ProblemStat.inc.hpp

#pragma once

#include <map>
#include <string>
#include <utility>

#include <dune/common/timer.hh>
#include <dune/typetree/childextraction.hh>

#include <amdis/AdaptInfo.hpp>
#include <amdis/FileWriter.hpp>
#include <amdis/LocalAssembler.hpp>
#include <amdis/GridFunctionOperator.hpp>
#include <amdis/common/Loops.hpp>

namespace AMDiS {

template <class Traits>
void ProblemStat<Traits>::initialize(
    Flag initFlag,
    Self* adoptProblem,
    Flag adoptFlag)
{
  // create grids
  if (grid_) {
    warning("grid already created");
  }
  else {
    if (initFlag.isSet(CREATE_MESH) ||
        (!adoptFlag.isSet(INIT_MESH) &&
        (initFlag.isSet(INIT_SYSTEM) || initFlag.isSet(INIT_FE_SPACE)))) {
      createGrid();
    }

    if (adoptProblem &&
        (adoptFlag.isSet(INIT_MESH) ||
        adoptFlag.isSet(INIT_SYSTEM) ||
        adoptFlag.isSet(INIT_FE_SPACE))) {
      grid_ = adoptProblem->grid_;
    }
  }

  if (!grid_)
    warning("no grid created");

  int globalRefinements = 0;
  Parameters::get(gridName_ + "->global refinements", globalRefinements);
  if (globalRefinements > 0) {
    grid_->globalRefine(globalRefinements);
  }


  // create fespace
  if (globalBasis_) {
    warning("globalBasis already created");
  }
  else {
    if (initFlag.isSet(INIT_FE_SPACE) ||
        (initFlag.isSet(INIT_SYSTEM) && !adoptFlag.isSet(INIT_FE_SPACE))) {
      createGlobalBasis();
    }

    if (adoptProblem &&
        (adoptFlag.isSet(INIT_FE_SPACE) || adoptFlag.isSet(INIT_SYSTEM))) {
      globalBasis_ = adoptProblem->globalBasis_;
      initGlobalBasis(*globalBasis_);
    }
  }

  if (!globalBasis_)
    warning("no globalBasis created\n");


  // create system
  if (initFlag.isSet(INIT_SYSTEM))
    createMatricesAndVectors();

  if (adoptProblem && adoptFlag.isSet(INIT_SYSTEM)) {
    solution_ = adoptProblem->solution_;
    estimates_ = adoptProblem->estimates_;
    rhs_ = adoptProblem->rhs_;
    systemMatrix_ = adoptProblem->systemMatrix_;
  }


  // create solver
  if (linearSolver_) {
    warning("solver already created\n");
  }
  else {
    if (initFlag.isSet(INIT_SOLVER))
      createSolver();

    if (adoptProblem && adoptFlag.isSet(INIT_SOLVER)) {
      test_exit(!linearSolver_, "solver already created\n");
      linearSolver_ = adoptProblem->linearSolver_;
    }
  }

  if (!linearSolver_) {
    warning("no solver created\n");
  }

  // create marker
    if (initFlag.isSet(INIT_MARKER))
      createMarker();

    if (adoptProblem && adoptFlag.isSet(INIT_MARKER))
      marker_ = adoptProblem->marker_;


  // create file writer
  if (initFlag.isSet(INIT_FILEWRITER))
    createFileWriter();

  solution_->compress();
}


template <class Traits>
void ProblemStat<Traits>::createMarker()
{
  AMDiS::forEachNode_(localView_->tree(), [&,this](auto const& node, auto treePath)
  {
    std::string componentName = name_ + "->marker[" + to_string(treePath) + "]";

    if (!Parameters::get<std::string>(componentName + "->strategy"))
      return;

    std::string tp = to_string(treePath);
    auto newMarker = Marker<Traits>::createMarker(componentName, tp, estimates_[tp], grid_);
    if (newMarker)
      marker_.push_back(std::move(newMarker));

    // If there is more than one marker, and all components are defined
    // on the same grid, the maximum marking has to be enabled.
    // TODO: needs to be checked!
    if (marker_.size() > 1)
      marker_.back()->setMaximumMarking(true);
  });
}


template <class Traits>
void ProblemStat<Traits>::createFileWriter()
{
  forEachNode_(localView_->tree(), [&,this](auto const& node, auto treePath)
  {
    std::string componentName = name_ + "->output[" + to_string(treePath) + "]";

    if (!Parameters::get<std::string>(componentName + "->filename"))
      return;

    auto writer = makeFileWriterPtr(componentName, this->getSolution(treePath));
    filewriter_.push_back(std::move(writer));
  });
}


// Adds a Dirichlet boundary condition
template <class Traits>
  template <class Predicate, class RowTreePath, class ColTreePath, class Values>
void ProblemStat<Traits>::
addDirichletBC(Predicate const& predicate, RowTreePath row, ColTreePath col, Values const& values)
{
  static_assert( Concepts::Functor<Predicate, bool(WorldVector)>,
    "Function passed to addDirichletBC for `predicate` does not model the Functor<bool(WorldVector)> concept");

  auto i = child(localView_->tree(), makeTreePath(row));
  auto j = child(localView_->tree(), makeTreePath(col));

  auto valueGridFct = makeGridFunction(values, globalBasis_->gridView());

  using Range = RangeType_t<decltype(i)>;
  using BcType = DirichletBC<WorldVector,Range>;
  auto bc = std::make_shared<BcType>(predicate, valueGridFct);
  constraints_[i][j].push_back(bc);
  // TODO: make DirichletBC an abstract class and add specialization with gridfunction type
}


template <class Traits>
void ProblemStat<Traits>::
solve(AdaptInfo& adaptInfo, bool createMatrixData, bool storeMatrixData)
{
  Dune::Timer t;

