--- /dev/null
+New: Add a two level transfer operator between non-nested multigrid levels for CG and DG.
+<br>
+(Marco Feder, Johannes Heinz, Peter Munch, Martin Kronbichler, 2023/04/26)
+++ /dev/null
-New: Add a two level transfer operator between non-nested multigrid levels.
-<br>
-(Marco Feder, Peter Munch, Martin Kronbichler, 2023/04/26)
* rank.
*/
std::vector<unsigned int> level_dof_indices_fine;
+
+ /**
+ * CRS like structure which points to DoFs associated with the same support
+ * point. The vector stays empty if only one DoF corresponds to one support
+ * point.
+ */
+ std::vector<unsigned int> level_dof_indices_fine_ptrs;
};
#include <deal.II/dofs/dof_handler.h>
#include <deal.II/dofs/dof_tools.h>
+#include <deal.II/fe/fe_q.h>
#include <deal.II/fe/fe_tools.h>
#include <deal.II/fe/fe_values.h>
return mapping_info;
}
+
+ /**
+ * This function provides information which DoF index is associated with
+ * a support point.
+ *
+ * @param[in] dof_handler DoFHandler with @c FE_DGQ or @c FE_Q elements
+ * providing DoF indices which are collected at support points.
+ * @param[in] dof_handler_support_points DoFHandler with one component used
+ * to determine support point indices (the underlying finite element is @c
+ * FE_Q or @c FE_DGQ in case of polynomial degree 0).
+ * @param[in] constraint AffineConstrains associated with @p dof_handler.
+ * Only unconstrained DoFs are considered
+ * @return a tuple containing 0) local support point indices,
+ * 1) pointers to global DoF indices, and 2) global DoF indices.
+ */
+ template <int dim, int spacedim, typename Number>
+ std::tuple<std::vector<unsigned int>,
+ std::vector<unsigned int>,
+ std::vector<types::global_dof_index>>
+ support_point_indices_to_dof_indices(
+ const DoFHandler<dim, spacedim> & dof_handler,
+ const DoFHandler<dim, spacedim> & dof_handler_support_points,
+ const dealii::AffineConstraints<Number> &constraint)
+ {
+ // in case a FE_DGQ space of order 0 is provided, DoFs indices are always
+ // uniquely assigned to support points (they are always defined in the
+ // center of the element) and are never shared at vertices or faces.
+ Assert((dynamic_cast<const FE_DGQ<dim, spacedim> *>(
+ &dof_handler.get_fe()) != nullptr) ||
+ (dynamic_cast<const FE_Q<dim, spacedim> *>(
+ &dof_handler.get_fe()) != nullptr),
+ ExcMessage("Function expects FE_DGQ of FE_Q in dof_handler."));
+
+ Assert(
+ (dynamic_cast<const FE_Q<dim, spacedim> *>(
+ &dof_handler_support_points.get_fe()) != nullptr) ||
+ ((dynamic_cast<const FE_DGQ<dim, spacedim> *>(
+ &dof_handler_support_points.get_fe()) != nullptr) &&
+ dof_handler_support_points.get_fe().degree == 0),
+ ExcMessage(
+ "Function expects FE_DGQ&°ree==0 or FE_Q in dof_handler_support_points."));
+
+ Assert(
+ dof_handler_support_points.get_fe().n_components() == 1,
+ ExcMessage(
+ "dof_handler_support_points needs element with exactly one component."));
+
+ Assert(&dof_handler.get_triangulation() ==
+ &dof_handler_support_points.get_triangulation(),
+ ExcMessage("DoFHandlers need the same underlying triangulation."));
+
+ Assert(dof_handler.get_fe().degree ==
+ dof_handler_support_points.get_fe().degree,
+ ExcMessage("DoFHandlers need the same degree."));
+
+ Assert(
+ dof_handler.get_fe().n_dofs_per_cell() ==
+ dof_handler_support_points.get_fe().n_dofs_per_cell(),
+ ExcMessage(
+ "For now multple components are not considered and therefore DoFHandlers need the same degree."));
+
+ const auto degree = dof_handler.get_fe().degree;
+ const auto dofs_per_cell = dof_handler.get_fe().n_dofs_per_cell();
+ const auto support_points_per_cell =
+ dof_handler_support_points.get_fe().n_dofs_per_cell();
+
+ std::vector<std::pair<unsigned int, types::global_dof_index>>
+ support_point_dofs;
+ support_point_dofs.reserve(dof_handler.n_locally_owned_dofs());
+
+ // fill support_point_dofs
+ {
+ // Support points have a hierarchic numbering, L2 DoFs have
+ // lexicographic numbering. Therefore, we need to convert the DoF
+ // indices if DoFHander is L2 conforming and has degree > 0.
+ const bool needs_conversion =
+ dof_handler.get_fe().conforming_space ==
+ FiniteElementData<dim>::Conformity::L2 &&
+ (dof_handler.get_fe().degree > 0);
+ std::vector<unsigned int> lexicographic_to_hierarchic;
+ if (needs_conversion)
+ lexicographic_to_hierarchic =
+ FETools::lexicographic_to_hierarchic_numbering<dim>(degree);
+
+ const Utilities::MPI::Partitioner partitioner_support_points(
+ dof_handler_support_points.locally_owned_dofs(),
+ dof_handler_support_points.get_communicator());
+
+ const Utilities::MPI::Partitioner partitioner_dof(
+ dof_handler.locally_owned_dofs(),
+ DoFTools::extract_locally_relevant_dofs(dof_handler),
+ dof_handler.get_communicator());
+
+ std::vector<bool> dof_processed(partitioner_dof.locally_owned_size() +
+ partitioner_dof.n_ghost_indices(),
+ false);
+
+
+ std::vector<types::global_dof_index> support_point_indices(
+ support_points_per_cell);
+ std::vector<types::global_dof_index> dof_indices(dofs_per_cell);
+
+ for (const auto &cell : dof_handler.active_cell_iterators())
+ {
+ if (cell->is_locally_owned() || cell->is_ghost())
+ {
+ const auto cell_support_point =
+ cell->as_dof_handler_iterator(dof_handler_support_points);
+
+ cell_support_point->get_dof_indices(support_point_indices);
+ cell->get_dof_indices(dof_indices);
+
+ // collect unconstrained DoFs for support point (assuming
+ // support_points_per_cell==dofs_per_cell, i.e. n_components==1)
+ for (unsigned int i = 0; i < support_point_indices.size(); ++i)
+ if (partitioner_support_points.in_local_range(
+ support_point_indices[i]))
+ {
+ const auto global_dof_idx =
+ needs_conversion ?
