Add test for FEEvaluationShift with FE_Q and FE_DGQ

diff --git a/tests/matrix_free/fe_evaluation_shift.cc b/tests/matrix_free/fe_evaluation_shift.cc
new file mode 100644 (file)
index 0000000..31b501f
--- /dev/null
+++ b/tests/matrix_free/fe_evaluation_shift.cc
@@ -0,0 +1,528 @@
+// ---------------------------------------------------------------------
+//
+// Copyright (C) 2020 - 2021 by the deal.II authors
+//
+// This file is part of the deal.II library.
+//
+// The deal.II library is free software; you can use it, redistribute
+// it, and/or modify it under the terms of the GNU Lesser General
+// Public License as published by the Free Software Foundation; either
+// version 2.1 of the License, or (at your option) any later version.
+// The full text of the license can be found in the file LICENSE.md at
+// the top level directory of deal.II.
+//
+// ---------------------------------------------------------------------
+
+#include <deal.II/base/quadrature_lib.h>
+
+#include <deal.II/dofs/dof_handler.h>
+#include <deal.II/dofs/dof_tools.h>
+
+#include <deal.II/fe/fe_dgq.h>
+#include <deal.II/fe/mapping_q.h>
+
+#include <deal.II/grid/grid_generator.h>
+#include <deal.II/grid/grid_tools.h>
+
+#include <deal.II/matrix_free/fe_evaluation.h>
+#include <deal.II/matrix_free/matrix_free.h>
+
+#include "../tests.h"
+
+
+// Test FEEvaluationShift which accesses the data of the neighbor of a cell for
+// FE_Q
+//
+// @note This test is only run if vectorization is enabled.
+
+namespace dealii
+{
+  template <int dim,
+            int fe_degree,
+            int n_q_points_1d,
+            int n_components_,
+            typename Number,
+            typename VectorizedArrayType>
+  class FEEvaluationShift : public FEEvaluation<dim,
+                                                fe_degree,
+                                                n_q_points_1d,
+                                                n_components_,
+                                                Number,
+                                                VectorizedArrayType>
+  {
+  public:
+    using BaseClass = FEEvaluation<dim,
+                                   fe_degree,
+                                   n_q_points_1d,
+                                   n_components_,
+                                   Number,
+                                   VectorizedArrayType>;
+
+    explicit FEEvaluationShift(
+      const MatrixFree<dim, Number, VectorizedArrayType> &matrix_free,
+      const unsigned int                                  dof_no  = 0,
+      const unsigned int                                  quad_no = 0,
+      const unsigned int first_selected_component                 = 0,
+      const unsigned int active_fe_index   = numbers::invalid_unsigned_int,
+      const unsigned int active_quad_index = numbers::invalid_unsigned_int)
+      : BaseClass(matrix_free,
+                  dof_no,
+                  quad_no,
+                  first_selected_component,
+                  active_fe_index,
+                  active_quad_index)
+      , shape_info_base(this->data){
+
+        };
+
+    const internal::MatrixFreeFunctions::ShapeInfo<VectorizedArrayType>
+      *shape_info_base;
+
+    void
+    reinit(unsigned int cell_batch_index,
+           const internal::MatrixFreeFunctions::ShapeInfo<VectorizedArrayType>
+             *shape_info = nullptr);
+
+    void
+    reinit(unsigned int cell_batch_index,
+           unsigned int face_number,
+           const internal::MatrixFreeFunctions::ShapeInfo<VectorizedArrayType>
+             *shape_info = nullptr);
+  };
+
+  template <int dim,
+            int fe_degree,
+            int n_q_points_1d,
+            int n_components_,
+            typename Number,
+            typename VectorizedArrayType>
+  inline void
+  FEEvaluationShift<dim,
+                    fe_degree,
+                    n_q_points_1d,
+                    n_components_,
+                    Number,
+                    VectorizedArrayType>::
+    reinit(const unsigned int cell_batch_index,
+           const internal::MatrixFreeFunctions::ShapeInfo<VectorizedArrayType>
+             *shape_info)
+  {
+    Assert(this->mapped_geometry == nullptr,
+           ExcMessage(
+             "FEEvaluation was initialized without a matrix-free object."