  SolverInfo solverInfo(name_ + "->solver");
  solverInfo.setCreateMatrixData(createMatrixData);
  solverInfo.setStoreMatrixData(storeMatrixData);

  solution_->compress();

  linearSolver_->solve(systemMatrix_->matrix(), solution_->vector(), rhs_->vector(),
                      solverInfo);

  if (solverInfo.getInfo() > 0) {
    msg("solution of discrete system needed {} seconds", t.elapsed());

    if (solverInfo.getAbsResidual() >= 0.0) {
      if (solverInfo.getRelResidual() >= 0.0)
        msg("Residual norm: ||b-Ax|| = {}, ||b-Ax||/||b|| = {}",
          solverInfo.getAbsResidual(), solverInfo.getRelResidual());
      else
        msg("Residual norm: ||b-Ax|| = {}", solverInfo.getAbsResidual());
    }
  }

  if (solverInfo.doBreak()) {
    std::stringstream tol_str;
    if (solverInfo.getAbsTolerance() > 0
        && solverInfo.getAbsResidual() > solverInfo.getAbsTolerance())
      tol_str << "absTol = " << solverInfo.getAbsTolerance() << " ";
    if (solverInfo.getRelTolerance() > 0
        && solverInfo.getRelResidual() > solverInfo.getRelTolerance())
      tol_str << "relTol = " << solverInfo.getRelTolerance() << " ";
    error_exit("Tolerance {} could not be reached!", tol_str.str());
  }
}


template <class Traits>
Flag ProblemStat<Traits>::markElements(AdaptInfo& adaptInfo)
{
  Dune::Timer t;

  Flag markFlag = 0;
  for (auto& currentMarker : marker_)
    markFlag |= currentMarker->markGrid(adaptInfo);

  msg("markElements needed {} seconds", t.elapsed());

  return markFlag;
}


template <class Traits>
Flag ProblemStat<Traits>::
adaptGrid(AdaptInfo& adaptInfo)
{
  Dune::Timer t;

  grid_->preAdapt();
  grid_->adapt();
  globalBasis_->update(gridView());
  grid_->postAdapt();

  msg("adaptGrid needed {} seconds", t.elapsed());
  return 0;
}


template <class Traits>
void ProblemStat<Traits>::
buildAfterAdapt(AdaptInfo& /*adaptInfo*/, Flag /*flag*/, bool asmMatrix, bool asmVector)
{
  Dune::Timer t;

  // 1. init matrix and rhs vector and initialize dirichlet boundary conditions
  systemMatrix_->init(asmMatrix);
  rhs_->init(asmVector);
  solution_->resize(*globalBasis_);

  forEachNode_(localView_->tree(), [&,this](auto const& rowNode, auto rowTreePath) {
    auto rowBasis = Dune::Functions::subspaceBasis(*globalBasis_, rowTreePath);
    forEachNode_(localView_->tree(), [&,this](auto const& colNode, auto colTreePath) {
      auto colBasis = Dune::Functions::subspaceBasis(*globalBasis_, colTreePath);
      for (auto bc : constraints_[rowNode][colNode])
        bc->init(*systemMatrix_, *solution_, *rhs_, rowBasis, colBasis);
    });
  });
  msg("{} total DOFs", globalBasis_->dimension());

  // 2. traverse grid and assemble operators on the elements
  for (auto const& element : elements(gridView())) {
    localView_->bind(element);
    auto geometry = element.geometry();

    if (asmMatrix)
      systemMatrix_->assemble(element, geometry, *localView_, *localView_);
    if (asmVector)
      rhs_->assemble(element, geometry, *localView_);

    localView_->unbind();
  }

  // 3. finish matrix insertion and apply dirichlet boundary conditions
  systemMatrix_->finish(asmMatrix);
  rhs_->finish(asmVector);

  forEachNode_(localView_->tree(), [&,this](auto const& rowNode, auto rowTreePath) {
    auto rowBasis = Dune::Functions::subspaceBasis(*globalBasis_, rowTreePath);
    forEachNode_(localView_->tree(), [&,this](auto const& colNode, auto colTreePath) {
      auto colBasis = Dune::Functions::subspaceBasis(*globalBasis_, colTreePath);
      // finish boundary condition
      for (auto bc : constraints_[rowNode][colNode])
        bc->finish(*systemMatrix_, *solution_, *rhs_, rowBasis, colBasis);
    });
  });

  msg("fill-in of assembled matrix: {}", systemMatrix_->nnz());
  msg("buildAfterAdapt needed {} seconds", t.elapsed());
}


template <class Traits>
void ProblemStat<Traits>::
writeFiles(AdaptInfo& adaptInfo, bool force)
{
  Dune::Timer t;
  for (auto writer : filewriter_)
    writer->writeFiles(adaptInfo, force);
  msg("writeFiles needed {} seconds", t.elapsed());
}


} // end namespace AMDiS