scratch_data.h

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// ---------------------------------------------------------------------
//
// Copyright (C) 2019 - 2022 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.
//
// ---------------------------------------------------------------------
 
#ifndef dealii_meshworker_scratch_data_h
#define dealii_meshworker_scratch_data_h
 
#include <deal.II/base/config.h>
 
#include <deal.II/algorithms/general_data_storage.h>
 
#include <deal.II/differentiation/ad.h>
 
#include <deal.II/fe/fe_interface_values.h>
#include <deal.II/fe/fe_values.h>
 
#include <deal.II/hp/fe_values.h>
#include <deal.II/hp/mapping_collection.h>
#include <deal.II/hp/q_collection.h>
 
#include <boost/any.hpp>
 
#include <algorithm>
#include <vector>
 
DEAL_II_NAMESPACE_OPEN
 
namespace MeshWorker
{
  template <int dim, int spacedim = dim>
  class ScratchData
  {
  public:
    ScratchData(
      const Mapping<dim, spacedim> &      mapping,
      const FiniteElement<dim, spacedim> &fe,
      const Quadrature<dim> &             quadrature,
      const UpdateFlags &                 update_flags,
      const Quadrature<dim - 1> &face_quadrature   = Quadrature<dim - 1>(),
      const UpdateFlags &        face_update_flags = update_default);
 
    ScratchData(
      const Mapping<dim, spacedim> &      mapping,
      const FiniteElement<dim, spacedim> &fe,
      const Quadrature<dim> &             quadrature,
      const UpdateFlags &                 update_flags,
      const UpdateFlags &                 neighbor_update_flags,
      const Quadrature<dim - 1> &face_quadrature   = Quadrature<dim - 1>(),
      const UpdateFlags &        face_update_flags = update_default,
      const UpdateFlags &        neighbor_face_update_flags = update_default);
 
    ScratchData(
      const FiniteElement<dim, spacedim> &fe,
      const Quadrature<dim> &             quadrature,
      const UpdateFlags &                 update_flags,
      const Quadrature<dim - 1> &face_quadrature   = Quadrature<dim - 1>(),
      const UpdateFlags &        face_update_flags = update_default);
 
    ScratchData(
      const FiniteElement<dim, spacedim> &fe,
      const Quadrature<dim> &             quadrature,
      const UpdateFlags &                 update_flags,
      const UpdateFlags &                 neighbor_update_flags,
      const Quadrature<dim - 1> &face_quadrature   = Quadrature<dim - 1>(),
      const UpdateFlags &        face_update_flags = update_default,
      const UpdateFlags &        neighbor_face_update_flags = update_default);
 
    ScratchData(const hp::MappingCollection<dim, spacedim> &mapping_collection,
                const hp::FECollection<dim, spacedim> &     fe_collection,
                const hp::QCollection<dim> &    cell_quadrature_collection,
                const UpdateFlags &             cell_update_flags,
                const hp::QCollection<dim - 1> &face_quadrature_collection =
                  hp::QCollection<dim - 1>(),
                const UpdateFlags &face_update_flags = update_default);
 
    ScratchData(const hp::MappingCollection<dim, spacedim> &mapping_collection,
                const hp::FECollection<dim, spacedim> &     fe_collection,
                const hp::QCollection<dim> &    cell_quadrature_collection,
                const UpdateFlags &             cell_update_flags,
                const UpdateFlags &             neighbor_cell_update_flags,
                const hp::QCollection<dim - 1> &face_quadrature_collection =
                  hp::QCollection<dim - 1>(),
                const UpdateFlags &face_update_flags          = update_default,
                const UpdateFlags &neighbor_face_update_flags = update_default);
 
    ScratchData(const hp::FECollection<dim, spacedim> &fe_collection,
                const hp::QCollection<dim> &    cell_quadrature_collection,
                const UpdateFlags &             cell_update_flags,
                const hp::QCollection<dim - 1> &face_quadrature_collection =
                  hp::QCollection<dim - 1>(),
                const UpdateFlags &face_update_flags = update_default);
 
    ScratchData(const hp::FECollection<dim, spacedim> &fe_collection,
                const hp::QCollection<dim> &    cell_quadrature_collection,
                const UpdateFlags &             cell_update_flags,
                const UpdateFlags &             neighbor_cell_update_flags,
                const hp::QCollection<dim - 1> &face_quadrature_collection =
                  hp::QCollection<dim - 1>(),
                const UpdateFlags &face_update_flags          = update_default,
                const UpdateFlags &neighbor_face_update_flags = update_default);
 