+             " Integer indexing is not possible"));
+    if (this->mapped_geometry != nullptr)
+      return;
+
+    Assert(this->dof_info != nullptr, ExcNotInitialized());
+    Assert(this->mapping_data != nullptr, ExcNotInitialized());
+    this->cell = cell_batch_index;
+    this->cell_type =
+      this->matrix_free->get_mapping_info().get_cell_type(cell_batch_index);
+
+    const unsigned int offsets =
+      this->mapping_data->data_index_offsets[cell_batch_index];
+    this->jacobian = &this->mapping_data->jacobians[0][offsets];
+    this->J_value  = &this->mapping_data->JxW_values[offsets];
+
+    for (unsigned int i = 0; i < VectorizedArrayType::size(); ++i)
+      this->cell_ids[i] = cell_batch_index * VectorizedArrayType::size() + i;
+
+    this->interior_face = true;
+
+    if (shape_info != nullptr)
+      {
+        AssertDimension(shape_info->n_q_points, this->data->n_q_points);
+        AssertDimension(shape_info->dofs_per_component_on_cell,
+                        this->data->dofs_per_component_on_cell);
+        this->data = shape_info;
+      }
+    else
+      this->data = this->shape_info_base;
+
+#ifdef DEBUG
+    this->is_reinitialized           = true;
+    this->dof_values_initialized     = false;
+    this->values_quad_initialized    = false;
+    this->gradients_quad_initialized = false;
+    this->hessians_quad_initialized  = false;
+#endif
+  }
+
+  template <int dim,
+            int fe_degree,
+            int n_q_points_1d,
+            int n_components_,
+            typename Number,
+            typename VectorizedArrayType>
+  inline void
+  FEEvaluationShift<dim,
+                    fe_degree,
+                    n_q_points_1d,
+                    n_components_,
+                    Number,
+                    VectorizedArrayType>::
+    reinit(const unsigned int cell_batch_index,
+           const unsigned int face_number,
+           const internal::MatrixFreeFunctions::ShapeInfo<VectorizedArrayType>
+             *shape_info)
+  {
+    Assert(
+      this->quad_no <
+        this->matrix_free->get_mapping_info().face_data_by_cells.size(),
+      ExcMessage(
+        "You must set MatrixFree::AdditionalData::mapping_update_flags_faces_by_cells to use the present reinit method."));
+    AssertIndexRange(face_number, GeometryInfo<dim>::faces_per_cell);
+    AssertIndexRange(cell_batch_index,
+                     this->matrix_free->get_mapping_info().cell_type.size());
+    Assert(this->mapped_geometry == nullptr,
+           ExcMessage(
+             "FEEvaluation was initialized without a matrix-free object."
+             " Integer indexing is not possible"));
+    if (this->mapped_geometry != nullptr)
+      return;
+    Assert(this->matrix_free != nullptr, ExcNotInitialized());
+
+    this->cell_type =
+      this->matrix_free->get_mapping_info().cell_type[cell_batch_index];
+    this->cell                 = cell_batch_index;
+    this->face_orientations[0] = 0;
+    this->subface_index        = GeometryInfo<dim>::max_children_per_cell;
+    this->face_numbers[0]      = face_number;
+    this->dof_access_index =
+      internal::MatrixFreeFunctions::DoFInfo::dof_access_cell;
+
+    this->interior_face = false;
+
+    const unsigned int offsets =
+      this->mapping_data->data_index_offsets[cell_batch_index];
+    this->jacobian = &this->mapping_data->jacobians[0][offsets];
+    this->J_value  = &this->mapping_data->JxW_values[offsets];
+
+    unsigned int n_lanes = VectorizedArrayType::size();
+    for (unsigned int i = 0;
+         i <
+         this->matrix_free->n_active_entries_per_cell_batch(cell_batch_index);
+         ++i)
+      {
+        // compute actual (non vectorized) cell ID
