIT_ASSERT( !aobject.valid_id() );
60  }
61 
62  void testInvalidateId()
63  {
64  LOG_UNIT_TEST;
65 
66  DofObject & aobject(*instance);
67 
68  aobject.set_id(1);
69  aobject.invalidate_id();
70 
71  CPPUNIT_ASSERT( !aobject.valid_id() );
72  }
73 
74  void testSetProcId()
75  {
76  LOG_UNIT_TEST;
77 
78  DofObject & aobject(*instance);
79 
80  aobject.processor_id(libMesh::global_processor_id());
81  CPPUNIT_ASSERT_EQUAL(static_cast<processor_id_type>(libMesh::global_processor_id()), aobject.processor_id());
82  }
83 
84  void testValidProcId()
85  {
86  LOG_UNIT_TEST;
87 
88  DofObject & aobject(*instance);
89 
90  aobject.processor_id(libMesh::global_processor_id());
91  CPPUNIT_ASSERT(aobject.valid_processor_id());
92 
93  aobject.processor_id(DofObject::invalid_processor_id);
94  CPPUNIT_ASSERT(!aobject.valid_processor_id());
95  }
96 
97  void testInvalidateProcId()
98  {
99  LOG_UNIT_TEST;
100 
101  DofObject & aobject(*instance);
102 
103  aobject.processor_id(libMesh::global_processor_id());
104  aobject.invalidate_processor_id();
105 
106  CPPUNIT_ASSERT( !aobject.valid_processor_id() );
107  }
108 
109  void testSetNSystems()
110  {
111  LOG_UNIT_TEST;
112 
113  DofObject & aobject(*instance);
114 
115  aobject.set_n_systems (10);
116 
117  CPPUNIT_ASSERT_EQUAL(static_cast<unsigned int>(10), aobject.n_systems());
118  }
119 
120  void testSetNVariableGroups()
121  {
122  LOG_UNIT_TEST;
123 
124  DofObject & aobject(*instance);
125 
126  aobject.set_n_systems (2);
127 
128  std::vector<unsigned int> nvpg;
129 
130  nvpg.push_back(10);
131  nvpg.push_back(20);
132  nvpg.push_back(30);
133 
134  aobject.set_n_vars_per_group (0, nvpg);
135  aobject.set_n_vars_per_group (1, nvpg);
136 
137  for (unsigned int s=0; s<2; s++)
138  {
139  CPPUNIT_ASSERT_EQUAL(static_cast<unsigned int>(60), aobject.n_vars(s));
140  CPPUNIT_ASSERT_EQUAL(static_cast<unsigned int>(3), aobject.n_var_groups(s));
141 
142  for (unsigned int vg=0; vg<3; vg++)
143  CPPUNIT_ASSERT_EQUAL( nvpg[vg], aobject.n_vars(s,vg) );
144  }
145  }
146 
147  void testAddExtraData()
148  {
149  LOG_UNIT_TEST;
150 
151  DofObject & aobject(*instance);
152 
153  aobject.add_extra_integers (9);
154 
155  CPPUNIT_ASSERT(aobject.has_extra_integers());
156 
157  CPPUNIT_ASSERT_EQUAL(static_cast<unsigned int>(9), aobject.n_extra_integers());
158 
159  unsigned int ints_per_Real = (sizeof(Real)-1)/sizeof(dof_id_type) + 1;
160 
161  for (unsigned int i=0; i != 9; ++i)
162  CPPUNIT_ASSERT_EQUAL( DofObject::invalid_id, aobject.get_extra_integer(i) );
163 
164  for (unsigned int i=0; i != 9; ++i)
165  {
166  // Try out a char at i=1
167  if (i == 1)
168  aobject.set_extra_datum<char>(i, '1');
169  // Try out an extra Real at i=2 if we'll have room
170  if (i == 2 && ints_per_Real <= 4)
171  aobject.set_extra_datum<Real>(i, pi);
172  if (i < 1 || i >= (2 + ints_per_Real))
173  {
174  aobject.set_extra_integer(i, i);
