Some tests for the new CompressedSetSparsityPattern

git-svn-id: https://svn.dealii.org/trunk@14784 0785d39b-7218-0410-832d-ea1e28bc413d

diff --git a/tests/bits/Makefile b/tests/bits/Makefile
index 005bda582eeb1a3a378572c040fa1aba0ebad352..a4d698ccabc7768a712ec02780b8b5b4a93ad1fe 100644 (file)
--- a/tests/bits/Makefile
+++ b/tests/bits/Makefile
@@ -68,6 +68,7 @@ tests_x = grid_generator_?? \
          error_estimator_* \
          cylinder_shell_* \
          compressed_sparsity_pattern_* \
+         compressed_set_sparsity_pattern_* \
          point_difference_* \
          point_value_* \
          fe_q_3d* \

diff --git a/tests/bits/compressed_set_sparsity_pattern_01.cc b/tests/bits/compressed_set_sparsity_pattern_01.cc
new file mode 100644 (file)
index 0000000..aa0963f
--- /dev/null
+++ b/tests/bits/compressed_set_sparsity_pattern_01.cc
@@ -0,0 +1,53 @@
+//----------------------------  compressed_set_sparsity_pattern_01.cc  ---------------------------
+//    $Id$
+//    Version: $Name$ 
+//
+//    Copyright (C) 2004, 2005 by the deal.II authors
+//
+//    This file is subject to QPL and may not be  distributed
+//    without copyright and license information. Please refer
+//    to the file deal.II/doc/license.html for the  text  and
+//    further information on this license.
+//
+//----------------------------  compressed_set_sparsity_pattern_01.cc  ---------------------------
+
+
+// check CompressedSetSparsityPattern::n_nonzero_elements. test n_rows() and
+// n_cols() in passing
+
+#include "../tests.h"
+#include <base/logstream.h>
+#include <lac/compressed_set_sparsity_pattern.h>
+#include <iostream>
+#include <fstream>
+
+
+void test ()
+{
+                                   // set up a sparsity pattern. since
+                                   // CompressedSetSparsityPatterns are most
+                                   // often used for 3d, use a rather large
+                                   // number of entries per row
+  const unsigned int N = 1000;
+  CompressedSetSparsityPattern csp (N,N);
+  for (unsigned int i=0; i<N; ++i)
+    for (unsigned int j=0; j<40; ++j)
+      csp.add (i, (i+(i+1)*(j*j+i))%N);
+
+  Assert (csp.n_rows() == N, ExcInternalError());
+  Assert (csp.n_cols() == N, ExcInternalError());
+  deallog << csp.n_nonzero_elements () << std::endl;
+}
+
+
+
+int main () 
+{
+  std::ofstream logfile("compressed_set_sparsity_pattern_01/output");
+  deallog.attach(logfile);
+  deallog.depth_console(0);
+  deallog.threshold_double(1.e-10);
+
+  test ();
+  return 0;
+}

diff --git a/tests/bits/compressed_set_sparsity_pattern_01/cmp/generic b/tests/bits/compressed_set_sparsity_pattern_01/cmp/generic
new file mode 100644 (file)
index 0000000..73e4be8
--- /dev/null
+++ b/tests/bits/compressed_set_sparsity_pattern_01/cmp/generic
@@ -0,0 +1,2 @@
+
+DEAL::34607

diff --git a/tests/bits/compressed_set_sparsity_pattern_02.cc b/tests/bits/compressed_set_sparsity_pattern_02.cc
new file mode 100644 (file)
index 0000000..82f1957
--- /dev/null
+++ b/tests/bits/compressed_set_sparsity_pattern_02.cc
@@ -0,0 +1,50 @@
+//----------------------------  compressed_set_sparsity_pattern_02.cc  ---------------------------
+//    $Id$
+//    Version: $Name$ 
+//
+//    Copyright (C) 2004, 2005 by the deal.II authors
+//
+//    This file is subject to QPL and may not be  distributed
+//    without copyright and license information. Please refer
+//    to the file deal.II/doc/license.html for the  text  and
+//    further information on this license.
+//
+//----------------------------  compressed_set_sparsity_pattern_02.cc  ---------------------------
+
+
+// check CompressedSetSparsityPattern::bandwidth
+
+#include "../tests.h"
+#include <base/logstream.h>
+#include <lac/compressed_set_sparsity_pattern.h>
+#include <iostream>
+#include <fstream>
+
+
+void test ()
+{
+                                   // set up a sparsity pattern. since
+                                   // CompressedSetSparsityPatterns are most
+                                   // often used for 3d, use a rather large
+                                   // number of entries per row
+  const unsigned int N = 1000;
+  CompressedSetSparsityPattern csp (N,N);
+  for (unsigned int i=0; i<N; ++i)
+    for (unsigned int j=0; j<40; ++j)
+      csp.add (i, (i+(i+1)*(j*j+i))%N);
+
+  deallog << csp.bandwidth () << std::endl;
+}
+
+
+
+int main () 
+{
+  std::ofstream logfile("compressed_set_sparsity_pattern_02/output");
+  deallog.attach(logfile);
+  deallog.depth_console(0);
+  deallog.threshold_double(1.e-10);
+
+  test ();
+  return 0;
+}

diff --git a/tests/bits/compressed_set_sparsity_pattern_02/cmp/generic b/tests/bits/compressed_set_sparsity_pattern_02/cmp/generic
new file mode 100644 (file)
index 0000000..c9ff15a
--- /dev/null
+++ b/tests/bits/compressed_set_sparsity_pattern_02/cmp/generic
@@ -0,0 +1,2 @@
+
+DEAL::998

diff --git a/tests/bits/compressed_set_sparsity_pattern_03.cc b/tests/bits/compressed_set_sparsity_pattern_03.cc
new file mode 100644 (file)
index 0000000..f13d369
--- /dev/null
+++ b/tests/bits/compressed_set_sparsity_pattern_03.cc
@@ -0,0 +1,62 @@
+//----------------------------  compressed_set_sparsity_pattern_03.cc  ---------------------------
+//    $Id$
+//    Version: $Name$ 
+//
+//    Copyright (C) 2004, 2005 by the deal.II authors
+//
+//    This file is subject to QPL and may not be  distributed
+//    without copyright and license information. Please refer
+//    to the file deal.II/doc/license.html for the  text  and
+//    further information on this license.
+//
+//----------------------------  compressed_set_sparsity_pattern_03.cc  ---------------------------
+
+
+// check CompressedSetSparsityPattern::row_length
+
+#include "../tests.h"
+#include <base/logstream.h>
+#include <lac/compressed_set_sparsity_pattern.h>
+#include <iostream>
+#include <fstream>
+
+
+void test ()
+{
+                                   // set up a sparsity pattern. since
+                                   // CompressedSetSparsityPatterns are most
+                                   // often used for 3d, use a rather large
+                                   // number of entries per row
+  const unsigned int N = 1000;
+  CompressedSetSparsityPattern csp (N,N);
+  for (unsigned int i=0; i<N; ++i)
+    for (unsigned int j=0; j<40; ++j)
+      csp.add (i, (i+(i+1)*(j*j+i))%N);
+
+  for (unsigned int i=0; i<N; ++i)
+    {
+      std::vector<bool> xx(1000, false);
+      for (unsigned int j=0; j<40; ++j)
+        xx[(i+(i+1)*(j*j+i))%N] = true;
+
+      Assert (static_cast<unsigned int>(std::count (xx.begin(), xx.end(),
+                                                    true))
+              == csp.row_length(i),
+              ExcInternalError());
+      
+      deallog << i << ' ' << csp.row_length (i) << std::endl;
+    }
+}
+
+
+
+int main () 
+{
+  std::ofstream logfile("compressed_set_sparsity_pattern_03/output");
+  deallog.attach(logfile);
+  deallog.depth_console(0);
+  deallog.threshold_double(1.e-10);
+
+  test ();
+  return 0;
+}

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new file mode 100644 (file)
index 0000000..b88a23e
--- /dev/null
+++ b/tests/bits/compressed_set_sparsity_pattern_03/cmp/generic
@@ -0,0 +1,1001 @@
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diff --git a/tests/bits/compressed_set_sparsity_pattern_04.cc b/tests/bits/compressed_set_sparsity_pattern_04.cc
new file mode 100644 (file)
index 0000000..3cb2d99
--- /dev/null
+++ b/tests/bits/compressed_set_sparsity_pattern_04.cc
@@ -0,0 +1,55 @@
+//----------------------------  compressed_set_sparsity_pattern_04.cc  ---------------------------
+//    $Id$
+//    Version: $Name$ 
+//
+//    Copyright (C) 2004, 2005, 2007 by the deal.II authors
+//
+//    This file is subject to QPL and may not be  distributed
+//    without copyright and license information. Please refer
+//    to the file deal.II/doc/license.html for the  text  and
+//    further information on this license.
+//
+//----------------------------  compressed_set_sparsity_pattern_04.cc  ---------------------------
+
+
+// check CompressedSetSparsityPattern::row_begin iterators. since we create
+// quite some output here, choose smaller number of rows and entries than in
+// the other tests
+
+#include "../tests.h"
+#include <base/logstream.h>
+#include <lac/compressed_set_sparsity_pattern.h>
+#include <iostream>
+#include <fstream>
+
+
+void test ()
+{
+  const unsigned int N = 100;
+  CompressedSetSparsityPattern csp (N,N);
+  for (unsigned int i=0; i<N; ++i)
+    for (unsigned int j=0; j<10; ++j)
+      csp.add (i, (i+(i+1)*(j*j+i))%N);
+
+  for (unsigned int i=0; i<N; ++i)
+    {
+      unsigned int index = 0;
+      for (CompressedSetSparsityPattern::row_iterator
+            j = csp.row_begin(i); j != csp.row_end(i); ++j, ++index)
+       deallog << i << ' ' << index << ' ' << *j
+               << std::endl;
+    }
+}
+
+
+
+int main () 
+{
+  std::ofstream logfile("compressed_set_sparsity_pattern_04/output");
+  deallog.attach(logfile);
+  deallog.depth_console(0);
+  deallog.threshold_double(1.e-10);
+
+  test ();
+  return 0;
+}

diff --git a/tests/bits/compressed_set_sparsity_pattern_04/cmp/generic b/tests/bits/compressed_set_sparsity_pattern_04/cmp/generic
new file mode 100644 (file)
index 0000000..e299ad0
--- /dev/null
+++ b/tests/bits/compressed_set_sparsity_pattern_04/cmp/generic
@@ -0,0 +1,872 @@
+
+DEAL::0 0 0
+DEAL::0 1 1
+DEAL::0 2 4
+DEAL::0 3 9
+DEAL::0 4 16
+DEAL::0 5 25
+DEAL::0 6 36
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+DEAL::0 8 64
+DEAL::0 9 81
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+DEAL::71 6 75
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+DEAL::73 9 75
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+DEAL::76 8 60
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+DEAL::77 5 75
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+DEAL::85 6 81
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+DEAL::99 0 99

diff --git a/tests/bits/compressed_set_sparsity_pattern_05.cc b/tests/bits/compressed_set_sparsity_pattern_05.cc
new file mode 100644 (file)
index 0000000..c18ff3a
--- /dev/null
+++ b/tests/bits/compressed_set_sparsity_pattern_05.cc
@@ -0,0 +1,56 @@
+//----------------------------  compressed_set_sparsity_pattern_05.cc  ---------------------------
+//    $Id$
+//    Version: $Name$ 
+//
+//    Copyright (C) 2004, 2005, 2007 by the deal.II authors
+//
+//    This file is subject to QPL and may not be  distributed
+//    without copyright and license information. Please refer
+//    to the file deal.II/doc/license.html for the  text  and
+//    further information on this license.
+//
+//----------------------------  compressed_set_sparsity_pattern_05.cc  ---------------------------
+
+
+// check CompressedSetSparsityPattern::symmetrize. since we create quite some
+// output here, choose smaller number of rows and entries than in the other
+// tests
+
+#include "../tests.h"
+#include <base/logstream.h>
+#include <lac/compressed_set_sparsity_pattern.h>
+#include <iostream>
+#include <fstream>
+
+
+void test ()
+{
+  const unsigned int N = 100;
+  CompressedSetSparsityPattern csp (N,N);
+  for (unsigned int i=0; i<N; ++i)
+    for (unsigned int j=0; j<10; ++j)
+      csp.add (i, (i+(i+1)*(j*j+i))%N);
+  csp.symmetrize ();
+
+  for (unsigned int i=0; i<N; ++i)
+    {
+      unsigned int index = 0;
+      for (CompressedSetSparsityPattern::row_iterator
+            j = csp.row_begin(i); j != csp.row_end(i); ++j, ++index)
+       deallog << i << ' ' << index << ' ' << *j
+               << std::endl;
+    }
+}
+
+
+
+int main () 
+{
+  std::ofstream logfile("compressed_set_sparsity_pattern_05/output");
+  deallog.attach(logfile);
+  deallog.depth_console(0);
+  deallog.threshold_double(1.e-10);
+
+  test ();
+  return 0;
+}

diff --git a/tests/bits/compressed_set_sparsity_pattern_05/cmp/generic b/tests/bits/compressed_set_sparsity_pattern_05/cmp/generic
new file mode 100644 (file)
index 0000000..b321f36
--- /dev/null
+++ b/tests/bits/compressed_set_sparsity_pattern_05/cmp/generic
@@ -0,0 +1,1625 @@
+
+DEAL::0 0 0
+DEAL::0 1 1
+DEAL::0 2 2
+DEAL::0 3 4
+DEAL::0 4 6
+DEAL::0 5 9
+DEAL::0 6 12
+DEAL::0 7 16
+DEAL::0 8 22
+DEAL::0 9 25
+DEAL::0 10 26
+DEAL::0 11 32
+DEAL::0 12 36
+DEAL::0 13 42
+DEAL::0 14 46
+DEAL::0 15 48
+DEAL::0 16 49
+DEAL::0 17 50
+DEAL::0 18 52
+DEAL::0 19 56
+DEAL::0 20 62
+DEAL::0 21 64
+DEAL::0 22 66
+DEAL::0 23 72
+DEAL::0 24 76
+DEAL::0 25 81
+DEAL::0 26 82
+DEAL::0 27 86
+DEAL::0 28 92
+DEAL::0 29 96
+DEAL::0 30 98
+DEAL::1 0 0
+DEAL::1 1 1
+DEAL::1 2 3
+DEAL::1 3 5
+DEAL::1 4 11
+DEAL::1 5 21
+DEAL::1 6 25
+DEAL::1 7 28
+DEAL::1 8 31
+DEAL::1 9 35
+DEAL::1 10 36
+DEAL::1 11 40
+DEAL::1 12 48
+DEAL::1 13 52
+DEAL::1 14 53
+DEAL::1 15 61
+DEAL::1 16 65
+DEAL::1 17 72
+DEAL::1 18 73
+DEAL::1 19 75
+DEAL::1 20 76
+DEAL::1 21 77
+DEAL::1 22 97
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diff --git a/tests/bits/compressed_set_sparsity_pattern_06.cc b/tests/bits/compressed_set_sparsity_pattern_06.cc
new file mode 100644 (file)
index 0000000..64ca91f
--- /dev/null
+++ b/tests/bits/compressed_set_sparsity_pattern_06.cc
@@ -0,0 +1,51 @@
+//----------------------------  compressed_set_sparsity_pattern_06.cc  ---------------------------
+//    $Id$
+//    Version: $Name$ 
+//
+//    Copyright (C) 2004, 2005 by the deal.II authors
+//
+//    This file is subject to QPL and may not be  distributed
+//    without copyright and license information. Please refer
+//    to the file deal.II/doc/license.html for the  text  and
+//    further information on this license.
+//
+//----------------------------  compressed_set_sparsity_pattern_06.cc  ---------------------------
+
+
+// check CompressedSetSparsityPattern::print_gnuplot. since we create quite some
+// output here, choose smaller number of rows and entries than in the other
+// tests
+
+#include "../tests.h"
+#include <base/logstream.h>
+#include <lac/compressed_set_sparsity_pattern.h>
+#include <iostream>
+#include <fstream>
+
+
+std::ofstream logfile("compressed_set_sparsity_pattern_06/output");
+
+void test ()
+{
+  const unsigned int N = 100;
+  CompressedSetSparsityPattern csp (N,N);
+  for (unsigned int i=0; i<N; ++i)
+    for (unsigned int j=0; j<10; ++j)
+      csp.add (i, (i+(i+1)*(j*j+i))%N);
+  csp.symmetrize ();
+
+  csp.print_gnuplot (logfile);
+  deallog << "OK" << std::endl;
+}
+
+
+
+int main () 
+{
+  deallog.attach(logfile);
+  deallog.depth_console(0);
+  deallog.threshold_double(1.e-10);
+
+  test ();
+  return 0;
+}

diff --git a/tests/bits/compressed_set_sparsity_pattern_06/cmp/generic b/tests/bits/compressed_set_sparsity_pattern_06/cmp/generic
new file mode 100644 (file)
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--- /dev/null
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+DEAL::OK

diff --git a/tests/bits/compressed_set_sparsity_pattern_07.cc b/tests/bits/compressed_set_sparsity_pattern_07.cc
new file mode 100644 (file)
index 0000000..fd4e7c8
--- /dev/null
+++ b/tests/bits/compressed_set_sparsity_pattern_07.cc
@@ -0,0 +1,55 @@
+//----------------------------  compressed_set_sparsity_pattern_07.cc  ---------------------------
+//    $Id$
+//    Version: $Name$ 
+//
+//    Copyright (C) 2004, 2005 by the deal.II authors
+//
+//    This file is subject to QPL and may not be  distributed
+//    without copyright and license information. Please refer
+//    to the file deal.II/doc/license.html for the  text  and
+//    further information on this license.
+//
+//----------------------------  compressed_set_sparsity_pattern_07.cc  ---------------------------
+
+
+// check CompressedSetSparsityPattern::exists. since we create quite some
+// output here, choose smaller number of rows and entries than in the other
+// tests
+
+#include "../tests.h"
+#include <base/logstream.h>
+#include <lac/compressed_set_sparsity_pattern.h>
+#include <iostream>
+#include <fstream>
+
+
+void test ()
+{
+  const unsigned int N = 100;
+  CompressedSetSparsityPattern csp (N,N);
+  for (unsigned int i=0; i<N; ++i)
+    for (unsigned int j=0; j<10; ++j)
+      csp.add (i, (i+(i+1)*(j*j+i))%N);
+  csp.symmetrize ();
+
+  for (unsigned int i=0; i<N; ++i)
+    {
+      deallog << i << ' ';
+      for (unsigned int j=0; j<N; ++j)
+        deallog << (csp.exists(i,j) ? 'x' : ' ');
+      deallog << std::endl;
+    }
+}
+
+
+
+int main () 
+{
+  std::ofstream logfile("compressed_set_sparsity_pattern_07/output");
+  deallog.attach(logfile);
+  deallog.depth_console(0);
+  deallog.threshold_double(1.e-10);
+
+  test ();
+  return 0;
+}

