File: fe_values.cc

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// ------------------------------------------------------------------------
//
// SPDX-License-Identifier: LGPL-2.1-or-later
// Copyright (C) 2005 - 2025 by the deal.II authors
//
// This file is part of the deal.II library.
//
// Part of the source code is dual licensed under Apache-2.0 WITH
// LLVM-exception OR LGPL-2.1-or-later. Detailed license information
// governing the source code and code contributions can be found in
// LICENSE.md and CONTRIBUTING.md at the top level directory of deal.II.
//
// ------------------------------------------------------------------------

#include <deal.II/base/thread_management.h>

#include <deal.II/fe/mapping_q1.h>

#include <deal.II/hp/fe_values.h>

#include <memory>
#include <numeric>


DEAL_II_NAMESPACE_OPEN

namespace hp
{
  namespace
  {
    /**
     * Given a quadrature collection, create a vector of quadrature collections
     * with each containing one quadrature rule from the input collection.
     */
    template <int q_dim>
    std::vector<QCollection<q_dim>>
    translate(const QCollection<q_dim> &q_collection)
    {
      std::vector<QCollection<q_dim>> q_collections;

      q_collections.reserve(q_collection.size());
      for (unsigned int q = 0; q < q_collection.size(); ++q)
        q_collections.emplace_back(q_collection[q]);

      return q_collections;
    }

    /**
     * Given a vector of quadrature collections, extract the first quadrature
     * rule of each collection and construct with these a new collection.
     */
    template <int q_dim>
    QCollection<q_dim>
    translate(const std::vector<QCollection<q_dim>> &q_collections)
    {
      QCollection<q_dim> result;

      for (unsigned int q = 0; q < q_collections.size(); ++q)
        result.push_back(q_collections[q][0]);

      return result;
    }
  } // namespace

  // -------------------------- FEValuesBase -------------------------

  template <int dim, int q_dim, typename FEValuesType>
  FEValuesBase<dim, q_dim, FEValuesType>::FEValuesBase(
    const MappingCollection<dim, FEValuesType::space_dimension>
                                                           &mapping_collection,
    const FECollection<dim, FEValuesType::space_dimension> &fe_collection,
    const QCollection<q_dim>                               &q_collection,
    const UpdateFlags                                       update_flags)
    : fe_collection(&fe_collection)
    , mapping_collection(&mapping_collection)
    , q_collection(q_collection)
    , q_collections(translate(q_collection))
    , fe_values_table(fe_collection.size(),
                      mapping_collection.size(),
                      q_collection.size())
    , present_fe_values_index(numbers::invalid_unsigned_int,
                              numbers::invalid_unsigned_int,
                              numbers::invalid_unsigned_int)
    , update_flags(update_flags)
  {}

  template <int dim, int q_dim, typename FEValuesType>
  FEValuesBase<dim, q_dim, FEValuesType>::FEValuesBase(
    const MappingCollection<dim, FEValuesType::space_dimension>
                                                           &mapping_collection,
    const FECollection<dim, FEValuesType::space_dimension> &fe_collection,
    const std::vector<QCollection<q_dim>>                  &q_collections,
    const UpdateFlags                                       update_flags)
    : fe_collection(&fe_collection)
    , mapping_collection(&mapping_collection)
    , q_collection(translate(q_collections))
    , q_collections(q_collections)
    , fe_values_table(fe_collection.size(),
                      mapping_collection.size(),
                      q_collection.size())
    , present_fe_values_index(numbers::invalid_unsigned_int,
                              numbers::invalid_unsigned_int,
                              numbers::invalid_unsigned_int)
    , update_flags(update_flags)
  {}


  template <int dim, int q_dim, typename FEValuesType>
  FEValuesBase<dim, q_dim, FEValuesType>::FEValuesBase(
    const FECollection<dim, FEValuesType::space_dimension> &fe_collection,
    const QCollection<q_dim>                               &q_collection,
    const UpdateFlags                                       update_flags)
    : FEValuesBase(
        dealii::hp::StaticMappingQ1<dim, FEValuesType::space_dimension>::
          mapping_collection,
        fe_collection,
        q_collection,
        update_flags)
  {}


  template <int dim, int q_dim, typename FEValuesType>
  FEValuesBase<dim, q_dim, FEValuesType>::FEValuesBase(
    const FECollection<dim, FEValuesType::space_dimension> &fe_collection,
    const std::vector<QCollection<q_dim>>                  &q_collection,
    const UpdateFlags                                       update_flags)
    : FEValuesBase(
        dealii::hp::StaticMappingQ1<dim, FEValuesType::space_dimension>::
          mapping_collection,
        fe_collection,
        q_collection,
        update_flags)
  {}



