DataTransfer.inc.hpp 16.2 KB
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#pragma once

#include <cmath>
#include <functional>
#include <limits>
#include <map>
#include <memory>
#include <numeric>
#include <type_traits>
#include <unordered_map>
#include <utility>
#include <vector>

#include <dune/common/fvector.hh>
#include <dune/common/hash.hh>

#include <dune/grid/common/mcmgmapper.hh>
#include <dune/grid/common/rangegenerators.hh>

#include <dune/functions/common/functionfromcallable.hh>
#include <dune/functions/functionspacebases/lagrangebasis.hh>

#include <amdis/Output.hpp>
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#include <amdis/common/ConcurrentCache.hpp>
#include <amdis/typetree/TreeContainer.hpp>
#include <amdis/typetree/Visitor.hpp>
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namespace AMDiS
{
  template <class Node, class Container, class Basis>
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  class NodeDataTransfer;
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  /** Data Transfer implementation for a single grid
   *  Handles computations related to the geometric information of the grid and passes that to the
   *    underlying NodeDataTransfer classes
   */
  template <class Container, class Basis>
  class DataTransfer
      : public DataTransferInterface<Container>
  {
    using LocalView = typename Basis::LocalView;
    using Tree = typename LocalView::Tree;
    using GridView = typename Basis::GridView;
    using Grid = typename GridView::Grid;
    using Mapper = Dune::LeafMultipleCodimMultipleGeomTypeMapper<Grid>;

    using IdSet = typename Grid::LocalIdSet;
    using IdType = typename IdSet::IdType;

    using Element = typename GridView::template Codim<0>::Entity;
    using Geometry = typename Element::Geometry;
    using LocalCoordinate = typename Geometry::LocalCoordinate;
    using BoolCoordPair = std::pair<bool, LocalCoordinate>;

    // Hash function for cache container
    struct Hasher
    {
      std::size_t operator()(LocalCoordinate const& coord) const
      {
        std::size_t seed = 0;
        for (std::size_t i = 0; i < coord.size(); ++i)
          Dune::hash_combine(seed, coord[i]);
        return seed;
      }
    };

    using CacheImp = std::unordered_map<LocalCoordinate, BoolCoordPair, Hasher>;
    using ChildCache = ConcurrentCache<LocalCoordinate, BoolCoordPair, ConsecutivePolicy, CacheImp>;

    constexpr static int d = Geometry::coorddimension;
    using ctype = typename Geometry::ctype;

    // Returns the Node's NodeDataTransfer
    struct NDT
    {
      template<class Node>
      auto operator()(const Node& node)
      {
        using NDT = NodeDataTransfer<Node, Container, Basis>;
        return NDT{};
      }
    };

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    using NodeDataTransferContainer = TYPEOF(makeTreeContainer<Tree, NDT>(std::declval<const Tree&>(), NDT()));
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    // Returns the Node's NodeElementData
    struct NodeElementData
    {
      template<class Node>
      auto operator()(const Node& node)
      {
        using NED = typename NodeDataTransfer<Node, Container, Basis>
          ::NodeElementData;
        return NED{};
      }
    };

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    using ElementData = TYPEOF(makeTreeContainer<Tree, NodeElementData>(std::declval<const Tree&>(), NodeElementData()));
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  public:
    // Container with data that persists during grid adaptation
    using PersistentContainer = std::map<IdType, ElementData>;

  public:
    DataTransfer(Basis const& basis)
      : basis_(&basis)
      , mapper_(basis.gridView().grid(), Dune::mcmgElementLayout())
      , finished_(mapper_.size(), false)
      , nodeDataTransfer_(makeTreeContainer<Tree, NDT>(basis_->localView().tree(), NDT()))
    {}

    /** Saves data contained in coeff in the PersistentContainer
     *  To be called after grid.preAdapt() and before grid.adapt()
     */
    void preAdapt(Container const& coeff, bool mightCoarsen) override;