    ScratchData(const ScratchData<dim, spacedim> &scratch);
 
    const FEValues<dim, spacedim> &
    reinit(
      const typename DoFHandler<dim, spacedim>::active_cell_iterator &cell);
 
    const FEFaceValues<dim, spacedim> &
    reinit(const typename DoFHandler<dim, spacedim>::active_cell_iterator &cell,
           const unsigned int face_no);
 
    const FEFaceValuesBase<dim, spacedim> &
    reinit(const typename DoFHandler<dim, spacedim>::active_cell_iterator &cell,
           const unsigned int face_no,
           const unsigned int subface_no);
 
    const FEInterfaceValues<dim, spacedim> &
    reinit(const typename DoFHandler<dim, spacedim>::active_cell_iterator &cell,
           const unsigned int face_no,
           const typename DoFHandler<dim, spacedim>::active_cell_iterator
             &                cell_neighbor,
           const unsigned int face_no_neighbor);
 
    const FEInterfaceValues<dim, spacedim> &
    reinit(const typename DoFHandler<dim, spacedim>::active_cell_iterator &cell,
           const unsigned int face_no,
           const unsigned int sub_face_no,
           const typename DoFHandler<dim, spacedim>::active_cell_iterator
             &                cell_neighbor,
           const unsigned int face_no_neighbor,
           const unsigned int sub_face_no_neighbor);
 
    const FEValuesBase<dim, spacedim> &
    get_current_fe_values() const;
 
    const FEInterfaceValues<dim, spacedim> &
    get_current_interface_fe_values() const;
 
    const std::vector<Point<spacedim>> &
    get_quadrature_points() const;
 
    const std::vector<double> &
    get_JxW_values() const;
 
    const std::vector<Tensor<1, spacedim>> &
    get_normal_vectors() const;
 
    const std::vector<types::global_dof_index> &
    get_local_dof_indices() const;
 
    unsigned int
    n_dofs_per_cell() const;
 
 
    const FEValues<dim, spacedim> &
    reinit_neighbor(
      const typename DoFHandler<dim, spacedim>::active_cell_iterator &cell);
 
    const FEFaceValues<dim, spacedim> &
    reinit_neighbor(
      const typename DoFHandler<dim, spacedim>::active_cell_iterator &cell,
      const unsigned int                                              face_no);
 
    const FEFaceValuesBase<dim, spacedim> &
    reinit_neighbor(
      const typename DoFHandler<dim, spacedim>::active_cell_iterator &cell,
      const unsigned int                                              face_no,
      const unsigned int subface_no);
 
    const FEValuesBase<dim, spacedim> &
    get_current_neighbor_fe_values() const;
 
    const std::vector<double> &
    get_neighbor_JxW_values() const;
 
    const std::vector<Tensor<1, spacedim>> &
    get_neighbor_normal_vectors();
 
    const std::vector<types::global_dof_index> &
    get_neighbor_dof_indices() const;
 
    unsigned int
    n_neighbor_dofs_per_cell() const;
 
 
 
    const FEFaceValues<dim, spacedim> &
    reinit(const typename DoFHandler<dim, spacedim>::active_cell_iterator &cell,
           const typename DoFHandler<dim, spacedim>::active_cell_iterator
             &                neighbor_cell,
           const unsigned int face_no);
 
    const FEFaceValuesBase<dim, spacedim> &
    reinit(const typename DoFHandler<dim, spacedim>::active_cell_iterator &cell,
           const typename DoFHandler<dim, spacedim>::active_cell_iterator
             &                neighbor_cell,
           const unsigned int face_no,
           const unsigned int subface_no);
 
    const FEFaceValues<dim, spacedim> &
    reinit_neighbor(
      const typename DoFHandler<dim, spacedim>::active_cell_iterator &cell,
      const typename DoFHandler<dim, spacedim>::active_cell_iterator
        &                neighbor_cell,
      const unsigned int face_no);
 
    const FEFaceValuesBase<dim, spacedim> &
    reinit_neighbor(
      const typename DoFHandler<dim, spacedim>::active_cell_iterator &cell,
      const typename DoFHandler<dim, spacedim>::active_cell_iterator
        &                neighbor_cell,
      const unsigned int face_no,
      const unsigned int subface_no);
 
 
    GeneralDataStorage &
    get_general_data_storage();
 
    const GeneralDataStorage &
    get_general_data_storage() const;
 
    const Mapping<dim, spacedim> &
    get_mapping() const;
 
    const FiniteElement<dim, spacedim> &
    get_fe() const;
 
    const Quadrature<dim> &
    get_cell_quadrature() const;
 
    const Quadrature<dim - 1> &
    get_face_quadrature() const;
 
    const hp::MappingCollection<dim, spacedim> &
    get_mapping_collection() const;
 
    const hp::FECollection<dim, spacedim> &
    get_fe_collection() const;
 
    const hp::QCollection<dim> &
    get_cell_quadrature_collection() const;
 
    const hp::QCollection<dim - 1> &
    get_face_quadrature_collection() const;
 
    bool
    has_hp_capabilities() const;
 
    UpdateFlags
    get_cell_update_flags() const;
 
    UpdateFlags
    get_neighbor_cell_update_flags() const;
 
    UpdateFlags
    get_face_update_flags() const;
 