+ dof_indices[lexicographic_to_hierarchic[i]] :
+ dof_indices[i];
+
+ const auto local_dof_idx =
+ partitioner_dof.global_to_local(global_dof_idx);
+
+ AssertIndexRange(local_dof_idx, dof_processed.size());
+
+ if (dof_processed[local_dof_idx] == false)
+ {
+ if (!constraint.is_constrained(global_dof_idx))
+ support_point_dofs.emplace_back(std::make_pair(
+ partitioner_support_points.global_to_local(
+ support_point_indices[i]),
+ global_dof_idx));
+
+ dof_processed[local_dof_idx] = true;
+ }
+ }
+ }
+ }
+ }
+
+ // sort for support points (stable sort needed for multiple components)
+ std::stable_sort(support_point_dofs.begin(),
+ support_point_dofs.end(),
+ [](const auto &a, const auto &b) {
+ return a.first < b.first;
+ });
+
+ // convert to CRS format
+ std::vector<types::global_dof_index> dof_indices;
+ dof_indices.reserve(support_point_dofs.size());
+ std::vector<unsigned int> dof_ptrs;
+ dof_ptrs.reserve(dof_handler_support_points.n_locally_owned_dofs() + 1);
+ dof_ptrs.push_back(0);
+ std::vector<unsigned int> support_point_indices;
+ support_point_indices.reserve(
+ dof_handler_support_points.n_locally_owned_dofs());
+
+ auto it = support_point_dofs.begin();
+ while (it != support_point_dofs.end())
+ {
+ const unsigned int index = std::get<0>(*it);
+ while (it != support_point_dofs.end() && it->first == index)
+ {
+ dof_indices.push_back(it->second);
+ ++it;
+ }
+ support_point_indices.push_back(index);
+ dof_ptrs.push_back(dof_indices.size());
+ }
+
+ return std::make_tuple(std::move(support_point_indices),
+ std::move(dof_ptrs),
+ std::move(dof_indices));
+ }
+
+
+ /**
+ * Create DoFHandler with unique support points.
+ */
+ template <int dim, int spacedim>
+ std::shared_ptr<const DoFHandler<dim, spacedim>>
+ create_support_point_dof_handler(
+ const DoFHandler<dim, spacedim> &dof_handler)
+ {
+ const auto &fe = dof_handler.get_fe();
+ const auto &tria = dof_handler.get_triangulation();
+ const auto degree = fe.degree;
+ const auto n_components = fe.n_components();
+
+ if (n_components == 1 &&
+ (fe.conforming_space == FiniteElementData<dim>::Conformity::H1 ||
+ degree == 0))
+ {
+ // in case a DG space of order 0 is provided, DoFs indices are always
+ // uniquely assigned to support points (they are always defined in the
+ // center of the element) and are never shared at vertices or faces.
+ return std::shared_ptr<const DoFHandler<dim, spacedim>>(&dof_handler,
+ [](auto *) {
+ });
+ }
+ else
+ {
+ // Create dummy dof handler for support point numbering.
+ // Unique support points are generally numbered according to FE_Q with
+ // n_components==1. If degree==0 we use FE_DGQ which ensures a unique
+ // support point numbering since the support point is located in the
+ // center of the cell.
+ auto dof_handler_support_points =
+ std::make_shared<DoFHandler<dim, spacedim>>(tria);
+
+ if (degree == 0)
+ dof_handler_support_points->distribute_dofs(
+ FE_DGQ<dim, spacedim>(degree));
+ else
+ dof_handler_support_points->distribute_dofs(
+ FE_Q<dim, spacedim>(degree));
+
+ return dof_handler_support_points;
+ }
+ }
+
+ // Loop over cells and collect unique set of points
+ template <int dim, typename Number>
+ std::tuple<std::vector<Point<dim>>,
+ std::vector<unsigned int>,
+ std::vector<types::global_dof_index>>
+ collect_unconstrained_unique_support_points(
+ const DoFHandler<dim> & dof_handler,
+ const Mapping<dim> & mapping,
+ const dealii::AffineConstraints<Number> &constraint)
+ {
+ AssertThrow(dof_handler.get_fe().has_support_points(),
+ ExcNotImplemented());
+
+ // create DoFHandler for support points
+ const auto dof_handler_support_points =
+ create_support_point_dof_handler(dof_handler);
+
+ // compute mapping: index of locally owned support points to (global) DoF
+ // indices
+ const auto support_point_dofs_crs =
+ support_point_indices_to_dof_indices(dof_handler,
+ *dof_handler_support_points,
+ constraint);
+
+ const std::vector<unsigned int> &local_support_point_indices =
+ std::get<0>(support_point_dofs_crs);
+
+ // compute locally owned support points
+ std::vector<Point<dim>> points;
+ points.resize(local_support_point_indices.size());
+
+ const auto locally_onwed_support_point =
+ dof_handler_support_points->locally_owned_dofs();
+ std::vector<unsigned int> indices_state(
+ locally_onwed_support_point.n_elements(),
+ numbers::invalid_unsigned_int);
+
+ AssertIndexRange(local_support_point_indices.size(),
+ indices_state.size() + 1);
+
+ for (unsigned int i = 0; i < local_support_point_indices.size(); ++i)
+ indices_state[local_support_point_indices[i]] = i;
+
+ const auto & fe_support_point = dof_handler_support_points->get_fe();