  template <int dim, int q_dim, typename FEValuesType>
  FEValuesBase<dim, q_dim, FEValuesType>::FEValuesBase(
    const FEValuesBase<dim, q_dim, FEValuesType> &other)
    : EnableObserverPointer(other)
    , fe_collection(other.fe_collection)
    , mapping_collection(other.mapping_collection)
    , q_collection(other.q_collection)
    , q_collections(other.q_collections)
    , fe_values_table(other.fe_values_table.size(0),
                      other.fe_values_table.size(1),
                      other.fe_values_table.size(2))
    , present_fe_values_index(other.present_fe_values_index)
    , update_flags(other.update_flags)
  {
    // We've already resized the `fe_values_table` correctly above, but right
    // now it just contains nullptrs. Create copies of the objects that
    // `other.fe_values_table` stores
    Threads::TaskGroup<> task_group;
    for (unsigned int fe_index = 0; fe_index < other.fe_values_table.size(0);
         ++fe_index)
      for (unsigned int m_index = 0; m_index < other.fe_values_table.size(1);
           ++m_index)
        for (unsigned int q_index = 0; q_index < other.fe_values_table.size(2);
             ++q_index)
          if (other.fe_values_table[fe_index][m_index][q_index].get() !=
              nullptr)
            task_group += Threads::new_task([&, fe_index, m_index, q_index]() {
              fe_values_table[fe_index][m_index][q_index] =
                std::make_unique<FEValuesType>((*mapping_collection)[m_index],
                                               (*fe_collection)[fe_index],
                                               q_collections[q_index],
                                               update_flags);
            });

    task_group.join_all();
  }



  template <int dim, int q_dim, typename FEValuesType>
  FEValuesType &
  FEValuesBase<dim, q_dim, FEValuesType>::select_fe_values(
    const unsigned int fe_index,
    const unsigned int mapping_index,
    const unsigned int q_index)
  {
    AssertIndexRange(fe_index, fe_collection->size());
    AssertIndexRange(mapping_index, mapping_collection->size());
    AssertIndexRange(q_index, q_collections.size());


    // set the triple of indices that we want to work with
    present_fe_values_index = {fe_index, mapping_index, q_index};

    // first check whether we already have an object for this particular
    // combination of indices
    if (fe_values_table(present_fe_values_index).get() == nullptr)
      fe_values_table(present_fe_values_index) =
        std::make_unique<FEValuesType>((*mapping_collection)[mapping_index],
                                       (*fe_collection)[fe_index],
                                       q_collections[q_index],
                                       update_flags);

    // now there definitely is one!
    return *fe_values_table(present_fe_values_index);
  }



  template <int dim, int q_dim, typename FEValuesType>
  void
  FEValuesBase<dim, q_dim, FEValuesType>::precalculate_fe_values(
    const std::vector<unsigned int> &fe_indices,
    const std::vector<unsigned int> &mapping_indices,
    const std::vector<unsigned int> &q_indices)
  {
    AssertDimension(fe_indices.size(), mapping_indices.size());
    AssertDimension(fe_indices.size(), q_indices.size());

    Threads::TaskGroup<> task_group;
    for (unsigned int i = 0; i < fe_indices.size(); ++i)
      {
        const unsigned int fe_index      = fe_indices[i],
                           mapping_index = mapping_indices[i],
                           q_index       = q_indices[i];

        AssertIndexRange(fe_index, fe_collection->size());
        AssertIndexRange(mapping_index, mapping_collection->size());
        AssertIndexRange(q_index, q_collections.size());

        task_group +=
          Threads::new_task([&, fe_index, mapping_index, q_index]() {
            fe_values_table[fe_index][mapping_index][q_index] =
              std::make_unique<FEValuesType>(
                (*mapping_collection)[mapping_index],
                (*fe_collection)[fe_index],
                q_collections[q_index],
                update_flags);
          });
      }

    task_group.join_all();
  }



  template <int dim, int q_dim, typename FEValuesType>
  void
  FEValuesBase<dim, q_dim, FEValuesType>::precalculate_fe_values()
  {
    const unsigned int        size = fe_collection->size();
    std::vector<unsigned int> indices(size);
    std::iota(indices.begin(), indices.end(), 0);