    UpdateFlags
    get_neighbor_face_update_flags() const;
 
 
    template <typename VectorType, typename Number = double>
    void
    extract_local_dof_values(const std::string &global_vector_name,
                             const VectorType & input_vector,
                             const Number       dummy = Number(0));
 
    template <typename Number = double>
    const std::vector<Number> &
    get_local_dof_values(const std::string &global_vector_name,
                         Number             dummy = Number(0)) const;
 
    template <typename Extractor, typename Number = double>
    const std::vector<typename FEValuesViews::View<dim, spacedim, Extractor>::
                        template solution_value_type<Number>> &
    get_values(const std::string &global_vector_name,
               const Extractor &  variable,
               const Number       dummy = Number(0));
 
    template <typename Extractor, typename Number = double>
    const std::vector<typename FEValuesViews::View<dim, spacedim, Extractor>::
                        template solution_gradient_type<Number>> &
    get_gradients(const std::string &global_vector_name,
                  const Extractor &  variable,
                  const Number       dummy = Number(0));
 
    template <typename Extractor, typename Number = double>
    const std::vector<typename FEValuesViews::View<dim, spacedim, Extractor>::
                        template solution_symmetric_gradient_type<Number>> &
    get_symmetric_gradients(const std::string &global_vector_name,
                            const Extractor &  variable,
                            const Number       dummy = Number(0));
 
    template <typename Extractor, typename Number = double>
    const std::vector<typename FEValuesViews::View<dim, spacedim, Extractor>::
                        template solution_divergence_type<Number>> &
    get_divergences(const std::string &global_vector_name,
                    const Extractor &  variable,
                    const Number       dummy = Number(0));
 
    template <typename Extractor, typename Number = double>
    const std::vector<typename FEValuesViews::View<dim, spacedim, Extractor>::
                        template solution_curl_type<Number>> &
    get_curls(const std::string &global_vector_name,
              const Extractor &  variable,
              const Number       dummy = Number(0));
 
    template <typename Extractor, typename Number = double>
    const std::vector<typename FEValuesViews::View<dim, spacedim, Extractor>::
                        template solution_hessian_type<Number>> &
    get_hessians(const std::string &global_vector_name,
                 const Extractor &  variable,
                 const Number       dummy = Number(0));
 
    template <typename Extractor, typename Number = double>
    const std::vector<typename FEValuesViews::View<dim, spacedim, Extractor>::
                        template solution_laplacian_type<Number>> &
    get_laplacians(const std::string &global_vector_name,
                   const Extractor &  variable,
                   const Number       dummy = Number(0));
 
    template <typename Extractor, typename Number = double>
    const std::vector<typename FEValuesViews::View<dim, spacedim, Extractor>::
                        template solution_third_derivative_type<Number>> &
    get_third_derivatives(const std::string &global_vector_name,
                          const Extractor &  variable,
                          const Number       dummy = Number(0));
 
 
 
    template <typename Extractor, typename Number = double>
    const std::vector<
      typename FEInterfaceViews::View<dim, spacedim, Extractor>::
        template solution_value_type<Number>> &
    get_jumps_in_values(const std::string &global_vector_name,
                        const Extractor &  variable,
                        const Number       dummy = Number(0));
 
    template <typename Extractor, typename Number = double>
    const std::vector<
      typename FEInterfaceViews::View<dim, spacedim, Extractor>::
        template solution_gradient_type<Number>> &
    get_jumps_in_gradients(const std::string &global_vector_name,
                           const Extractor &  variable,
                           const Number       dummy = Number(0));
 
    template <typename Extractor, typename Number = double>
    const std::vector<
      typename FEInterfaceViews::View<dim, spacedim, Extractor>::
        template solution_hessian_type<Number>> &
    get_jumps_in_hessians(const std::string &global_vector_name,
                          const Extractor &  variable,
                          const Number       dummy = Number(0));
 
    template <typename Extractor, typename Number = double>
    const std::vector<
      typename FEInterfaceViews::View<dim, spacedim, Extractor>::
        template solution_third_derivative_type<Number>> &
    get_jumps_in_third_derivatives(const std::string &global_vector_name,
                                   const Extractor &  variable,
                                   const Number       dummy = Number(0));
 
 
 
    template <typename Extractor, typename Number = double>
    const std::vector<
      typename FEInterfaceViews::View<dim, spacedim, Extractor>::
        template solution_value_type<Number>> &
    get_averages_of_values(const std::string &global_vector_name,
                           const Extractor &  variable,
                           const Number       dummy = Number(0));
 
    template <typename Extractor, typename Number = double>
    const std::vector<
      typename FEInterfaceViews::View<dim, spacedim, Extractor>::
        template solution_gradient_type<Number>> &
    get_averages_of_gradients(const std::string &global_vector_name,
                              const Extractor &  variable,
                              const Number       dummy = Number(0));
 
    template <typename Extractor, typename Number = double>
    const std::vector<
      typename FEInterfaceViews::View<dim, spacedim, Extractor>::
        template solution_hessian_type<Number>> &
    get_averages_of_hessians(const std::string &global_vector_name,
                             const Extractor &  variable,
                             const Number       dummy = Number(0));
 
 
  private:
    template <typename Extractor, typename Number = double>
    std::string
    get_unique_name(const std::string &global_vector_name,
                    const Extractor &  variable,
                    const std::string &object_type,
                    const unsigned int size,
                    const Number &     exemplar_number) const;
 
    template <typename Number = double>
    std::string
    get_unique_dofs_name(const std::string &global_vector_name,
                         const unsigned int size,
                         const Number &     exemplar_number) const;
 
 
    SmartPointer<const Mapping<dim, spacedim>> mapping;
 