+ FEValues<dim> fe_values(mapping,
+ fe_support_point,
+ Quadrature<dim>(
+ fe_support_point.get_unit_support_points()),
+ update_quadrature_points);
+
+ std::vector<types::global_dof_index> dof_indices(
+ fe_support_point.n_dofs_per_cell());
+
+ for (const auto &cell :
+ dof_handler_support_points->active_cell_iterators() |
+ IteratorFilters::LocallyOwnedCell())
+ {
+ fe_values.reinit(cell);
+ cell->get_dof_indices(dof_indices);
+
+ for (const unsigned int q : fe_values.quadrature_point_indices())
+ if (locally_onwed_support_point.is_element(dof_indices[q]))
+ {
+ const auto index =
+ locally_onwed_support_point.index_within_set(dof_indices[q]);
+
+ if (indices_state[index] != numbers::invalid_unsigned_int)
+ {
+ points[indices_state[index]] =
+ fe_values.quadrature_point(q);
+ indices_state[index] = numbers::invalid_unsigned_int;
+ }
+ }
+ }
+
+ return std::make_tuple(
+ std::move(points),
+ std::move(std::get<1>(support_point_dofs_crs)), // global_dofs_ptrs
+ std::move(std::get<2>(support_point_dofs_crs))); // global_dofs_indices
+ }
+
} // namespace
} // namespace internal
ExcMessage(
"The coarser DoFHandler has more DoFs than the finer DoFHandler."));
- this->fine_element_is_continuous = true;
+ this->fine_element_is_continuous =
+ dof_handler_fine.get_fe().n_dofs_per_vertex() > 0;
+
+ // collect points, ptrs, and global indices
+ const auto points_ptrs_indices =
+ internal::collect_unconstrained_unique_support_points(dof_handler_fine,
+ mapping_fine,
+ constraint_fine);
+ const auto &global_dof_indices = std::get<2>(points_ptrs_indices);
// create partitioners and internal vectors
{
this->vec_coarse.reinit(this->partitioner_coarse);
}
{
+ // in case a DG space of order 0 is provided, DoFs indices are never defined
+ // on element faces or vertices and therefore, the partitioner is fine
+ IndexSet locally_relevant_dofs(dof_handler_fine.n_dofs());
+ if (!this->fine_element_is_continuous &&
+ !dof_handler_fine.get_fe().degree == 0)
+ locally_relevant_dofs.add_indices(global_dof_indices.begin(),
+ global_dof_indices.end());
+
this->partitioner_fine.reset(
new Utilities::MPI::Partitioner(dof_handler_fine.locally_owned_dofs(),
+ locally_relevant_dofs,
dof_handler_fine.get_communicator()));
this->vec_fine.reinit(this->partitioner_fine);
}
+ const auto &points = std::get<0>(points_ptrs_indices);
- // Loop over fine cells and collect points, removing possible duplicates
- auto & fe_space = dof_handler_fine.get_fe();
- const auto &unit_pts = fe_space.get_unit_support_points();
- std::vector<std::pair<types::global_dof_index, Point<dim>>> points_all;
- std::vector<Point<dim>> points;
- std::vector<types::global_dof_index> dof_indices(
- dof_handler_fine.get_fe().n_dofs_per_cell());
-
- const auto &local_indices_fine = dof_handler_fine.locally_owned_dofs();
-
- Quadrature<dim> quadrature(unit_pts);
- FEValues<dim> fe_values(mapping_fine,
- fe_space,
- quadrature,
- update_quadrature_points);
-
- for (const auto &cell : dof_handler_fine.active_cell_iterators() |
- IteratorFilters::LocallyOwnedCell())
- {
- fe_values.reinit(cell);
- cell->get_dof_indices(dof_indices);
-
- for (unsigned int i = 0; i < dof_indices.size(); ++i)
- if (local_indices_fine.is_element(dof_indices[i]) &&
- (constraint_fine.is_constrained(dof_indices[i]) == false))
- points_all.emplace_back(local_indices_fine.index_within_set(
- dof_indices[i]),
- fe_values.quadrature_point(i));
- }
+ // using level_dof_indices_fine_ptrs always works but in case of CG or DG
+ // with degree==0 and n_components==1 support points to dof mapping is unique
+ // and we don't need it.
+ if (dof_handler_fine.get_fe().n_components() == 1 &&
+ (this->fine_element_is_continuous ||
+ dof_handler_fine.get_fe().degree == 0))
+ this->level_dof_indices_fine_ptrs.clear();
+ else
+ this->level_dof_indices_fine_ptrs = std::get<1>(points_ptrs_indices);
- std::sort(points_all.begin(),
- points_all.end(),
- [](const auto &a, const auto &b) { return a.first < b.first; });
- points_all.erase(std::unique(points_all.begin(),
- points_all.end(),
- [](const auto &a, const auto &b) {
- return a.first == b.first;
- }),
- points_all.end());
-
- for (const auto &i : points_all)
- {
- this->level_dof_indices_fine.push_back(i.first);
- points.push_back(i.second);
- }
+ // fill level_dof_indices_fine with local indices
+ this->level_dof_indices_fine.resize(global_dof_indices.size());
+ for (unsigned int i = 0; i < global_dof_indices.size(); ++i)
+ this->level_dof_indices_fine[i] =
+ this->partitioner_fine->global_to_local(global_dof_indices[i]);
- // Duplicates support points have been removed, hand them over to rpe.