175  CPPUNIT_ASSERT_EQUAL( static_cast<dof_id_type>(i), aobject.get_extra_integer(i) );
176  }
177  }
178 
179  aobject.add_extra_integers (6);
180 
181  CPPUNIT_ASSERT(aobject.has_extra_integers());
182 
183  CPPUNIT_ASSERT_EQUAL(static_cast<unsigned int>(6), aobject.n_extra_integers());
184 
185  for (unsigned int i=0; i != 6; ++i)
186  {
187  if (i == 1)
188  CPPUNIT_ASSERT_EQUAL(aobject.get_extra_datum<char>(i), '1');
189  if (i == 2 && ints_per_Real <= 4)
190  CPPUNIT_ASSERT_EQUAL(aobject.get_extra_datum<Real>(i), pi);
191  if (i < 1 || i >= (2 + ints_per_Real))
192  CPPUNIT_ASSERT_EQUAL( static_cast<dof_id_type>(i), aobject.get_extra_integer(i) );
193  }
194  }
195 
196  void testAddSystemExtraInts()
197  {
198  LOG_UNIT_TEST;
199 
200  DofObject & aobject(*instance);
201 
202  aobject.add_extra_integers (1);
203 
204  aobject.add_system();
205 
206  CPPUNIT_ASSERT(aobject.has_extra_integers());
207 
208  CPPUNIT_ASSERT_EQUAL(static_cast<unsigned int>(1), aobject.n_extra_integers());
209  CPPUNIT_ASSERT_EQUAL(static_cast<unsigned int>(1), aobject.n_systems());
210  CPPUNIT_ASSERT_EQUAL(static_cast<unsigned int>(0), aobject.n_vars(0));
211 
212  aobject.add_extra_integers (4);
213 
214  aobject.add_system();
215 
216  CPPUNIT_ASSERT(aobject.has_extra_integers());
217 
218  CPPUNIT_ASSERT_EQUAL(static_cast<unsigned int>(4), aobject.n_extra_integers());
219  CPPUNIT_ASSERT_EQUAL(static_cast<unsigned int>(2), aobject.n_systems());
220  CPPUNIT_ASSERT_EQUAL(static_cast<unsigned int>(0), aobject.n_vars(0));
221  CPPUNIT_ASSERT_EQUAL(static_cast<unsigned int>(0), aobject.n_vars(1));
222 
223  for (unsigned int i=0; i != 4; ++i)
224  {
225  CPPUNIT_ASSERT_EQUAL( DofObject::invalid_id, aobject.get_extra_integer(i) );
226  aobject.set_extra_integer(i, i);
227  CPPUNIT_ASSERT_EQUAL(static_cast<dof_id_type>(i), aobject.get_extra_integer(i));
228  }
229 
230  aobject.add_extra_integers (7);
231 
232  for (unsigned int i=0; i != 4; ++i)
233  CPPUNIT_ASSERT_EQUAL(static_cast<dof_id_type>(i), aobject.get_extra_integer(i));
234 
235  for (unsigned int i=4; i != 7; ++i)
236  CPPUNIT_ASSERT_EQUAL( DofObject::invalid_id, aobject.get_extra_integer(i) );
237 
238  aobject.add_system();
239 
240  CPPUNIT_ASSERT_EQUAL(static_cast<unsigned int>(7), aobject.n_extra_integers());
241 
242  for (unsigned int i=0; i != 4; ++i)
243  CPPUNIT_ASSERT_EQUAL(static_cast<dof_id_type>(i), aobject.get_extra_integer(i));
244 
245  for (unsigned int i=4; i != 7; ++i)
246  {
247  CPPUNIT_ASSERT_EQUAL( DofObject::invalid_id, aobject.get_extra_integer(i) );
248  aobject.set_extra_integer(i, i);
249  CPPUNIT_ASSERT_EQUAL(static_cast<dof_id_type>(i), aobject.get_extra_integer(i));
250  }
251 
252  CPPUNIT_ASSERT_EQUAL(static_cast<unsigned int>(3), aobject.n_systems());
253  CPPUNIT_ASSERT_EQUAL(static_cast<unsigned int>(0), aobject.n_vars(0));
254  CPPUNIT_ASSERT_EQUAL(static_cast<unsigned int>(0), aobject.n_vars(1));
255  CPPUNIT_ASSERT_EQUAL(static_cast<unsigned int>(0), aobject.n_vars(2));