diff --git a/tests/bits/compressed_set_sparsity_pattern_07/cmp/generic b/tests/bits/compressed_set_sparsity_pattern_07/cmp/generic
new file mode 100644 (file)
index 0000000..0cbd62b
--- /dev/null
+++ b/tests/bits/compressed_set_sparsity_pattern_07/cmp/generic
@@ -0,0 +1,101 @@
+
+DEAL::0 xxx x x  x  x   x     x  xx     x   x     x   x xxx x   x     x x x     x   x    xx   x     x   x x 
+DEAL::1 xx x x     x         x   x  x  x   xx   x       x   xx       x   x      xx xxx                   x  
+DEAL::2 x       x  x    x   x              x               x   xx                          x                
+DEAL::3  x         x   x   x  x   x    x       x       x   x       x           x       x                 x  
+DEAL::4 x   x   x               x   xx          x   x    xx   x   x          x        x           x   x     
+DEAL::5  x      x   x   xx x x       x xxx xxx  xx         xx   xx x x   x      x   xx   x   x   x  x   xx  
+DEAL::6 x          x   x       x                        x      x    x               x              x    x   
+DEAL::7            x                       x               x   x       x       x   x               x   x    
+DEAL::8   x xx   x      x    x  x                     x     x   x    x                  x        x      x   
+DEAL::9 x       xx   x           x       x     x         x         xx   x                   xx  xx         x
+DEAL::10            x    x  xx   x      x                           x    x                              xx   
+DEAL::11  xxx  xx  xx   x x     x x x   x   x x     x  x    x   x  x  x   x x  xx x x  x   xx   x   x x x    
+DEAL::12 x    x              xx              x                               x       x    x   x       x      
+DEAL::13          x      x  x x       x  x        x   x     x     x                       x         x   x   x
+DEAL::14                         x              x                   x    x                   x              x
+DEAL::15    x  x    x       x      x    x       x     xx    x x x          x   xx      xx      x    x   x   x
+DEAL::16 x x  x  x x  x       x          x   x x  x    x   x x   x x x    x          x     x   x x       x   
+DEAL::17      x     x           x                 x                             x x x     x   x         x    
+DEAL::18                                x   xx       x               x   x           x  x           x       x
+DEAL::19    x x    x  x x   x   x     x     x       x          xx       x x   xx       xx             xxx  xx
+DEAL::20   x       x x         x x    x  x     x xxx         x       xxx  x   x  x   x     x x   x   x   x   
+DEAL::21  x   x  x   xx  x               xx x x  xx               x   x   x     x   xx   xx x    x  x        
+DEAL::22 x  x                x       x      x               x   xx                                  x    x   
+DEAL::23       x    x     x x           x       x  x        x       x       x   x   x     x         x       x
+DEAL::24     x   x x   x     x   x         x   x     x    x    x   x x   x     x   x         x   x     x     
+DEAL::25 xx       x x             x             x        xx                       x x   x x         x        
+DEAL::26 x  x           x            x       x              x   xx   x          x                            
+DEAL::27            x                   x   x               x   x                   x       x       x   x    
+DEAL::28  x  x                 x   x             x               x    x   x   x  x   x       x    x      x   
+DEAL::29     xx       x     xx        x              xx   x                  xx         xx       x    x     x
+DEAL::30                                    x   x    x           x   x          x    x  x    x      x        
+DEAL::31  x x x    xx   x  x    x   x     x x  x  xxx  xx  xx x x      xx x x   x   x x     x  xx   x     x  
+DEAL::32 x    x       x  x   xx                                       x              x        x  x           
+DEAL::33      x   x           x         x                    x  x     x               x x         x x    x  x
+DEAL::34                         x              x                   x    x                   x              x
+DEAL::35  xx  x x   x      xx xx    x  xx       x xxx   x   x   x   x xx    x   x         xx    x   x x x   x
+DEAL::36 xx   x      x   x x       x         x   x x     x x         x x  x  x       x    x    x   x xx    x 
+DEAL::37      x     x         x                     x       x                       x     x   x       x x    
+DEAL::38                 x   x   x      x            x              x           x    x  x               x    
+DEAL::39    x     x    xx       x x    x   xx   x   x           x  xx             x x  x    x x   xx  x     x
+DEAL::40  x  xx              xx      x       x       x    x      x             x       x x        x          
+DEAL::41      x       x  xx  xx         x   x     x   x  x  x    x      x x  x   xx x    xx          xx   x  
+DEAL::42 x                   x  x       x   xx           x      x                                   x    x   
+DEAL::43            x       x           x   x x x           x         xx                x      xx   x       x
+DEAL::44     x             x     x    xx       x x   x    x    x             xx          x       x x   x     
+DEAL::45              x x             x           x         x       xxx   x   x x             x  x          x
+DEAL::46 x       x  x   xx              x                       x    x                      x            x   
+DEAL::47    x                           x   x               x   x               x   x               x   x    
+DEAL::48 xx    x                  x          x    xx      x      x       x    x              x       x   x   
+DEAL::49 x   x    x              xx   x          x   x   xx              xx  xx   x          x    x   x     x
+DEAL::50 x   x           x              x    x              x       x    x          x                       x
+DEAL::51   xx x x   x x x      xx  xx   x   x x   x x x x  xx   x x     x       x   x  x  x    xx  xx x x  x 
+DEAL::52 xx   x  x       x   x            x                      x    x                       x              
+DEAL::53  x             x               x                           x x   x   x xx   x  x         x       x  
+DEAL::54     x              x    x                   x                                  x                   x
+DEAL::55   x   xx   x   x   x  x   xx   x x x   x  x   xx   x      xx  x  xxx   x       x  xx  xx  xx        
+DEAL::56 x x  x  x       x     x   x x x         xx      x   x     x xx   xx     xx  x x x         x     x   
+DEAL::57      x       x       x                             x         x x           x         x     x   x    
+DEAL::58     x      x    x       x              x               xx  x           x        x                   
+DEAL::59    x x   xx   x        x          xx  xx     x    x  x x  xx   x         x x       x     x     x   x
+DEAL::60       x  x      x x x   x x   x     x        xx         x    x  x x xx      x   xx    x         x   
+DEAL::61  x   x  x  x        xx      x   xx x       x x      xx  xx  x    x         x x   x   x     x x  x   
+DEAL::62 x                   x          x   xx      x           x            x  x    x                       
+DEAL::63        x           x           x         x         x     x x      x    x       x  x        x   x   x
+DEAL::64 x        xx   x   x     x         x             xxx         x   x   x               x    x        x 
+DEAL::65  x   x     x    x  xxx      x  x    x    x   x   x   x xx    x              x  x x       x      x   
+DEAL::66 x              x                                       xx   x  x       x    x           x  x        
+DEAL::67            x           x       x   x                   x               x   x               x   x    
+DEAL::68             x                x      x    x  x    x          x x x           x    x   xx             
+DEAL::69     x              xx       xx              xx  xx   x      x        x   x     x     x             x
+DEAL::70            x   x   x    x               x                                   x  x    x      x    x   
+DEAL::71    x   x   x   x x   x x  x   xx   x  x      x x   x x x  x   xx  xx   x x x     xxx x x  xx   x x  
+DEAL::72 xx   x              x       x            x           x  x                            x          x   
+DEAL::73  x         x     x       x             x x       x      x  x         x x   x     x          x       
+DEAL::74                         x                                                                          x
+DEAL::75  x     x   x     x   x x x x   x     x x x     x  xx     x x x     x   x x x x x x     x   x     xxx
+DEAL::76 xx   xx     x   x x xx      x x x   x x              x  x   x x  xx x x         x x     x           
+DEAL::77  x   x                         x x                           x             x       x x     x   x    
+DEAL::78     x      x   x   x                   xx          x    x                           x           x   
+DEAL::79    x           x  xx     x   xx  x    x    x         xxx       x x   xx    x   x   x          xx   x
+DEAL::80         x            x       x          xx  x           x x x               x       xx   xx         
+DEAL::81 x    x      xx   x   x x x         xxx   x         x        xx   x  x  x x x         x  x   xx  x   
+DEAL::82 x          x    x   x              x                   x       x       x    x           x           
+DEAL::83   x        x         x     x   x       x      x        x   x           x     x x           x       x
+DEAL::84          x    x     x   x   x x   x             xx              x     x       x x   x    x        x 
+DEAL::85      x   x  x    x              x    x x     x      x    x   x      xx xx    x  xx         xxx x x x
+DEAL::86 x              xx              x    x      x       x   x    x       x                               
+DEAL::87            x                   x   x       x       x   x               x   x                   x    
+DEAL::88          x      x   xx  x    x  x           xx                    x         x    xx                 
+DEAL::89      x  xx                  x    x     xx        x   x     x    xx              x   x    x         x
+DEAL::90     x                               x  x    x      x   xx              x        x                  x
+DEAL::91       xx   x x x  x  xxx x x  xx x x      xx   x   x   x x   x x  xx  xx   x x     x x     x   x  x 
+DEAL::92 x    x              x               x    x      x                        x       x   x          x   
+DEAL::93            xx      x         x     xxx x x       x x         x                   x   x              
+DEAL::94     x              x    x                   x                                  x                   x
+DEAL::95        x  xx x x x x       x       x xx        x   x     x x   x   x   x     x x     x x   x     x x
+DEAL::96 x    xx x x     x   x x     x    x        x   x x       x   xx   x    x x     x  x          x   x x 
+DEAL::97  x x x                         x         x           x                 x   x         x         x    
+DEAL::98 x                  x                x              x            x          x        x      x    x  x
+DEAL::99          x   xxx  xx   x     x   xxx   x   x x   xx   x    x   x     x    xx   x   x x   xx   xx  xx

diff --git a/tests/bits/compressed_set_sparsity_pattern_08.cc b/tests/bits/compressed_set_sparsity_pattern_08.cc
new file mode 100644 (file)
index 0000000..8c55ed6
--- /dev/null
+++ b/tests/bits/compressed_set_sparsity_pattern_08.cc
@@ -0,0 +1,50 @@
+//----------------------------  compressed_set_sparsity_pattern_08.cc  ---------------------------
+//    $Id$
+//    Version: $Name$ 
+//
+//    Copyright (C) 2004, 2005 by the deal.II authors
+//
+//    This file is subject to QPL and may not be  distributed
+//    without copyright and license information. Please refer
+//    to the file deal.II/doc/license.html for the  text  and
+//    further information on this license.
+//
+//----------------------------  compressed_set_sparsity_pattern_08.cc  ---------------------------
+
+
+// check CompressedSetSparsityPattern::max_entries_per_row
+
+#include "../tests.h"
+#include <base/logstream.h>
+#include <lac/compressed_set_sparsity_pattern.h>
+#include <iostream>
+#include <fstream>
+
+
+void test ()
+{
+                                   // set up a sparsity pattern. since
+                                   // CompressedSetSparsityPatterns are most
+                                   // often used for 3d, use a rather large
+                                   // number of entries per row
+  const unsigned int N = 1000;
+  CompressedSetSparsityPattern csp (N,N);
+  for (unsigned int i=0; i<N; ++i)
+    for (unsigned int j=0; j<40; ++j)
+      csp.add (i, (i+(i+1)*(j*j+i))%N);
+
+  deallog << ' ' << csp.max_entries_per_row () << std::endl;
+}
+
+
+
+int main () 
+{
+  std::ofstream logfile("compressed_set_sparsity_pattern_08/output");
+  deallog.attach(logfile);
+  deallog.depth_console(0);
+  deallog.threshold_double(1.e-10);
+
+  test ();
+  return 0;
+}

diff --git a/tests/bits/compressed_set_sparsity_pattern_08/cmp/generic b/tests/bits/compressed_set_sparsity_pattern_08/cmp/generic
new file mode 100644 (file)
index 0000000..c968392
--- /dev/null
+++ b/tests/bits/compressed_set_sparsity_pattern_08/cmp/generic
@@ -0,0 +1,2 @@
+
+DEAL:: 39

diff --git a/tests/bits/compressed_set_sparsity_pattern_09.cc b/tests/bits/compressed_set_sparsity_pattern_09.cc
new file mode 100644 (file)
index 0000000..e8b3666
--- /dev/null
+++ b/tests/bits/compressed_set_sparsity_pattern_09.cc
@@ -0,0 +1,47 @@
+//----------------------------  compressed_set_sparsity_pattern_09.cc  ---------------------------
+//    $Id$
+//    Version: $Name$ 
+//
+//    Copyright (C) 2004, 2005 by the deal.II authors
+//
+//    This file is subject to QPL and may not be  distributed
+//    without copyright and license information. Please refer
+//    to the file deal.II/doc/license.html for the  text  and
+//    further information on this license.
+//
+//----------------------------  compressed_set_sparsity_pattern_09.cc  ---------------------------
+
+
+// check CompressedSetSparsityPattern::empty
+
+#include "../tests.h"
+#include <base/logstream.h>
+#include <lac/compressed_set_sparsity_pattern.h>
+#include <iostream>
+#include <fstream>
+
+
+void test ()
+{
+  const unsigned int N = 1000;
+  CompressedSetSparsityPattern csp;
+  Assert (csp.empty() == true, ExcInternalError());
+
+  csp.reinit (N, N);
+  Assert (csp.empty() == false, ExcInternalError());
+  
+  deallog << "OK" << std::endl;
+}
+
+
+
+int main () 
+{
+  std::ofstream logfile("compressed_set_sparsity_pattern_09/output");
+  deallog.attach(logfile);
+  deallog.depth_console(0);
+  deallog.threshold_double(1.e-10);
+
+  test ();
+  return 0;
+}

diff --git a/tests/bits/compressed_set_sparsity_pattern_09/cmp/generic b/tests/bits/compressed_set_sparsity_pattern_09/cmp/generic
new file mode 100644 (file)
index 0000000..0fd8fc1
--- /dev/null
+++ b/tests/bits/compressed_set_sparsity_pattern_09/cmp/generic
@@ -0,0 +1,2 @@
+
+DEAL::OK