+ // hand points over to RPE
rpe.reinit(points, dof_handler_coarse.get_triangulation(), mapping_coarse);
// set up MappingInfo for easier data access
}
for (unsigned int j = 0; j < evaluation_point_results.size(); ++j)
- dst.local_element(this->level_dof_indices_fine[j]) +=
- evaluation_point_results[j];
+ {
+ if (level_dof_indices_fine_ptrs.size() == 0)
+ {
+ dst.local_element(this->level_dof_indices_fine[j]) +=
+ evaluation_point_results[j];
+ }
+ else
+ {
+ for (unsigned int i = this->level_dof_indices_fine_ptrs[j];
+ i < this->level_dof_indices_fine_ptrs[j + 1];
+ ++i)
+ dst.local_element(this->level_dof_indices_fine[i]) +=
+ evaluation_point_results[j];
+ }
+ }
}
evaluation_point_results.resize(rpe.get_point_ptrs().size() - 1);
for (unsigned int j = 0; j < evaluation_point_results.size(); ++j)
- evaluation_point_results[j] =
- src.local_element(this->level_dof_indices_fine[j]);
+ {
+ if (level_dof_indices_fine_ptrs.size() == 0)
+ {
+ evaluation_point_results[j] =
+ src.local_element(this->level_dof_indices_fine[j]);
+ }
+ else
+ {
+ evaluation_point_results[j] = 0.0;
+ for (unsigned int i = this->level_dof_indices_fine_ptrs[j];
+ i < this->level_dof_indices_fine_ptrs[j + 1];
+ ++i)
+ evaluation_point_results[j] +=
+ src.local_element(this->level_dof_indices_fine[i]);
+ }
+ }
// Weight operator in case some points are owned by multiple cells.
if (rpe.is_map_unique() == false)
deallog.pop();
}
- if (false)
+ if (fe_degree > 0)
{
- deallog.push("DG<2>(" + str_fine + ")<->DG<2>(" + str_coarse + ")");
+ deallog.push("DG<2>(" + str_fine + ")<->CG<2>(" + str_coarse + ")");
do_test<dim, double>(FE_DGQ<dim>(fe_degree),
- FE_DGQ<dim>(fe_degree),
+ FE_Q<dim>(fe_degree),
function);
deallog.pop();
}
+
+ deallog.push("DG<2>(" + str_fine + ")<->DG<2>(" + str_coarse + ")");
+ do_test<dim, double>(FE_DGQ<dim>(fe_degree),
+ FE_DGQ<dim>(fe_degree),
+ function);
+ deallog.pop();
}
int
+DEAL:0:DG<2>(0)<->DG<2>(0)::4.0000000
+DEAL:0:DG<2>(0)<->DG<2>(0)::1.0000000 1.0000000 1.0000000 1.0000000
+DEAL:0:DG<2>(0)<->DG<2>(0)::1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
+DEAL:0:DG<2>(0)<->DG<2>(0)::8.0000000
+DEAL:0:DG<2>(0)<->DG<2>(0)::1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
+DEAL:0:DG<2>(0)<->DG<2>(0)::4.0000000 4.0000000 4.0000000 4.0000000
DEAL:0:CG<2>(1)<->CG<2>(1)::5.0000000
DEAL:0:CG<2>(1)<->CG<2>(1)::1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
DEAL:0:CG<2>(1)<->CG<2>(1)::1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
DEAL:0:CG<2>(1)<->CG<2>(1)::8.5000000
DEAL:0:CG<2>(1)<->CG<2>(1)::1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
DEAL:0:CG<2>(1)<->CG<2>(1)::2.2500000 3.0000000 3.0000000 4.0000000 2.2500000 3.0000000 2.2500000 3.0000000 2.2500000
+DEAL:0:DG<2>(1)<->CG<2>(1)::8.0000000
+DEAL:0:DG<2>(1)<->CG<2>(1)::1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
+DEAL:0:DG<2>(1)<->CG<2>(1)::1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
+DEAL:0:DG<2>(1)<->CG<2>(1)::24.000000
+DEAL:0:DG<2>(1)<->CG<2>(1)::1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
+DEAL:0:DG<2>(1)<->CG<2>(1)::4.0000000 8.0000000 8.0000000 16.000000 4.0000000 8.0000000 4.0000000 8.0000000 4.0000000
+DEAL:0:DG<2>(1)<->DG<2>(1)::8.0000000
+DEAL:0:DG<2>(1)<->DG<2>(1)::1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
+DEAL:0:DG<2>(1)<->DG<2>(1)::1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
+DEAL:0:DG<2>(1)<->DG<2>(1)::16.000000
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DEAL:0:CG<2>(3)<->CG<2>(3)::13.000000
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DEAL:0:CG<2>(3)<->CG<2>(3)::26.656250
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DEAL:0:CG<2>(3)<->CG<2>(3)::13.000000
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DEAL:0:CG<2>(3)<->CG<2>(3)::26.656250
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+DEAL:1:DG<2>(4)<->CG<2>(4)::54.082241
+DEAL:1:DG<2>(4)<->CG<2>(4)::1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
+DEAL:1:DG<2>(4)<->CG<2>(4)::
+DEAL:1:DG<2>(4)<->DG<2>(4)::20.000000
+DEAL:1:DG<2>(4)<->DG<2>(4)::
+DEAL:1:DG<2>(4)<->DG<2>(4)::1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
+DEAL:1:DG<2>(4)<->DG<2>(4)::51.165697
+DEAL:1:DG<2>(4)<->DG<2>(4)::1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