    /** Unpacks data from the PersistentContainer
     *  To be called after grid.adapt() and before grid.postAdapt()
     */
    void postAdapt(Container& coeff, bool refined) override;

  private:
    Basis const* basis_;
    PersistentContainer persistentContainer_;
    Mapper mapper_;
    std::vector<bool> finished_;
    NodeDataTransferContainer nodeDataTransfer_;
  };

  template <class Container, class Basis>
  void DataTransfer<Container, Basis>::preAdapt(Container const& coeff, bool mightCoarsen)
  {
    auto gv = basis_->gridView();
    auto lv = basis_->localView();
    auto const& idSet = gv.grid().localIdSet();

    forEachLeafNode_(lv.tree(), [&](auto const& node, auto const& tp) {
      nodeDataTransfer_[tp].preAdaptInit(lv, coeff, node);
    });

    // Make persistent DoF container
    persistentContainer_.clear();
    for (const auto& e : elements(gv))
    {
      auto it = persistentContainer_.emplace(idSet.id(e),
        makeTreeContainer<Tree, NodeElementData>(lv.tree(), NodeElementData()));

      lv.bind(e);
      auto& treeContainer = it.first->second;
      forEachLeafNode_(lv.tree(), [&](auto const& node, auto const& tp) {
        nodeDataTransfer_[tp].cacheLocal(treeContainer[tp]);
      });
    }

    // Interpolate from possibly vanishing elements
    if (mightCoarsen) {
      auto maxLevel = gv.grid().maxLevel();
      ctype const checkInsideTolerance = std::sqrt(std::numeric_limits<ctype>::epsilon());
      for (auto const& e : elements(gv))
      {
        auto father = e;
        while (father.mightVanish() && father.hasFather())
        {
          father = father.father();
          auto it = persistentContainer_.emplace(idSet.id(father),
            makeTreeContainer<Tree, NodeElementData>(lv.tree(), NodeElementData()));
          if (it.second) {
            auto& treeContainer = it.first->second;
            auto geo = father.geometry();
            bool init = true; // init flag for first call on new father element
            bool restrictLocalCompleted = false;
            auto hItEnd = father.hend(maxLevel);
            for (auto hIt = father.hbegin(maxLevel); hIt != hItEnd; ++hIt) {
              if (hIt->isLeaf()) {
                auto const& child = *hIt;
                auto search = persistentContainer_.find(idSet.id(child));
                assert(search != persistentContainer_.end());
                auto const& childContainer = search->second;
                lv.bind(child);

                auto const& childGeo = child.geometry();
                auto const& ref = Dune::referenceElement(childGeo);
                auto const& refTypeId = ref.type().id();

                // Transfers input father-local point x into child-local point y
                // Returns false if x is not inside the child
                auto xInChild = [&](LocalCoordinate const& x) -> BoolCoordPair {
                  LocalCoordinate local = childGeo.local(geo.global(x));
                  // TODO(FM): Using an implementation detail as workaround for insufficient
                  //   tolerance, see https://gitlab.dune-project.org/core/dune-grid/issues/84
                  bool isInside = Dune::Geo::Impl::template checkInside<ctype,d>
                                    (refTypeId, d, local, checkInsideTolerance);
                  return BoolCoordPair(isInside, std::move(local));
                };

                // TODO(FM): Disable for single-node basis
                ChildCache childCache;
                auto xInChildCached = [&](LocalCoordinate const& x) -> BoolCoordPair {
                  return childCache.get(x, [&](LocalCoordinate const& x) { return xInChild(x); });
                };

                restrictLocalCompleted = true;
                forEachLeafNode_(lv.tree(), [&](auto const& node, auto const& tp) {
                  restrictLocalCompleted &=
                    nodeDataTransfer_[tp].restrictLocal(father, treeContainer[tp], xInChildCached,
                                                        childContainer[tp], init);
                });
                init = false;
              }
            }
            // test if restrictLocal was completed on all nodes
            assert(restrictLocalCompleted);
          }
        }
      }
    }
  }

  template <class Container, class Basis>
  void DataTransfer<Container, Basis>::postAdapt(Container& coeff, bool refined)
  {
    coeff.resize(*basis_);
    auto gv = basis_->gridView();
    auto lv = basis_->localView();
    auto const& idSet = gv.grid().localIdSet();
    forEachLeafNode_(lv.tree(), [&](auto const& node, auto const& tp) {
      nodeDataTransfer_[tp].postAdaptInit(lv, coeff, node);
    });

    mapper_.update();
    finished_.clear();
    finished_.resize(mapper_.size(), false);
    for (const auto& e : elements(gv))
    {
      auto index = mapper_.index(e);
      if (finished_[index])
        continue;

      auto it = persistentContainer_.find(idSet.id(e));