diff --git a/tests/hp/crash_17_compressed_set_sparsity.cc b/tests/hp/crash_17_compressed_set_sparsity.cc
new file mode 100644 (file)
index 0000000..d2feb30
--- /dev/null
+++ b/tests/hp/crash_17_compressed_set_sparsity.cc
@@ -0,0 +1,732 @@
+//----------------------------  crash_17.cc  ---------------------------
+//    $Id: crash_17.cc 12732 2006-03-28 23:15:45Z wolf $
+//    Version: $Name$ 
+//
+//    Copyright (C) 2006, 2007 by the deal.II authors
+//
+//    This file is subject to QPL and may not be  distributed
+//    without copyright and license information. Please refer
+//    to the file deal.II/doc/license.html for the  text  and
+//    further information on this license.
+//
+//----------------------------  crash_17.cc  ---------------------------
+
+
+// a modified version of step-27 that crashes because of circular constraints.
+// like crash_17, but use a Compressed*Set*SparsityPattern instead to test
+// that class some more
+
+char logname[] = "crash_17_compressed_set_sparsity/output";
+
+
+#include "../tests.h"
+
+
+#include <base/quadrature_lib.h>
+#include <base/function.h>
+#include <base/logstream.h>
+#include <base/utilities.h>
+#include <base/timer.h>
+#include <lac/vector.h>
+#include <lac/full_matrix.h>
+#include <lac/sparse_matrix.h>
+#include <lac/compressed_set_sparsity_pattern.h>
+#include <lac/solver_cg.h>
+#include <lac/precondition.h>
+#include <grid/tria.h>
+#include <hp/dof_handler.h>
+#include <grid/grid_generator.h>
+#include <grid/tria_accessor.h>
+#include <grid/tria_iterator.h>
+#include <grid/tria_boundary_lib.h>
+#include <dofs/dof_accessor.h>
+#include <dofs/dof_tools.h>
+#include <hp/fe_values.h>
+#include <numerics/vectors.h>
+#include <numerics/matrices.h>
+#include <numerics/data_out.h>
+
+#include <fstream>
+#include <iostream>
+
+#include <fe/fe_q.h>
+#include <grid/grid_out.h>
+#include <dofs/dof_constraints.h>
+#include <grid/grid_refinement.h>
+#include <numerics/error_estimator.h>
+
+#include <complex>
+
+                                // Finally, this is as in previous
+                                // programs:
+using namespace dealii;
+
+template <int dim>
+class LaplaceProblem 
+{
+  public:
+    LaplaceProblem ();
+    ~LaplaceProblem ();
+
+    void run ();
+    
+  private:
+    void setup_system ();
+    void assemble_system ();
+    void solve ();
+    void create_coarse_grid ();
+    void refine_grid ();
+    void estimate_smoothness (Vector<float> &smoothness_indicators) const;
+    void output_results (const unsigned int cycle) const;
+
+    Triangulation<dim>   triangulation;
+
+    hp::DoFHandler<dim>      dof_handler;
+    hp::FECollection<dim>    fe_collection;
+    hp::QCollection<dim>     quadrature_collection;
+    hp::QCollection<dim-1>   face_quadrature_collection;
+
+    ConstraintMatrix     hanging_node_constraints;
+
+    SparsityPattern      sparsity_pattern;
+    SparseMatrix<double> system_matrix;
+
+    Vector<double>       solution;
+    Vector<double>       system_rhs;
+
+    Timer distr, condense, hang;
+};
+
+
+
+template <int dim>
+class RightHandSide : public Function<dim>
+{
+  public:
+    RightHandSide () : Function<dim> () {};
+    
+    virtual double value (const Point<dim>   &p,
+                         const unsigned int  component) const;
+};
+
+
+template <int dim>
+double
+RightHandSide<dim>::value (const Point<dim>   &p,
+                          const unsigned int  /*component*/) const
+{
+  double product = 1;
+  for (unsigned int d=0; d<dim; ++d)
+    product *= (p[d]+1);
+  return product;
+}
+
+
+
+
+template <int dim>
+LaplaceProblem<dim>::LaplaceProblem () :
+               dof_handler (triangulation)
+{
+  for (unsigned int degree=2; degree<5; ++degree)
+    {
+      fe_collection.push_back (FE_Q<dim>(degree));
+      quadrature_collection.push_back (QGauss<dim>(degree+2));
+      face_quadrature_collection.push_back (QGauss<dim-1>(degree+2));
+    }
+}
+
+
+template <int dim>
+LaplaceProblem<dim>::~LaplaceProblem () 
+{
+  dof_handler.clear ();
+}
+
+template <int dim>
+void LaplaceProblem<dim>::setup_system ()
+{
+  distr.reset();
+  distr.start();
+  dof_handler.distribute_dofs (fe_collection);
+  distr.stop();
+
+  solution.reinit (dof_handler.n_dofs());
+  system_rhs.reinit (dof_handler.n_dofs());
+
+  hanging_node_constraints.clear ();
+  hang.reset();
+  hang.start();
+  DoFTools::make_hanging_node_constraints (dof_handler,
+                                          hanging_node_constraints);
+  hanging_node_constraints.write_dot (deallog.get_file_stream());
+  hanging_node_constraints.close ();
+  hang.stop();
+
+  if (dim < 3)
+    {
+      sparsity_pattern.reinit (dof_handler.n_dofs(),
+                              dof_handler.n_dofs(),
+                              dof_handler.max_couplings_between_dofs());
+      DoFTools::make_sparsity_pattern (dof_handler, sparsity_pattern);
+
+      condense.reset();
+      condense.start();
+      hanging_node_constraints.condense (sparsity_pattern);
+      condense.stop();
+      sparsity_pattern.compress();      
+    }
+  else
+    {
+      CompressedSetSparsityPattern csp (dof_handler.n_dofs(),
+                                    dof_handler.n_dofs());
+      DoFTools::make_sparsity_pattern (dof_handler, csp);
+
+      condense.reset();
+      condense.start();
+      hanging_node_constraints.condense (csp);
+      condense.stop();
+      
+      sparsity_pattern.copy_from (csp);
+    }  
+
+  system_matrix.reinit (sparsity_pattern);
+}
+
+template <int dim>
+void LaplaceProblem<dim>::assemble_system () 
+{
+  hp::FEValues<dim> hp_fe_values (fe_collection,
+                                 quadrature_collection, 
+                                 update_values    |  update_gradients |
+                                 update_q_points  |  update_JxW_values);
+
+  const RightHandSide<dim> rhs_function;
+  
+  typename hp::DoFHandler<dim>::active_cell_iterator
+    cell = dof_handler.begin_active(),
+    endc = dof_handler.end();
+  for (; cell!=endc; ++cell)
+    {
+      const unsigned int   dofs_per_cell = cell->get_fe().dofs_per_cell;
+      FullMatrix<double>   cell_matrix (dofs_per_cell, dofs_per_cell);
+      Vector<double>       cell_rhs (dofs_per_cell);
+
+      std::vector<unsigned int> local_dof_indices (dofs_per_cell);
+
+      cell_matrix = 0;
+      cell_rhs = 0;
+
+      hp_fe_values.reinit (cell);
+      
+      const FEValues<dim> &fe_values = hp_fe_values.get_present_fe_values ();
+
+      std::vector<double>  rhs_values (fe_values.n_quadrature_points);
+      rhs_function.value_list (fe_values.get_quadrature_points(),
+                              rhs_values);
+      
+      for (unsigned int q_point=0; q_point<fe_values.n_quadrature_points; ++q_point)
+       for (unsigned int i=0; i<dofs_per_cell; ++i)
+         {
+           for (unsigned int j=0; j<dofs_per_cell; ++j)
+             cell_matrix(i,j) += (fe_values.shape_grad(i,q_point) *
+                                  fe_values.shape_grad(j,q_point) *
+                                  fe_values.JxW(q_point));
+
+           cell_rhs(i) += (fe_values.shape_value(i,q_point) *
+                           rhs_values[q_point] *
+                           fe_values.JxW(q_point));
+         }
+
+      cell->get_dof_indices (local_dof_indices);
+      for (unsigned int i=0; i<dofs_per_cell; ++i)
+       {
+         for (unsigned int j=0; j<dofs_per_cell; ++j)
+           system_matrix.add (local_dof_indices[i],
+                              local_dof_indices[j],
+                              cell_matrix(i,j));
+         
+         system_rhs(local_dof_indices[i]) += cell_rhs(i);
+       }
+    }
+
+  condense.start();
+  hanging_node_constraints.condense (system_matrix);
+  hanging_node_constraints.condense (system_rhs);
+  condense.stop();
+  std::map<unsigned int,double> boundary_values;
+  VectorTools::interpolate_boundary_values (dof_handler,
+                                           0,
+                                           ZeroFunction<dim>(),
+                                           boundary_values);
+  MatrixTools::apply_boundary_values (boundary_values,
+                                     system_matrix,
+                                     solution,
+                                     system_rhs);
+}
+
+template <int dim>
+void LaplaceProblem<dim>::solve () 
+{
+  SolverControl           solver_control (system_rhs.size(),
+                                         1e-8*system_rhs.l2_norm());
+  SolverCG<>              cg (solver_control);
+
+  PreconditionSSOR<> preconditioner;
+  preconditioner.initialize(system_matrix, 1.2);
+
+  cg.solve (system_matrix, solution, system_rhs,
+           preconditioner);
+
+  hanging_node_constraints.distribute (solution);
+}
+
+
+unsigned int
+int_pow (const unsigned int x,
+        const unsigned int n)
+{
+  unsigned int p=1;
+  for (unsigned int i=0; i<n; ++i)
+    p *= x;
+  return p;
+}
+
+
+template <int dim>
+void
+LaplaceProblem<dim>::
+estimate_smoothness (Vector<float> &smoothness_indicators) const
+{
+  const unsigned int N = 4;
+
+                                  // form all the Fourier vectors
+                                  // that we want to
+                                  // consider. exclude k=0 to avoid
+                                  // problems with |k|^{-mu} and also
+                                  // logarithms of |k|
+  std::vector<Tensor<1,dim> > k_vectors;
+  std::vector<unsigned int>   k_vectors_magnitude;
+  switch (dim)
+    {
+      case 2:
+      {
+       for (unsigned int i=0; i<N; ++i)
+         for (unsigned int j=0; j<N; ++j)
+           if (!((i==0) && (j==0))
+               &&
+               (i*i + j*j < N*N))
+             {
+               k_vectors.push_back (Point<dim>(deal_II_numbers::PI * i,
+                                               deal_II_numbers::PI * j));
+               k_vectors_magnitude.push_back (i*i+j*j);
+             }
+       
+       break;
+      }
+
+      case 3:
+      {
+       for (unsigned int i=0; i<N; ++i)
+         for (unsigned int j=0; j<N; ++j)
+           for (unsigned int k=0; k<N; ++k)
+             if (!((i==0) && (j==0) && (k==0))
+                 &&
+                 (i*i + j*j + k*k < N*N))
+               {
+                 k_vectors.push_back (Point<dim>(deal_II_numbers::PI * i,
+                                                 deal_II_numbers::PI * j,
+                                                 deal_II_numbers::PI * k));
+                 k_vectors_magnitude.push_back (i*i+j*j+k*k);
+             }
+       
+       break;
+      }
+      
+      default:
+           Assert (false, ExcNotImplemented());
+    }
+
+  const unsigned n_fourier_modes = k_vectors.size();
+  std::vector<double> ln_k (n_fourier_modes);
+  for (unsigned int i=0; i<n_fourier_modes; ++i)
+    ln_k[i] = std::log (k_vectors[i].norm());
+  
+
+                                  // assemble the matrices that do
+                                  // the Fourier transforms for each
+                                  // of the finite elements we deal
+                                  // with. note that these matrices
+                                  // are complex-valued, so we can't
+                                  // use FullMatrix
+  QGauss<1>      base_quadrature (2);
+  QIterated<dim> quadrature (base_quadrature, N);
+  
+  std::vector<Table<2,std::complex<double> > >
+    fourier_transform_matrices (fe_collection.size());
+  for (unsigned int fe=0; fe<fe_collection.size(); ++fe)
+    {
+      fourier_transform_matrices[fe].reinit (n_fourier_modes,
+                                            fe_collection[fe].dofs_per_cell);
+
+      for (unsigned int k=0; k<n_fourier_modes; ++k)
+       for (unsigned int i=0; i<fe_collection[fe].dofs_per_cell; ++i)
+         {
+           std::complex<double> sum = 0;
+           for (unsigned int q=0; q<quadrature.n_quadrature_points; ++q)
+             {
+               const Point<dim> x_q = quadrature.point(q);
+               sum += std::exp(std::complex<double>(0,1) *
+                               (k_vectors[k] * x_q)) *
+                      fe_collection[fe].shape_value(i,x_q) *
+                      quadrature.weight(q);
+             }
+           fourier_transform_matrices[fe](k,i)
+             = sum / std::pow(2*deal_II_numbers::PI, 1.*dim/2);
+         }
+    }
+
+                                  // the next thing is to loop over
+                                  // all cells and do our work there,
+                                  // i.e. to locally do the Fourier
+                                  // transform and estimate the decay
+                                  // coefficient
+  std::vector<std::complex<double> > fourier_coefficients (n_fourier_modes);
+  Vector<double>                     local_dof_values;
+  
+  typename hp::DoFHandler<dim>::active_cell_iterator
+    cell = dof_handler.begin_active(),
+    endc = dof_handler.end();
+  for (unsigned int index=0; cell!=endc; ++cell, ++index)
+    {
+      local_dof_values.reinit (cell->get_fe().dofs_per_cell);
+      cell->get_dof_values (solution, local_dof_values);
+
+                                      // first compute the Fourier
+                                      // transform of the local
+                                      // solution
+      std::fill (fourier_coefficients.begin(), fourier_coefficients.end(), 0);
+      for (unsigned int f=0; f<n_fourier_modes; ++f)
+       for (unsigned int i=0; i<cell->get_fe().dofs_per_cell; ++i)
+         fourier_coefficients[f] += 
+           fourier_transform_matrices[cell->active_fe_index()](f,i)
+           *
+           local_dof_values(i);
+
+                                      // enter the Fourier
+                                      // coefficients into a map with
+                                      // the k-magnitudes, to make
+                                      // sure that we get only the
+                                      // largest magnitude for each
+                                      // value of |k|
+      std::map<unsigned int, double> k_to_max_U_map;
+      for (unsigned int f=0; f<n_fourier_modes; ++f)
+       if ((k_to_max_U_map.find (k_vectors_magnitude[f]) ==
+            k_to_max_U_map.end())
+           ||
+           (k_to_max_U_map[k_vectors_magnitude[f]] <
+            std::abs (fourier_coefficients[f])))
+         k_to_max_U_map[k_vectors_magnitude[f]]
+           = std::abs (fourier_coefficients[f]);
+      
+                                      // now we have to calculate the
+                                      // various contributions to the
+                                      // formula for mu. we'll only
+                                      // take those fourier
+                                      // coefficients with the
+                                      // largest value for a given
+                                      // |k|
+      double  sum_1           = 0,
+             sum_ln_k        = 0,
+             sum_ln_k_square = 0,
+             sum_ln_U        = 0,
+             sum_ln_U_ln_k   = 0;
+      for (unsigned int f=0; f<n_fourier_modes; ++f)
+       if (k_to_max_U_map[k_vectors_magnitude[f]] ==
+           std::abs (fourier_coefficients[f]))
+         {
+           sum_1 += 1;
+           sum_ln_k += ln_k[f];
+           sum_ln_k_square += ln_k[f]*ln_k[f];
+           sum_ln_U += std::log (std::abs (fourier_coefficients[f]));
+           sum_ln_U_ln_k += std::log (std::abs (fourier_coefficients[f])) * ln_k[f];
+         }
+
+      const double mu
+       = (1./(sum_1*sum_ln_k_square - sum_ln_k*sum_ln_k)
+          *
+          (sum_ln_k*sum_ln_U - sum_1*sum_ln_U_ln_k));
+      
+      smoothness_indicators(index) = mu - 1.*dim/2;
+    }
+}
+
+
+
+  
+template <int dim>
+void LaplaceProblem<dim>::refine_grid ()
+{
+  Vector<float> estimated_error_per_cell (triangulation.n_active_cells());
+  KellyErrorEstimator<dim>::estimate (dof_handler,
+                                     face_quadrature_collection,
+                                     typename FunctionMap<dim>::type(),
+                                     solution,
+                                     estimated_error_per_cell);
+
+  Vector<float> smoothness_indicators (triangulation.n_active_cells());
+  estimate_smoothness (smoothness_indicators);
+  
+  GridRefinement::refine_and_coarsen_fixed_number (triangulation,
+                                                  estimated_error_per_cell,
+                                                  0.3, 0.03);
+
+  float max_smoothness = 0,
+        min_smoothness = smoothness_indicators.linfty_norm();
+  {
+    typename hp::DoFHandler<dim>::active_cell_iterator
+      cell = dof_handler.begin_active(),
+      endc = dof_handler.end();
+    for (unsigned int index=0; cell!=endc; ++cell, ++index)
+      if (cell->refine_flag_set())
+       {
+         max_smoothness = std::max (max_smoothness,
+                                    smoothness_indicators(index));
+         min_smoothness = std::min (min_smoothness,
+                                    smoothness_indicators(index));
+       }
+  }
+  const float cutoff_smoothness = (max_smoothness + min_smoothness) / 2;
+  {
+    typename hp::DoFHandler<dim>::active_cell_iterator
+      cell = dof_handler.begin_active(),
+      endc = dof_handler.end();
+    for (unsigned int index=0; cell!=endc; ++cell, ++index)
+      if (cell->refine_flag_set()
+         &&
+         (smoothness_indicators(index) > cutoff_smoothness)
+         &&
+         !(cell->active_fe_index() == fe_collection.size() - 1))
+       {
+         cell->clear_refine_flag();
+         cell->set_active_fe_index (std::min (cell->active_fe_index() + 1,
+                                              fe_collection.size() - 1));
+       }
+  } 
+  
+  triangulation.execute_coarsening_and_refinement ();
+}
+
+
+
+template <int dim>
+void LaplaceProblem<dim>::output_results (const unsigned int cycle) const
+{
+  Assert (cycle < 10, ExcNotImplemented());
+  
+  {
+    const std::string filename = "grid-" +
+                                Utilities::int_to_string (cycle, 2) +
+                                ".eps";
+    std::ofstream output (filename.c_str());
+    
+    GridOut grid_out;
+    grid_out.write_eps (triangulation, output);
+  }
+  
+  {
+    Vector<float> smoothness_indicators (triangulation.n_active_cells());
+    estimate_smoothness (smoothness_indicators);
+
+    Vector<double> smoothness_field (dof_handler.n_dofs());
+    DoFTools::distribute_cell_to_dof_vector (dof_handler,
+                                            smoothness_indicators,
+                                            smoothness_field);
+
+    Vector<float> fe_indices (triangulation.n_active_cells());
+    {
+      typename hp::DoFHandler<dim>::active_cell_iterator
+       cell = dof_handler.begin_active(),
+       endc = dof_handler.end();
+      for (unsigned int index=0; cell!=endc; ++cell, ++index)
+       {
+         
+         fe_indices(index) = cell->active_fe_index();
+//       smoothness_indicators(index) *= std::sqrt(cell->diameter());
+       }
+    }
+    
+    const std::string filename = "solution-" +
+                                Utilities::int_to_string (cycle, 2) +
+                                ".vtk";
+    DataOut<dim,hp::DoFHandler<dim> > data_out;
+
+    data_out.attach_dof_handler (dof_handler);
+    data_out.add_data_vector (solution, "solution");
+    data_out.add_data_vector (smoothness_indicators, "smoothness1");
+    data_out.add_data_vector (smoothness_field, "smoothness2");
+    data_out.add_data_vector (fe_indices, "fe_index");
+    data_out.build_patches ();
+  
+    std::ofstream output (filename.c_str());
+    data_out.write_vtk (output);
+  }
+}
+
+
+template <>
+void LaplaceProblem<2>::create_coarse_grid ()
+{
+  const unsigned int dim = 2;
+  
+  static const Point<2> vertices_1[]
+    = {  Point<2> (-1.,   -1.),
+         Point<2> (-1./2, -1.),
+         Point<2> (0.,    -1.),
+         Point<2> (+1./2, -1.),
+         Point<2> (+1,    -1.),
+            
+         Point<2> (-1.,   -1./2.),
+         Point<2> (-1./2, -1./2.),
+         Point<2> (0.,    -1./2.),
+         Point<2> (+1./2, -1./2.),
+         Point<2> (+1,    -1./2.),
+            
+         Point<2> (-1.,   0.),
+         Point<2> (-1./2, 0.),
+         Point<2> (+1./2, 0.),
+         Point<2> (+1,    0.),
+            
+         Point<2> (-1.,   1./2.),
+         Point<2> (-1./2, 1./2.),
+         Point<2> (0.,    1./2.),
+         Point<2> (+1./2, 1./2.),
+         Point<2> (+1,    1./2.),
+            
+         Point<2> (-1.,   1.),
+         Point<2> (-1./2, 1.),
+         Point<2> (0.,    1.),                   
+         Point<2> (+1./2, 1.),
+         Point<2> (+1,    1.)    };
+  const unsigned int
+    n_vertices = sizeof(vertices_1) / sizeof(vertices_1[0]);
+  const std::vector<Point<dim> > vertices (&vertices_1[0],
+                                           &vertices_1[n_vertices]);
+  static const int cell_vertices[][GeometryInfo<dim>::vertices_per_cell]
+    = {{0, 1, 5, 6},
+       {1, 2, 6, 7},
+       {2, 3, 7, 8},
+       {3, 4, 8, 9},
+       {5, 6, 10, 11},
+       {8, 9, 12, 13},
+       {10, 11, 14, 15},
+       {12, 13, 17, 18},
+       {14, 15, 19, 20},
+       {15, 16, 20, 21},
+       {16, 17, 21, 22},
+       {17, 18, 22, 23}};
+  const unsigned int
+    n_cells = sizeof(cell_vertices) / sizeof(cell_vertices[0]);
+
+  std::vector<CellData<dim> > cells (n_cells, CellData<dim>());
+  for (unsigned int i=0; i<n_cells; ++i) 
+    {
+      for (unsigned int j=0;
+           j<GeometryInfo<dim>::vertices_per_cell;
+           ++j)
+        cells[i].vertices[j] = cell_vertices[i][j];
+      cells[i].material_id = 0;
+    }
+
+  triangulation.create_triangulation (vertices,
+                                    cells,
+                                    SubCellData());
+  triangulation.refine_global (3);
+}
+
+
+
+template <>
+void LaplaceProblem<3>::create_coarse_grid ()
+{
+  GridGenerator::hyper_cube (triangulation);
+  triangulation.refine_global (1);
+}
+
+
+
+template <int dim>
+void LaplaceProblem<dim>::run () 
+{
+  for (unsigned int cycle=0; cycle<4; ++cycle)
+    {
+      deallog << "Cycle " << cycle << ':' << std::endl;
+
+      if (cycle == 0)
+       create_coarse_grid ();
+      else
+       refine_grid ();
+      
+
+      deallog << "   Number of active cells:       "
+               << triangulation.n_active_cells()
+               << std::endl;
+
+      Timer all;
+      all.start();
+      setup_system ();
+
+      deallog << "   Number of degrees of freedom: "
+               << dof_handler.n_dofs()
+               << std::endl;
+      deallog << "   Number of constraints       : "
+               << hanging_node_constraints.n_constraints()
+               << std::endl;
+      
+      assemble_system ();
+      solve ();
+      all.stop();
+
+    }
+}
+
+int main () 
+{
+  std::ofstream logfile(logname);
+  logfile.precision (3);
+  
+  deallog.attach(logfile);
+  deallog.depth_console(0);
+  deallog.threshold_double(1.e-10);
+  try
+    {
+      LaplaceProblem<3> laplace_problem_2d;
+      laplace_problem_2d.run ();
+    }
+  catch (std::exception &exc)
+    {
+      std::cerr << std::endl << std::endl
+               << "----------------------------------------------------"
+               << std::endl;
+      std::cerr << "Exception on processing: " << std::endl
+               << exc.what() << std::endl
+               << "Aborting!" << std::endl
+               << "----------------------------------------------------"
+               << std::endl;
+
+      return 1;
+    }
+  catch (...) 
+    {
+      std::cerr << std::endl << std::endl
+               << "----------------------------------------------------"
+               << std::endl;
+      std::cerr << "Unknown exception!" << std::endl
+               << "Aborting!" << std::endl
+               << "----------------------------------------------------"
+               << std::endl;
+      return 1;
+    }
+
+  return 0;
+}