+DEAL:1:DG<2>(4)<->DG<2>(4)::
const auto str_fine = std::to_string(fe_degree);
const auto str_coarse = std::to_string(fe_degree);
- if (false && fe_degree > 0)
+ if (fe_degree > 0)
{
deallog.push("CG<2>(" + str_fine + ")<->CG<2>(" + str_coarse + ")");
do_test<dim, double>(FE_Q<dim>(fe_degree),
deallog.pop();
}
+ if (fe_degree > 0)
+ {
+ deallog.push("DG<2>(" + str_fine + ")<->CG<2>(" + str_coarse + ")");
+ do_test<dim, double>(FE_DGQ<dim>(fe_degree),
+ FE_Q<dim>(fe_degree),
+ function);
+ deallog.pop();
+ }
{
deallog.push("DG<2>(" + str_fine + ")<->DG<2>(" + str_coarse + ")");
DEAL:0:DG<2>(0)<->DG<2>(0)::36.546524
DEAL:0:DG<2>(0)<->DG<2>(0)::-1.9375000 -1.8125000 -1.9375000 -1.8125000 -1.6875000 -1.5625000 -1.6875000 -1.5625000 -1.9375000 -1.8125000 -1.9375000 -1.8125000 -1.6875000 -1.5625000 -1.6875000 -1.5625000 -1.4375000 -1.3125000 -1.4375000 -1.3125000 -1.1875000 -1.0625000 -1.1875000 -1.0625000 -1.4375000 -1.3125000 -1.4375000 -1.3125000 -1.1875000 -1.0625000 -1.1875000 -1.0625000 -1.9375000 -1.8125000 -1.9375000 -1.8125000 -1.6875000 -1.5625000 -1.6875000 -1.5625000 -1.9375000 -1.8125000 -1.9375000 -1.8125000 -1.6875000 -1.5625000 -1.6875000 -1.5625000 -1.4375000 -1.3125000 -1.4375000 -1.3125000 -1.1875000 -1.0625000 -1.1875000 -1.0625000 -1.4375000 -1.3125000 -1.4375000 -1.3125000 -1.1875000 -1.0625000 -1.1875000 -1.0625000 -0.93750000 -0.81250000 -0.93750000 -0.81250000 -0.68750000 -0.56250000 -0.68750000 -0.56250000 -0.93750000 -0.81250000 -0.93750000 -0.81250000 -0.68750000 -0.56250000 -0.68750000 -0.56250000 -0.43750000 -0.31250000 -0.43750000 -0.31250000 -0.18750000 -0.062500000 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DEAL:1:DG<2>(0)<->DG<2>(0)::4.7562380
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DEAL:1:DG<2>(0)<->DG<2>(0)::-2.1914062 -1.3867188 -9.0625000 -5.6953125 2.1093750 9.2226562 1.1289062 9.2187500
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-DEAL:1:DG<2>(4)<->DG<2>(4)::0.025903112 0.12453371 0.15887278 -0.082695679 -0.094445517 0.12115593 0.25081619 -1.3394734 -1.4729893 -0.087885062 -0.78725585 -4.8742652 -6.7852177 -5.8917630 -1.2469044 -0.41031221 -7.3121987 -10.859544 -6.4562690 -0.96387204 0.23794831 -1.9763004 -2.5215570 -1.2438298 -0.34571395 0.010607602 -0.17858146 -0.13829203 0.070169088 0.020385760 -0.63222757 -1.7001662 -1.3880328 -0.12396924 0.091269169 -0.43874627 -4.7216599 -4.5335364 -1.0304504 0.038843638 -2.1248078 -6.2513654 -5.7231926 -2.6262102 -0.076228573 -0.59768865 -0.80840366 -1.3945653 -0.80312919 0.068436157 -1.3292702 -2.1038560 -1.7518709 -2.9900416 0.18267757 -2.7095474 -13.100648 -16.106048 -11.364725 -2.1042179 -3.2481118 -23.406168 -29.902342 -19.597195 -3.1475843 -5.3117759 -24.466848 -28.807129 -21.959120 -3.1239126 0.27566993 -4.5849522 -8.4448709 -2.1519177 -1.1276779 0.017860211 -1.9443367 -1.5870898 -0.30181447 -0.27036613 -1.2859792 -9.9155242 -9.4407922 -4.3196160 -0.78694232 -4.9178311 -16.657998 -17.805726 -9.5156873 -0.71683172 -1.6094557 -18.799694 -18.451235 -9.6749258 -2.7785577 -0.47428818 -4.2847292 -2.7293956 -2.7844545 -0.10317691 0.021619619 0.21711113 1.1454790 0.97951989 0.0097699052 0.098215204 1.9580139 4.8922798 6.8587029 1.9602202 0.049425632 1.6925936 7.5038398 9.7080794 1.5922756 -0.19683917 0.74359136 4.9560534 8.0698138 2.4702266 -0.074251743 0.12277360 0.39132894 1.4510739 1.0050051 0.42801422 2.4006644 1.6554008 4.2162705 1.1429946 1.8095083 9.2546919 19.855233 17.453600 2.5475647 2.8970191 15.756819 27.327855 28.489875 5.0914770 1.2672322 12.697763 23.149201 23.388363 7.5370662 0.57208042 0.78583783 5.8714750 3.6180289 -0.61325350 0.12267868 -0.25719162 1.3047182 1.5503637 -0.13744886 -0.55799381 -0.79424986 4.2186751 7.2099123 0.71579279 -1.1931169 -4.0025389 2.5581292 9.2123375 2.5991997 -1.0529727 -5.0027322 -0.24478296 4.7167863 0.98261856 -0.48638833 -0.85901543 -0.51076987 0.45795765 0.57830811 0.24334514 2.8743672 4.1421951 3.4139283 0.58007320 2.6787218 14.365772 22.583730 27.613405 6.3808280 2.0276016 15.713851 33.470174 31.688794 8.7047132 2.2139810 12.642610 23.231176 27.473088 3.4203871 0.28503267 2.4844114 4.2508470 6.4399739 1.3478113