256 
257  for (unsigned int i=0; i != 7; ++i)
258  CPPUNIT_ASSERT_EQUAL(static_cast<dof_id_type>(i), aobject.get_extra_integer(i));
259  }
260 
261  void testSetNSystemsExtraInts()
262  {
263  LOG_UNIT_TEST;
264 
265  DofObject & aobject(*instance);
266 
267  aobject.add_extra_integers (5);
268 
269  aobject.set_n_systems (10);
270 
271  CPPUNIT_ASSERT(aobject.has_extra_integers());
272 
273  CPPUNIT_ASSERT_EQUAL(static_cast<unsigned int>(5), aobject.n_extra_integers());
274  CPPUNIT_ASSERT_EQUAL(static_cast<unsigned int>(10), aobject.n_systems());
275 
276  for (unsigned int i=0; i != 5; ++i)
277  {
278  CPPUNIT_ASSERT_EQUAL( DofObject::invalid_id, aobject.get_extra_integer(i) );
279  aobject.set_extra_integer(i, i);
280  CPPUNIT_ASSERT_EQUAL(static_cast<dof_id_type>(i), aobject.get_extra_integer(i));
281  }
282 
283  aobject.add_extra_integers (9);
284 
285  for (unsigned int i=0; i != 5; ++i)
286  CPPUNIT_ASSERT_EQUAL(static_cast<dof_id_type>(i), aobject.get_extra_integer(i));
287 
288  for (unsigned int i=5; i != 9; ++i)
289  CPPUNIT_ASSERT_EQUAL( DofObject::invalid_id, aobject.get_extra_integer(i) );
290 
291  aobject.set_n_systems (6);
292 
293  CPPUNIT_ASSERT_EQUAL(static_cast<unsigned int>(9), aobject.n_extra_integers());
294 
295  for (unsigned int i=0; i != 5; ++i)
296  CPPUNIT_ASSERT_EQUAL(static_cast<dof_id_type>(i), aobject.get_extra_integer(i));
297 
298  for (unsigned int i=5; i != 9; ++i)
299  {
300  CPPUNIT_ASSERT_EQUAL( DofObject::invalid_id, aobject.get_extra_integer(i) );
301  aobject.set_extra_integer(i, i);
302  CPPUNIT_ASSERT_EQUAL(static_cast<dof_id_type>(i), aobject.get_extra_integer(i));
303  }
304 
305  CPPUNIT_ASSERT_EQUAL(static_cast<unsigned int>(6), aobject.n_systems());
306 
307  for (unsigned int i=0; i != 9; ++i)
308  CPPUNIT_ASSERT_EQUAL(static_cast<dof_id_type>(i), aobject.get_extra_integer(i));
309  }
310 
311  void testSetNVariableGroupsExtraInts()
312  {
313  LOG_UNIT_TEST;
314 
315  DofObject & aobject(*instance);
316 
317  aobject.set_n_systems (2);
318 
319  aobject.add_extra_integers (5);
320 
321  for (unsigned int i=0; i != 5; ++i)
322  {
323  CPPUNIT_ASSERT_EQUAL( DofObject::invalid_id, aobject.get_extra_integer(i) );
324  aobject.set_extra_integer(i, i);
325  CPPUNIT_ASSERT_EQUAL(static_cast<dof_id_type>(i), aobject.get_extra_integer(i));
326  }
327 
328  std::vector<unsigned int> nvpg;
329 
330  nvpg.push_back(10);
331  nvpg.push_back(20);
332  nvpg.push_back(30);
333 
334  aobject.set_n_vars_per_group (0, nvpg);
335  aobject.set_n_vars_per_group (1, nvpg);
336 
337  for (unsigned int s=0; s<2; s++)
338  {
339  CPPUNIT_ASSERT_EQUAL(static_cast<unsigned int>(60), aobject.n_vars(s));
340  CPPUNIT_ASSERT_EQUAL(static_cast<unsigned int>(3), aobject.n_var_groups(s));
341 
342  for (unsigned int vg=0; vg<3; vg++)
343  CPPUNIT_ASSERT_EQUAL( nvpg[vg], aobject.n_vars(s,vg) );
344  }
345 