diff --git a/tests/hp/crash_17_compressed_set_sparsity/cmp/generic b/tests/hp/crash_17_compressed_set_sparsity/cmp/generic
new file mode 100644 (file)
index 0000000..d0bbff1
--- /dev/null
+++ b/tests/hp/crash_17_compressed_set_sparsity/cmp/generic
@@ -0,0 +1,5344 @@
+
+DEAL::Cycle 0:
+DEAL::   Number of active cells:       8
+digraph constraints {
+}
+DEAL::   Number of degrees of freedom: 125
+DEAL::   Number of constraints       : 0
+DEAL:cg::Starting value 0.438
+DEAL:cg::Convergence step 6 value 2.57e-09
+DEAL::Cycle 1:
+DEAL::   Number of active cells:       22
+digraph constraints {
+  150->35; // weight: 1.00
+  151->13; // weight: 1.00
+  152->43; // weight: 1.00
+  157->5; // weight: 0.375
+  157->7; // weight: -0.125
+  157->13; // weight: 0.750
+  158->35; // weight: 0.375
+  158->36; // weight: -0.125
+  158->43; // weight: 0.750
+  159->5; // weight: 0.375
+  159->29; // weight: -0.125
+  159->35; // weight: 0.750
+  160->13; // weight: 0.375
+  160->34; // weight: -0.125
+  160->43; // weight: 0.750
+  173->5; // weight: 0.141
+  173->29; // weight: -0.0469
+  173->7; // weight: -0.0469
+  173->30; // weight: 0.0156
+  173->13; // weight: 0.281
+  173->34; // weight: -0.0938
+  173->35; // weight: 0.281
+  173->36; // weight: -0.0938
+  173->43; // weight: 0.562
+  176->34; // weight: 1.00
+  179->29; // weight: 0.375
+  179->30; // weight: -0.125
+  179->34; // weight: 0.750
+  180->5; // weight: -0.125
+  180->29; // weight: 0.375
+  180->35; // weight: 0.750
+  181->13; // weight: -0.125
+  181->34; // weight: 0.375
+  181->43; // weight: 0.750
+  190->5; // weight: -0.0469
+  190->29; // weight: 0.141
+  190->7; // weight: 0.0156
+  190->30; // weight: -0.0469
+  190->13; // weight: -0.0938
+  190->34; // weight: 0.281
+  190->35; // weight: 0.281
+  190->36; // weight: -0.0938
+  190->43; // weight: 0.562
+  193->36; // weight: 1.00
+  196->5; // weight: -0.125
+  196->7; // weight: 0.375
+  196->13; // weight: 0.750
+  197->35; // weight: -0.125
+  197->36; // weight: 0.375
+  197->43; // weight: 0.750
+  198->7; // weight: 0.375
+  198->30; // weight: -0.125
+  198->36; // weight: 0.750
+  207->5; // weight: -0.0469
+  207->29; // weight: 0.0156
+  207->7; // weight: 0.141
+  207->30; // weight: -0.0469
+  207->13; // weight: 0.281
+  207->34; // weight: -0.0938
+  207->35; // weight: -0.0938
+  207->36; // weight: 0.281
+  207->43; // weight: 0.562
+  211->29; // weight: -0.125
+  211->30; // weight: 0.375
+  211->34; // weight: 0.750
+  212->7; // weight: -0.125
+  212->30; // weight: 0.375
+  212->36; // weight: 0.750
+  218->5; // weight: 0.0156
+  218->29; // weight: -0.0469
+  218->7; // weight: -0.0469
+  218->30; // weight: 0.141
+  218->13; // weight: -0.0938
+  218->34; // weight: 0.281
+  218->35; // weight: -0.0938
+  218->36; // weight: 0.281
+  218->43; // weight: 0.562
+  269->15; // weight: 1.00
+  270->52; // weight: 1.00
+  271->61; // weight: 1.00
+  276->6; // weight: 0.375
+  276->47; // weight: -0.125
+  276->52; // weight: 0.750
+  277->15; // weight: 0.375
+  277->54; // weight: -0.125
+  277->61; // weight: 0.750
+  278->6; // weight: 0.375
+  278->7; // weight: -0.125
+  278->15; // weight: 0.750
+  279->52; // weight: 0.375
+  279->53; // weight: -0.125
+  279->61; // weight: 0.750
+  292->6; // weight: 0.141
+  292->7; // weight: -0.0469
+  292->47; // weight: -0.0469
+  292->48; // weight: 0.0156
+  292->52; // weight: 0.281
+  292->53; // weight: -0.0938
+  292->15; // weight: 0.281
+  292->54; // weight: -0.0938
+  292->61; // weight: 0.562
+  295->53; // weight: 1.00
+  297->7; // weight: 0.375
+  297->48; // weight: -0.125
+  297->53; // weight: 0.750
+  298->6; // weight: -0.125
+  298->7; // weight: 0.375
+  298->15; // weight: 0.750
+  299->52; // weight: -0.125
+  299->53; // weight: 0.375
+  299->61; // weight: 0.750
+  307->6; // weight: -0.0469
+  307->7; // weight: 0.141
+  307->47; // weight: 0.0156
+  307->48; // weight: -0.0469
+  307->52; // weight: -0.0938
+  307->53; // weight: 0.281
+  307->15; // weight: 0.281
+  307->54; // weight: -0.0938
+  307->61; // weight: 0.562
+  310->54; // weight: 1.00
+  313->6; // weight: -0.125
+  313->47; // weight: 0.375
+  313->52; // weight: 0.750
+  314->15; // weight: -0.125
+  314->54; // weight: 0.375
+  314->61; // weight: 0.750
+  315->47; // weight: 0.375
+  315->48; // weight: -0.125
+  315->54; // weight: 0.750
+  324->6; // weight: -0.0469
+  324->7; // weight: 0.0156
+  324->47; // weight: 0.141
+  324->48; // weight: -0.0469
+  324->52; // weight: 0.281
+  324->53; // weight: -0.0938
+  324->15; // weight: -0.0938
+  324->54; // weight: 0.281
+  324->61; // weight: 0.562
+  328->7; // weight: -0.125
+  328->48; // weight: 0.375
+  328->53; // weight: 0.750
+  329->47; // weight: -0.125
+  329->48; // weight: 0.375
+  329->54; // weight: 0.750
+  335->6; // weight: 0.0156
+  335->7; // weight: -0.0469
+  335->47; // weight: -0.0469
+  335->48; // weight: 0.141
+  335->52; // weight: -0.0938
+  335->53; // weight: 0.281
+  335->15; // weight: -0.0938
+  335->54; // weight: 0.281
+  335->61; // weight: 0.562
+  94->7; // weight: 0.222
+  94->48; // weight: -0.111
+  94->53; // weight: 0.889
+  95->7; // weight: -0.111
+  95->48; // weight: 0.222
+  95->53; // weight: 0.889
+  96->30; // weight: 0.222
+  96->64; // weight: -0.111
+  96->67; // weight: 0.889
+  97->30; // weight: -0.111
+  97->64; // weight: 0.222
+  97->67; // weight: 0.889
+  98->7; // weight: 0.222
+  98->30; // weight: -0.111
+  98->36; // weight: 0.889
+  99->7; // weight: -0.111
+  99->30; // weight: 0.222
+  99->36; // weight: 0.889
+  100->48; // weight: 0.222
+  100->64; // weight: -0.111
+  100->68; // weight: 0.889
+  101->48; // weight: -0.111
+  101->64; // weight: 0.222
+  101->68; // weight: 0.889
+  134->7; // weight: 0.0494
+  134->30; // weight: -0.0247
+  134->48; // weight: -0.0247
+  134->64; // weight: 0.0123
+  134->53; // weight: 0.198
+  134->67; // weight: -0.0988
+  134->36; // weight: 0.198
+  134->68; // weight: -0.0988
+  134->73; // weight: 0.790
+  135->7; // weight: -0.0247
+  135->30; // weight: 0.0494
+  135->48; // weight: 0.0123
+  135->64; // weight: -0.0247
+  135->53; // weight: -0.0988
+  135->67; // weight: 0.198
+  135->36; // weight: 0.198
+  135->68; // weight: -0.0988
+  135->73; // weight: 0.790
+  136->7; // weight: -0.0247
+  136->30; // weight: 0.0123
+  136->48; // weight: 0.0494
+  136->64; // weight: -0.0247
+  136->53; // weight: 0.198
+  136->67; // weight: -0.0988
+  136->36; // weight: -0.0988
+  136->68; // weight: 0.198
+  136->73; // weight: 0.790
+  137->7; // weight: 0.0123
+  137->30; // weight: -0.0247
+  137->48; // weight: -0.0247
+  137->64; // weight: 0.0494
+  137->53; // weight: -0.0988
+  137->67; // weight: 0.198
+  137->36; // weight: -0.0988
+  137->68; // weight: 0.198
+  137->73; // weight: 0.790
+  153->84; // weight: 1.00
+  155->88; // weight: 1.00
+  165->5; // weight: 0.375
+  165->76; // weight: -0.125
+  165->84; // weight: 0.750
+  167->13; // weight: 0.375
+  167->80; // weight: -0.125
+  167->88; // weight: 0.750
+  161->84; // weight: 0.375
+  161->86; // weight: -0.125
+  161->88; // weight: 0.750
+  169->5; // weight: 0.141
+  169->7; // weight: -0.0469
+  169->76; // weight: -0.0469
+  169->78; // weight: 0.0156
+  169->84; // weight: 0.281
+  169->86; // weight: -0.0938
+  169->13; // weight: 0.281
+  169->80; // weight: -0.0938
+  169->88; // weight: 0.562
+  194->86; // weight: 1.00
+  202->7; // weight: 0.375
+  202->78; // weight: -0.125
+  202->86; // weight: 0.750
+  199->84; // weight: -0.125
+  199->86; // weight: 0.375
+  199->88; // weight: 0.750
+  204->5; // weight: -0.0469
+  204->7; // weight: 0.141
+  204->76; // weight: 0.0156
+  204->78; // weight: -0.0469
+  204->84; // weight: -0.0938
+  204->86; // weight: 0.281
+  204->13; // weight: 0.281
+  204->80; // weight: -0.0938
+  204->88; // weight: 0.562
+  222->80; // weight: 1.00
+  228->5; // weight: -0.125
+  228->76; // weight: 0.375
+  228->84; // weight: 0.750
+  230->13; // weight: -0.125
+  230->80; // weight: 0.375
+  230->88; // weight: 0.750
+  224->76; // weight: 0.375
+  224->78; // weight: -0.125
+  224->80; // weight: 0.750
+  232->5; // weight: -0.0469
+  232->7; // weight: 0.0156
+  232->76; // weight: 0.141
+  232->78; // weight: -0.0469
+  232->84; // weight: 0.281
+  232->86; // weight: -0.0938
+  232->13; // weight: -0.0938
+  232->80; // weight: 0.281
+  232->88; // weight: 0.562
+  254->7; // weight: -0.125
+  254->78; // weight: 0.375
+  254->86; // weight: 0.750
+  251->76; // weight: -0.125
+  251->78; // weight: 0.375
+  251->80; // weight: 0.750
+  256->5; // weight: 0.0156
+  256->7; // weight: -0.0469
+  256->76; // weight: -0.0469
+  256->78; // weight: 0.141
+  256->84; // weight: -0.0938
+  256->86; // weight: 0.281
+  256->13; // weight: -0.0938
+  256->80; // weight: 0.281
+  256->88; // weight: 0.562
+  272->85; // weight: 1.00
+  273->90; // weight: 1.00
+  282->85; // weight: 0.375
+  282->86; // weight: -0.125
+  282->90; // weight: 0.750
+  284->6; // weight: 0.375
+  284->77; // weight: -0.125
+  284->85; // weight: 0.750
+  285->15; // weight: 0.375
+  285->82; // weight: -0.125
+  285->90; // weight: 0.750
+  290->6; // weight: 0.141
+  290->77; // weight: -0.0469
+  290->7; // weight: -0.0469
+  290->78; // weight: 0.0156
+  290->15; // weight: 0.281
+  290->82; // weight: -0.0938
+  290->85; // weight: 0.281
+  290->86; // weight: -0.0938
+  290->90; // weight: 0.562
+  338->82; // weight: 1.00
+  343->77; // weight: 0.375
+  343->78; // weight: -0.125
+  343->82; // weight: 0.750
+  345->6; // weight: -0.125
+  345->77; // weight: 0.375
+  345->85; // weight: 0.750
+  346->15; // weight: -0.125
+  346->82; // weight: 0.375
+  346->90; // weight: 0.750
+  351->6; // weight: -0.0469
+  351->77; // weight: 0.141
+  351->7; // weight: 0.0156
+  351->78; // weight: -0.0469
+  351->15; // weight: -0.0938
+  351->82; // weight: 0.281
+  351->85; // weight: 0.281
+  351->86; // weight: -0.0938
+  351->90; // weight: 0.562
+  301->85; // weight: -0.125
+  301->86; // weight: 0.375
+  301->90; // weight: 0.750
+  305->6; // weight: -0.0469
+  305->77; // weight: 0.0156
+  305->7; // weight: 0.141
+  305->78; // weight: -0.0469
+  305->15; // weight: 0.281
+  305->82; // weight: -0.0938
+  305->85; // weight: -0.0938
+  305->86; // weight: 0.281
+  305->90; // weight: 0.562
+  357->77; // weight: -0.125
+  357->78; // weight: 0.375
+  357->82; // weight: 0.750
+  361->6; // weight: 0.0156
+  361->77; // weight: -0.0469
+  361->7; // weight: -0.0469
+  361->78; // weight: 0.141
+  361->15; // weight: -0.0938
+  361->82; // weight: 0.281
+  361->85; // weight: -0.0938
+  361->86; // weight: 0.281
+  361->90; // weight: 0.562
+  111->7; // weight: -0.333
+  111->78; // weight: 0.333
+  111->110; // weight: 1.00
+  115->48; // weight: -0.333
+  115->377; // weight: 0.333
+  115->114; // weight: 1.00
+  103->78; // weight: -0.333
+  103->377; // weight: 0.333
+  103->102; // weight: 1.00
+  119->110; // weight: -0.333
+  119->114; // weight: 0.333
+  119->118; // weight: 1.00
+  120->94; // weight: -0.333
+  120->102; // weight: 0.333
+  120->118; // weight: 1.00
+  121->7; // weight: 0.111
+  121->48; // weight: -0.111
+  121->78; // weight: -0.111
+  121->377; // weight: 0.111
+  121->110; // weight: -0.333
+  121->114; // weight: 0.333
+  121->94; // weight: -0.333
+  121->102; // weight: 0.333
+  121->118; // weight: 1.00
+  296->7; // weight: 0.0625
+  296->48; // weight: -0.0312
+  296->78; // weight: -0.0312
+  296->377; // weight: 0.0156
+  296->110; // weight: -0.281
+  296->114; // weight: 0.141
+  296->94; // weight: -0.281
+  296->102; // weight: 0.141
+  296->118; // weight: 1.27
+  303->7; // weight: -0.0469
+  303->48; // weight: 0.0234
+  303->78; // weight: 0.00781
+  303->377; // weight: 0.00391
+  303->110; // weight: -0.211
+  303->114; // weight: 0.105
+  303->94; // weight: 0.211
+  303->102; // weight: -0.0352
+  303->118; // weight: 0.949
+  300->7; // weight: -0.0469
+  300->48; // weight: 0.00781
+  300->78; // weight: 0.0234
+  300->377; // weight: 0.00391
+  300->110; // weight: 0.211
+  300->114; // weight: -0.0352
+  300->94; // weight: -0.211
+  300->102; // weight: 0.105
+  300->118; // weight: 0.949
+  304->7; // weight: 0.0352
+  304->48; // weight: 0.00586
+  304->78; // weight: 0.00586
+  304->377; // weight: 0.000977
+  304->110; // weight: 0.158
+  304->114; // weight: -0.0264
+  304->94; // weight: 0.158
+  304->102; // weight: -0.0264
+  304->118; // weight: 0.712
+  327->48; // weight: -0.250
+  327->377; // weight: 0.125
+  327->114; // weight: 1.12
+  332->48; // weight: 0.188
+  332->377; // weight: -0.0312
+  332->114; // weight: 0.844
+  330->7; // weight: 0.0781
+  330->48; // weight: -0.117
+  330->78; // weight: -0.0391
+  330->377; // weight: 0.0586
+  330->110; // weight: -0.352
+  330->114; // weight: 0.527
+  330->94; // weight: -0.211
+  330->102; // weight: 0.105
+  330->118; // weight: 0.949
+  333->7; // weight: -0.0586
+  333->48; // weight: 0.0879
+  333->78; // weight: 0.00977
+  333->377; // weight: -0.0146
+  333->110; // weight: -0.264
+  333->114; // weight: 0.396
+  333->94; // weight: 0.158
+  333->102; // weight: -0.0264
+  333->118; // weight: 0.712
+  355->78; // weight: -0.250
+  355->377; // weight: 0.125
+  355->102; // weight: 1.12
+  359->7; // weight: 0.0781
+  359->48; // weight: -0.0391
+  359->78; // weight: -0.117
+  359->377; // weight: 0.0586
+  359->110; // weight: -0.211
+  359->114; // weight: 0.105
+  359->94; // weight: -0.352
+  359->102; // weight: 0.527
+  359->118; // weight: 0.949
+  356->78; // weight: 0.188
+  356->377; // weight: -0.0312
+  356->102; // weight: 0.844
+  360->7; // weight: -0.0586
+  360->48; // weight: 0.00977
+  360->78; // weight: 0.0879
+  360->377; // weight: -0.0146
+  360->110; // weight: 0.158
+  360->114; // weight: -0.0264
+  360->94; // weight: -0.264
+  360->102; // weight: 0.396
+  360->118; // weight: 0.712
+  380->48; // weight: -0.312
+  380->377; // weight: 0.469
+  380->114; // weight: 0.844
+  378->78; // weight: -0.312
+  378->377; // weight: 0.469
+  378->102; // weight: 0.844
+  381->7; // weight: 0.0977
+  381->48; // weight: -0.146
+  381->78; // weight: -0.146
+  381->377; // weight: 0.220
+  381->110; // weight: -0.264
+  381->114; // weight: 0.396
+  381->94; // weight: -0.264
+  381->102; // weight: 0.396
+  381->118; // weight: 0.712
+  107->78; // weight: -0.333
+  107->261; // weight: 0.333
+  107->106; // weight: 1.00
+  113->30; // weight: -0.333
+  113->261; // weight: 0.333
+  113->112; // weight: 1.00
+  127->98; // weight: -0.333
+  127->106; // weight: 0.333
+  127->126; // weight: 1.00
+  128->110; // weight: -0.333
+  128->112; // weight: 0.333
+  128->126; // weight: 1.00
+  129->7; // weight: 0.111
+  129->78; // weight: -0.111
+  129->30; // weight: -0.111
+  129->261; // weight: 0.111
+  129->98; // weight: -0.333
+  129->106; // weight: 0.333
+  129->110; // weight: -0.333
+  129->112; // weight: 0.333
+  129->126; // weight: 1.00
+  195->7; // weight: 0.0625
+  195->78; // weight: -0.0312
+  195->30; // weight: -0.0312
+  195->261; // weight: 0.0156
+  195->98; // weight: -0.281
+  195->106; // weight: 0.141
+  195->110; // weight: -0.281
+  195->112; // weight: 0.141
+  195->126; // weight: 1.27
+  201->7; // weight: -0.0469
+  201->78; // weight: 0.0234
+  201->30; // weight: 0.00781
+  201->261; // weight: 0.00391
+  201->98; // weight: -0.211
+  201->106; // weight: 0.105
+  201->110; // weight: 0.211
+  201->112; // weight: -0.0352
+  201->126; // weight: 0.949
+  203->7; // weight: -0.0469
+  203->78; // weight: 0.00781
+  203->30; // weight: 0.0234
+  203->261; // weight: 0.00391
+  203->98; // weight: 0.211
+  203->106; // weight: -0.0352
+  203->110; // weight: -0.211
+  203->112; // weight: 0.105
+  203->126; // weight: 0.949
+  206->7; // weight: 0.0352
+  206->78; // weight: 0.00586
+  206->30; // weight: 0.00586
+  206->261; // weight: 0.000977
+  206->98; // weight: 0.158
+  206->106; // weight: -0.0264
+  206->110; // weight: 0.158
+  206->112; // weight: -0.0264
+  206->126; // weight: 0.712
+  250->78; // weight: -0.250
+  250->261; // weight: 0.125
+  250->106; // weight: 1.12
+  253->78; // weight: 0.188
+  253->261; // weight: -0.0312
+  253->106; // weight: 0.844
+  255->7; // weight: 0.0781
+  255->78; // weight: -0.117
+  255->30; // weight: -0.0391
+  255->261; // weight: 0.0586
+  255->98; // weight: -0.352
+  255->106; // weight: 0.527
+  255->110; // weight: -0.211
+  255->112; // weight: 0.105
+  255->126; // weight: 0.949
+  258->7; // weight: -0.0586
+  258->78; // weight: 0.0879
+  258->30; // weight: 0.00977
+  258->261; // weight: -0.0146
+  258->98; // weight: -0.264
+  258->106; // weight: 0.396
+  258->110; // weight: 0.158
+  258->112; // weight: -0.0264
+  258->126; // weight: 0.712
+  210->30; // weight: -0.250
+  210->261; // weight: 0.125
+  210->112; // weight: 1.12
+  214->7; // weight: 0.0781
+  214->78; // weight: -0.0391
+  214->30; // weight: -0.117
+  214->261; // weight: 0.0586
+  214->98; // weight: -0.211
+  214->106; // weight: 0.105
+  214->110; // weight: -0.352
+  214->112; // weight: 0.527
+  214->126; // weight: 0.949
+  215->30; // weight: 0.188
+  215->261; // weight: -0.0312
+  215->112; // weight: 0.844
+  217->7; // weight: -0.0586
+  217->78; // weight: 0.00977
+  217->30; // weight: 0.0879
+  217->261; // weight: -0.0146
+  217->98; // weight: 0.158
+  217->106; // weight: -0.0264
+  217->110; // weight: -0.264
+  217->112; // weight: 0.396
+  217->126; // weight: 0.712
+  263->78; // weight: -0.312
+  263->261; // weight: 0.469
+  263->106; // weight: 0.844
+  264->30; // weight: -0.312
+  264->261; // weight: 0.469
+  264->112; // weight: 0.844
+  266->7; // weight: 0.0977
+  266->78; // weight: -0.146
+  266->30; // weight: -0.146
+  266->261; // weight: 0.220
+  266->98; // weight: -0.264
+  266->106; // weight: 0.396
+  266->110; // weight: -0.264
+  266->112; // weight: 0.396
+  266->126; // weight: 0.712
+}
+DEAL::   Number of degrees of freedom: 385
+DEAL::   Number of constraints       : 128
+DEAL:cg::Starting value 0.337
+DEAL:cg::Convergence step 11 value 6.99e-10
+DEAL::Cycle 2:
+DEAL::   Number of active cells:       64
+digraph constraints {
+  49->2; // weight: 0.222
+  49->3; // weight: -0.111
+  49->11; // weight: 0.889
+  50->2; // weight: -0.111
+  50->3; // weight: 0.222
+  50->11; // weight: 0.889
+  57->6; // weight: 0.222
+  57->7; // weight: -0.111
+  57->15; // weight: 0.889
+  58->6; // weight: -0.111
+  58->7; // weight: 0.222
+  58->15; // weight: 0.889
+  61->2; // weight: 0.222
+  61->6; // weight: -0.111
+  61->18; // weight: 0.889
+  62->2; // weight: -0.111
+  62->6; // weight: 0.222
+  62->18; // weight: 0.889
+  63->3; // weight: 0.222
+  63->7; // weight: -0.111
+  63->19; // weight: 0.889
+  64->3; // weight: -0.111
+  64->7; // weight: 0.222
+  64->19; // weight: 0.889
+  77->2; // weight: 0.0494
+  77->6; // weight: -0.0247
+  77->3; // weight: -0.0247
+  77->7; // weight: 0.0123
+  77->11; // weight: 0.198
+  77->15; // weight: -0.0988
+  77->18; // weight: 0.198
+  77->19; // weight: -0.0988
+  77->23; // weight: 0.790
+  78->2; // weight: -0.0247
+  78->6; // weight: 0.0494
+  78->3; // weight: 0.0123
+  78->7; // weight: -0.0247
+  78->11; // weight: -0.0988
+  78->15; // weight: 0.198
+  78->18; // weight: 0.198
+  78->19; // weight: -0.0988
+  78->23; // weight: 0.790
+  79->2; // weight: -0.0247
+  79->6; // weight: 0.0123
+  79->3; // weight: 0.0494
+  79->7; // weight: -0.0247
+  79->11; // weight: 0.198
+  79->15; // weight: -0.0988
+  79->18; // weight: -0.0988
+  79->19; // weight: 0.198
+  79->23; // weight: 0.790
+  80->2; // weight: 0.0123
+  80->6; // weight: -0.0247
+  80->3; // weight: -0.0247
+  80->7; // weight: 0.0494
+  80->11; // weight: -0.0988
+  80->15; // weight: 0.198
+  80->18; // weight: -0.0988
+  80->19; // weight: 0.198
+  80->23; // weight: 0.790
+  67->101; // weight: 0.222
+  67->103; // weight: -0.111
+  67->111; // weight: 0.889
+  68->101; // weight: -0.111
+  68->103; // weight: 0.222
+  68->111; // weight: 0.889
+  47->3; // weight: 0.222
+  47->101; // weight: -0.111
+  47->105; // weight: 0.889
+  48->3; // weight: -0.111
+  48->101; // weight: 0.222
+  48->105; // weight: 0.889
+  55->7; // weight: 0.222
+  55->103; // weight: -0.111
+  55->108; // weight: 0.889
+  56->7; // weight: -0.111
+  56->103; // weight: 0.222
+  56->108; // weight: 0.889
+  73->3; // weight: 0.0494
+  73->101; // weight: -0.0247
+  73->7; // weight: -0.0247
+  73->103; // weight: 0.0123
+  73->19; // weight: 0.198
+  73->111; // weight: -0.0988
+  73->105; // weight: 0.198
+  73->108; // weight: -0.0988
+  73->113; // weight: 0.790
+  74->3; // weight: -0.0247
+  74->101; // weight: 0.0494
+  74->7; // weight: 0.0123
+  74->103; // weight: -0.0247
+  74->19; // weight: -0.0988
+  74->111; // weight: 0.198
+  74->105; // weight: 0.198
+  74->108; // weight: -0.0988
+  74->113; // weight: 0.790
+  75->3; // weight: -0.0247
+  75->101; // weight: 0.0123
+  75->7; // weight: 0.0494
+  75->103; // weight: -0.0247
+  75->19; // weight: 0.198
+  75->111; // weight: -0.0988
+  75->105; // weight: -0.0988
+  75->108; // weight: 0.198
+  75->113; // weight: 0.790
+  76->3; // weight: 0.0123
+  76->101; // weight: -0.0247
+  76->7; // weight: -0.0247
+  76->103; // weight: 0.0494
+  76->19; // weight: -0.0988
+  76->111; // weight: 0.198
+  76->105; // weight: -0.0988
+  76->108; // weight: 0.198
+  76->113; // weight: 0.790
+  809->101; // weight: 0.222
+  809->102; // weight: -0.111
+  809->107; // weight: 0.889
+  810->101; // weight: -0.111
+  810->102; // weight: 0.222
+  810->107; // weight: 0.889
+  815->103; // weight: 0.222
+  815->104; // weight: -0.111
+  815->110; // weight: 0.889
+  816->103; // weight: -0.111
+  816->104; // weight: 0.222
+  816->110; // weight: 0.889
+  819->102; // weight: 0.222
+  819->104; // weight: -0.111
+  819->112; // weight: 0.889
+  820->102; // weight: -0.111
+  820->104; // weight: 0.222
+  820->112; // weight: 0.889
+  827->101; // weight: 0.0494
+  827->103; // weight: -0.0247
+  827->102; // weight: -0.0247
+  827->104; // weight: 0.0123
+  827->107; // weight: 0.198
+  827->110; // weight: -0.0988
+  827->111; // weight: 0.198
+  827->112; // weight: -0.0988
+  827->115; // weight: 0.790
+  828->101; // weight: -0.0247
+  828->103; // weight: 0.0494
+  828->102; // weight: 0.0123
+  828->104; // weight: -0.0247
+  828->107; // weight: -0.0988
+  828->110; // weight: 0.198
+  828->111; // weight: 0.198
+  828->112; // weight: -0.0988
+  828->115; // weight: 0.790
+  829->101; // weight: -0.0247
+  829->103; // weight: 0.0123
+  829->102; // weight: 0.0494
+  829->104; // weight: -0.0247
+  829->107; // weight: 0.198
+  829->110; // weight: -0.0988
+  829->111; // weight: -0.0988
+  829->112; // weight: 0.198
+  829->115; // weight: 0.790
+  830->101; // weight: 0.0123
+  830->103; // weight: -0.0247
+  830->102; // weight: -0.0247
+  830->104; // weight: 0.0494
+  830->107; // weight: -0.0988
+  830->110; // weight: 0.198
+  830->111; // weight: -0.0988
+  830->112; // weight: 0.198
+  830->115; // weight: 0.790
+  59->149; // weight: 0.222
+  59->103; // weight: -0.111
+  59->153; // weight: 0.889
+  60->149; // weight: -0.111
+  60->103; // weight: 0.222
+  60->153; // weight: 0.889
+  936->150; // weight: 0.222
+  936->151; // weight: -0.111
+  936->156; // weight: 0.889
+  937->150; // weight: -0.111
+  937->151; // weight: 0.222
+  937->156; // weight: 0.889
+  940->149; // weight: 0.222
+  940->150; // weight: -0.111
+  940->157; // weight: 0.889
+  941->149; // weight: -0.111
+  941->150; // weight: 0.222
+  941->157; // weight: 0.889
+  942->103; // weight: 0.222
+  942->151; // weight: -0.111
+  942->158; // weight: 0.889
+  943->103; // weight: -0.111
+  943->151; // weight: 0.222
+  943->158; // weight: 0.889
+  956->149; // weight: 0.0494
+  956->150; // weight: -0.0247
+  956->103; // weight: -0.0247
+  956->151; // weight: 0.0123
+  956->153; // weight: 0.198
+  956->156; // weight: -0.0988
+  956->157; // weight: 0.198
+  956->158; // weight: -0.0988
+  956->161; // weight: 0.790
+  957->149; // weight: -0.0247
+  957->150; // weight: 0.0494
+  957->103; // weight: 0.0123
+  957->151; // weight: -0.0247
+  957->153; // weight: -0.0988
+  957->156; // weight: 0.198
+  957->157; // weight: 0.198
+  957->158; // weight: -0.0988
+  957->161; // weight: 0.790
+  958->149; // weight: -0.0247
+  958->150; // weight: 0.0123
+  958->103; // weight: 0.0494
+  958->151; // weight: -0.0247
+  958->153; // weight: 0.198
+  958->156; // weight: -0.0988