+DEAL:1:DG<2>(4)<->DG<2>(4)::-0.030922586 0.21598030 0.16080193 -0.14364415 -0.060655338 0.11198570 0.29332778 -1.4043588 -1.4336760 -0.096808761 -0.72870842 -4.9473116 -6.7856623 -5.9594214 -1.2492109 -0.38575343 -7.2444088 -10.916739 -6.4218103 -0.98778754 0.27180978 -2.0345077 -2.5504081 -1.0875826 -0.36607998 0.018275799 -0.23128056 -0.14442707 0.095705462 0.042996054 -0.65816861 -1.7306453 -1.4059596 -0.16706623 0.11539049 -0.42521371 -4.7333634 -4.5609653 -1.0467132 -0.079949412 -2.1106194 -6.3070430 -5.7461300 -2.6507172 -0.017219069 -0.68156643 -0.79294777 -1.3765435 -0.83549139 0.11934067 -1.2800164 -2.1411556 -1.7280624 -3.1612786 0.21122719 -2.8279452 -13.061858 -16.099291 -11.435398 -2.0728033 -3.2111040 -23.455316 -29.973974 -19.545412 -3.2729082 -5.3565501 -24.467073 -28.746118 -22.106374 -2.9597727 0.25655611 -4.5694368 -8.6448649 -2.0150121 -1.0661054 0.032458167 -1.8814898 -1.6256280 -0.27069508 -0.27022086 -1.2136900 -10.033905 -9.4403727 -4.3432162 -0.90373067 -4.9198429 -16.585505 -17.865557 -9.5179765 -0.65144416 -1.6183332 -18.928149 -18.463961 -9.6734733 -2.9492598 -0.36349740 -4.3954447 -2.7843568 -2.9487697 -0.13333279 0.019312281 0.20368656 1.0741421 0.97727261 0.032165673 0.12421507 1.8816385 4.9337366 6.7675564 1.9252238 0.13103062 1.7007349 7.4305822 9.7414895 1.6900681 -0.25055669 0.73526106 4.9531229 8.0103598 2.5113381 -0.089977480 0.018089575 0.48908349 1.4666991 0.91011889 0.35662018 2.3890199 1.6492472 4.2153732 1.2741500 1.8535250 9.2939007 19.721475 17.608208 2.5971745 2.7673490 15.710796 27.356245 28.380040 5.0506967 1.2485243 12.665324 23.119436 23.348845 7.3512090 0.63232027 0.82610680 5.6683824 3.8344554 -0.61183384 0.12885550 -0.27129976 1.2652421 1.4631800 -0.11943060 -0.51598518 -0.66811767 4.0903916 7.3109775 0.81057710 -1.2306184 -4.1233521 2.6008552 9.1044882 2.6119080 -0.97538997 -4.8846178 -0.35019487 4.8009510 0.94320386 -0.43879566 -0.62632081 -0.55960954 0.61312652 0.73281301 0.31264221 2.8502618 4.2843466 3.3337528 0.62419850 2.4853566 14.321323 22.643882 27.424385 6.6055681 2.0729261 15.720761 33.361794 31.783556 8.5741449 2.1267035 12.622643 23.289412 27.409578 3.4049683 0.15590500 2.3797408 4.2394000 6.2713338 1.5083129
const auto str_fine = std::to_string(fe_degree);
const auto str_coarse = std::to_string(fe_degree);
- if (false && fe_degree > 0)
+ if (fe_degree > 0)
{
deallog.push("CG<2>(" + str_fine + ")<->CG<2>(" + str_coarse + ")");
do_test<dim, double>(FE_Q<dim>(fe_degree),
}
+ if (fe_degree > 0)
+ {
+ deallog.push("DG<2>(" + str_fine + ")<->CG<2>(" + str_coarse + ")");
+ do_test<dim, double>(FE_DGQ<dim>(fe_degree),
+ FE_Q<dim>(fe_degree),
+ function);
+ deallog.pop();
+ }
+
+
{
deallog.push("DG<2>(" + str_fine + ")<->DG<2>(" + str_coarse + ")");
do_test<dim, double>(FE_DGQ<dim>(fe_degree),
DEAL:0:DG<2>(0)<->DG<2>(0)::18.304952
DEAL:0:DG<2>(0)<->DG<2>(0)::-0.93239445 -0.80136977 -0.93725831 -0.79975780 -0.67703853 -0.56582248 -0.67508896 -0.56960898 -0.93706959 -0.80008613 -0.93872730 -0.80275679 -0.67410008 -0.56072658 -0.66411420 -0.55504550 -0.44680533 -0.30664082 -0.44129085 -0.29405385 -0.17647550 -0.066366319 -0.16263726 -0.053131923 -0.42557091 -0.28740525 -0.42789265 -0.29855279 -0.16458944 -0.052595633 -0.18030856 -0.068653613 -0.94803605 -0.82375375 -0.94645157 -0.82209461 -0.67814193 -0.56145417 -0.67672903 -0.56290858 -0.94369952 -0.81611769 -0.93478433 -0.80854362 -0.68460776 -0.57140957 -0.70137595 -0.57598500 -0.43527962 -0.30259791 -0.45159607 -0.30713479 -0.17976651 -0.067877966 -0.18299098 -0.072862035 -0.44475919 -0.31093116 -0.42607114 -0.30963314 -0.19083973 -0.070234723 -0.18951138 -0.055166983 0.062680231 0.20285971 0.070957260 0.19760103 0.31400212 0.42649220 0.31214400 0.42450668 0.070674550 0.18518725 0.061647765 0.19427038 0.30186817 0.42663490 0.30402772 0.43119418 0.55514885 0.69080815 0.55392759 0.69767346 0.82541930 0.94457603 0.82106806 0.93859292 0.56473572 0.70916398 0.56256875 0.70658266 0.80812045 0.92389632 0.81229766 0.92246066 0.057024736 0.20073137 0.063058721 0.19652751 0.32402832 0.44230631 0.31093247 0.42620047 0.058200122 0.18991146 0.056463025 0.18848577 0.30218300 0.42634355 0.31030145 0.44106750 0.56221066 0.70046947 0.55744103 0.68892736 0.80805407 0.92227034 0.81041588 0.93742512 0.55406286 0.68019088 0.57485503 0.70018263 0.81646774 0.93925477 0.81828450 0.92775405 -0.94133437 -0.80672039 -0.95100463 -0.81668602 -0.67832826 -0.55243711 -0.67833436 -0.55774654 -0.94683900 -0.81104534 -0.94321421 -0.80549648 -0.68833487 -0.58018463 -0.68574410 -0.58341142 -0.41976970 -0.30501363 -0.42666389 -0.30939223 -0.17935640 -0.040482548 -0.18601718 -0.050928789 -0.44777379 -0.33032679 -0.45630325 -0.33452972 -0.21239263 -0.078400735 -0.20981006 -0.082882376 -0.93255765 -0.79625319 -0.93077312 -0.80214535 -0.68587218 -0.57091013 -0.68899606 -0.56624869 -0.93312490 -0.81275545 -0.93284203 -0.81062104 -0.70010374 -0.58416417 -0.69614469 -0.57615412 -0.44652582 -0.33713497 -0.43712476 -0.31389774 -0.20097474 -0.075706850 -0.19336924 -0.078139743 -0.43890874 -0.30047231 -0.43845050 -0.31332858 -0.20124123 -0.084135366 -0.20099150 -0.074034677 0.077129820 0.19394235 0.081672986 0.20062602 0.31361292 0.43492528 0.32233817 0.43519174 0.071201013 0.19054420 0.051731029 0.18351917 0.31588826 0.43813776 0.32250306 0.45081899 0.56947309 0.69229008 0.54973057 0.67450451 0.80943494 0.93435800 0.80219695 0.93834994 0.55504019 0.69411342 0.57598741 0.70414394 0.81940265 0.94335395 0.82070868 0.94369645 0.041114765 0.18979987 0.054851094 0.19994970 0.33302041 0.46231881 0.31782421 0.43745878 0.058580797 0.18976886 0.056224154 0.18176548 0.30799998 0.42430842 0.31253209 0.43502889 0.57908624 0.68155323 0.55701216 0.66411637 0.80117751 0.93480176 0.80329453 0.94162548 0.54296454 0.66386615 0.55119960 0.67632445 0.81195991 0.95171047 0.81177030 0.94431702
DEAL:0:DG<2>(0)<->DG<2>(0)::-3.4707803 -2.4875590 -3.4786398 -2.4539864 -1.4887909 -0.45861100 -1.4394216 -0.41355162 -3.5403360 -2.4792337 -3.5031452 -2.5333783 -1.4966084 -0.50349749 -1.4913946 -0.45058584 0.53409824 1.4771450 0.45918432 1.4637250 2.4975581 3.5296563 2.5430511 3.4667751 0.51734234 2.0609086 0.49306038 2.0339584 1.9516075 3.4781654 1.9552285 3.5017611 -3.5157454 -2.4668463 -3.5065950 -2.5376750 -1.4608395 -0.47146935 -1.5689336 -0.58348580 -3.4617293 -2.5120271 -3.4893434 -2.5565667 -1.5346833 -0.54819058 -1.4911601 -0.56040277 0.51288863 1.0708764 0.49699542 1.9625398 2.4859982 3.4843398 2.5292850 3.5271617 0.48571542 1.5506222 0.48633929 1.4798694 2.4817680 3.4808993 2.4343547 3.5197577
+DEAL:0:CG<2>(1)<->CG<2>(1)::10.413420
+DEAL:0:CG<2>(1)<->CG<2>(1)::-1.0000000 -0.75000000 -1.0000000 -0.70915557 -0.50000000 -0.45180260 -1.0000000 -0.78891093 -0.44819331 -0.25000000 -0.21450567 0.0000000 -0.062074193 -0.28621011 0.0059181176 -1.0000000 -0.70764576 -0.45593902 -1.0000000 -0.80217264 -0.45629687 -0.20245824 -0.0030624158 -0.19821946 -0.036623887 0.25000000 0.23763155 0.50000000 0.55924186 0.28819776 0.56249801 0.75000000 0.77895416 1.0000000 1.0000000 0.69011529 1.0000000 0.29820785 0.55766732 0.30437923 0.54568301 0.81216589 1.0000000 0.69934957 1.0000000 -1.0000000 -0.72310439 -0.55353584 -1.0000000 -0.71439671 -0.55819197 -0.28211572 -0.049444753 -0.28949687 0.044300501 -1.0000000 -0.72117435 -0.53561568 -1.0000000 -0.75000000 -0.50000000 -0.18751365 -0.058964970 -0.25000000 0.0000000 0.23990075 0.47635414 0.28182458 0.53357155 0.68999691 1.0000000 0.73520517 1.0000000 0.18906980 0.52784810 0.25000000 0.50000000 0.77783671 1.0000000 0.75000000 1.0000000
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+DEAL:0:CG<2>(1)<->CG<2>(1)::19.040882
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DEAL:0:DG<2>(1)<->DG<2>(1)::18.554172
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DEAL:0:DG<2>(3)<->DG<2>(3)::37.013616
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DEAL:0:DG<2>(4)<->DG<2>(4)::46.258631
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DEAL:0:DG<2>(0)<->DG<2>(0)::18.272464
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+DEAL:0:CG<2>(1)<->CG<2>(1)::10.398402
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DEAL:0:DG<2>(1)<->DG<2>(1)::39.377203
