--- /dev/null
+/* $Id$ */
+/* Copyright W. Bangerth, University of Heidelberg, 1999 */
+
+
+// deal_II_libraries.g=-ldeal_II_3d.g
+// deal_II_libraries=-ldeal_II_3d
+
+
+// this test case produces a lot of output about hanging nodes in 3d.
+// I used it to track down an error, but it serves perfectly well as
+// a standalone testcase.
+//
+// the tests are reliable in the following way: I checked all test cases
+// for the tri-linear elements by hand, and the first test case for the
+// biquadratic. all other tests are used to find differences in the
+// behavious of the library, without stating that the previous behaviour
+// was correct.
+
+
+#include <grid/dof.h>
+#include <grid/tria.h>
+#include <fe/fe_lib.lagrange.h>
+#include <grid/tria_boundary.h>
+#include <grid/tria_iterator.h>
+#include <grid/tria_accessor.h>
+#include <lac/dsmatrix.h>
+#include <base/parameter_handler.h>
+#include <grid/dof_constraints.h>
+
+
+#include <fstream>
+#include <cmath>
+#include <cstdlib>
+
+
+
+void make_tria (Triangulation<3> &tria, int step)
+{
+ switch (step)
+ {
+ case 0:
+ case 1:
+ {
+ // two cells packed behind each
+ // other. if step==0, refine back one,
+ // otherwise the one in front
+ const Point<3> vertices[12] = { Point<3>(0,0,0),
+ Point<3>(1,0,0),
+ Point<3>(1,0,1),
+ Point<3>(0,0,1),
+
+ Point<3>(0,1,0),
+ Point<3>(1,1,0),
+ Point<3>(1,1,1),
+ Point<3>(0,1,1),
+
+ Point<3>(0,2,0),
+ Point<3>(1,2,0),
+ Point<3>(1,2,1),
+ Point<3>(0,2,1) };
+ const int cell_vertices[2][8] = { { 0,1,2,3,4,5,6,7 }, { 4,5,6,7,8,9,10,11 } };
+ vector<CellData<3> > cells (2, CellData<3>());
+ for (unsigned int cell=0; cell<2; ++cell)
+ for (unsigned int j=0; j<8; ++j)
+ cells[cell].vertices[j] = cell_vertices[cell][j];
+ cells[0].material_id = 0;
+ cells[1].material_id = 0;
+
+ tria.create_triangulation (vector<Point<3> >(&vertices[0], &vertices[12]),
+ cells,
+ SubCellData()); // no boundary information
+
+ if (step==0)
+ tria.last_active()->set_refine_flag();
+ else
+ tria.begin_active()->set_refine_flag();
+ tria.execute_refinement ();
+
+ break;
+ };
+
+ case 2:
+ case 3:
+ {
+ // two cells packed next to each
+ // other. if step==2, refine right one,
+ // otherwise the left one
+ const Point<3> vertices[12] = { Point<3>(0,0,0),
+ Point<3>(1,0,0),
+ Point<3>(1,0,1),
+ Point<3>(0,0,1),
+
+ Point<3>(0,1,0),
+ Point<3>(1,1,0),
+ Point<3>(1,1,1),
+ Point<3>(0,1,1),
+
+ Point<3>(2,0,0),
+ Point<3>(2,0,1),
+ Point<3>(2,1,0),
+ Point<3>(2,1,1) };
+ const int cell_vertices[2][8] = { { 0,1,2,3,4,5,6,7 }, { 1,8,9,2,5,10,11,6 } };
+ vector<CellData<3> > cells (2, CellData<3>());
+ for (unsigned int cell=0; cell<2; ++cell)
+ for (unsigned int j=0; j<8; ++j)
+ cells[cell].vertices[j] = cell_vertices[cell][j];
+ cells[0].material_id = 0;
+ cells[1].material_id = 0;
+
+ tria.create_triangulation (vector<Point<3> >(&vertices[0], &vertices[12]),
+ cells,
+ SubCellData()); // no boundary information
+
+ if (step==2)
+ tria.last_active()->set_refine_flag();
+ else
+ tria.begin_active()->set_refine_flag();
+ tria.execute_refinement ();
+
+ break;
+ };
+
+ case 4:
+ case 5:
+ {
+ // two cells packed on top of each
+ // other. if step==4, refine top one,
+ // otherwise the bottom one
+ const Point<3> vertices[12] = { Point<3>(0,0,0),
+ Point<3>(1,0,0),
+ Point<3>(1,0,1),
+ Point<3>(0,0,1),
+
+ Point<3>(0,1,0),
+ Point<3>(1,1,0),
+ Point<3>(1,1,1),
+ Point<3>(0,1,1),
+
+ Point<3>(1,0,2),
+ Point<3>(0,0,2),
+ Point<3>(1,1,2),
+ Point<3>(0,1,2) };
+ const int cell_vertices[2][8] = { { 0,1,2,3,4,5,6,7 }, { 3, 2, 8, 9 , 7, 6, 10, 11} };
+ vector<CellData<3> > cells (2, CellData<3>());
+ for (unsigned int cell=0; cell<2; ++cell)
+ for (unsigned int j=0; j<8; ++j)
+ cells[cell].vertices[j] = cell_vertices[cell][j];
+ cells[0].material_id = 0;
+ cells[1].material_id = 0;
+
+ tria.create_triangulation (vector<Point<3> >(&vertices[0], &vertices[12]),
+ cells,
+ SubCellData()); // no boundary information
+
+ if (step==4)
+ tria.last_active()->set_refine_flag();
+ else
+ tria.begin_active()->set_refine_flag();
+ tria.execute_refinement ();
+
+ break;
+ };
+
+
+ case 6:
+ case 7:
+ case 8:
+ {
+ // four cells, with several refined
+ // (see below)
+ const Point<3> vertices[18] = { Point<3>(0,0,0),
+ Point<3>(1,0,0),
+ Point<3>(1,0,1),