+  958->157; // weight: -0.0988
+  958->158; // weight: 0.198
+  958->161; // weight: 0.790
+  959->149; // weight: 0.0123
+  959->150; // weight: -0.0247
+  959->103; // weight: -0.0247
+  959->151; // weight: 0.0494
+  959->153; // weight: -0.0988
+  959->156; // weight: 0.198
+  959->157; // weight: -0.0988
+  959->158; // weight: 0.198
+  959->161; // weight: 0.790
+  53->6; // weight: 0.222
+  53->149; // weight: -0.111
+  53->152; // weight: 0.889
+  54->6; // weight: -0.111
+  54->149; // weight: 0.222
+  54->152; // weight: 0.889
+  89->6; // weight: 0.0494
+  89->7; // weight: -0.0247
+  89->149; // weight: -0.0247
+  89->103; // weight: 0.0123
+  89->152; // weight: 0.198
+  89->108; // weight: -0.0988
+  89->15; // weight: 0.198
+  89->153; // weight: -0.0988
+  89->162; // weight: 0.790
+  90->6; // weight: -0.0247
+  90->7; // weight: 0.0494
+  90->149; // weight: 0.0123
+  90->103; // weight: -0.0247
+  90->152; // weight: -0.0988
+  90->108; // weight: 0.198
+  90->15; // weight: 0.198
+  90->153; // weight: -0.0988
+  90->162; // weight: 0.790
+  91->6; // weight: -0.0247
+  91->7; // weight: 0.0123
+  91->149; // weight: 0.0494
+  91->103; // weight: -0.0247
+  91->152; // weight: 0.198
+  91->108; // weight: -0.0988
+  91->15; // weight: -0.0988
+  91->153; // weight: 0.198
+  91->162; // weight: 0.790
+  92->6; // weight: 0.0123
+  92->7; // weight: -0.0247
+  92->149; // weight: -0.0247
+  92->103; // weight: 0.0494
+  92->152; // weight: -0.0988
+  92->108; // weight: 0.198
+  92->15; // weight: -0.0988
+  92->153; // weight: 0.198
+  92->162; // weight: 0.790
+  979->151; // weight: 0.222
+  979->165; // weight: -0.111
+  979->167; // weight: 0.889
+  980->151; // weight: -0.111
+  980->165; // weight: 0.222
+  980->167; // weight: 0.889
+  983->104; // weight: 0.222
+  983->165; // weight: -0.111
+  983->168; // weight: 0.889
+  984->104; // weight: -0.111
+  984->165; // weight: 0.222
+  984->168; // weight: 0.889
+  991->103; // weight: 0.0494
+  991->151; // weight: -0.0247
+  991->104; // weight: -0.0247
+  991->165; // weight: 0.0123
+  991->110; // weight: 0.198
+  991->167; // weight: -0.0988
+  991->158; // weight: 0.198
+  991->168; // weight: -0.0988
+  991->170; // weight: 0.790
+  992->103; // weight: -0.0247
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+  880->273; // weight: -0.0247
+  880->688; // weight: 0.0123
+  880->276; // weight: 0.198
+  880->689; // weight: -0.0988
+  880->674; // weight: 0.198
+  880->690; // weight: -0.0988
+  880->694; // weight: 0.790
+  881->272; // weight: -0.0247
+  881->672; // weight: 0.0494
+  881->273; // weight: 0.0123
+  881->688; // weight: -0.0247
+  881->276; // weight: -0.0988
+  881->689; // weight: 0.198
+  881->674; // weight: 0.198
+  881->690; // weight: -0.0988
+  881->694; // weight: 0.790
+  882->272; // weight: -0.0247
+  882->672; // weight: 0.0123
+  882->273; // weight: 0.0494
+  882->688; // weight: -0.0247
+  882->276; // weight: 0.198
+  882->689; // weight: -0.0988
+  882->674; // weight: -0.0988
+  882->690; // weight: 0.198
+  882->694; // weight: 0.790
+  883->272; // weight: 0.0123
+  883->672; // weight: -0.0247
+  883->273; // weight: -0.0247
+  883->688; // weight: 0.0494
+  883->276; // weight: -0.0988
+  883->689; // weight: 0.198
+  883->674; // weight: -0.0988
+  883->690; // weight: 0.198
+  883->694; // weight: 0.790
+  897->680; // weight: 0.222
+  897->696; // weight: -0.111
+  897->697; // weight: 0.889
+  898->680; // weight: -0.111
+  898->696; // weight: 0.222
+  898->697; // weight: 0.889
+  899->688; // weight: 0.222
+  899->696; // weight: -0.111
+  899->698; // weight: 0.889
+  900->688; // weight: -0.111
+  900->696; // weight: 0.222
+  900->698; // weight: 0.889
+  915->672; // weight: 0.0494
+  915->680; // weight: -0.0247
+  915->688; // weight: -0.0247
+  915->696; // weight: 0.0123
+  915->689; // weight: 0.198
+  915->697; // weight: -0.0988
+  915->682; // weight: 0.198
+  915->698; // weight: -0.0988
+  915->702; // weight: 0.790
+  916->672; // weight: -0.0247
+  916->680; // weight: 0.0494
+  916->688; // weight: 0.0123
+  916->696; // weight: -0.0247
+  916->689; // weight: -0.0988
+  916->697; // weight: 0.198
+  916->682; // weight: 0.198
+  916->698; // weight: -0.0988
+  916->702; // weight: 0.790
+  917->672; // weight: -0.0247
+  917->680; // weight: 0.0123
+  917->688; // weight: 0.0494
+  917->696; // weight: -0.0247
+  917->689; // weight: 0.198
+  917->697; // weight: -0.0988
+  917->682; // weight: -0.0988
+  917->698; // weight: 0.198
+  917->702; // weight: 0.790
+  918->672; // weight: 0.0123
+  918->680; // weight: -0.0247
+  918->688; // weight: -0.0247
+  918->696; // weight: 0.0494
+  918->689; // weight: -0.0988
+  918->697; // weight: 0.198
+  918->682; // weight: -0.0988
+  918->698; // weight: 0.198
+  918->702; // weight: 0.790
+  65->452; // weight: 0.222
+  65->149; // weight: -0.111
+  65->734; // weight: 0.889
+  66->452; // weight: -0.111
+  66->149; // weight: 0.222
+  66->734; // weight: 0.889
+  69->2; // weight: 0.0494
+  69->452; // weight: -0.0247
+  69->6; // weight: -0.0247
+  69->149; // weight: 0.0123
+  69->18; // weight: 0.198
+  69->734; // weight: -0.0988
+  69->453; // weight: 0.198
+  69->152; // weight: -0.0988
+  69->735; // weight: 0.790
+  70->2; // weight: -0.0247
+  70->452; // weight: 0.0494
+  70->6; // weight: 0.0123
+  70->149; // weight: -0.0247
+  70->18; // weight: -0.0988
+  70->734; // weight: 0.198
+  70->453; // weight: 0.198
+  70->152; // weight: -0.0988
+  70->735; // weight: 0.790
+  71->2; // weight: -0.0247
+  71->452; // weight: 0.0123
+  71->6; // weight: 0.0494
+  71->149; // weight: -0.0247
+  71->18; // weight: 0.198
+  71->734; // weight: -0.0988
+  71->453; // weight: -0.0988
+  71->152; // weight: 0.198
+  71->735; // weight: 0.790
+  72->2; // weight: 0.0123
+  72->452; // weight: -0.0247
+  72->6; // weight: -0.0247
+  72->149; // weight: 0.0494
+  72->18; // weight: -0.0988
+  72->734; // weight: 0.198
+  72->453; // weight: -0.0988
+  72->152; // weight: 0.198
+  72->735; // weight: 0.790
+  230->174; // weight: 0.0494
+  230->178; // weight: -0.0247
+  230->452; // weight: -0.0247
+  230->149; // weight: 0.0123
+  230->454; // weight: 0.198
+  230->310; // weight: -0.0988
+  230->190; // weight: 0.198
+  230->734; // weight: -0.0988
+  230->736; // weight: 0.790
+  231->174; // weight: -0.0247
+  231->178; // weight: 0.0494
+  231->452; // weight: 0.0123
+  231->149; // weight: -0.0247
+  231->454; // weight: -0.0988
+  231->310; // weight: 0.198
+  231->190; // weight: 0.198
+  231->734; // weight: -0.0988
+  231->736; // weight: 0.790
+  232->174; // weight: -0.0247
+  232->178; // weight: 0.0123
+  232->452; // weight: 0.0494
+  232->149; // weight: -0.0247
+  232->454; // weight: 0.198
+  232->310; // weight: -0.0988
+  232->190; // weight: -0.0988
+  232->734; // weight: 0.198
+  232->736; // weight: 0.790
+  233->174; // weight: 0.0123
+  233->178; // weight: -0.0247
+  233->452; // weight: -0.0247
+  233->149; // weight: 0.0494
+  233->454; // weight: -0.0988
+  233->310; // weight: 0.198
+  233->190; // weight: -0.0988
+  233->734; // weight: 0.198
+  233->736; // weight: 0.790
+}
+DEAL::   Number of degrees of freedom: 1073
+DEAL::   Number of constraints       : 172
+DEAL:cg::Starting value 0.149
+DEAL:cg::Convergence step 16 value 1.01e-09
+DEAL::Cycle 3:
+DEAL::   Number of active cells:       190
+digraph constraints {
+  1019->9; // weight: 1.00
+  1021->17; // weight: 1.00
+  1023->21; // weight: 1.00
+  1033->1; // weight: 0.375
+  1033->5; // weight: -0.125
+  1033->17; // weight: 0.750
+  1035->9; // weight: 0.375
+  1035->13; // weight: -0.125
+  1035->21; // weight: 0.750
+  1025->1; // weight: 0.375
+  1025->3; // weight: -0.125
+  1025->9; // weight: 0.750
+  1029->17; // weight: 0.375
+  1029->19; // weight: -0.125
+  1029->21; // weight: 0.750
+  1037->1; // weight: 0.141
+  1037->3; // weight: -0.0469
+  1037->5; // weight: -0.0469
+  1037->7; // weight: 0.0156
+  1037->17; // weight: 0.281
+  1037->19; // weight: -0.0938
+  1037->9; // weight: 0.281
+  1037->13; // weight: -0.0938
+  1037->21; // weight: 0.562
+  1062->19; // weight: 1.00
+  1070->3; // weight: 0.375
+  1070->7; // weight: -0.125
+  1070->19; // weight: 0.750
+  1064->1; // weight: -0.125
+  1064->3; // weight: 0.375
+  1064->9; // weight: 0.750
+  1067->17; // weight: -0.125
+  1067->19; // weight: 0.375
+  1067->21; // weight: 0.750
+  1072->1; // weight: -0.0469
+  1072->3; // weight: 0.141
+  1072->5; // weight: 0.0156
+  1072->7; // weight: -0.0469
+  1072->17; // weight: -0.0938
+  1072->19; // weight: 0.281
+  1072->9; // weight: 0.281
+  1072->13; // weight: -0.0938
+  1072->21; // weight: 0.562
+  1090->13; // weight: 1.00
+  1096->1; // weight: -0.125
+  1096->5; // weight: 0.375
+  1096->17; // weight: 0.750
+  1098->9; // weight: -0.125
+  1098->13; // weight: 0.375
+  1098->21; // weight: 0.750
+  1092->5; // weight: 0.375
+  1092->7; // weight: -0.125
+  1092->13; // weight: 0.750
+  1100->1; // weight: -0.0469
+  1100->3; // weight: 0.0156
+  1100->5; // weight: 0.141
+  1100->7; // weight: -0.0469
+  1100->17; // weight: 0.281
+  1100->19; // weight: -0.0938
+  1100->9; // weight: -0.0938
+  1100->13; // weight: 0.281
+  1100->21; // weight: 0.562
+  1122->3; // weight: -0.125
+  1122->7; // weight: 0.375
+  1122->19; // weight: 0.750
+  1119->5; // weight: -0.125
+  1119->7; // weight: 0.375
+  1119->13; // weight: 0.750
+  1124->1; // weight: 0.0156
+  1124->3; // weight: -0.0469
+  1124->5; // weight: -0.0469
+  1124->7; // weight: 0.141
+  1124->17; // weight: -0.0938
+  1124->19; // weight: 0.281
+  1124->9; // weight: -0.0938
+  1124->13; // weight: 0.281
+  1124->21; // weight: 0.562
+  33->2; // weight: 0.375
+  33->3; // weight: -0.125
+  33->11; // weight: 0.750
+  34->11; // weight: 1.00
+  35->2; // weight: -0.125
+  35->3; // weight: 0.375
+  35->11; // weight: 0.750
+  45->6; // weight: 0.375
+  45->7; // weight: -0.125
+  45->15; // weight: 0.750
+  46->15; // weight: 1.00
+  47->6; // weight: -0.125
+  47->7; // weight: 0.375
+  47->15; // weight: 0.750
+  51->2; // weight: 0.375
+  51->6; // weight: -0.125
+  51->18; // weight: 0.750
+  52->18; // weight: 1.00
+  53->2; // weight: -0.125
+  53->6; // weight: 0.375
+  53->18; // weight: 0.750
+  54->3; // weight: 0.375
+  54->7; // weight: -0.125
+  54->19; // weight: 0.750
+  55->19; // weight: 1.00
+  56->3; // weight: -0.125
+  56->7; // weight: 0.375
+  56->19; // weight: 0.750
+  80->2; // weight: 0.141
+  80->6; // weight: -0.0469
+  80->3; // weight: -0.0469
+  80->7; // weight: 0.0156
+  80->11; // weight: 0.281
+  80->15; // weight: -0.0938
+  80->18; // weight: 0.281
+  80->19; // weight: -0.0938
+  80->23; // weight: 0.562
+  81->18; // weight: 0.375
+  81->19; // weight: -0.125
+  81->23; // weight: 0.750
+  82->2; // weight: -0.0469
+  82->6; // weight: 0.141
+  82->3; // weight: 0.0156
+  82->7; // weight: -0.0469
+  82->11; // weight: -0.0938
+  82->15; // weight: 0.281
+  82->18; // weight: 0.281
+  82->19; // weight: -0.0938
+  82->23; // weight: 0.562
+  83->11; // weight: 0.375
+  83->15; // weight: -0.125
+  83->23; // weight: 0.750
+  84->11; // weight: -0.125
+  84->15; // weight: 0.375
+  84->23; // weight: 0.750
+  85->2; // weight: -0.0469
+  85->6; // weight: 0.0156
+  85->3; // weight: 0.141
+  85->7; // weight: -0.0469
+  85->11; // weight: 0.281
+  85->15; // weight: -0.0938
+  85->18; // weight: -0.0938
+  85->19; // weight: 0.281
+  85->23; // weight: 0.562
+  86->18; // weight: -0.125
+  86->19; // weight: 0.375
+  86->23; // weight: 0.750
+  87->2; // weight: 0.0156
+  87->6; // weight: -0.0469
+  87->3; // weight: -0.0469
+  87->7; // weight: 0.141
+  87->11; // weight: -0.0938
+  87->15; // weight: 0.281
+  87->18; // weight: -0.0938
+  87->19; // weight: 0.281
+  87->23; // weight: 0.562
+  1235->14; // weight: 1.00
+  1236->12; // weight: 1.00
+  1237->25; // weight: 1.00
+  1242->4; // weight: 0.375
+  1242->6; // weight: -0.125
+  1242->12; // weight: 0.750
+  1243->14; // weight: 0.375
+  1243->15; // weight: -0.125
+  1243->25; // weight: 0.750
+  1244->4; // weight: 0.375
+  1244->5; // weight: -0.125
+  1244->14; // weight: 0.750
+  1245->12; // weight: 0.375
+  1245->13; // weight: -0.125
+  1245->25; // weight: 0.750
+  1258->4; // weight: 0.141
+  1258->5; // weight: -0.0469
+  1258->6; // weight: -0.0469
+  1258->7; // weight: 0.0156
+  1258->12; // weight: 0.281
+  1258->13; // weight: -0.0938
+  1258->14; // weight: 0.281
+  1258->15; // weight: -0.0938
+  1258->25; // weight: 0.562
+  1263->4; // weight: -0.125
+  1263->5; // weight: 0.375
+  1263->14; // weight: 0.750
+  1264->12; // weight: -0.125
+  1264->13; // weight: 0.375
+  1264->25; // weight: 0.750
+  1273->4; // weight: -0.0469
+  1273->5; // weight: 0.141
+  1273->6; // weight: 0.0156
+  1273->7; // weight: -0.0469
+  1273->12; // weight: -0.0938
+  1273->13; // weight: 0.281
+  1273->14; // weight: 0.281
+  1273->15; // weight: -0.0938
+  1273->25; // weight: 0.562
+  1276->15; // weight: 1.00
+  1279->4; // weight: -0.125
+  1279->6; // weight: 0.375
+  1279->12; // weight: 0.750
+  1280->14; // weight: -0.125
+  1280->15; // weight: 0.375
+  1280->25; // weight: 0.750
+  1281->6; // weight: 0.375
+  1281->7; // weight: -0.125
+  1281->15; // weight: 0.750
+  1290->4; // weight: -0.0469
+  1290->5; // weight: 0.0156
+  1290->6; // weight: 0.141
+  1290->7; // weight: -0.0469
+  1290->12; // weight: 0.281
+  1290->13; // weight: -0.0938
+  1290->14; // weight: -0.0938
+  1290->15; // weight: 0.281
+  1290->25; // weight: 0.562
+  1294->6; // weight: -0.125
+  1294->7; // weight: 0.375
+  1294->15; // weight: 0.750
+  1300->4; // weight: 0.0156
+  1300->5; // weight: -0.0469
+  1300->6; // weight: -0.0469
+  1300->7; // weight: 0.141
+  1300->12; // weight: -0.0938
+  1300->13; // weight: 0.281
+  1300->14; // weight: -0.0938
+  1300->15; // weight: 0.281
+  1300->25; // weight: 0.562
+  61->476; // weight: -0.500
+  61->1215; // weight: 0.167
+  61->60; // weight: 1.33
+  62->476; // weight: -0.500
+  62->1215; // weight: 0.500
+  62->60; // weight: 1.00
+  31->3; // weight: -0.500
+  31->476; // weight: 0.167
+  31->30; // weight: 1.33
+  32->3; // weight: -0.500
+  32->476; // weight: 0.500
+  32->30; // weight: 1.00
+  43->7; // weight: -0.500
+  43->1215; // weight: 0.167
+  43->42; // weight: 1.33
+  44->7; // weight: -0.500
+  44->1215; // weight: 0.500
+  44->42; // weight: 1.00
+  72->54; // weight: -0.500
+  72->60; // weight: 0.167
+  72->71; // weight: 1.33
+  73->54; // weight: -0.500
+  73->60; // weight: 0.500
+  73->71; // weight: 1.00
+  74->30; // weight: -0.500
+  74->42; // weight: 0.167
+  74->71; // weight: 1.33
+  75->3; // weight: 0.250
+  75->476; // weight: -0.0833
+  75->7; // weight: -0.0833
+  75->1215; // weight: 0.0278
+  75->54; // weight: -0.667
+  75->60; // weight: 0.222
+  75->30; // weight: -0.667
+  75->42; // weight: 0.222
+  75->71; // weight: 1.78
+  76->3; // weight: 0.250
+  76->476; // weight: -0.250
+  76->7; // weight: -0.0833
+  76->1215; // weight: 0.0833
+  76->54; // weight: -0.667
+  76->60; // weight: 0.667
+  76->30; // weight: -0.500
+  76->42; // weight: 0.167
+  76->71; // weight: 1.33
+  77->30; // weight: -0.500
+  77->42; // weight: 0.500
+  77->71; // weight: 1.00
+  78->3; // weight: 0.250
+  78->476; // weight: -0.0833
+  78->7; // weight: -0.250
+  78->1215; // weight: 0.0833
+  78->54; // weight: -0.500
+  78->60; // weight: 0.167
+  78->30; // weight: -0.667
+  78->42; // weight: 0.667
+  78->71; // weight: 1.33
+  79->3; // weight: 0.250
+  79->476; // weight: -0.250
+  79->7; // weight: -0.250
+  79->1215; // weight: 0.250
+  79->54; // weight: -0.500
+  79->60; // weight: 0.500
+  79->30; // weight: -0.500
+  79->42; // weight: 0.500
+  79->71; // weight: 1.00
+  1137->3; // weight: -0.500
+  1137->476; // weight: 0.167
+  1137->30; // weight: 1.33
+  1139->3; // weight: 0.250
+  1139->476; // weight: -0.0833
+  1139->7; // weight: -0.0833
+  1139->1215; // weight: 0.0278
+  1139->54; // weight: -0.667
+  1139->60; // weight: 0.222
+  1139->30; // weight: -0.667
+  1139->42; // weight: 0.222
+  1139->71; // weight: 1.78
+  1147->54; // weight: -0.500
+  1147->60; // weight: 0.167
+  1147->71; // weight: 1.33
+  1141->30; // weight: 1.00
+  1144->30; // weight: -0.500
+  1144->42; // weight: 0.167
+  1144->71; // weight: 1.33
+  1149->71; // weight: 1.00
+  1168->476; // weight: -0.500
+  1168->1215; // weight: 0.167
+  1168->60; // weight: 1.33
+  1176->60; // weight: 1.00
+  1170->3; // weight: -0.500
+  1170->476; // weight: 0.500
+  1170->30; // weight: 1.00
+  1173->3; // weight: 0.250
+  1173->476; // weight: -0.250
+  1173->7; // weight: -0.0833
+  1173->1215; // weight: 0.0833
+  1173->54; // weight: -0.667
+  1173->60; // weight: 0.667
+  1173->30; // weight: -0.500
+  1173->42; // weight: 0.167
+  1173->71; // weight: 1.33
+  1178->54; // weight: -0.500
+  1178->60; // weight: 0.500
+  1178->71; // weight: 1.00
+  1195->7; // weight: -0.500
+  1195->1215; // weight: 0.167
+  1195->42; // weight: 1.33
+  1200->3; // weight: 0.250
+  1200->476; // weight: -0.0833
+  1200->7; // weight: -0.250
+  1200->1215; // weight: 0.0833
+  1200->54; // weight: -0.500
+  1200->60; // weight: 0.167
+  1200->30; // weight: -0.667
+  1200->42; // weight: 0.667
+  1200->71; // weight: 1.33
+  1197->42; // weight: 1.00
+  1202->30; // weight: -0.500
+  1202->42; // weight: 0.500
+  1202->71; // weight: 1.00
+  1220->476; // weight: -0.500
+  1220->1215; // weight: 0.500
+  1220->60; // weight: 1.00
+  1217->7; // weight: -0.500
+  1217->1215; // weight: 0.500
+  1217->42; // weight: 1.00
+  1222->3; // weight: 0.250
+  1222->476; // weight: -0.250
+  1222->7; // weight: -0.250
+  1222->1215; // weight: 0.250
+  1222->54; // weight: -0.500
+  1222->60; // weight: 0.500
+  1222->30; // weight: -0.500
+  1222->42; // weight: 0.500
+  1222->71; // weight: 1.00
+  40->6; // weight: -0.500
+  40->636; // weight: 0.167
+  40->39; // weight: 1.33
+  41->6; // weight: -0.500
+  41->636; // weight: 0.500
+  41->39; // weight: 1.00
+  49->636; // weight: -0.500
+  49->1215; // weight: 0.167
+  49->48; // weight: 1.33
+  50->636; // weight: -0.500
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+  1544->887; // weight: -0.211
+  1544->928; // weight: 0.105
+  1544->936; // weight: 0.949
+  1546->1215; // weight: 0.0352
+  1546->1517; // weight: 0.00586
+  1546->1227; // weight: 0.00586
+  1546->1581; // weight: 0.000977
+  1546->760; // weight: 0.158
+  1546->924; // weight: -0.0264
+  1546->887; // weight: 0.158
+  1546->928; // weight: -0.0264
+  1546->936; // weight: 0.712
+  1573->1517; // weight: -0.250
+  1573->1581; // weight: 0.125
+  1573->924; // weight: 1.12
+  1575->1517; // weight: 0.188
+  1575->1581; // weight: -0.0312
+  1575->924; // weight: 0.844
+  1576->1215; // weight: 0.0781
+  1576->1517; // weight: -0.117
+  1576->1227; // weight: -0.0391
+  1576->1581; // weight: 0.0586
+  1576->760; // weight: -0.352
+  1576->924; // weight: 0.527
+  1576->887; // weight: -0.211
+  1576->928; // weight: 0.105
+  1576->936; // weight: 0.949
+  1578->1215; // weight: -0.0586
+  1578->1517; // weight: 0.0879
+  1578->1227; // weight: 0.00977
+  1578->1581; // weight: -0.0146
+  1578->760; // weight: -0.264
+  1578->924; // weight: 0.396
+  1578->887; // weight: 0.158
+  1578->928; // weight: -0.0264
+  1578->936; // weight: 0.712
+  1549->1227; // weight: -0.250
+  1549->1581; // weight: 0.125
+  1549->928; // weight: 1.12
+  1551->1215; // weight: 0.0781
+  1551->1517; // weight: -0.0391
+  1551->1227; // weight: -0.117
+  1551->1581; // weight: 0.0586
+  1551->760; // weight: -0.211
+  1551->924; // weight: 0.105
+  1551->887; // weight: -0.352
+  1551->928; // weight: 0.527
+  1551->936; // weight: 0.949
+  1552->1227; // weight: 0.188
+  1552->1581; // weight: -0.0312
+  1552->928; // weight: 0.844
+  1554->1215; // weight: -0.0586
+  1554->1517; // weight: 0.00977
+  1554->1227; // weight: 0.0879
+  1554->1581; // weight: -0.0146
+  1554->760; // weight: 0.158
+  1554->924; // weight: -0.0264
+  1554->887; // weight: -0.264
+  1554->928; // weight: 0.396
+  1554->936; // weight: 0.712
+  1583->1517; // weight: -0.312
+  1583->1581; // weight: 0.469
+  1583->924; // weight: 0.844
+  1584->1227; // weight: -0.312
+  1584->1581; // weight: 0.469
+  1584->928; // weight: 0.844
+  1586->1215; // weight: 0.0977
+  1586->1517; // weight: -0.146
+  1586->1227; // weight: -0.146
+  1586->1581; // weight: 0.220
+  1586->760; // weight: -0.264
+  1586->924; // weight: 0.396
+  1586->887; // weight: -0.264
+  1586->928; // weight: 0.396
+  1586->936; // weight: 0.712
+  964->1798; // weight: -0.333
+  964->2149; // weight: 0.333
+  964->963; // weight: 1.00
+  958->2005; // weight: -0.333
+  958->2149; // weight: 0.333
+  958->957; // weight: 1.00
+  968->889; // weight: -0.333
+  968->963; // weight: 0.333
+  968->967; // weight: 1.00
+  969->803; // weight: -0.333
+  969->957; // weight: 0.333
+  969->967; // weight: 1.00
+  970->1778; // weight: 0.111
+  970->1798; // weight: -0.111
+  970->2005; // weight: -0.111
+  970->2149; // weight: 0.111
+  970->889; // weight: -0.333
+  970->963; // weight: 0.333
+  970->803; // weight: -0.333
+  970->957; // weight: 0.333
+  970->967; // weight: 1.00
+  2101->1778; // weight: 0.0625
+  2101->1798; // weight: -0.0312
+  2101->2005; // weight: -0.0312
+  2101->2149; // weight: 0.0156
+  2101->889; // weight: -0.281
+  2101->963; // weight: 0.141
+  2101->803; // weight: -0.281
+  2101->957; // weight: 0.141
+  2101->967; // weight: 1.27
+  2104->1778; // weight: -0.0469
+  2104->1798; // weight: 0.0234
+  2104->2005; // weight: 0.00781
+  2104->2149; // weight: 0.00391
+  2104->889; // weight: -0.211
+  2104->963; // weight: 0.105
+  2104->803; // weight: 0.211
+  2104->957; // weight: -0.0352
+  2104->967; // weight: 0.949
+  2102->1778; // weight: -0.0469
+  2102->1798; // weight: 0.00781
+  2102->2005; // weight: 0.0234
+  2102->2149; // weight: 0.00391
+  2102->889; // weight: 0.211
+  2102->963; // weight: -0.0352
+  2102->803; // weight: -0.211
+  2102->957; // weight: 0.105
+  2102->967; // weight: 0.949
+  2105->1778; // weight: 0.0352
+  2105->1798; // weight: 0.00586
+  2105->2005; // weight: 0.00586
+  2105->2149; // weight: 0.000977
+  2105->889; // weight: 0.158
+  2105->963; // weight: -0.0264
+  2105->803; // weight: 0.158
+  2105->957; // weight: -0.0264
+  2105->967; // weight: 0.712
+  2117->1798; // weight: -0.250
+  2117->2149; // weight: 0.125
+  2117->963; // weight: 1.12
+  2120->1798; // weight: 0.188
+  2120->2149; // weight: -0.0312
+  2120->963; // weight: 0.844
+  2118->1778; // weight: 0.0781
+  2118->1798; // weight: -0.117
+  2118->2005; // weight: -0.0391
+  2118->2149; // weight: 0.0586
+  2118->889; // weight: -0.352
+  2118->963; // weight: 0.527
+  2118->803; // weight: -0.211
+  2118->957; // weight: 0.105
+  2118->967; // weight: 0.949
+  2121->1778; // weight: -0.0586
+  2121->1798; // weight: 0.0879
+  2121->2005; // weight: 0.00977
+  2121->2149; // weight: -0.0146
+  2121->889; // weight: -0.264
+  2121->963; // weight: 0.396
+  2121->803; // weight: 0.158
+  2121->957; // weight: -0.0264
+  2121->967; // weight: 0.712
+  2133->2005; // weight: -0.250
+  2133->2149; // weight: 0.125
+  2133->957; // weight: 1.12
+  2136->1778; // weight: 0.0781
+  2136->1798; // weight: -0.0391
+  2136->2005; // weight: -0.117
+  2136->2149; // weight: 0.0586
+  2136->889; // weight: -0.211
+  2136->963; // weight: 0.105
+  2136->803; // weight: -0.352
+  2136->957; // weight: 0.527
+  2136->967; // weight: 0.949
+  2134->2005; // weight: 0.188
+  2134->2149; // weight: -0.0312
+  2134->957; // weight: 0.844
+  2137->1778; // weight: -0.0586
+  2137->1798; // weight: 0.00977
+  2137->2005; // weight: 0.0879
+  2137->2149; // weight: -0.0146
+  2137->889; // weight: 0.158
+  2137->963; // weight: -0.0264
+  2137->803; // weight: -0.264
+  2137->957; // weight: 0.396
+  2137->967; // weight: 0.712
+  2152->1798; // weight: -0.312
+  2152->2149; // weight: 0.469
+  2152->963; // weight: 0.844
+  2150->2005; // weight: -0.312
+  2150->2149; // weight: 0.469
+  2150->957; // weight: 0.844
+  2153->1778; // weight: 0.0977
+  2153->1798; // weight: -0.146
+  2153->2005; // weight: -0.146
+  2153->2149; // weight: 0.220
+  2153->889; // weight: -0.264
+  2153->963; // weight: 0.396
+  2153->803; // weight: -0.264
+  2153->957; // weight: 0.396
+  2153->967; // weight: 0.712
+}
+DEAL::   Number of degrees of freedom: 2721
+DEAL::   Number of constraints       : 769
+DEAL:cg::Starting value 0.118
+DEAL:cg::Convergence step 23 value 7.99e-10