346  CPPUNIT_ASSERT_EQUAL(static_cast<unsigned int>(5), aobject.n_extra_integers());
347 
348  for (unsigned int i=0; i != 5; ++i)
349  CPPUNIT_ASSERT_EQUAL(static_cast<dof_id_type>(i), aobject.get_extra_integer(i));
350  }
351 
352 
353  void testManualDofCalculation()
354  {
355  LOG_UNIT_TEST;
356 
357  DofObject & aobject(*instance);
358 
359  aobject.set_n_systems (2);
360 
361  std::vector<unsigned int> nvpg;
362 
363  nvpg.push_back(2);
364  nvpg.push_back(3);
365 
366  aobject.set_n_vars_per_group (0, nvpg);
367  aobject.set_n_vars_per_group (1, nvpg);
368 
369  aobject.set_n_comp_group (0, 0, 1);
370  aobject.set_n_comp_group (0, 1, 3);
371 
372  aobject.set_n_comp_group (1, 0, 2);
373  aobject.set_n_comp_group (1, 1, 1);
374 
375  aobject.set_vg_dof_base(0, 0, 0);
376  aobject.set_vg_dof_base(0, 1, 120);
377 
378  aobject.set_vg_dof_base(1, 0, 20);
379  aobject.set_vg_dof_base(1, 1, 220);
380 
381  // Make sure the first dof is sane
382  CPPUNIT_ASSERT_EQUAL(static_cast<dof_id_type>(0), aobject.dof_number(0, 0, 0));
383 
384  // Check that we can manually index dofs of variables based on the first dof in a variable group
385  // Using: id = base + var_in_vg*ncomp + comp
386  CPPUNIT_ASSERT_EQUAL(static_cast<dof_id_type>(aobject.vg_dof_base(0, 0) + 1*1 + 0), aobject.dof_number(0, 1, 0));
387 
388  // Another Check that we can manually index dofs of variables based on the first dof in a variable group
389  // Using: id = base + var_in_vg*ncomp + comp
390  CPPUNIT_ASSERT_EQUAL(static_cast<dof_id_type>(aobject.vg_dof_base(0, 1) + 2*3 + 2), aobject.dof_number(0, 4, 2));
391 
392  // One More Check that we can manually index dofs of variables based on the first dof in a variable group
393  // Using: id = base + var_in_vg*ncomp + comp
394  CPPUNIT_ASSERT_EQUAL(static_cast<dof_id_type>(aobject.vg_dof_base(1, 1) + 0*3 + 0), aobject.dof_number(1, 2, 0));
395  }
396 
397  void testJensEftangBug()
398  {
399  LOG_UNIT_TEST;
400 
401  // For more information on this bug, see the following email thread:
402  // https://sourceforge.net/p/libmesh/mailman/libmesh-users/thread/[email protected]/
403  DofObject & aobject(*instance);
404  dof_id_type buf0[] = {2, 8, 257, 0, 257, 96, 257, 192, 257, 0};
405  aobject.set_buffer(std::vector<dof_id_type>(buf0, buf0+10));
406 
407  CPPUNIT_ASSERT_EQUAL (aobject.dof_number(0,0,0), static_cast<dof_id_type>( 0));
408  CPPUNIT_ASSERT_EQUAL (aobject.dof_number(0,1,0), static_cast<dof_id_type>( 96));
409  CPPUNIT_ASSERT_EQUAL (aobject.dof_number(0,2,0), static_cast<dof_id_type>(192));
410  CPPUNIT_ASSERT_EQUAL (aobject.dof_number(1,0,0), static_cast<dof_id_type>( 0));
411 
412  dof_id_type buf1[] = {2, 8, 257, 1, 257, 97, 257, 193, 257, 1};
413  aobject.set_buffer(std::vector<dof_id_type>(buf1, buf1+10));
414 
415  CPPUNIT_ASSERT_EQUAL (aobject.dof_number(0,0,0), static_cast<dof_id_type>( 1));
416  CPPUNIT_ASSERT_EQUAL (aobject.dof_number(0,1,0), static_cast<dof_id_type>( 97));