+ Point<3>(0,0,1),
+
+ Point<3>(0,1,0),
+ Point<3>(1,1,0),
+ Point<3>(1,1,1),
+ Point<3>(0,1,1),
+
+ Point<3>(2,0,0),
+ Point<3>(2,0,1),
+ Point<3>(2,1,0),
+ Point<3>(2,1,1),
+
+ Point<3>(0,2,0),
+ Point<3>(1,2,0),
+ Point<3>(1,2,1),
+ Point<3>(0,2,1),
+
+ Point<3>(2,2,0),
+ Point<3>(2,2,1) };
+
+ const int cell_vertices[4][8] = { { 0,1,2,3,4,5,6,7 },
+ { 1,8,9,2,5,10,11,6 },
+ { 4,5,6,7,12,13,14,15},
+ { 5,10,11,6,13,16,17,14} };
+ vector<CellData<3> > cells (4, CellData<3>());
+ for (unsigned int cell=0; cell<4; ++cell)
+ for (unsigned int j=0; j<8; ++j)
+ cells[cell].vertices[j] = cell_vertices[cell][j];
+ cells[0].material_id = 0;
+ cells[1].material_id = 0;
+ cells[2].material_id = 0;
+ cells[3].material_id = 0;
+
+ tria.create_triangulation (vector<Point<3> >(&vertices[0], &vertices[18]),
+ cells,
+ SubCellData()); // no boundary information
+
+ switch (step)
+ {
+ case 6:
+ tria.begin_active()->set_refine_flag ();
+ break;
+
+ case 7:
+ tria.begin_active()->set_refine_flag ();
+ (++tria.begin_active())->set_refine_flag ();
+ break;
+ case 8:
+ tria.begin_active()->set_refine_flag ();
+ (++(++(++tria.begin_active())))->set_refine_flag ();
+ break;
+ };
+
+ tria.execute_refinement ();
+
+ break;
+ };
+ };
+};
+
+
+
+
+int main () {
+ FiniteElement<3> *fe;
+
+ for (unsigned int element=0; element<2; ++element)
+ {
+ switch (element)
+ {
+ case 0:
+ fe = new FELinear<3>();
+ break;
+ case 1:
+ fe = new FEQuadraticSub<3>();
+ break;
+ };
+
+ for (int step=0; step<9; ++step)
+ {
+ cout << "Element=" << element << ", Step=" << step << endl;
+
+ Triangulation<3> tria;
+ make_tria (tria, step);
+ tria.print_gnuplot (cout);
+
+ DoFHandler<3> dof (&tria);
+ dof.distribute_dofs (*fe);
+
+ ConstraintMatrix constraints;
+ dof.make_constraint_matrix (constraints);
+
+ constraints.print (cout);
+
+ // release fe
+ dof.clear ();
+
+ cout << endl;
+ };
+
+ delete fe;
+ };
+};
+
--- /dev/null
+Element=0, Step=0
+#Active cells on level 0: 1
+0 0 0 0
+1 0 0 0
+1 0 1 0
+0 0 1 0
+0 0 0 0
+
+0 1 0 0
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+1 1 1 0
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+0 1 0 0
+
+1 0 0 0
+1 1 0 0
+
+1 0 1 0
+1 1 1 0
+
+0 0 1 0
+0 1 1 0
+
+#Active cells on level 1: 8
+0 1 0 1
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+
+ 8 4: 0.5
+ 8 5: 0.5
+ 9 4: 0.25
+ 9 5: 0.25
+ 9 6: 0.25
+ 9 7: 0.25
+ 10 4: 0.5
+ 10 7: 0.5
+ 15 5: 0.5
+ 15 6: 0.5
+ 18 6: 0.5
+ 18 7: 0.5
+
+Element=0, Step=1
+#Active cells on level 0: 1
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+0 1 0 0
+
+0 2 0 0
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+1 2 1 0
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+0 2 0 0
+
+1 1 0 0
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+
+1 1 1 0
+1 2 1 0
+
+0 1 1 0
+0 2 1 0
+
+#Active cells on level 1: 8
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+ 28 0: 0.5
+ 28 3: 0.5
+ 29 1: 0.5
+ 29 2: 0.5
+ 30 2: 0.5
+ 30 3: 0.5
+
+Element=0, Step=2
+#Active cells on level 0: 1
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+
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+
+#Active cells on level 1: 8
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+
+1.5 1 0.5 1
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+
+1.5 0.5 0.5 1
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+
+2 0.5 0.5 1
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+
+2 0.5 1 1
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+
+1.5 0.5 1 1
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+
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+
+1 1 0.5 1
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+
+1 0.5 0.5 1
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+
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+1.5 0.5 1 1
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+
+1 0.5 1 1
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+
+ 10 1: 0.5
+ 10 2: 0.5
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+ 11 5: 0.5
+ 14 1: 0.25
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+ 14 6: 0.25
+ 23 2: 0.5
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+ 26 5: 0.5
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+
+Element=0, Step=3
+#Active cells on level 0: 1