    SmartPointer<const FiniteElement<dim, spacedim>> fe;
 
    Quadrature<dim> cell_quadrature;
 
    Quadrature<dim - 1> face_quadrature;
 
    std::unique_ptr<FEValues<dim, spacedim>> fe_values;
 
    std::unique_ptr<FEFaceValues<dim, spacedim>> fe_face_values;
 
    std::unique_ptr<FESubfaceValues<dim, spacedim>> fe_subface_values;
 
    std::unique_ptr<FEValues<dim, spacedim>> neighbor_fe_values;
 
    std::unique_ptr<FEFaceValues<dim, spacedim>> neighbor_fe_face_values;
 
    std::unique_ptr<FESubfaceValues<dim, spacedim>> neighbor_fe_subface_values;
 
    // The FEInterfaceValues class supports initialization with hp objects
    // as well.
    std::unique_ptr<FEInterfaceValues<dim, spacedim>> interface_fe_values;
 
 
 
    SmartPointer<const hp::MappingCollection<dim, spacedim>> mapping_collection;
 
    SmartPointer<const hp::FECollection<dim, spacedim>> fe_collection;
 
    hp::QCollection<dim> cell_quadrature_collection;
 
    hp::QCollection<dim - 1> face_quadrature_collection;
 
    bool hp_capability_enabled;
 
    std::unique_ptr<hp::FEValues<dim, spacedim>> hp_fe_values;
 
    std::unique_ptr<hp::FEFaceValues<dim, spacedim>> hp_fe_face_values;
 
    std::unique_ptr<hp::FESubfaceValues<dim, spacedim>> hp_fe_subface_values;
 
    std::unique_ptr<hp::FEValues<dim, spacedim>> neighbor_hp_fe_values;
 
    std::unique_ptr<hp::FEFaceValues<dim, spacedim>> neighbor_hp_fe_face_values;
 
    std::unique_ptr<hp::FESubfaceValues<dim, spacedim>>
      neighbor_hp_fe_subface_values;
 
    DeclExceptionMsg(ExcOnlyAvailableWithoutHP,
                     "The current function doesn't make sense when used with a "
                     "ScratchData object with hp-capabilities.");
 
    DeclExceptionMsg(ExcOnlyAvailableWithHP,
                     "The current function doesn't make sense when used with a "
                     "ScratchData object without hp-capabilities.");
 
 
    UpdateFlags cell_update_flags;
 
    UpdateFlags neighbor_cell_update_flags;
 
    UpdateFlags face_update_flags;
 
    UpdateFlags neighbor_face_update_flags;
 
    std::vector<types::global_dof_index> local_dof_indices;
 
    std::vector<types::global_dof_index> neighbor_dof_indices;
 
    GeneralDataStorage user_data_storage;
 
    GeneralDataStorage internal_data_storage;
 
    SmartPointer<const FEValuesBase<dim, spacedim>> current_fe_values;
 
    SmartPointer<const FEValuesBase<dim, spacedim>> current_neighbor_fe_values;
  };
 
#ifndef DOXYGEN
  template <int dim, int spacedim>
  template <typename Extractor, typename Number>
  std::string
  ScratchData<dim, spacedim>::get_unique_name(
    const std::string &global_vector_name,
    const Extractor &  variable,
    const std::string &object_type,
    const unsigned int size,
    const Number &     exemplar_number) const
  {
    return global_vector_name + "_" + variable.get_name() + "_" + object_type +
           "_" + Utilities::int_to_string(size) + "_" +
           Utilities::type_to_string(exemplar_number);
  }
 
 
 
  template <int dim, int spacedim>
  template <typename Number>
  std::string
  ScratchData<dim, spacedim>::get_unique_dofs_name(
    const std::string &global_vector_name,
    const unsigned int size,
    const Number &     exemplar_number) const
  {
    return global_vector_name + "_independent_local_dofs_" +
           Utilities::int_to_string(size) + "_" +
           Utilities::type_to_string(exemplar_number);
  }
 
 
 
  template <int dim, int spacedim>
  template <typename VectorType, typename Number>
  void
  ScratchData<dim, spacedim>::extract_local_dof_values(
    const std::string &global_vector_name,
    const VectorType & input_vector,
    const Number       dummy)
  {
    const unsigned int n_dofs = local_dof_indices.size();
 
    const std::string name =
      get_unique_dofs_name(global_vector_name, n_dofs, dummy);
 
    auto &independent_local_dofs =
      internal_data_storage
        .template get_or_add_object_with_name<std::vector<Number>>(name,
                                                                   n_dofs);
 
    AssertDimension(independent_local_dofs.size(), n_dofs);
 
    if (Differentiation::AD::is_tapeless_ad_number<Number>::value == true)
      for (unsigned int i = 0; i < n_dofs; ++i)
        Differentiation::AD::internal::Marking<Number>::independent_variable(
          input_vector(local_dof_indices[i]),
          i,
          n_dofs,
          independent_local_dofs[i]);
    else
      for (unsigned int i = 0; i < n_dofs; ++i)
        independent_local_dofs[i] = input_vector(local_dof_indices[i]);
  }
 