      // Data already exists and no interpolation is required
      if (it != persistentContainer_.end()) {
        lv.bind(e);
        auto const& treeContainer = it->second;
        forEachLeafNode_(lv.tree(), [&](auto const& node, auto const& tp) {
          nodeDataTransfer_[tp].copyLocal(treeContainer[tp]);
        });
        finished_[index] = true;
      }
      // Data needs to be interpolated
      else {
        auto father = e;
        while (father.hasFather() && father.isNew())
          father = father.father();

        auto maxLevel = gv.grid().maxLevel();
        auto fatherGeo = father.geometry();
        bool init = true; // init flag for first call on new father element

        auto it = persistentContainer_.find(idSet.id(father));
        assert(it != persistentContainer_.end());
        auto const& treeContainer = it->second;

        auto hItEnd = father.hend(maxLevel);
        for (auto hIt = father.hbegin(maxLevel); hIt != hItEnd; ++hIt) {
          if (hIt->isLeaf()) {
            auto const& child = *hIt;
            lv.bind(child);

            // coordinate transform from child to father element
            auto xInFather = [&fatherGeo, childGeo = child.geometry()]
              (LocalCoordinate const& x) -> LocalCoordinate
            {
              return fatherGeo.local(childGeo.global(x));
            };

            forEachLeafNode_(lv.tree(), [&](auto const& node, auto const& tp) {
              nodeDataTransfer_[tp].prolongLocal(father, treeContainer[tp], xInFather, init);
            });

            finished_[mapper_.index(child)] = true;
            init = false;
          }
        }
      }
    }
  }

  /** Element-local data transfer on a single leaf node of the basis tree
   *  Handles computations related to the finite element basis node
   */
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  template <class Node, class Container, class Basis>
  class NodeDataTransfer
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  {
    using T = typename Container::value_type;
    using LocalView = typename Basis::LocalView;
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    using Element = typename Node::Element;
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    using LocalBasis = typename Node::FiniteElement::Traits::LocalBasisType;
    using LBRangeType = typename LocalBasis::Traits::RangeType;
    using LocalInterpolation = typename Node::FiniteElement::Traits::LocalBasisType;
    using LIDomainType = typename LocalInterpolation::Traits::DomainType;
    using LIRangeType = typename LocalInterpolation::Traits::RangeType;

  public:
    using NodeElementData = std::vector<T>;

  public:
    NodeDataTransfer() = default;

    /// To be called once before cacheLocal/restrictLocal are called within the preAdapt step
    void preAdaptInit(LocalView const& lv, Container const& coeff, Node const& node)
    {
      lv_ = &lv;
      node_ = &node;
      auto nodeCopy = node;
      fatherNode_ = std::make_unique<Node>(std::move(nodeCopy));
      constCoeff_ = &coeff;
    }

    /// To be called once before copyLocal/prolongLocal are called within the postAdapt step
    void postAdaptInit(LocalView const& lv, Container& coeff, Node const& node)
    {
      lv_ = &lv;
      node_ = &node;
      auto nodeCopy = node;
      fatherNode_ = std::make_unique<Node>(std::move(nodeCopy));
      coeff_ = &coeff;
    }

    /// Cache data on the element bound to node_
    void cacheLocal(NodeElementData& dofs) const
    {
      auto const& fe = node_->finiteElement();
      auto feSize = fe.size();
      dofs.resize(feSize);
      for (std::size_t i = 0; i < feSize; ++i)
        dofs[i] = (*constCoeff_)[lv_->index(node_->localIndex(i))];
    }

    /** Evaluate data on the child element bound to node_ and interpolate onto father entity
     *    using the coordinate transformation trafo from father to child
     */
    template <class Trafo>
    bool restrictLocal(Element const& father, NodeElementData& fatherDOFs, Trafo const& trafo,
                       NodeElementData const& childDOFs, bool init);

    /// Copy already existing data to element bound to node_
    void copyLocal(NodeElementData const& dofs) const
    {
      for (std::size_t i = 0; i < dofs.size(); ++i)
        (*coeff_)[lv_->index(node_->localIndex(i))] = dofs[i];
    }