diff --git a/tests/hp/crash_18_compressed_set_sparsity.cc b/tests/hp/crash_18_compressed_set_sparsity.cc
new file mode 100644 (file)
index 0000000..689168f
--- /dev/null
+++ b/tests/hp/crash_18_compressed_set_sparsity.cc
@@ -0,0 +1,738 @@
+//----------------------------  crash_18.cc  ---------------------------
+//    $Id: crash_18.cc 12732 2006-03-28 23:15:45Z wolf $
+//    Version: $Name$ 
+//
+//    Copyright (C) 2006, 2007 by the deal.II authors
+//
+//    This file is subject to QPL and may not be  distributed
+//    without copyright and license information. Please refer
+//    to the file deal.II/doc/license.html for the  text  and
+//    further information on this license.
+//
+//----------------------------  crash_18.cc  ---------------------------
+
+
+// a modified version of step-27 that crashes because of circular
+// constraints. like crash_17, but only check the second cycle. there,
+// we have dofs that are constrained against itself, and we don't
+// currently detect this...
+
+// like crash_18, but use a Compressed*Set*SparsityPattern instead to test
+// that class some more
+
+char logname[] = "crash_18_compressed_set_sparsity/output";
+
+
+#include "../tests.h"
+
+
+#include <base/quadrature_lib.h>
+#include <base/function.h>
+#include <base/logstream.h>
+#include <base/utilities.h>
+#include <base/timer.h>
+#include <lac/vector.h>
+#include <lac/full_matrix.h>
+#include <lac/sparse_matrix.h>
+#include <lac/compressed_set_sparsity_pattern.h>
+#include <lac/solver_cg.h>
+#include <lac/precondition.h>
+#include <grid/tria.h>
+#include <hp/dof_handler.h>
+#include <grid/grid_generator.h>
+#include <grid/tria_accessor.h>
+#include <grid/tria_iterator.h>
+#include <grid/tria_boundary_lib.h>
+#include <dofs/dof_accessor.h>
+#include <dofs/dof_tools.h>
+#include <hp/fe_values.h>
+#include <numerics/vectors.h>
+#include <numerics/matrices.h>
+#include <numerics/data_out.h>
+
+#include <fstream>
+#include <iostream>
+
+#include <fe/fe_q.h>
+#include <grid/grid_out.h>
+#include <dofs/dof_constraints.h>
+#include <grid/grid_refinement.h>
+#include <numerics/error_estimator.h>
+
+#include <complex>
+
+                                // Finally, this is as in previous
+                                // programs:
+using namespace dealii;
+
+template <int dim>
+class LaplaceProblem 
+{
+  public:
+    LaplaceProblem ();
+    ~LaplaceProblem ();
+
+    void run ();
+    
+  private:
+    void setup_system ();
+    void assemble_system ();
+    void solve ();
+    void create_coarse_grid ();
+    void refine_grid ();
+    void estimate_smoothness (Vector<float> &smoothness_indicators) const;
+    void output_results (const unsigned int cycle) const;
+
+    Triangulation<dim>   triangulation;
+
+    hp::DoFHandler<dim>      dof_handler;
+    hp::FECollection<dim>    fe_collection;
+    hp::QCollection<dim>     quadrature_collection;
+    hp::QCollection<dim-1>   face_quadrature_collection;
+
+    ConstraintMatrix     hanging_node_constraints;
+
+    SparsityPattern      sparsity_pattern;
+    SparseMatrix<double> system_matrix;
+
+    Vector<double>       solution;
+    Vector<double>       system_rhs;
+
+    Timer distr, condense, hang;
+};
+
+
+
+template <int dim>
+class RightHandSide : public Function<dim>
+{
+  public:
+    RightHandSide () : Function<dim> () {};
+    
+    virtual double value (const Point<dim>   &p,
+                         const unsigned int  component) const;
+};
+
+
+template <int dim>
+double
+RightHandSide<dim>::value (const Point<dim>   &p,
+                          const unsigned int  /*component*/) const
+{
+  double product = 1;
+  for (unsigned int d=0; d<dim; ++d)
+    product *= (p[d]+1);
+  return product;
+}
+
+
+
+
+template <int dim>
+LaplaceProblem<dim>::LaplaceProblem () :
+               dof_handler (triangulation)
+{
+  for (unsigned int degree=2; degree<5; ++degree)
+    {
+      fe_collection.push_back (FE_Q<dim>(degree));
+      quadrature_collection.push_back (QGauss<dim>(degree+2));
+      face_quadrature_collection.push_back (QGauss<dim-1>(degree+2));
+    }
+}
+
+
+template <int dim>
+LaplaceProblem<dim>::~LaplaceProblem () 
+{
+  dof_handler.clear ();
+}
+
+template <int dim>
+void LaplaceProblem<dim>::setup_system ()
+{
+  distr.reset();
+  distr.start();
+  dof_handler.distribute_dofs (fe_collection);
+  distr.stop();
+
+  solution.reinit (dof_handler.n_dofs());
+  system_rhs.reinit (dof_handler.n_dofs());
+
+  hanging_node_constraints.clear ();
+  hang.reset();
+  hang.start();
+  DoFTools::make_hanging_node_constraints (dof_handler,
+                                          hanging_node_constraints);
+
+                                  // check for self-referential constraints
+  
+  hanging_node_constraints.close ();
+  hang.stop();
+
+  if (dim < 3)
+    {
+      sparsity_pattern.reinit (dof_handler.n_dofs(),
+                              dof_handler.n_dofs(),
+                              dof_handler.max_couplings_between_dofs());
+      DoFTools::make_sparsity_pattern (dof_handler, sparsity_pattern);
+
+      condense.reset();
+      condense.start();
+      hanging_node_constraints.condense (sparsity_pattern);
+      condense.stop();
+      sparsity_pattern.compress();      
+    }
+  else
+    {
+      CompressedSetSparsityPattern csp (dof_handler.n_dofs(),
+                                    dof_handler.n_dofs());
+      DoFTools::make_sparsity_pattern (dof_handler, csp);
+
+      condense.reset();
+      condense.start();
+      hanging_node_constraints.condense (csp);
+      condense.stop();
+      
+      sparsity_pattern.copy_from (csp);
+    }  
+
+  system_matrix.reinit (sparsity_pattern);
+}
+
+template <int dim>
+void LaplaceProblem<dim>::assemble_system () 
+{
+  hp::FEValues<dim> hp_fe_values (fe_collection,
+                                 quadrature_collection, 
+                                 update_values    |  update_gradients |
+                                 update_q_points  |  update_JxW_values);
+
+  const RightHandSide<dim> rhs_function;
+  
+  typename hp::DoFHandler<dim>::active_cell_iterator
+    cell = dof_handler.begin_active(),
+    endc = dof_handler.end();
+  for (; cell!=endc; ++cell)
+    {
+      const unsigned int   dofs_per_cell = cell->get_fe().dofs_per_cell;
+      FullMatrix<double>   cell_matrix (dofs_per_cell, dofs_per_cell);
+      Vector<double>       cell_rhs (dofs_per_cell);
+
+      std::vector<unsigned int> local_dof_indices (dofs_per_cell);
+
+      cell_matrix = 0;
+      cell_rhs = 0;
+
+      hp_fe_values.reinit (cell);
+      
+      const FEValues<dim> &fe_values = hp_fe_values.get_present_fe_values ();
+
+      std::vector<double>  rhs_values (fe_values.n_quadrature_points);
+      rhs_function.value_list (fe_values.get_quadrature_points(),
+                              rhs_values);
+      
+      for (unsigned int q_point=0; q_point<fe_values.n_quadrature_points; ++q_point)
+       for (unsigned int i=0; i<dofs_per_cell; ++i)
+         {
+           for (unsigned int j=0; j<dofs_per_cell; ++j)
+             cell_matrix(i,j) += (fe_values.shape_grad(i,q_point) *
+                                  fe_values.shape_grad(j,q_point) *
+                                  fe_values.JxW(q_point));
+
+           cell_rhs(i) += (fe_values.shape_value(i,q_point) *
+                           rhs_values[q_point] *
+                           fe_values.JxW(q_point));
+         }
+
+      cell->get_dof_indices (local_dof_indices);
+      for (unsigned int i=0; i<dofs_per_cell; ++i)
+       {
+         for (unsigned int j=0; j<dofs_per_cell; ++j)
+           system_matrix.add (local_dof_indices[i],
+                              local_dof_indices[j],
+                              cell_matrix(i,j));
+         
+         system_rhs(local_dof_indices[i]) += cell_rhs(i);
+       }
+    }
+
+  condense.start();
+  hanging_node_constraints.condense (system_matrix);
+  hanging_node_constraints.condense (system_rhs);
+  condense.stop();
+  std::map<unsigned int,double> boundary_values;
+  VectorTools::interpolate_boundary_values (dof_handler,
+                                           0,
+                                           ZeroFunction<dim>(),
+                                           boundary_values);
+  MatrixTools::apply_boundary_values (boundary_values,
+                                     system_matrix,
+                                     solution,
+                                     system_rhs);
+}
+
+template <int dim>
+void LaplaceProblem<dim>::solve () 
+{
+  SolverControl           solver_control (system_rhs.size(),
+                                         1e-8*system_rhs.l2_norm());
+  SolverCG<>              cg (solver_control);
+
+  PreconditionSSOR<> preconditioner;
+  preconditioner.initialize(system_matrix, 1.2);
+
+  cg.solve (system_matrix, solution, system_rhs,
+           preconditioner);
+
+  hanging_node_constraints.distribute (solution);
+}
+
+
+unsigned int
+int_pow (const unsigned int x,
+        const unsigned int n)
+{
+  unsigned int p=1;
+  for (unsigned int i=0; i<n; ++i)
+    p *= x;
+  return p;
+}
+
+
+template <int dim>
+void
+LaplaceProblem<dim>::
+estimate_smoothness (Vector<float> &smoothness_indicators) const
+{
+  const unsigned int N = 4;
+
+                                  // form all the Fourier vectors
+                                  // that we want to
+                                  // consider. exclude k=0 to avoid
+                                  // problems with |k|^{-mu} and also
+                                  // logarithms of |k|
+  std::vector<Tensor<1,dim> > k_vectors;
+  std::vector<unsigned int>   k_vectors_magnitude;
+  switch (dim)
+    {
+      case 2:
+      {
+       for (unsigned int i=0; i<N; ++i)
+         for (unsigned int j=0; j<N; ++j)
+           if (!((i==0) && (j==0))
+               &&
+               (i*i + j*j < N*N))
+             {
+               k_vectors.push_back (Point<dim>(deal_II_numbers::PI * i,
+                                               deal_II_numbers::PI * j));
+               k_vectors_magnitude.push_back (i*i+j*j);
+             }
+       
+       break;
+      }
+
+      case 3:
+      {
+       for (unsigned int i=0; i<N; ++i)
+         for (unsigned int j=0; j<N; ++j)
+           for (unsigned int k=0; k<N; ++k)
+             if (!((i==0) && (j==0) && (k==0))
+                 &&
+                 (i*i + j*j + k*k < N*N))
+               {
+                 k_vectors.push_back (Point<dim>(deal_II_numbers::PI * i,
+                                                 deal_II_numbers::PI * j,
+                                                 deal_II_numbers::PI * k));
+                 k_vectors_magnitude.push_back (i*i+j*j+k*k);
+             }
+       
+       break;
+      }
+      
+      default:
+           Assert (false, ExcNotImplemented());
+    }
+
+  const unsigned n_fourier_modes = k_vectors.size();
+  std::vector<double> ln_k (n_fourier_modes);
+  for (unsigned int i=0; i<n_fourier_modes; ++i)
+    ln_k[i] = std::log (k_vectors[i].norm());
+  
+
+                                  // assemble the matrices that do
+                                  // the Fourier transforms for each
+                                  // of the finite elements we deal
+                                  // with. note that these matrices
+                                  // are complex-valued, so we can't
+                                  // use FullMatrix
+  QGauss<1>      base_quadrature (2);
+  QIterated<dim> quadrature (base_quadrature, N);
+  
+  std::vector<Table<2,std::complex<double> > >
+    fourier_transform_matrices (fe_collection.size());
+  for (unsigned int fe=0; fe<fe_collection.size(); ++fe)
+    {
+      fourier_transform_matrices[fe].reinit (n_fourier_modes,
+                                            fe_collection[fe].dofs_per_cell);
+
+      for (unsigned int k=0; k<n_fourier_modes; ++k)
+       for (unsigned int i=0; i<fe_collection[fe].dofs_per_cell; ++i)
+         {
+           std::complex<double> sum = 0;
+           for (unsigned int q=0; q<quadrature.n_quadrature_points; ++q)
+             {
+               const Point<dim> x_q = quadrature.point(q);
+               sum += std::exp(std::complex<double>(0,1) *
+                               (k_vectors[k] * x_q)) *
+                      fe_collection[fe].shape_value(i,x_q) *
+                      quadrature.weight(q);
+             }
+           fourier_transform_matrices[fe](k,i)
+             = sum / std::pow(2*deal_II_numbers::PI, 1.*dim/2);
+         }
+    }
+
+                                  // the next thing is to loop over
+                                  // all cells and do our work there,
+                                  // i.e. to locally do the Fourier
+                                  // transform and estimate the decay
+                                  // coefficient
+  std::vector<std::complex<double> > fourier_coefficients (n_fourier_modes);
+  Vector<double>                     local_dof_values;
+  
+  typename hp::DoFHandler<dim>::active_cell_iterator
+    cell = dof_handler.begin_active(),
+    endc = dof_handler.end();
+  for (unsigned int index=0; cell!=endc; ++cell, ++index)
+    {
+      local_dof_values.reinit (cell->get_fe().dofs_per_cell);
+      cell->get_dof_values (solution, local_dof_values);
+
+                                      // first compute the Fourier
+                                      // transform of the local
+                                      // solution
+      std::fill (fourier_coefficients.begin(), fourier_coefficients.end(), 0);
+      for (unsigned int f=0; f<n_fourier_modes; ++f)
+       for (unsigned int i=0; i<cell->get_fe().dofs_per_cell; ++i)
+         fourier_coefficients[f] += 
+           fourier_transform_matrices[cell->active_fe_index()](f,i)
+           *
+           local_dof_values(i);
+
+                                      // enter the Fourier
+                                      // coefficients into a map with
+                                      // the k-magnitudes, to make
+                                      // sure that we get only the
+                                      // largest magnitude for each
+                                      // value of |k|
+      std::map<unsigned int, double> k_to_max_U_map;
+      for (unsigned int f=0; f<n_fourier_modes; ++f)
+       if ((k_to_max_U_map.find (k_vectors_magnitude[f]) ==
+            k_to_max_U_map.end())
+           ||
+           (k_to_max_U_map[k_vectors_magnitude[f]] <
+            std::abs (fourier_coefficients[f])))
+         k_to_max_U_map[k_vectors_magnitude[f]]
+           = std::abs (fourier_coefficients[f]);
+      
+                                      // now we have to calculate the
+                                      // various contributions to the
+                                      // formula for mu. we'll only
+                                      // take those fourier
+                                      // coefficients with the
+                                      // largest value for a given
+                                      // |k|
+      double  sum_1           = 0,
+             sum_ln_k        = 0,
+             sum_ln_k_square = 0,
+             sum_ln_U        = 0,
+             sum_ln_U_ln_k   = 0;
+      for (unsigned int f=0; f<n_fourier_modes; ++f)
+       if (k_to_max_U_map[k_vectors_magnitude[f]] ==
+           std::abs (fourier_coefficients[f]))
+         {
+           sum_1 += 1;
+           sum_ln_k += ln_k[f];
+           sum_ln_k_square += ln_k[f]*ln_k[f];
+           sum_ln_U += std::log (std::abs (fourier_coefficients[f]));
+           sum_ln_U_ln_k += std::log (std::abs (fourier_coefficients[f])) * ln_k[f];
+         }
+
+      const double mu
+       = (1./(sum_1*sum_ln_k_square - sum_ln_k*sum_ln_k)
+          *
+          (sum_ln_k*sum_ln_U - sum_1*sum_ln_U_ln_k));
+      
+      smoothness_indicators(index) = mu - 1.*dim/2;
+    }
+}
+
+
+
+  
+template <int dim>
+void LaplaceProblem<dim>::refine_grid ()
+{
+  Vector<float> estimated_error_per_cell (triangulation.n_active_cells());
+  KellyErrorEstimator<dim>::estimate (dof_handler,
+                                     face_quadrature_collection,
+                                     typename FunctionMap<dim>::type(),
+                                     solution,
+                                     estimated_error_per_cell);
+
+  Vector<float> smoothness_indicators (triangulation.n_active_cells());
+  estimate_smoothness (smoothness_indicators);
+  
+  GridRefinement::refine_and_coarsen_fixed_number (triangulation,
+                                                  estimated_error_per_cell,
+                                                  0.3, 0.03);
+
+  float max_smoothness = 0,
+        min_smoothness = smoothness_indicators.linfty_norm();
+  {
+    typename hp::DoFHandler<dim>::active_cell_iterator
+      cell = dof_handler.begin_active(),
+      endc = dof_handler.end();
+    for (unsigned int index=0; cell!=endc; ++cell, ++index)
+      if (cell->refine_flag_set())
+       {
+         max_smoothness = std::max (max_smoothness,
+                                    smoothness_indicators(index));
+         min_smoothness = std::min (min_smoothness,
+                                    smoothness_indicators(index));
+       }
+  }
+  const float cutoff_smoothness = (max_smoothness + min_smoothness) / 2;
+  {
+    typename hp::DoFHandler<dim>::active_cell_iterator
+      cell = dof_handler.begin_active(),
+      endc = dof_handler.end();
+    for (unsigned int index=0; cell!=endc; ++cell, ++index)
+      if (cell->refine_flag_set()
+         &&
+         (smoothness_indicators(index) > cutoff_smoothness)
+         &&
+         !(cell->active_fe_index() == fe_collection.size() - 1))
+       {
+         cell->clear_refine_flag();
+         cell->set_active_fe_index (std::min (cell->active_fe_index() + 1,
+                                              fe_collection.size() - 1));
+       }
+  } 
+  
+  triangulation.execute_coarsening_and_refinement ();
+}
+
+
+
+template <int dim>
+void LaplaceProblem<dim>::output_results (const unsigned int cycle) const
+{
+  Assert (cycle < 10, ExcNotImplemented());
+  
+  {
+    const std::string filename = "grid-" +
+                                Utilities::int_to_string (cycle, 2) +
+                                ".eps";
+    std::ofstream output (filename.c_str());
+    
+    GridOut grid_out;
+    grid_out.write_eps (triangulation, output);
+  }
+  
+  {
+    Vector<float> smoothness_indicators (triangulation.n_active_cells());
+    estimate_smoothness (smoothness_indicators);
+
+    Vector<double> smoothness_field (dof_handler.n_dofs());
+    DoFTools::distribute_cell_to_dof_vector (dof_handler,
+                                            smoothness_indicators,
+                                            smoothness_field);
+
+    Vector<float> fe_indices (triangulation.n_active_cells());
+    {
+      typename hp::DoFHandler<dim>::active_cell_iterator
+       cell = dof_handler.begin_active(),
+       endc = dof_handler.end();
+      for (unsigned int index=0; cell!=endc; ++cell, ++index)
+       {
+         
+         fe_indices(index) = cell->active_fe_index();
+//       smoothness_indicators(index) *= std::sqrt(cell->diameter());
+       }
+    }
+    
+    const std::string filename = "solution-" +
+                                Utilities::int_to_string (cycle, 2) +
+                                ".vtk";
+    DataOut<dim,hp::DoFHandler<dim> > data_out;
+
+    data_out.attach_dof_handler (dof_handler);
+    data_out.add_data_vector (solution, "solution");
+    data_out.add_data_vector (smoothness_indicators, "smoothness1");
+    data_out.add_data_vector (smoothness_field, "smoothness2");
+    data_out.add_data_vector (fe_indices, "fe_index");
+    data_out.build_patches ();
+  
+    std::ofstream output (filename.c_str());
+    data_out.write_vtk (output);
+  }
+}
+
+
+template <>
+void LaplaceProblem<2>::create_coarse_grid ()
+{
+  const unsigned int dim = 2;
+  
+  static const Point<2> vertices_1[]
+    = {  Point<2> (-1.,   -1.),
+         Point<2> (-1./2, -1.),
+         Point<2> (0.,    -1.),
+         Point<2> (+1./2, -1.),
+         Point<2> (+1,    -1.),
+            
+         Point<2> (-1.,   -1./2.),
+         Point<2> (-1./2, -1./2.),
+         Point<2> (0.,    -1./2.),
+         Point<2> (+1./2, -1./2.),
+         Point<2> (+1,    -1./2.),
+            
+         Point<2> (-1.,   0.),
+         Point<2> (-1./2, 0.),
+         Point<2> (+1./2, 0.),
+         Point<2> (+1,    0.),
+            
+         Point<2> (-1.,   1./2.),
+         Point<2> (-1./2, 1./2.),
+         Point<2> (0.,    1./2.),
+         Point<2> (+1./2, 1./2.),
+         Point<2> (+1,    1./2.),
+            
+         Point<2> (-1.,   1.),
+         Point<2> (-1./2, 1.),
+         Point<2> (0.,    1.),                   
+         Point<2> (+1./2, 1.),
+         Point<2> (+1,    1.)    };
+  const unsigned int
+    n_vertices = sizeof(vertices_1) / sizeof(vertices_1[0]);
+  const std::vector<Point<dim> > vertices (&vertices_1[0],
+                                           &vertices_1[n_vertices]);
+  static const int cell_vertices[][GeometryInfo<dim>::vertices_per_cell]
+    = {{0, 1, 5, 6},
+       {1, 2, 6, 7},
+       {2, 3, 7, 8},
+       {3, 4, 8, 9},
+       {5, 6, 10, 11},
+       {8, 9, 12, 13},
+       {10, 11, 14, 15},
+       {12, 13, 17, 18},
+       {14, 15, 19, 20},
+       {15, 16, 20, 21},
+       {16, 17, 21, 22},
+       {17, 18, 22, 23}};
+  const unsigned int
+    n_cells = sizeof(cell_vertices) / sizeof(cell_vertices[0]);
+
+  std::vector<CellData<dim> > cells (n_cells, CellData<dim>());
+  for (unsigned int i=0; i<n_cells; ++i) 
+    {
+      for (unsigned int j=0;
+           j<GeometryInfo<dim>::vertices_per_cell;
+           ++j)
+        cells[i].vertices[j] = cell_vertices[i][j];
+      cells[i].material_id = 0;
+    }
+
+  triangulation.create_triangulation (vertices,
+                                    cells,
+                                    SubCellData());
+  triangulation.refine_global (3);
+}
+
+
+
+template <>
+void LaplaceProblem<3>::create_coarse_grid ()
+{
+  GridGenerator::hyper_cube (triangulation);
+  triangulation.refine_global (1);
+}
+
+
+
+template <int dim>
+void LaplaceProblem<dim>::run () 
+{
+  for (unsigned int cycle=0; cycle<2; ++cycle)
+    {
+      deallog << "Cycle " << cycle << ':' << std::endl;
+
+      if (cycle == 0)
+       create_coarse_grid ();
+      else
+       refine_grid ();
+      
+
+      deallog << "   Number of active cells:       "
+               << triangulation.n_active_cells()
+               << std::endl;
+
+      Timer all;
+      all.start();
+      setup_system ();
+
+      deallog << "   Number of degrees of freedom: "
+               << dof_handler.n_dofs()
+               << std::endl;
+      deallog << "   Number of constraints       : "
+               << hanging_node_constraints.n_constraints()
+               << std::endl;
+      
+      assemble_system ();
+      solve ();
+      all.stop();
+
+    }
+}
+
+int main () 
+{
+  std::ofstream logfile(logname);
+  logfile.precision (3);
+  
+  deallog.attach(logfile);
+  deallog.depth_console(0);
+  deallog.threshold_double(1.e-10);
+  try
+    {
+      LaplaceProblem<3> laplace_problem_2d;
+      laplace_problem_2d.run ();
+    }
+  catch (std::exception &exc)
+    {
+      std::cerr << std::endl << std::endl
+               << "----------------------------------------------------"
+               << std::endl;
+      std::cerr << "Exception on processing: " << std::endl
+               << exc.what() << std::endl
+               << "Aborting!" << std::endl
+               << "----------------------------------------------------"
+               << std::endl;
+
+      return 1;
+    }
+  catch (...) 
+    {
+      std::cerr << std::endl << std::endl
+               << "----------------------------------------------------"
+               << std::endl;
+      std::cerr << "Unknown exception!" << std::endl
+               << "Aborting!" << std::endl
+               << "----------------------------------------------------"
+               << std::endl;
+      return 1;
+    }
+
+  return 0;
+}