417  CPPUNIT_ASSERT_EQUAL (aobject.dof_number(0,2,0), static_cast<dof_id_type>(193));
418  CPPUNIT_ASSERT_EQUAL (aobject.dof_number(1,0,0), static_cast<dof_id_type>( 1));
419  }
420 };
421 
422 #endif // #ifdef __dof_object_test_h__
DofObjectTest::libmesh_suite_name
std::string libmesh_suite_name
Definition: dof_object_test.h:31
libMesh::DofObject::vg_dof_base
dof_id_type vg_dof_base(const unsigned int s, const unsigned int vg) const
VariableGroup DoF indices are indexed as id = base + var_in_vg*ncomp + comp This method allows for di...
Definition: dof_object.h:1317
libMesh::DofObject::dof_number
dof_id_type dof_number(const unsigned int s, const unsigned int var, const unsigned int comp) const
Definition: dof_object.h:1032
DofObjectTest::testInvalidateProcId
void testInvalidateProcId()
Definition: dof_object_test.h:97
libMesh::DofObject::n_var_groups
unsigned int n_var_groups(const unsigned int s) const
Definition: dof_object.h:957
DofObjectTest::testAddExtraData
void testAddExtraData()
Definition: dof_object_test.h:147
DofObjectTest::testSetNVariableGroups
void testSetNVariableGroups()
Definition: dof_object_test.h:120
DofObjectTest::testInvalidateId
void testInvalidateId()
Definition: dof_object_test.h:62
libMesh::DofObject::set_vg_dof_base
void set_vg_dof_base(const unsigned int s, const unsigned int vg, const dof_id_type db)
VariableGroup DoF indices are indexed as id = base + var_in_vg*ncomp + comp This method allows for di...
Definition: dof_object.h:1297
libMesh
The libMesh namespace provides an interface to certain functionality in the library.
DofObjectTest::testJensEftangBug
void testJensEftangBug()
Definition: dof_object_test.h:397
libMesh::DofObject::set_id
dof_id_type & set_id()
Definition: dof_object.h:836
libMesh::DofObject::add_system
void add_system()
Adds an additional system to the DofObject.
Definition: dof_object.C:195
libMesh::DofObject::set_buffer
void set_buffer(const std::vector< dof_id_type > &buf)
Definition: dof_object.h:717
libMesh::DofObject::id
dof_id_type id() const
Definition: dof_object.h:828
DofObjectTest::testSetNVariableGroupsExtraInts
void testSetNVariableGroupsExtraInts()
Definition: dof_object_test.h:311
libMesh::DofObject::invalid_processor_id
static const processor_id_type invalid_processor_id
An invalid processor_id to distinguish DoFs that have not been assigned to a processor.
Definition: dof_object.h:493
libMesh::DofObject::n_vars
unsigned int n_vars(const unsigned int s, const unsigned int vg) const
Definition: dof_object.h:967
DofObjectTest::testSetProcId
void testSetProcId()
Definition: dof_object_test.h:74
libMesh::DofObject::n_systems
unsigned int n_systems() const
Definition: dof_object.h:937
libMesh::DofObject::valid_processor_id
bool valid_processor_id() const
Definition: dof_object.h:929
DofObjectTest::testAddSystemExtraInts
void testAddSystemExtraInts()
Definition: dof_object_test.h:196
libMesh::DofObject::invalidate_id
void invalidate_id()
Sets the id to invalid_id.