    precalculate_fe_values(/*fe_indices=*/indices,
                           /*mapping_indices=*/
                           (mapping_collection->size() > 1) ?
                             indices :
                             std::vector<unsigned int>(size, 0),
                           /*q_indices=*/
                           (q_collections.size() > 1) ?
                             indices :
                             std::vector<unsigned int>(size, 0));
  }
} // namespace hp


namespace hp
{
  // -------------------------- FEValues -------------------------


  template <int dim, int spacedim>
  FEValues<dim, spacedim>::FEValues(
    const MappingCollection<dim, spacedim> &mapping,
    const FECollection<dim, spacedim>      &fe_collection,
    const QCollection<dim>                 &q_collection,
    const UpdateFlags                       update_flags)
    : hp::FEValuesBase<dim, dim, dealii::FEValues<dim, spacedim>>(mapping,
                                                                  fe_collection,
                                                                  q_collection,
                                                                  update_flags)
  {}


  template <int dim, int spacedim>
  FEValues<dim, spacedim>::FEValues(
    const FECollection<dim, spacedim> &fe_collection,
    const QCollection<dim>            &q_collection,
    const UpdateFlags                  update_flags)
    : hp::FEValuesBase<dim, dim, dealii::FEValues<dim, spacedim>>(fe_collection,
                                                                  q_collection,
                                                                  update_flags)
  {}


  template <int dim, int spacedim>
  template <bool lda>
  void
  FEValues<dim, spacedim>::reinit(
    const TriaIterator<DoFCellAccessor<dim, spacedim, lda>> &cell,
    const unsigned int                                       q_index,
    const unsigned int                                       mapping_index,
    const unsigned int                                       fe_index)
  {
    // determine which indices we should actually use
    unsigned int real_q_index = q_index, real_mapping_index = mapping_index,
                 real_fe_index = fe_index;

    if (real_q_index == numbers::invalid_unsigned_int)
      {
        if (this->q_collections.size() > 1)
          real_q_index = cell->active_fe_index();
        else
          real_q_index = 0;
      }

    if (real_mapping_index == numbers::invalid_unsigned_int)
      {
        if (this->mapping_collection->size() > 1)
          real_mapping_index = cell->active_fe_index();
        else
          real_mapping_index = 0;
      }

    if (real_fe_index == numbers::invalid_unsigned_int)
      real_fe_index = cell->active_fe_index();

    // some checks
    AssertIndexRange(real_q_index, this->q_collections.size());
    AssertIndexRange(real_mapping_index, this->mapping_collection->size());
    AssertIndexRange(real_fe_index, this->fe_collection->size());

    // now finally actually get the corresponding object and initialize it
    this->select_fe_values(real_fe_index, real_mapping_index, real_q_index)
      .reinit(cell);
  }



  template <int dim, int spacedim>
  void
  FEValues<dim, spacedim>::reinit(
    const typename Triangulation<dim, spacedim>::cell_iterator &cell,
    const unsigned int                                          q_index,
    const unsigned int                                          mapping_index,
    const unsigned int                                          fe_index)
  {
    // determine which indices we should actually use
    unsigned int real_q_index = q_index, real_mapping_index = mapping_index,
                 real_fe_index = fe_index;

    if (real_q_index == numbers::invalid_unsigned_int)
      real_q_index = 0;

    if (real_mapping_index == numbers::invalid_unsigned_int)
      real_mapping_index = 0;

    if (real_fe_index == numbers::invalid_unsigned_int)
      real_fe_index = 0;

    // some checks
    AssertIndexRange(real_q_index, this->q_collections.size());
    AssertIndexRange(real_mapping_index, this->mapping_collection->size());
    AssertIndexRange(real_fe_index, this->fe_collection->size());

    // now finally actually get the corresponding object and initialize it
    this->select_fe_values(real_fe_index, real_mapping_index, real_q_index)
      .reinit(cell);
  }


  // -------------------------- FEFaceValues -------------------------


  template <int dim, int spacedim>
  FEFaceValues<dim, spacedim>::FEFaceValues(
    const hp::MappingCollection<dim, spacedim> &mapping,
    const hp::FECollection<dim, spacedim>      &fe_collection,
    const hp::QCollection<dim - 1>             &q_collection,
    const UpdateFlags                           update_flags)
    : hp::FEValuesBase<dim, dim - 1, dealii::FEFaceValues<dim, spacedim>>(
        mapping,
        fe_collection,
        q_collection,
        update_flags)
  {}