diff --git a/tests/hp/crash_18_compressed_set_sparsity/cmp/generic b/tests/hp/crash_18_compressed_set_sparsity/cmp/generic
new file mode 100644 (file)
index 0000000..9ed4a96
--- /dev/null
+++ b/tests/hp/crash_18_compressed_set_sparsity/cmp/generic
@@ -0,0 +1,13 @@
+
+DEAL::Cycle 0:
+DEAL::   Number of active cells:       8
+DEAL::   Number of degrees of freedom: 125
+DEAL::   Number of constraints       : 0
+DEAL:cg::Starting value 0.438
+DEAL:cg::Convergence step 6 value 2.57e-09
+DEAL::Cycle 1:
+DEAL::   Number of active cells:       22
+DEAL::   Number of degrees of freedom: 385
+DEAL::   Number of constraints       : 128
+DEAL:cg::Starting value 0.337
+DEAL:cg::Convergence step 11 value 6.99e-10

diff --git a/tests/hp/step-11_compressed_set_sparsity.cc b/tests/hp/step-11_compressed_set_sparsity.cc
new file mode 100644 (file)
index 0000000..6b831bb
--- /dev/null
+++ b/tests/hp/step-11_compressed_set_sparsity.cc
@@ -0,0 +1,254 @@
+//----------------------------  step-11.cc  ---------------------------
+//    $Id$
+//    Version: $Name$ 
+//
+//    Copyright (C) 2005, 2006, 2007 by the deal.II authors
+//
+//    This file is subject to QPL and may not be  distributed
+//    without copyright and license information. Please refer
+//    to the file deal.II/doc/license.html for the  text  and
+//    further information on this license.
+//
+//----------------------------  step-11.cc  ---------------------------
+
+
+// a hp-ified version of step-11
+
+// like step-11, but use a Compressed*Set*SparsityPattern instead to test
+// that class some more
+
+
+#include "../tests.h"
+
+#include <base/logstream.h>
+#include <fstream>
+std::ofstream logfile("step-11_compressed_set_sparsity/output");
+
+#include <base/quadrature_lib.h>
+#include <base/function.h>
+#include <base/logstream.h>
+#include <base/table_handler.h>
+#include <lac/vector.h>
+#include <lac/sparse_matrix.h>
+#include <lac/solver_cg.h>
+#include <lac/precondition.h>
+#include <grid/tria.h>
+#include <grid/grid_generator.h>
+#include <grid/tria_boundary_lib.h>
+#include <grid/tria_accessor.h>
+#include <grid/tria_iterator.h>
+#include <dofs/dof_handler.h>
+#include <dofs/dof_constraints.h>
+#include <dofs/dof_accessor.h>
+#include <dofs/dof_tools.h>
+#include <fe/fe_q.h>
+#include <hp/fe_values.h>
+#include <fe/mapping_q.h>
+#include <numerics/vectors.h>
+#include <numerics/matrices.h>
+
+#include <lac/compressed_set_sparsity_pattern.h>
+
+#include <algorithm>
+#include <iostream>
+#include <iomanip>
+#include <cmath>
+
+
+template <int dim>
+class LaplaceProblem 
+{
+  public:
+    LaplaceProblem (const unsigned int mapping_degree);
+    void run ();
+    
+  private:
+    void setup_system ();
+    void assemble_and_solve ();
+    void solve ();
+
+    Triangulation<dim>   triangulation;
+    hp::FECollection<dim>            fe;
+    hp::DoFHandler<dim>      dof_handler;
+    hp::MappingCollection<dim>        mapping;
+
+    SparsityPattern      sparsity_pattern;
+    SparseMatrix<double> system_matrix;
+    ConstraintMatrix     mean_value_constraints;
+
+    Vector<double>       solution;
+    Vector<double>       system_rhs;
+
+    TableHandler         output_table;
+};
+
+
+
+template <int dim>
+LaplaceProblem<dim>::LaplaceProblem (const unsigned int mapping_degree) :
+                fe (FE_Q<dim>(1)),
+               dof_handler (triangulation),
+               mapping (MappingQ<dim>(mapping_degree))
+{
+  deallog << "Using mapping with degree " << mapping_degree << ":"
+           << std::endl
+           << "============================"
+           << std::endl;
+}
+
+
+
+template <int dim>
+void LaplaceProblem<dim>::setup_system ()
+{
+  dof_handler.distribute_dofs (fe);
+  solution.reinit (dof_handler.n_dofs());
+  system_rhs.reinit (dof_handler.n_dofs());
+
+  std::vector<bool> boundary_dofs (dof_handler.n_dofs(), false);
+  DoFTools::extract_boundary_dofs (dof_handler, std::vector<bool>(1,true),
+                                  boundary_dofs);
+
+  const unsigned int first_boundary_dof
+    = std::distance (boundary_dofs.begin(),
+                    std::find (boundary_dofs.begin(),
+                               boundary_dofs.end(),
+                               true));
+
+  mean_value_constraints.clear ();
+  mean_value_constraints.add_line (first_boundary_dof);
+  for (unsigned int i=first_boundary_dof+1; i<dof_handler.n_dofs(); ++i)
+    if (boundary_dofs[i] == true)
+      mean_value_constraints.add_entry (first_boundary_dof,
+                                       i, -1);
+  mean_value_constraints.close ();
+
+  CompressedSetSparsityPattern csp (dof_handler.n_dofs(),
+                                dof_handler.n_dofs());
+  DoFTools::make_sparsity_pattern (dof_handler, csp);
+  mean_value_constraints.condense (csp);
+
+  sparsity_pattern.copy_from (csp);
+  system_matrix.reinit (sparsity_pattern);
+}
+
+
+
+template <int dim>
+void LaplaceProblem<dim>::assemble_and_solve () 
+{
+
+  const unsigned int gauss_degree
+    = std::max (static_cast<unsigned int>(std::ceil(1.*(static_cast<const MappingQ<dim>&>(mapping[0]).get_degree()+1)/2)),
+               2U);
+  MatrixTools::create_laplace_matrix (mapping, dof_handler,
+                                     hp::QCollection<dim>(QGauss<dim>(gauss_degree)),
+                                     system_matrix);
+  VectorTools::create_right_hand_side (mapping, dof_handler,
+                                      hp::QCollection<dim>(QGauss<dim>(gauss_degree)),
+                                      ConstantFunction<dim>(-2),
+                                      system_rhs);
+  Vector<double> tmp (system_rhs.size());
+  VectorTools::create_boundary_right_hand_side (mapping, dof_handler,
+                                               hp::QCollection<dim-1>(QGauss<dim-1>(gauss_degree)),
+                                               ConstantFunction<dim>(1),
+                                               tmp);
+  system_rhs += tmp;
+
+  mean_value_constraints.condense (system_matrix);
+  mean_value_constraints.condense (system_rhs);  
+
+  solve ();
+  mean_value_constraints.distribute (solution);
+
+  Vector<float> norm_per_cell (triangulation.n_active_cells());
+  VectorTools::integrate_difference (mapping, dof_handler,
+                                    solution,
+                                    ZeroFunction<dim>(),
+                                    norm_per_cell,
+                                    hp::QCollection<dim>(QGauss<dim>(gauss_degree+1)),
+                                    VectorTools::H1_seminorm);
+  const double norm = norm_per_cell.l2_norm();
+
+  output_table.add_value ("cells", triangulation.n_active_cells());
+  output_table.add_value ("|u|_1", norm);
+  output_table.add_value ("error", std::fabs(norm-std::sqrt(3.14159265358/2)));
+}
+
+
+
+template <int dim>
+void LaplaceProblem<dim>::solve () 
+{
+  SolverControl           solver_control (1000, 1e-12);
+  SolverCG<>              cg (solver_control);
+
+  PreconditionSSOR<> preconditioner;
+  preconditioner.initialize(system_matrix, 1.2);
+
+  cg.solve (system_matrix, solution, system_rhs,
+           preconditioner);
+}
+
+
+
+template <int dim>
+void LaplaceProblem<dim>::run () 
+{
+  GridGenerator::hyper_ball (triangulation);
+  static const HyperBallBoundary<dim> boundary;
+  triangulation.set_boundary (0, boundary);
+  
+  for (unsigned int cycle=0; cycle<6; ++cycle, triangulation.refine_global(1))
+    {
+      setup_system ();
+      assemble_and_solve ();
+    };
+
+  output_table.set_precision("|u|_1", 6);
+  output_table.set_precision("error", 6);
+  output_table.write_text (deallog.get_file_stream());
+  deallog << std::endl;
+}
+
+    
+
+int main () 
+{
+  try
+    {
+      logfile.precision(2);
+  
+      deallog.attach(logfile);
+      deallog.depth_console(0);
+      deallog.threshold_double(1.e-10);  
+
+      for (unsigned int mapping_degree=1; mapping_degree<=3; ++mapping_degree)
+       LaplaceProblem<2>(mapping_degree).run ();
+    }
+  catch (std::exception &exc)
+    {
+      std::cerr << std::endl << std::endl
+               << "----------------------------------------------------"
+               << std::endl;
+      std::cerr << "Exception on processing: " << std::endl
+               << exc.what() << std::endl
+               << "Aborting!" << std::endl
+               << "----------------------------------------------------"
+               << std::endl;
+      return 1;
+    }
+  catch (...) 
+    {
+      std::cerr << std::endl << std::endl
+               << "----------------------------------------------------"
+               << std::endl;
+      std::cerr << "Unknown exception!" << std::endl
+               << "Aborting!" << std::endl
+               << "----------------------------------------------------"
+               << std::endl;
+      return 1;
+    };
+
+  return 0;
+}