+        const unsigned int cell_this = cell_batch_index * n_lanes + i;
+        // compute face ID
+        unsigned int face_index =
+          this->matrix_free->get_cell_and_face_to_plain_faces()(
+            cell_batch_index, face_number, i);
+
+        const auto &faces =
+          this->matrix_free->get_face_info(face_index / n_lanes);
+        // get cell ID on both sides of face
+        auto cell_m = faces.cells_interior[face_index % n_lanes];
+        auto cell_p = faces.cells_exterior[face_index % n_lanes];
+
+        const bool is_interior_face = cell_m != cell_this;
+
+        Assert(cell_m == cell_this || cell_p == cell_this, ExcInternalError());
+
+        // compare the IDs with the given cell ID
+        if (is_interior_face)
+          {
+            this->cell_ids[i]     = cell_m; // neighbor has the other ID
+            this->face_numbers[i] = faces.interior_face_no;
+          }
+        else
+          {
+            this->cell_ids[i]     = cell_p;
+            this->face_numbers[i] = faces.exterior_face_no;
+          }
+      }
+
+    if (shape_info != nullptr)
+      {
+        AssertDimension(shape_info->n_q_points, this->data->n_q_points);
+        AssertDimension(shape_info->dofs_per_component_on_cell,
+                        this->data->dofs_per_component_on_cell);
+        this->data = shape_info;
+      }
+    else
+      this->data = this->shape_info_base;
+
+#ifdef DEBUG
+    this->is_reinitialized           = true;
+    this->dof_values_initialized     = false;
+    this->values_quad_initialized    = false;
+    this->gradients_quad_initialized = false;
+    this->hessians_quad_initialized  = false;
+#endif
+  }
+} // namespace dealii
+
+template <typename Number>
+Quadrature<1>
+shift_1d_quadrature(const Quadrature<1> &quadrature_1D, const Number shift)
+{
+  const auto &points  = quadrature_1D.get_points();
+  const auto &weights = quadrature_1D.get_weights();
+
+  std::vector<Point<1>> points_shift;
+
+  for (const auto &i : points)
+    points_shift.push_back(i + Point<1>(shift));
+
+  return {points_shift, weights};
+}
+
+using namespace dealii;
+
+template <int dim,
+          int fe_degree,
+          int n_points                 = fe_degree + 1,
+          typename Number              = double,
+          typename VectorizedArrayType = VectorizedArray<Number>>
+void
+test(const dealii::FE_Poly<dim> &fe)
+{
+  if (VectorizedArrayType::size() == 1)
+    return;
+
+  using VectorType = LinearAlgebra::distributed::Vector<Number>;
+
+  unsigned int x_repetitions = 4;
+
+  Triangulation<dim> tria;
+  GridGenerator::subdivided_hyper_rectangle(tria,
+                                            {x_repetitions, 1},
+                                            Point<dim>(0.0, 0.0),
+                                            Point<dim>(1. * x_repetitions, 1.0),
+                                            true);
+
+  std::vector<dealii::GridTools::PeriodicFacePair<
+    typename dealii::Triangulation<dim>::cell_iterator>>
+    periodic_faces;
+
+  if (dim >= 1)
+    dealii::GridTools::collect_periodic_faces(tria, 0, 1, 0, periodic_faces);
+
+  if (dim >= 2)
+    dealii::GridTools::collect_periodic_faces(tria, 2, 3, 1, periodic_faces);
+
+  tria.add_periodicity(periodic_faces);
+
+  DoFHandler<dim> dof_handler(tria);
+  dof_handler.distribute_dofs(fe);
+
+  MappingQ<dim> mapping(1);
+  QGauss<1>     quad(n_points);
+
+  AffineConstraints<Number> constraint;
+
+  std::vector<dealii::GridTools::PeriodicFacePair<
+    typename dealii::DoFHandler<dim>::cell_iterator>>
+    periodic_faces_dof;
+
+  if (dim >= 1)
+    dealii::GridTools::collect_periodic_faces(
+      dof_handler, 0, 1, 0, periodic_faces_dof);
+
+  if (dim >= 2)
+    dealii::GridTools::collect_periodic_faces(