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DEAL:0:DG<2>(1)<->DG<2>(1)::-3.7488918 -3.4619780 -2.7444683 -2.8665781 -2.3430402 -2.7295358 -2.6112191 -1.9417849 -4.5982471 -4.6325349 -5.0172682 -3.2457951 -2.5367684 -3.1587858 -5.9752152 -5.0225941 -1.4371944 -1.0172360 -0.33593140 -0.23437515 -0.71794492 -0.30984333 -0.78600826 -0.53316518 -1.0397126 -0.85567991 -0.45745955 -0.46199401 -0.98009439 -0.27134114 -0.78860516 -0.30618997 -3.0266081 -3.2914117 -3.2067475 -4.0497527 -1.3408761 -1.9196335 -2.2141845 -3.5318431 -6.0779530 -4.8965783 -3.6894582 -2.9188453 -2.5907433 -2.2558972 -3.9499653 -3.3520111 -0.78861819 -1.1426448 -1.9974102 -2.3611517 -1.2203352 -0.42875373 -0.24979008 -0.17208540 -0.49286497 -0.60100773 -0.81329161 -1.5802992 -0.50864406 -0.20610151 -0.16302374 -0.16939523 0.20989210 0.56044339 0.11063654 0.24168109 1.5955158 1.9379491 1.7249366 2.5853009 0.48975735 1.8431157 0.47110706 1.7284701 1.3404472 1.4026414 1.9813689 1.7529955 2.1909209 2.2579955 2.2403219 3.8800445 4.0335331 4.0556092 4.3218400 4.1999968 0.98533181 0.92694820 1.8575367 1.2981138 2.6338667 3.0670260 3.7162225 4.4637315 0.19603995 0.82120546 0.36385584 1.1772982 1.4748198 2.8874234 1.0884182 1.9750529 0.35788649 0.74294983 0.18796752 0.76529966 1.6627626 1.8223767 2.0589867 2.8996079 0.64802811 1.5029218 0.91038038 2.5776376 3.0935801 3.2987709 1.3701228 2.7284679 3.7056303 2.7007701 0.96553715 0.38693751 3.6006489 4.4853128 2.8456759 3.2206177
+DEAL:0:CG<2>(2)<->CG<2>(2)::19.608600
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DEAL:0:DG<2>(4)<->DG<2>(4)::46.173586
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DEAL:1:DG<2>(0)<->DG<2>(0)::9.1326052
DEAL:1:DG<2>(0)<->DG<2>(0)::-0.87783205 -0.60485692 -0.87451662 -0.59951560 -0.33020615 -0.12785580 -0.35017792 -0.13921796 -0.87413917 -0.60017225 -0.86441144 -0.60339619 -0.37312877 -0.13469038 -0.37702792 -0.12711738 0.12580573 0.41113540 0.13579156 0.38990900 0.61990043 0.85924528 0.62679678 0.88671835 0.15989989 0.40396311 0.14547522 0.40017394 0.65351754 0.89704900 0.64786304 0.88223854
DEAL:1:DG<2>(0)<->DG<2>(0)::18.272464
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DEAL:1:DG<2>(0)<->DG<2>(0)::-2.6654325 -3.2883093 -3.4786398 -2.4539864 -1.4850259 -0.45716300 -1.4394216 -0.41355162 -3.5403360 -2.9436730 -3.5152977 -2.4678178 -1.0926549 -0.48988821 -1.5065754 -0.55087821 0.46589158 1.5036761 0.47609973 1.4806281 2.5524613 3.4622335 2.5133393 3.5189872 0.53950070 1.4717689 0.54830163 2.0474084 2.4937983 3.4944579 1.9110403 3.4917966
+DEAL:1:CG<2>(1)<->CG<2>(1)::10.398402
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+DEAL:1:CG<2>(1)<->CG<2>(1)::19.027351
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+DEAL:1:DG<2>(1)<->CG<2>(1)::18.520449
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DEAL:1:DG<2>(1)<->DG<2>(1)::18.520449
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DEAL:1:DG<2>(1)<->DG<2>(1)::39.377203
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DEAL:1:DG<2>(1)<->DG<2>(1)::-2.7808588 -1.2653355 -2.5236206 -0.84849624 -2.1471413 -1.9675637 -4.1683769 -1.7461032 -4.5982471 -4.6325349 -5.0172682 -3.2457951 -2.5367684 -3.1587858 -5.9752152 -5.0225941 -1.6677220 -1.0374638 -0.40516232 -0.76257178 -0.23589842 -0.27373955 -0.28263619 -0.55170992 -1.0397126 -0.85567991 -0.45745955 -0.46199401 -0.98009439 -0.27134114 -0.78860516 -0.30618997 -3.0266081 -3.2914117 -3.2067475 -4.0497527 -1.3408761 -1.9196335 -2.2141845 -3.5318431 -5.9053006 -4.1628696 -3.7224888 -2.8558249 -1.1084906 -2.1220574 -1.7616320 -1.8770277 -1.1794219 -1.1147140 -1.5420117 -0.78138718 -1.8014267 -0.45056784 -1.6130014 -0.55314843 -0.27338045 -0.98253603 -1.1802335 -1.6047201 -0.22490170 -0.15508558 -0.51987047 -0.22506470 0.45056087 1.1648104 0.32897232 1.0961358 0.56717967 1.1252151 0.69289564 1.1158764 0.59752318 1.5989128 0.43552326 1.1103661 1.2439867 0.69572045 0.66609560 0.29682072 1.7203500 2.3549180 2.9541182 2.8743327 5.0953598 4.7200605 3.4665234 3.6417497 1.4273908 3.4743200 3.5955895 4.3830650 2.1969544 3.9028525 1.4580136 3.4659234 0.58288071 1.3010919 0.57496368 1.6940926 1.3837861 2.7287951 2.0640849 2.0035639 0.13619059 0.11699011 0.27894281 0.50723957 1.4029162 1.2612527 1.5711986 1.8697097 2.4587134 5.5597237 2.5821765 3.0413484 3.4203032 4.0218407 2.7214902 4.4071297 2.6754231 2.1673290 2.1080355 3.4069848 1.4947993 2.8660033 2.2940632 3.2626179
+DEAL:1:CG<2>(2)<->CG<2>(2)::19.608600
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DEAL:1:DG<2>(2)<->DG<2>(2)::27.721024
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DEAL:1:DG<2>(3)<->DG<2>(3)::36.945607
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DEAL:1:DG<2>(4)<->DG<2>(4)::46.173586
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