    /** Interpolate data from father onto the child element bound to node_ using the transformation
     *    trafo from child to father
     */
    template <class Trafo>
    void prolongLocal(Element const& father, NodeElementData const& fatherDOFs,
                      Trafo const& trafo, bool init);

  private:
    LocalView const* lv_;
    Node const* node_;
    std::unique_ptr<Node> fatherNode_;
    Container const* constCoeff_;
    Container* coeff_;
    std::vector<bool> finishedDOFs_;
    NodeElementData fatherDOFsTemp_;
  };

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  template <class Node, class Container, class Basis>
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    template <class Trafo>
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  bool NodeDataTransfer<Node, Container, Basis>::
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    restrictLocal(Element const& father, NodeElementData& fatherDOFs, Trafo const& trafo,
                  NodeElementData const& childDOFs, bool init)
  {
    auto& fatherNode = *fatherNode_;
    std::size_t currentDOF = 0;
    if (init)
    {
      // TODO(FM): This is UB, replace with FE cache for father
      bindTree(fatherNode, father);
    }
    auto const& childNode = *node_;
    auto const& childFE = childNode.finiteElement();
    auto const& fatherFE = fatherNode.finiteElement();
    if (init)
    {
      finishedDOFs_.assign(fatherFE.size(), false);
      fatherDOFsTemp_.assign(fatherFE.size(), 0);
    }

    auto evalLeaf = [&](LIDomainType const& x) -> LIRangeType {
      if (!finishedDOFs_[currentDOF])
      {
        auto const& insideLocal = trafo(x);
        bool isInside = insideLocal.first;
        if (isInside)
        {
          auto const& local = insideLocal.second;
          thread_local std::vector<LBRangeType> shapeValues;
          childFE.localBasis().evaluateFunction(local, shapeValues);

          assert(childDOFs.size() == shapeValues.size());

          LIRangeType y(0);
          for (std::size_t i = 0; i < shapeValues.size(); ++i)
            y += shapeValues[i] * childDOFs[i];

          fatherDOFsTemp_[currentDOF] = y;
          finishedDOFs_[currentDOF++] = true;
          return y;
        }
      }
      return fatherDOFsTemp_[currentDOF++];
    };

    using FFC
      = Dune::Functions::FunctionFromCallable<LIRangeType(LIDomainType), decltype(evalLeaf)>;
    fatherFE.localInterpolation().interpolate(FFC(evalLeaf), fatherDOFs);

    // Return true if all father DOFs have been evaluated
    return std::accumulate(finishedDOFs_.begin(), finishedDOFs_.end(), true,
                           std::logical_and<bool>());
  }

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  template <class Node, class Container, class Basis>
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    template <class Trafo>
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  void NodeDataTransfer<Node, Container, Basis>::
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    prolongLocal(Element const& father, NodeElementData const& fatherDOFs,
                 Trafo const& trafo, bool init)
  {
    auto& fatherNode = *fatherNode_;
    if (init)
    {
      // TODO(FM): This is UB, replace with FE cache for father
      bindTree(fatherNode, father);
    }
    auto const& childNode = *node_;

    // evaluate father in child coordinate x
    auto evalFather = [&](LIDomainType const& x) -> LIRangeType
    {
      thread_local std::vector<LBRangeType> shapeValues;
      fatherNode.finiteElement().localBasis().evaluateFunction(trafo(x), shapeValues);
      assert(shapeValues.size() == fatherDOFs.size());

      LIRangeType y(0);
      for (std::size_t i = 0; i < shapeValues.size(); ++i)
        y += shapeValues[i] * fatherDOFs[i];

      return y;
    };

    auto const& childFE = childNode.finiteElement();
    thread_local std::vector<T> childDOFs;
    using FFC = Dune::Functions
      ::FunctionFromCallable<LIRangeType(LIDomainType), decltype(evalFather)>;
    childFE.localInterpolation().interpolate(FFC(evalFather), childDOFs);

    for (std::size_t i = 0; i < childDOFs.size(); ++i)
      (*coeff_)[lv_->index(childNode.localIndex(i))] = childDOFs[i];
  }

} // end namespace AMDiS