  template <int dim, int spacedim>
  FEFaceValues<dim, spacedim>::FEFaceValues(
    const hp::MappingCollection<dim, spacedim>  &mapping,
    const hp::FECollection<dim, spacedim>       &fe_collection,
    const std::vector<hp::QCollection<dim - 1>> &q_collection,
    const UpdateFlags                            update_flags)
    : hp::FEValuesBase<dim, dim - 1, dealii::FEFaceValues<dim, spacedim>>(
        mapping,
        fe_collection,
        q_collection,
        update_flags)
  {}


  template <int dim, int spacedim>
  FEFaceValues<dim, spacedim>::FEFaceValues(
    const hp::FECollection<dim, spacedim> &fe_collection,
    const hp::QCollection<dim - 1>        &q_collection,
    const UpdateFlags                      update_flags)
    : hp::FEValuesBase<dim, dim - 1, dealii::FEFaceValues<dim, spacedim>>(
        fe_collection,
        q_collection,
        update_flags)
  {}


  template <int dim, int spacedim>
  FEFaceValues<dim, spacedim>::FEFaceValues(
    const hp::FECollection<dim, spacedim>       &fe_collection,
    const std::vector<hp::QCollection<dim - 1>> &q_collection,
    const UpdateFlags                            update_flags)
    : hp::FEValuesBase<dim, dim - 1, dealii::FEFaceValues<dim, spacedim>>(
        fe_collection,
        q_collection,
        update_flags)
  {}


  template <int dim, int spacedim>
  template <bool lda>
  void
  FEFaceValues<dim, spacedim>::reinit(
    const TriaIterator<DoFCellAccessor<dim, spacedim, lda>> &cell,
    const unsigned int                                       face_no,
    const unsigned int                                       q_index,
    const unsigned int                                       mapping_index,
    const unsigned int                                       fe_index)
  {
    // determine which indices we
    // should actually use
    unsigned int real_q_index = q_index, real_mapping_index = mapping_index,
                 real_fe_index = fe_index;

    if (real_q_index == numbers::invalid_unsigned_int)
      {
        if (this->q_collections.size() > 1)
          real_q_index = cell->active_fe_index();
        else
          real_q_index = 0;
      }

    if (real_mapping_index == numbers::invalid_unsigned_int)
      {
        if (this->mapping_collection->size() > 1)
          real_mapping_index = cell->active_fe_index();
        else
          real_mapping_index = 0;
      }

    if (real_fe_index == numbers::invalid_unsigned_int)
      real_fe_index = cell->active_fe_index();

    // some checks
    AssertIndexRange(real_q_index, this->q_collections.size());
    AssertIndexRange(real_mapping_index, this->mapping_collection->size());
    AssertIndexRange(real_fe_index, this->fe_collection->size());

    // now finally actually get the corresponding object and initialize it
    this->select_fe_values(real_fe_index, real_mapping_index, real_q_index)
      .reinit(cell, face_no);
  }



  template <int dim, int spacedim>
  template <bool lda>
  void
  FEFaceValues<dim, spacedim>::reinit(
    const TriaIterator<DoFCellAccessor<dim, spacedim, lda>>    &cell,
    const typename Triangulation<dim, spacedim>::face_iterator &face,
    const unsigned int                                          q_index,
    const unsigned int                                          mapping_index,
    const unsigned int                                          fe_index)
  {
    const auto face_n = cell->face_iterator_to_index(face);
    reinit(cell, face_n, q_index, mapping_index, fe_index);
  }



  template <int dim, int spacedim>
  void
  FEFaceValues<dim, spacedim>::reinit(
    const typename Triangulation<dim, spacedim>::cell_iterator &cell,
    const unsigned int                                          face_no,
    const unsigned int                                          q_index,
    const unsigned int                                          mapping_index,
    const unsigned int                                          fe_index)
  {
    // determine which indices we
    // should actually use
    unsigned int real_q_index = q_index, real_mapping_index = mapping_index,
                 real_fe_index = fe_index;

    if (real_q_index == numbers::invalid_unsigned_int)
      real_q_index = 0;

    if (real_mapping_index == numbers::invalid_unsigned_int)
      real_mapping_index = 0;

    if (real_fe_index == numbers::invalid_unsigned_int)
      real_fe_index = 0;

    // some checks
    AssertIndexRange(real_q_index, this->q_collections.size());
    AssertIndexRange(real_mapping_index, this->mapping_collection->size());
    AssertIndexRange(real_fe_index, this->fe_collection->size());