+1 0 0 0
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+
+1 1 0 0
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+
+1 0 0 0
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+
+2 0 0 0
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+
+2 0 1 0
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+
+1 0 1 0
+1 1 1 0
+
+#Active cells on level 1: 8
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+
+0 0.5 0 1
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+0 0 0 1
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+0 1 0.5 1
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+0 0.5 0.5 1
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+
+0 0.5 1 1
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+
+ 16 0: 0.5
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+ 17 0: 0.5
+ 17 4: 0.5
+ 18 0: 0.25
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+ 20 3: 0.5
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+
+Element=0, Step=4
+#Active cells on level 0: 1
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+
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+
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+
+1 0 0 0
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+
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+
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+
+#Active cells on level 1: 8
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+0 0.5 1 1
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+0 1 1.5 1
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+0 0.5 1.5 1
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+
+0 0.5 2 1
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+
+ 8 2: 0.5
+ 8 3: 0.5
+ 11 3: 0.5
+ 11 7: 0.5
+ 12 2: 0.25
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+ 16 2: 0.5
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+
+Element=0, Step=5
+#Active cells on level 0: 1
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+
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+
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+
+1 0 2 0
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+
+0 0 2 0
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+
+#Active cells on level 1: 8
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+0 0.5 0 1
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+1 0.5 0.5 1
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+0 1 0.5 1
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+0 0.5 0.5 1
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+0 0.5 1 1
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+
+ 20 0: 0.5
+ 20 1: 0.5
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+ 21 5: 0.5
+ 22 0: 0.25
+ 22 1: 0.25
+ 22 4: 0.25
+ 22 5: 0.25
+ 23 0: 0.5
+ 23 4: 0.5
+ 30 4: 0.5
+ 30 5: 0.5
+
+Element=0, Step=6
+#Active cells on level 0: 3
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+
+1 1 0 0
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+
+1 0 0 0
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+
+2 0 0 0
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+
+2 0 1 0
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+
+1 0 1 0
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+
+0 1 0 0
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+
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+
+0 1 0 0
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+
+1 1 0 0
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+
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+
+0 1 1 0
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+
+1 1 0 0
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+
+1 2 0 0
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+
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+
+2 1 0 0
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+
+2 1 1 0
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+
+1 1 1 0
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+
+#Active cells on level 1: 8
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+
+0 0.5 0 1
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+0 0.5 1 1
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+
+ 24 0: 0.5
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