Definition: dof_object.h:772
libMesh::DofObject::invalid_id
static const dof_id_type invalid_id
An invalid id to distinguish an uninitialized DofObject.
Definition: dof_object.h:482
libMesh::DofObject::set_extra_datum
void set_extra_datum(const unsigned int index, const T value)
Sets the value on this object of the extra datum associated with index, which should have been obtain...
Definition: dof_object.h:1126
libMesh::DofObject::has_extra_integers
bool has_extra_integers() const
Returns whether extra integers are associated to the DofObject.
Definition: dof_object.h:1188
libMesh::DofObject::invalidate_processor_id
void invalidate_processor_id()
Sets the processor id to invalid_processor_id.
Definition: dof_object.h:780
libMesh::DofObject::set_n_comp_group
void set_n_comp_group(const unsigned int s, const unsigned int vg, const unsigned int ncomp)
Sets the number of components for VariableGroup vg of system s associated with this DofObject...
Definition: dof_object.C:397
libMesh::DofObject::set_n_systems
void set_n_systems(const unsigned int s)
Sets the number of systems for this DofObject.
Definition: dof_object.C:150
libMesh::DofObject::set_n_vars_per_group
void set_n_vars_per_group(const unsigned int s, const std::vector< unsigned int > &nvpg)
Sets number of variables in each group associated with system s for this DofObject.
Definition: dof_object.C:247
libMesh::Real
DIE A HORRIBLE DEATH HERE typedef LIBMESH_DEFAULT_SCALAR_TYPE Real
Definition: libmesh_common.h:144
libMesh::DofObject::valid_id
bool valid_id() const
Definition: dof_object.h:885
libMesh::global_processor_id
processor_id_type global_processor_id()
Definition: libmesh_base.h:85
DofObjectTest::testManualDofCalculation
void testManualDofCalculation()
Definition: dof_object_test.h:353
libMesh::DofObject
The DofObject defines an abstract base class for objects that have degrees of freedom associated with...
Definition: dof_object.h:54
libMesh::DofObject::add_extra_integers
void add_extra_integers(const unsigned int n_integers)
Assigns a set of extra integers to this DofObject.
Definition: dof_object.C:490
libMesh::DofObject::n_extra_integers
unsigned int n_extra_integers() const
Returns how many extra integers are associated to the DofObject.
Definition: dof_object.h:1170
libMesh::DofObject::get_extra_datum
T get_extra_datum(const unsigned int index) const
Gets the value on this object of the extra datum associated with index, which should have been obtain...
Definition: dof_object.h:1146
DofObjectTest::instance
DerivedClass * instance
Definition: dof_object_test.h:28
DofObjectTest::testValidProcId
void testValidProcId()
Definition: dof_object_test.h:84
DofObjectTest::testSetNSystems
void testSetNSystems()
Definition: dof_object_test.h:109
libMesh::DofObject::processor_id
processor_id_type processor_id() const
Definition: dof_object.h:905
DofObjectTest::setUp
void setUp(DerivedClass *derived_instance)
Definition: dof_object_test.h:34
DofObjectTest::testSetNSystemsExtraInts
void testSetNSystemsExtraInts()
Definition: dof_object_test.h:261
libMesh::DofObject::set_extra_integer
void set_extra_integer(const unsigned int index, const dof_id_type value)
Sets the value on this object of the extra integer associated with index, which should have been obta...
Definition: dof_object.h:1086
libMesh::DofObject::get_extra_integer
dof_id_type get_extra_integer(const unsigned int index) const
Gets the value on this object of the extra integer associated with index, which should have been obta...
Definition: dof_object.h:1102
libMesh::dof_id_type
uint8_t dof_id_type
Definition: id_types.h:67
libMesh::pi
const Real pi
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Definition: libmesh.h:299
libmesh_cppunit.h
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