    // now finally actually get the corresponding object and initialize it
    this->select_fe_values(real_fe_index, real_mapping_index, real_q_index)
      .reinit(cell, face_no);
  }



  template <int dim, int spacedim>
  void
  FEFaceValues<dim, spacedim>::reinit(
    const typename Triangulation<dim, spacedim>::cell_iterator &cell,
    const typename Triangulation<dim, spacedim>::face_iterator &face,
    const unsigned int                                          q_index,
    const unsigned int                                          mapping_index,
    const unsigned int                                          fe_index)
  {
    const auto face_n = cell->face_iterator_to_index(face);
    reinit(cell, face_n, q_index, mapping_index, fe_index);
  }


  // -------------------------- FESubfaceValues -------------------------


  template <int dim, int spacedim>
  FESubfaceValues<dim, spacedim>::FESubfaceValues(
    const hp::MappingCollection<dim, spacedim> &mapping,
    const hp::FECollection<dim, spacedim>      &fe_collection,
    const hp::QCollection<dim - 1>             &q_collection,
    const UpdateFlags                           update_flags)
    : hp::FEValuesBase<dim, dim - 1, dealii::FESubfaceValues<dim, spacedim>>(
        mapping,
        fe_collection,
        q_collection,
        update_flags)
  {}


  template <int dim, int spacedim>
  FESubfaceValues<dim, spacedim>::FESubfaceValues(
    const hp::FECollection<dim, spacedim> &fe_collection,
    const hp::QCollection<dim - 1>        &q_collection,
    const UpdateFlags                      update_flags)
    : hp::FEValuesBase<dim, dim - 1, dealii::FESubfaceValues<dim, spacedim>>(
        fe_collection,
        q_collection,
        update_flags)
  {}


  template <int dim, int spacedim>
  template <bool lda>
  void
  FESubfaceValues<dim, spacedim>::reinit(
    const TriaIterator<DoFCellAccessor<dim, spacedim, lda>> &cell,
    const unsigned int                                       face_no,
    const unsigned int                                       subface_no,
    const unsigned int                                       q_index,
    const unsigned int                                       mapping_index,
    const unsigned int                                       fe_index)
  {
    // determine which indices we should actually use
    unsigned int real_q_index = q_index, real_mapping_index = mapping_index,
                 real_fe_index = fe_index;

    if (real_q_index == numbers::invalid_unsigned_int)
      {
        if (this->q_collections.size() > 1)
          real_q_index = cell->active_fe_index();
        else
          real_q_index = 0;
      }

    if (real_mapping_index == numbers::invalid_unsigned_int)
      {
        if (this->mapping_collection->size() > 1)
          real_mapping_index = cell->active_fe_index();
        else
          real_mapping_index = 0;
      }

    if (real_fe_index == numbers::invalid_unsigned_int)
      real_fe_index = cell->active_fe_index();

    // some checks
    AssertIndexRange(real_q_index, this->q_collections.size());
    AssertIndexRange(real_mapping_index, this->mapping_collection->size());
    AssertIndexRange(real_fe_index, this->fe_collection->size());

    // now finally actually get the corresponding object and initialize it
    this->select_fe_values(real_fe_index, real_mapping_index, real_q_index)
      .reinit(cell, face_no, subface_no);
  }



  template <int dim, int spacedim>
  void
  FESubfaceValues<dim, spacedim>::reinit(
    const typename Triangulation<dim, spacedim>::cell_iterator &cell,
    const unsigned int                                          face_no,
    const unsigned int                                          subface_no,
    const unsigned int                                          q_index,
    const unsigned int                                          mapping_index,
    const unsigned int                                          fe_index)
  {
    // determine which indices we should actually use
    unsigned int real_q_index = q_index, real_mapping_index = mapping_index,
                 real_fe_index = fe_index;

    if (real_q_index == numbers::invalid_unsigned_int)
      real_q_index = 0;

    if (real_mapping_index == numbers::invalid_unsigned_int)
      real_mapping_index = 0;

    if (real_fe_index == numbers::invalid_unsigned_int)
      real_fe_index = 0;

    // some checks
    AssertIndexRange(real_q_index, this->q_collections.size());
    AssertIndexRange(real_mapping_index, this->mapping_collection->size());
    AssertIndexRange(real_fe_index, this->fe_collection->size());

    // now finally actually get the corresponding object and initialize it
    this->select_fe_values(real_fe_index, real_mapping_index, real_q_index)
      .reinit(cell, face_no, subface_no);
  }
} // namespace hp


// explicit instantiations
#include "hp/fe_values.inst"


DEAL_II_NAMESPACE_CLOSE