 
 
  template <int dim, int spacedim>
  template <typename Number>
  const std::vector<Number> &
  ScratchData<dim, spacedim>::get_local_dof_values(
    const std::string &global_vector_name,
    Number             dummy) const
  {
    const unsigned int n_dofs = local_dof_indices.size();
 
    const std::string dofs_name =
      get_unique_dofs_name(global_vector_name, n_dofs, dummy);
 
    Assert(
      internal_data_storage.stores_object_with_name(dofs_name),
      ExcMessage(
        "You did not call yet extract_local_dof_values with the right types!"));
 
    return internal_data_storage
      .template get_object_with_name<std::vector<Number>>(dofs_name);
  }
 
 
 
  template <int dim, int spacedim>
  template <typename Extractor, typename Number>
  const std::vector<typename FEValuesViews::View<dim, spacedim, Extractor>::
                      template solution_value_type<Number>> &
  ScratchData<dim, spacedim>::get_values(const std::string &global_vector_name,
                                         const Extractor &  variable,
                                         const Number       dummy)
  {
    const std::vector<Number> &independent_local_dofs =
      get_local_dof_values(global_vector_name, dummy);
 
    const FEValuesBase<dim, spacedim> &fev = get_current_fe_values();
 
    const unsigned int n_q_points = fev.n_quadrature_points;
 
    const std::string name = get_unique_name(
      global_vector_name, variable, "_values_q", n_q_points, dummy);
 
    // Now build the return type
    using RetType =
      std::vector<typename FEValuesViews::View<dim, spacedim, Extractor>::
                    template solution_value_type<Number>>;
 
    RetType &ret =
      internal_data_storage.template get_or_add_object_with_name<RetType>(
        name, n_q_points);
 
    AssertDimension(ret.size(), n_q_points);
 
    fev[variable].get_function_values_from_local_dof_values(
      independent_local_dofs, ret);
    return ret;
  }
 
 
 
  template <int dim, int spacedim>
  template <typename Extractor, typename Number>
  const std::vector<typename FEValuesViews::View<dim, spacedim, Extractor>::
                      template solution_gradient_type<Number>> &
  ScratchData<dim, spacedim>::get_gradients(
    const std::string &global_vector_name,
    const Extractor &  variable,
    const Number       dummy)
  {
    const std::vector<Number> &independent_local_dofs =
      get_local_dof_values(global_vector_name, dummy);
 
    const FEValuesBase<dim, spacedim> &fev = get_current_fe_values();
 
    const unsigned int n_q_points = fev.n_quadrature_points;
 
    const std::string name = get_unique_name(
      global_vector_name, variable, "_gradients_q", n_q_points, dummy);
 
    // Now build the return type
    using RetType =
      std::vector<typename FEValuesViews::View<dim, spacedim, Extractor>::
                    template solution_gradient_type<Number>>;
 
    RetType &ret =
      internal_data_storage.template get_or_add_object_with_name<RetType>(
        name, n_q_points);
 
    AssertDimension(ret.size(), n_q_points);
 
    fev[variable].get_function_gradients_from_local_dof_values(
      independent_local_dofs, ret);
    return ret;
  }
 
 
 
  template <int dim, int spacedim>
  template <typename Extractor, typename Number>
  const std::vector<typename FEValuesViews::View<dim, spacedim, Extractor>::
                      template solution_hessian_type<Number>> &
  ScratchData<dim, spacedim>::get_hessians(
    const std::string &global_vector_name,
    const Extractor &  variable,
    const Number       dummy)
  {
    const std::vector<Number> &independent_local_dofs =
      get_local_dof_values(global_vector_name, dummy);
 
    const FEValuesBase<dim, spacedim> &fev = get_current_fe_values();
 
    const unsigned int n_q_points = fev.n_quadrature_points;
 
    const std::string name = get_unique_name(
      global_vector_name, variable, "_hessians_q", n_q_points, dummy);
 
    // Now build the return type
    using RetType =
      std::vector<typename FEValuesViews::View<dim, spacedim, Extractor>::
                    template solution_hessian_type<Number>>;
 
    RetType &ret =
      internal_data_storage.template get_or_add_object_with_name<RetType>(
        name, n_q_points);
 
 
    AssertDimension(ret.size(), n_q_points);
 
    fev[variable].get_function_hessians_from_local_dof_values(
      independent_local_dofs, ret);
    return ret;
  }
 
 
 
  template <int dim, int spacedim>
  template <typename Extractor, typename Number>
  const std::vector<typename FEValuesViews::View<dim, spacedim, Extractor>::
                      template solution_laplacian_type<Number>> &
  ScratchData<dim, spacedim>::get_laplacians(
    const std::string &global_vector_name,
    const Extractor &  variable,
    const Number       dummy)
  {
    const std::vector<Number> &independent_local_dofs =
      get_local_dof_values(global_vector_name, dummy);
 
    const FEValuesBase<dim, spacedim> &fev = get_current_fe_values();
 
    const unsigned int n_q_points = fev.n_quadrature_points;
 
    const std::string name = get_unique_name(
      global_vector_name, variable, "_laplacians_q", n_q_points, dummy);
 