diff --git a/tests/hp/step-11_compressed_set_sparsity/cmp/generic b/tests/hp/step-11_compressed_set_sparsity/cmp/generic
new file mode 100644 (file)
index 0000000..4a28f6c
--- /dev/null
+++ b/tests/hp/step-11_compressed_set_sparsity/cmp/generic
@@ -0,0 +1,67 @@
+
+DEAL::Using mapping with degree 1:
+DEAL::============================
+DEAL:cg::Starting value 1.1
+DEAL:cg::Convergence step 7 value 0
+DEAL:cg::Starting value 0.98
+DEAL:cg::Convergence step 18 value 0
+DEAL:cg::Starting value 0.65
+DEAL:cg::Convergence step 29 value 0
+DEAL:cg::Starting value 0.37
+DEAL:cg::Convergence step 53 value 0
+DEAL:cg::Starting value 0.19
+DEAL:cg::Convergence step 108 value 0
+DEAL:cg::Starting value 0.10
+DEAL:cg::Convergence step 238 value 0
+cells  |u|_1    error   
+5     0.680402 0.572912 
+20    1.085518 0.167796 
+80    1.208981 0.044334 
+320   1.242041 0.011273 
+1280  1.250482 0.002832 
+5120  1.252605 0.000709 
+DEAL::
+DEAL::Using mapping with degree 2:
+DEAL::============================
+DEAL:cg::Starting value 1.338917
+DEAL:cg::Convergence step 7 value 0
+DEAL:cg::Starting value 1.028493
+DEAL:cg::Convergence step 17 value 0
+DEAL:cg::Starting value 0.654097
+DEAL:cg::Convergence step 29 value 0
+DEAL:cg::Starting value 0.368099
+DEAL:cg::Convergence step 53 value 0
+DEAL:cg::Starting value 0.194917
+DEAL:cg::Convergence step 108 value 0
+DEAL:cg::Starting value 0.100213
+DEAL:cg::Convergence step 238 value 0
+cells  |u|_1    error   
+5     1.050963 0.202351 
+20    1.199642 0.053672 
+80    1.239913 0.013401 
+320   1.249987 0.003327 
+1280  1.252486 0.000828 
+5120  1.253108 0.000206 
+DEAL::
+DEAL::Using mapping with degree 3:
+DEAL::============================
+DEAL:cg::Starting value 1.358459
+DEAL:cg::Convergence step 7 value 0
+DEAL:cg::Starting value 1.030204
+DEAL:cg::Convergence step 17 value 0
+DEAL:cg::Starting value 0.654234
+DEAL:cg::Convergence step 29 value 0
+DEAL:cg::Starting value 0.368109
+DEAL:cg::Convergence step 53 value 0
+DEAL:cg::Starting value 0.194918
+DEAL:cg::Convergence step 108 value 0
+DEAL:cg::Starting value 0.100213
+DEAL:cg::Convergence step 238 value 0
+cells  |u|_1    error   
+5     1.086161 0.167153 
+20    1.204349 0.048965 
+80    1.240502 0.012812 
+320   1.250059 0.003255 
+1280  1.252495 0.000819 
+5120  1.253109 0.000205 
+DEAL::