+      dof_handler, 2, 3, 1, periodic_faces_dof);
+
+  DoFTools::make_periodicity_constraints<dim, dim, Number>(periodic_faces_dof,
+                                                           constraint);
+  constraint.close();
+
+  using MF = MatrixFree<dim, Number, VectorizedArrayType>;
+
+  typename MF::AdditionalData additional_data;
+  additional_data.mapping_update_flags                = update_values;
+  additional_data.mapping_update_flags_inner_faces    = update_values;
+  additional_data.mapping_update_flags_boundary_faces = update_values;
+  additional_data.mapping_update_flags_faces_by_cells = update_values;
+  additional_data.hold_all_faces_to_owned_cells       = true;
+
+  MF matrix_free;
+  matrix_free.reinit(mapping, dof_handler, constraint, quad, additional_data);
+
+  VectorType dst;
+
+  matrix_free.initialize_dof_vector(dst);
+
+  std::array<internal::MatrixFreeFunctions::ShapeInfo<VectorizedArrayType>,
+             2 * dim>
+    shape_info_shift;
+
+  const QGauss<1> quadrature_1D(n_points);
+
+  const Quadrature<1> quadrature_1D_shift_minus =
+    shift_1d_quadrature(quadrature_1D, -1.);
+  const Quadrature<1> quadrature_1D_shift_plus =
+    shift_1d_quadrature(quadrature_1D, +1.);
+
+  dealii::internal::MatrixFreeFunctions::ShapeInfo<VectorizedArrayType>
+    shape_info_base(quadrature_1D, fe);
+  dealii::internal::MatrixFreeFunctions::ShapeInfo<VectorizedArrayType>
+    shape_info_shift_plus(quadrature_1D_shift_plus, fe);
+  dealii::internal::MatrixFreeFunctions::ShapeInfo<VectorizedArrayType>
+    shape_info_shift_minus(quadrature_1D_shift_minus, fe);
+
+  for (unsigned int f = 0; f < 2 * dim; ++f)
+    {
+      shape_info_shift[f].data.assign(dim, shape_info_base.data[0]);
+
+      shape_info_shift[f].n_q_points = shape_info_base.n_q_points;
+      shape_info_shift[f].dofs_per_component_on_cell =
+        shape_info_base.dofs_per_component_on_cell;
+
+      switch (f)
+        {
+          case 0:
+            shape_info_shift[f].data[0] = shape_info_shift_minus.data[0];
+            break;
+          case 1:
+            shape_info_shift[f].data[0] = shape_info_shift_plus.data[0];
+            break;
+          case 2:
+            shape_info_shift[f].data[1] = shape_info_shift_minus.data[0];
+            break;
+          case 3:
+            shape_info_shift[f].data[1] = shape_info_shift_plus.data[0];
+            break;
+          case 4:
+            shape_info_shift[f].data[2] = shape_info_shift_minus.data[0];
+            break;
+          case 5:
+            shape_info_shift[f].data[2] = shape_info_shift_plus.data[0];
+            break;
+          default:
+            AssertThrow(false, ExcNotImplemented());
+        }
+    }
+
+  FEEvaluationShift<dim, fe_degree, n_points, 1, Number, VectorizedArrayType>
+    phi_m(matrix_free);
+  FEEvaluationShift<dim, fe_degree, n_points, 1, Number, VectorizedArrayType>
+    phi_p(matrix_free);
+
+  // fill dst vector
+  matrix_free.template cell_loop<VectorType, VectorType>(
+    [&](const auto &, auto &dst, const auto &src, const auto range) {
+      for (unsigned int cell = range.first; cell < range.second; ++cell)
+        {
+          phi_m.reinit(cell);
+          for (unsigned int v = 0;
+               v < matrix_free.n_active_entries_per_cell_batch(cell);
+               ++v)
+            {
+              const auto cell_no = cell * VectorizedArrayType::size() + v;
+              for (unsigned int i = 0; i < phi_m.static_dofs_per_component; ++i)
+                phi_m.begin_dof_values()[i][v] = cell_no;
+            }
+          phi_m.evaluate(EvaluationFlags::values);
+          for (unsigned int q = 0; q < phi_m.n_q_points; ++q)
+            phi_m.submit_value(phi_m.get_value(q), q);