    // Now build the return type
    using RetType =
      std::vector<typename FEValuesViews::View<dim, spacedim, Extractor>::
                    template solution_laplacian_type<Number>>;
 
    RetType &ret =
      internal_data_storage.template get_or_add_object_with_name<RetType>(
        name, n_q_points);
 
 
    AssertDimension(ret.size(), n_q_points);
 
    fev[variable].get_function_laplacians_from_local_dof_values(
      independent_local_dofs, ret);
    return ret;
  }
 
 
 
  template <int dim, int spacedim>
  template <typename Extractor, typename Number>
  const std::vector<typename FEValuesViews::View<dim, spacedim, Extractor>::
                      template solution_third_derivative_type<Number>> &
  ScratchData<dim, spacedim>::get_third_derivatives(
    const std::string &global_vector_name,
    const Extractor &  variable,
    const Number       dummy)
  {
    const std::vector<Number> &independent_local_dofs =
      get_local_dof_values(global_vector_name, dummy);
 
    const FEValuesBase<dim, spacedim> &fev = get_current_fe_values();
 
    const unsigned int n_q_points = fev.n_quadrature_points;
 
    const std::string name = get_unique_name(
      global_vector_name, variable, "_third_derivatives_q", n_q_points, dummy);
 
    // Now build the return type
    using RetType =
      std::vector<typename FEValuesViews::View<dim, spacedim, Extractor>::
                    template solution_third_derivative_type<Number>>;
 
    RetType &ret =
      internal_data_storage.template get_or_add_object_with_name<RetType>(
        name, n_q_points);
 
 
    AssertDimension(ret.size(), n_q_points);
 
    fev[variable].get_function_third_derivatives_from_local_dof_values(
      independent_local_dofs, ret);
    return ret;
  }
 
 
 
  template <int dim, int spacedim>
  template <typename Extractor, typename Number>
  const std::vector<typename FEValuesViews::View<dim, spacedim, Extractor>::
                      template solution_symmetric_gradient_type<Number>> &
  ScratchData<dim, spacedim>::get_symmetric_gradients(
    const std::string &global_vector_name,
    const Extractor &  variable,
    const Number       dummy)
  {
    const std::vector<Number> &independent_local_dofs =
      get_local_dof_values(global_vector_name, dummy);
 
    const FEValuesBase<dim, spacedim> &fev = get_current_fe_values();
 
    const unsigned int n_q_points = fev.n_quadrature_points;
 
    const std::string name = get_unique_name(
      global_vector_name, variable, "_symmetric_gradient_q", n_q_points, dummy);
 
 
    // Now build the return type
    using RetType =
      std::vector<typename FEValuesViews::View<dim, spacedim, Extractor>::
                    template solution_symmetric_gradient_type<Number>>;
 
    RetType &ret =
      internal_data_storage.template get_or_add_object_with_name<RetType>(
        name, n_q_points);
 
 
    AssertDimension(ret.size(), n_q_points);
 
    fev[variable].get_function_symmetric_gradients_from_local_dof_values(
      independent_local_dofs, ret);
    return ret;
  }
 
 
  template <int dim, int spacedim>
  template <typename Extractor, typename Number>
  const std::vector<typename FEValuesViews::View<dim, spacedim, Extractor>::
                      template solution_divergence_type<Number>> &
  ScratchData<dim, spacedim>::get_divergences(
    const std::string &global_vector_name,
    const Extractor &  variable,
    const Number       dummy)
  {
    const std::vector<Number> &independent_local_dofs =
      get_local_dof_values(global_vector_name, dummy);
 
    const FEValuesBase<dim, spacedim> &fev = get_current_fe_values();
 
    const unsigned int n_q_points = fev.n_quadrature_points;
 
    const std::string name = get_unique_name(
      global_vector_name, variable, "_divergence_q", n_q_points, dummy);
 
    // Now build the return type
    using RetType =
      std::vector<typename FEValuesViews::View<dim, spacedim, Extractor>::
                    template solution_divergence_type<Number>>;
 
    RetType &ret =
      internal_data_storage.template get_or_add_object_with_name<RetType>(
        name, n_q_points);
 
 
    AssertDimension(ret.size(), n_q_points);
 
    fev[variable].get_function_divergences_from_local_dof_values(
      independent_local_dofs, ret);
    return ret;
  }
 
 
 
  template <int dim, int spacedim>
  template <typename Extractor, typename Number>
  const std::vector<typename FEValuesViews::View<dim, spacedim, Extractor>::
                      template solution_curl_type<Number>> &
  ScratchData<dim, spacedim>::get_curls(const std::string &global_vector_name,
                                        const Extractor &  variable,
                                        const Number       dummy)
  {
    const std::vector<Number> &independent_local_dofs =
      get_local_dof_values(global_vector_name, dummy);
 
    const FEValuesBase<dim, spacedim> &fev = get_current_fe_values();
 
    const unsigned int n_q_points = fev.n_quadrature_points;
 
    const std::string name = get_unique_name(
      global_vector_name, variable, "_curl_q", n_q_points, dummy);
 
    // Now build the return type
    using RetType =
      std::vector<typename FEValuesViews::View<dim, spacedim, Extractor>::
                    template solution_curl_type<Number>>;
 
    RetType &ret =
      internal_data_storage.template get_or_add_object_with_name<RetType>(
        name, n_q_points);
 
    AssertDimension(ret.size(), n_q_points);
 
    fev[variable].get_function_curls_from_local_dof_values(
      independent_local_dofs, ret);
    return ret;
  }
 
 
 
  template <int dim, int spacedim>
  template <typename Extractor, typename Number>
  const std::vector<typename FEInterfaceViews::View<dim, spacedim, Extractor>::
                      template solution_value_type<Number>> &
  ScratchData<dim, spacedim>::get_jumps_in_values(
    const std::string &global_vector_name,
    const Extractor &  variable,
    const Number       dummy)
  {
    const std::vector<Number> &independent_local_dofs =
      get_local_dof_values(global_vector_name, dummy);
 
    const FEInterfaceValues<dim, spacedim> &feiv =
      get_current_interface_fe_values();
 
    AssertDimension(independent_local_dofs.size(),
                    feiv.n_current_interface_dofs());
 
    const unsigned int n_q_points = feiv.n_quadrature_points;
 
    const std::string name = get_unique_name(
      global_vector_name, variable, "_jump_values_q", n_q_points, dummy);
 
    // Now build the return type
    using RetType =
      std::vector<typename FEValuesViews::View<dim, spacedim, Extractor>::
                    template solution_value_type<Number>>;
 
    RetType &ret =
      internal_data_storage.template get_or_add_object_with_name<RetType>(
        name, n_q_points);
 
    AssertDimension(ret.size(), n_q_points);
 
    feiv[variable].get_jump_in_function_values_from_local_dof_values(
      independent_local_dofs, ret);
    return ret;
  }
 
 
 
  template <int dim, int spacedim>
  template <typename Extractor, typename Number>
  const std::vector<typename FEInterfaceViews::View<dim, spacedim, Extractor>::
                      template solution_gradient_type<Number>> &
  ScratchData<dim, spacedim>::get_jumps_in_gradients(
    const std::string &global_vector_name,
    const Extractor &  variable,
    const Number       dummy)
  {
    const std::vector<Number> &independent_local_dofs =
      get_local_dof_values(global_vector_name, dummy);
 
    const FEInterfaceValues<dim, spacedim> &feiv =
      get_current_interface_fe_values();
 
    AssertDimension(independent_local_dofs.size(),
                    feiv.n_current_interface_dofs());
 
    const unsigned int n_q_points = feiv.n_quadrature_points;
 
    const std::string name = get_unique_name(
      global_vector_name, variable, "_jump_gradients_q", n_q_points, dummy);
 
    // Now build the return type
    using RetType =
      std::vector<typename FEValuesViews::View<dim, spacedim, Extractor>::
                    template solution_gradient_type<Number>>;
 
    RetType &ret =
      internal_data_storage.template get_or_add_object_with_name<RetType>(
        name, n_q_points);
 
    AssertDimension(ret.size(), n_q_points);
 
    feiv[variable].get_jump_in_function_gradients_from_local_dof_values(
      independent_local_dofs, ret);
    return ret;
  }
 
 
 
  template <int dim, int spacedim>
  template <typename Extractor, typename Number>
  const std::vector<typename FEInterfaceViews::View<dim, spacedim, Extractor>::
                      template solution_hessian_type<Number>> &
  ScratchData<dim, spacedim>::get_jumps_in_hessians(
    const std::string &global_vector_name,
    const Extractor &  variable,
    const Number       dummy)
  {
    const std::vector<Number> &independent_local_dofs =
      get_local_dof_values(global_vector_name, dummy);
 
    const FEInterfaceValues<dim, spacedim> &feiv =
      get_current_interface_fe_values();
 
    AssertDimension(independent_local_dofs.size(),
                    feiv.n_current_interface_dofs());
 
    const unsigned int n_q_points = feiv.n_quadrature_points;
 
    const std::string name = get_unique_name(
      global_vector_name, variable, "_jump_hessians_q", n_q_points, dummy);
 
    // Now build the return type
    using RetType =
      std::vector<typename FEValuesViews::View<dim, spacedim, Extractor>::
                    template solution_hessian_type<Number>>;
 
    RetType &ret =
      internal_data_storage.template get_or_add_object_with_name<RetType>(
        name, n_q_points);
 
    AssertDimension(ret.size(), n_q_points);
 
    feiv[variable].get_jump_in_function_hessians_from_local_dof_values(
      independent_local_dofs, ret);
    return ret;
  }
 
 
 
  template <int dim, int spacedim>
  template <typename Extractor, typename Number>
  const std::vector<typename FEInterfaceViews::View<dim, spacedim, Extractor>::
                      template solution_third_derivative_type<Number>> &
  ScratchData<dim, spacedim>::get_jumps_in_third_derivatives(
    const std::string &global_vector_name,
    const Extractor &  variable,
    const Number       dummy)
  {
    const std::vector<Number> &independent_local_dofs =
      get_local_dof_values(global_vector_name, dummy);
 
    const FEInterfaceValues<dim, spacedim> &feiv =
      get_current_interface_fe_values();
 