+          phi_m.integrate_scatter(EvaluationFlags::values, dst);
+        }
+    },
+    dst,
+    dst);
+
+  // read out dst vector and print cell solutions
+  matrix_free.template loop_cell_centric<VectorType, VectorType>(
+    [&](const auto &, auto &dst, const auto &src, const auto range) {
+      for (unsigned int cell = range.first; cell < range.second; ++cell)
+        {
+          phi_m.reinit(cell);
+          phi_m.read_dof_values(dst);
+
+          for (unsigned int v = 0; v < VectorizedArrayType::size(); ++v)
+            {
+              deallog << "lane " << v << std::endl;
+              for (unsigned int i = 0; i < phi_m.static_dofs_per_component; ++i)
+                deallog << phi_m.begin_dof_values()[i][v] << " ";
+              deallog << std::endl;
+            }
+
+          for (unsigned int face = 0; face < GeometryInfo<dim>::faces_per_cell;
+               face++)
+            {
+              deallog << "face " << face << std::endl;
+              phi_p.reinit(cell, face);
+              phi_p.read_dof_values(dst);
+              phi_p.evaluate(EvaluationFlags::values);
+              for (unsigned int v = 0; v < VectorizedArrayType::size(); ++v)
+                {
+                  deallog << "lane " << v << std::endl;
+                  for (unsigned int i = 0; i < phi_p.static_dofs_per_component;
+                       ++i)
+                    deallog << phi_p.begin_dof_values()[i][v] << " ";
+                  deallog << std::endl;
+
+                  for (unsigned int i = 0; i < phi_p.static_n_q_points; ++i)
+                    deallog << phi_p.begin_values()[i][v] << " ";
+                  deallog << std::endl;
+                }
+
+              deallog << "shifted  shape info" << std::endl;
+              phi_m.reinit(cell, &shape_info_shift[face]);
+              phi_m.read_dof_values(dst);
+
+              for (unsigned int v = 0; v < VectorizedArrayType::size(); ++v)
+                {
+                  deallog << "lane " << v << std::endl;
+                  for (unsigned int i = 0; i < phi_m.static_dofs_per_component;
+                       ++i)
+                    deallog << phi_m.begin_dof_values()[i][v] << " ";
+                  deallog << std::endl;
+                }
+
+              phi_p.reinit(cell, face, &shape_info_shift[face]);
+              phi_p.read_dof_values(dst);
+              phi_p.evaluate(EvaluationFlags::values);
+              for (unsigned int v = 0; v < VectorizedArrayType::size(); ++v)
+                {
+                  deallog << "lane " << v << std::endl;
+                  for (unsigned int i = 0; i < phi_p.static_dofs_per_component;
+                       ++i)
+                    deallog << phi_p.begin_dof_values()[i][v] << " ";
+                  deallog << std::endl;
+
+                  for (unsigned int i = 0; i < phi_p.static_n_q_points; ++i)
+                    deallog << phi_p.begin_values()[i][v] << " ";
+                  deallog << std::endl;
+                }
+              deallog << std::endl;
+            }
+        }
+    },
+    dst,
+    dst,
+    false,
+    MF::DataAccessOnFaces::gradients);
+}
+
+int
+main()
+{
+  initlog();
+
+  constexpr int dim        = 2;
+  constexpr int degree     = 1;
+  constexpr int n_q_points = degree + 1;
+
+  test<dim,
+       degree,
+       n_q_points,
+       double,
+       VectorizedArray<double,
+                       VectorizedArray<double>::size() < 2 ?
+                         VectorizedArray<double>::size() :
+                         2>>(FE_Q<2>(1));
+
+  test<dim,
+       degree,
+       n_q_points,
+       double,
+       VectorizedArray<double,
+                       VectorizedArray<double>::size() < 2 ?