    AssertDimension(independent_local_dofs.size(),
                    feiv.n_current_interface_dofs());
 
    const unsigned int n_q_points = feiv.n_quadrature_points;
 
    const std::string name = get_unique_name(global_vector_name,
                                             variable,
                                             "_jump_third_derivatives_q",
                                             n_q_points,
                                             dummy);
 
    // Now build the return type
    using RetType =
      std::vector<typename FEValuesViews::View<dim, spacedim, Extractor>::
                    template solution_third_derivative_type<Number>>;
 
    RetType &ret =
      internal_data_storage.template get_or_add_object_with_name<RetType>(
        name, n_q_points);
 
    AssertDimension(ret.size(), n_q_points);
 
    feiv[variable].get_jump_in_function_third_derivatives_from_local_dof_values(
      independent_local_dofs, ret);
    return ret;
  }
 
 
 
  template <int dim, int spacedim>
  template <typename Extractor, typename Number>
  const std::vector<typename FEInterfaceViews::View<dim, spacedim, Extractor>::
                      template solution_value_type<Number>> &
  ScratchData<dim, spacedim>::get_averages_of_values(
    const std::string &global_vector_name,
    const Extractor &  variable,
    const Number       dummy)
  {
    const std::vector<Number> &independent_local_dofs =
      get_local_dof_values(global_vector_name, dummy);
 
    const FEInterfaceValues<dim, spacedim> &feiv =
      get_current_interface_fe_values();
 
    AssertDimension(independent_local_dofs.size(),
                    feiv.n_current_interface_dofs());
 
    const unsigned int n_q_points = feiv.n_quadrature_points;
 
    const std::string name = get_unique_name(
      global_vector_name, variable, "_average_values_q", n_q_points, dummy);
 
    // Now build the return type
    using RetType =
      std::vector<typename FEValuesViews::View<dim, spacedim, Extractor>::
                    template solution_value_type<Number>>;
 
    RetType &ret =
      internal_data_storage.template get_or_add_object_with_name<RetType>(
        name, n_q_points);
 
    AssertDimension(ret.size(), n_q_points);
 
    feiv[variable].get_average_of_function_values_from_local_dof_values(
      independent_local_dofs, ret);
    return ret;
  }
 
 
 
  template <int dim, int spacedim>
  template <typename Extractor, typename Number>
  const std::vector<typename FEInterfaceViews::View<dim, spacedim, Extractor>::
                      template solution_gradient_type<Number>> &
  ScratchData<dim, spacedim>::get_averages_of_gradients(
    const std::string &global_vector_name,
    const Extractor &  variable,
    const Number       dummy)
  {
    const std::vector<Number> &independent_local_dofs =
      get_local_dof_values(global_vector_name, dummy);
 
    const FEInterfaceValues<dim, spacedim> &feiv =
      get_current_interface_fe_values();
 
    AssertDimension(independent_local_dofs.size(),
                    feiv.n_current_interface_dofs());
 
    const unsigned int n_q_points = feiv.n_quadrature_points;
 
    const std::string name = get_unique_name(
      global_vector_name, variable, "_average_gradients_q", n_q_points, dummy);
 
    // Now build the return type
    using RetType =
      std::vector<typename FEValuesViews::View<dim, spacedim, Extractor>::
                    template solution_gradient_type<Number>>;
 
    RetType &ret =
      internal_data_storage.template get_or_add_object_with_name<RetType>(
        name, n_q_points);
 
    AssertDimension(ret.size(), n_q_points);
 
    feiv[variable].get_average_of_function_gradients_from_local_dof_values(
      independent_local_dofs, ret);
    return ret;
  }
 
 
 
  template <int dim, int spacedim>
  template <typename Extractor, typename Number>
  const std::vector<typename FEInterfaceViews::View<dim, spacedim, Extractor>::
                      template solution_hessian_type<Number>> &
  ScratchData<dim, spacedim>::get_averages_of_hessians(
    const std::string &global_vector_name,
    const Extractor &  variable,
    const Number       dummy)
  {
    const std::vector<Number> &independent_local_dofs =
      get_local_dof_values(global_vector_name, dummy);
 
    const FEInterfaceValues<dim, spacedim> &feiv =
      get_current_interface_fe_values();
 
    AssertDimension(independent_local_dofs.size(),
                    feiv.n_current_interface_dofs());
 
    const unsigned int n_q_points = feiv.n_quadrature_points;
 
    const std::string name = get_unique_name(
      global_vector_name, variable, "_average_hessians_q", n_q_points, dummy);
 
    // Now build the return type
    using RetType =
      std::vector<typename FEValuesViews::View<dim, spacedim, Extractor>::
                    template solution_hessian_type<Number>>;
 
    RetType &ret =
      internal_data_storage.template get_or_add_object_with_name<RetType>(
        name, n_q_points);
 
    AssertDimension(ret.size(), n_q_points);
 
    feiv[variable].get_average_of_function_hessians_from_local_dof_values(
      independent_local_dofs, ret);
    return ret;
  }
 
 
#endif
 
} // namespace MeshWorker
 
DEAL_II_NAMESPACE_CLOSE
 
#endif