+                         VectorizedArray<double>::size() :
+                         2>>(FE_DGQ<2>(1));
+}

diff --git a/tests/matrix_free/fe_evaluation_shift.output b/tests/matrix_free/fe_evaluation_shift.output
new file mode 100644 (file)
index 0000000..9a39bc1
--- /dev/null
+++ b/tests/matrix_free/fe_evaluation_shift.output
@@ -0,0 +1,321 @@
+
+DEAL::lane 0
+DEAL::1.50000 0.500000 1.50000 0.500000 
+DEAL::lane 1
+DEAL::0.500000 1.50000 0.500000 1.50000 
+DEAL::face 0
+DEAL::lane 0
+DEAL::2.50000 1.50000 2.50000 1.50000 
+DEAL::2.28868 1.71132 2.28868 1.71132 
+DEAL::lane 1
+DEAL::1.50000 0.500000 1.50000 0.500000 
+DEAL::1.28868 0.711325 1.28868 0.711325 
+DEAL::shifted  shape info
+DEAL::lane 0
+DEAL::1.50000 0.500000 1.50000 0.500000 
+DEAL::lane 1
+DEAL::0.500000 1.50000 0.500000 1.50000 
+DEAL::lane 0
+DEAL::2.50000 1.50000 2.50000 1.50000 
+DEAL::3.28868 2.71132 3.28868 2.71132 
+DEAL::lane 1
+DEAL::1.50000 0.500000 1.50000 0.500000 
+DEAL::2.28868 1.71132 2.28868 1.71132 
+DEAL::
+DEAL::face 1
+DEAL::lane 0
+DEAL::0.500000 1.50000 0.500000 1.50000 
+DEAL::0.711325 1.28868 0.711325 1.28868 
+DEAL::lane 1
+DEAL::1.50000 2.50000 1.50000 2.50000 
+DEAL::1.71132 2.28868 1.71132 2.28868 
+DEAL::shifted  shape info
+DEAL::lane 0
+DEAL::1.50000 0.500000 1.50000 0.500000 
+DEAL::lane 1
+DEAL::0.500000 1.50000 0.500000 1.50000 
+DEAL::lane 0
+DEAL::0.500000 1.50000 0.500000 1.50000 
+DEAL::1.71132 2.28868 1.71132 2.28868 
+DEAL::lane 1
+DEAL::1.50000 2.50000 1.50000 2.50000 
+DEAL::2.71132 3.28868 2.71132 3.28868 
+DEAL::
+DEAL::face 2
+DEAL::lane 0
+DEAL::1.50000 0.500000 1.50000 0.500000 
+DEAL::1.28868 0.711325 1.28868 0.711325 
+DEAL::lane 1
+DEAL::0.500000 1.50000 0.500000 1.50000 
+DEAL::0.711325 1.28868 0.711325 1.28868 
+DEAL::shifted  shape info
+DEAL::lane 0
+DEAL::1.50000 0.500000 1.50000 0.500000 
+DEAL::lane 1
+DEAL::0.500000 1.50000 0.500000 1.50000 
+DEAL::lane 0
+DEAL::1.50000 0.500000 1.50000 0.500000 
+DEAL::1.28868 0.711325 1.28868 0.711325 
+DEAL::lane 1
+DEAL::0.500000 1.50000 0.500000 1.50000 
+DEAL::0.711325 1.28868 0.711325 1.28868 
+DEAL::
+DEAL::face 3
+DEAL::lane 0
+DEAL::1.50000 0.500000 1.50000 0.500000 
+DEAL::1.28868 0.711325 1.28868 0.711325 
+DEAL::lane 1
+DEAL::0.500000 1.50000 0.500000 1.50000 
+DEAL::0.711325 1.28868 0.711325 1.28868 
+DEAL::shifted  shape info
+DEAL::lane 0
+DEAL::1.50000 0.500000 1.50000 0.500000 
+DEAL::lane 1
+DEAL::0.500000 1.50000 0.500000 1.50000 
+DEAL::lane 0
+DEAL::1.50000 0.500000 1.50000 0.500000 
+DEAL::1.28868 0.711325 1.28868 0.711325 
+DEAL::lane 1
+DEAL::0.500000 1.50000 0.500000 1.50000 
+DEAL::0.711325 1.28868 0.711325 1.28868 
+DEAL::
+DEAL::lane 0
+DEAL::1.50000 2.50000 1.50000 2.50000 
+DEAL::lane 1
+DEAL::2.50000 1.50000 2.50000 1.50000 
+DEAL::face 0
+DEAL::lane 0
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