MueLu_IndefBlockedDiagonalSmoother_def.hpp

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// @HEADER
// *****************************************************************************
//        MueLu: A package for multigrid based preconditioning
//
// Copyright 2012 NTESS and the MueLu contributors.
// SPDX-License-Identifier: BSD-3-Clause
// *****************************************************************************
// @HEADER
 
/*
 * MueLu_IndefBlockedDiagonalSmoother_def.hpp
 *
 *  Created on: 13 May 2014
 *      Author: wiesner
 */
 
#ifndef MUELU_INDEFBLOCKEDDIAGONALSMOOTHER_DEF_HPP_
#define MUELU_INDEFBLOCKEDDIAGONALSMOOTHER_DEF_HPP_
 
#include "Teuchos_ArrayViewDecl.hpp"
#include "Teuchos_ScalarTraits.hpp"
 
#include "MueLu_ConfigDefs.hpp"
 
#include <Xpetra_Matrix.hpp>
#include <Xpetra_CrsMatrixWrap.hpp>
#include <Xpetra_BlockedCrsMatrix.hpp>
#include <Xpetra_MultiVectorFactory.hpp>
#include <Xpetra_VectorFactory.hpp>
#include <Xpetra_ReorderedBlockedCrsMatrix.hpp>
 
#include "MueLu_IndefBlockedDiagonalSmoother_decl.hpp"
#include "MueLu_Level.hpp"
#include "MueLu_Monitor.hpp"
#include "MueLu_HierarchyUtils.hpp"
#include "MueLu_SmootherBase.hpp"
 
// include files for default FactoryManager
#include "MueLu_SchurComplementFactory.hpp"
#include "MueLu_FactoryManager.hpp"
 
namespace MueLu {
 
template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
IndefBlockedDiagonalSmoother<Scalar, LocalOrdinal, GlobalOrdinal, Node>::IndefBlockedDiagonalSmoother()
  : type_("IndefiniteBlockDiagonalSmoother")
  , A_(Teuchos::null) {
}
 
template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
IndefBlockedDiagonalSmoother<Scalar, LocalOrdinal, GlobalOrdinal, Node>::~IndefBlockedDiagonalSmoother() {}
 
template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
RCP<const ParameterList> IndefBlockedDiagonalSmoother<Scalar, LocalOrdinal, GlobalOrdinal, Node>::GetValidParameterList() const {
  RCP<ParameterList> validParamList = rcp(new ParameterList());
 
  validParamList->set<RCP<const FactoryBase> >("A", Teuchos::null, "Generating factory of the matrix A (must be a 2x2 block matrix)");
  validParamList->set<Scalar>("Damping factor", 1.0, "Damping/Scaling factor");
  validParamList->set<LocalOrdinal>("Sweeps", 1, "Number of SIMPLE sweeps (default = 1)");
  // validParamList->set< bool >                  ("UseSIMPLEC",         false, "Use SIMPLEC instead of SIMPLE (default = false)");
 
  return validParamList;
}
 
template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
void IndefBlockedDiagonalSmoother<Scalar, LocalOrdinal, GlobalOrdinal, Node>::AddFactoryManager(RCP<const FactoryManagerBase> FactManager, int pos) {
  TEUCHOS_TEST_FOR_EXCEPTION(pos < 0, Exceptions::RuntimeError, "MueLu::IndefBlockedDiagonalSmoother::AddFactoryManager: parameter \'pos\' must not be negative! error.");
 
  size_t myPos = Teuchos::as<size_t>(pos);
 
  if (myPos < FactManager_.size()) {
    // replace existing entris in FactManager_ vector
    FactManager_.at(myPos) = FactManager;
  } else if (myPos == FactManager_.size()) {
    // add new Factory manager in the end of the vector
    FactManager_.push_back(FactManager);
  } else {  // if(myPos > FactManager_.size())
    RCP<Teuchos::FancyOStream> out = Teuchos::fancyOStream(Teuchos::rcpFromRef(std::cout));
    *out << "Warning: cannot add new FactoryManager at proper position " << pos << ". The FactoryManager is just appended to the end. Check this!" << std::endl;
 
    // add new Factory manager in the end of the vector
    FactManager_.push_back(FactManager);
  }
}
 
template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
void IndefBlockedDiagonalSmoother<Scalar, LocalOrdinal, GlobalOrdinal, Node>::DeclareInput(Level &currentLevel) const {
  currentLevel.DeclareInput("A", this->GetFactory("A").get());
 
  TEUCHOS_TEST_FOR_EXCEPTION(FactManager_.size() != 2, Exceptions::RuntimeError, "MueLu::IndefBlockedDiagonalSmoother::DeclareInput: You have to declare two FactoryManagers with a \"Smoother\" object: One for predicting the primary variable and one for the SchurComplement system. The smoother for the SchurComplement system needs a SchurComplementFactory as input for variable \"A\"!");
 
  // loop over all factory managers for the subblocks of blocked operator A
  std::vector<Teuchos::RCP<const FactoryManagerBase> >::const_iterator it;
  for (it = FactManager_.begin(); it != FactManager_.end(); ++it) {
    SetFactoryManager currentSFM(rcpFromRef(currentLevel), *it);
 
    // request "Smoother" for current subblock row.
    currentLevel.DeclareInput("PreSmoother", (*it)->GetFactory("Smoother").get());
  }
}
 
template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
void IndefBlockedDiagonalSmoother<Scalar, LocalOrdinal, GlobalOrdinal, Node>::Setup(Level &currentLevel) {
  FactoryMonitor m(*this, "Setup for indefinite blocked diagonal smoother", currentLevel);
 
  if (SmootherPrototype::IsSetup() == true)
    this->GetOStream(Warnings0) << "MueLu::IndefBlockedDiagonalSmoother::Setup(): Setup() has already been called";
 
  // extract blocked operator A from current level
  A_ = Factory::Get<RCP<Matrix> >(currentLevel, "A");
 
  RCP<BlockedCrsMatrix> bA = Teuchos::rcp_dynamic_cast<BlockedCrsMatrix>(A_);
  TEUCHOS_TEST_FOR_EXCEPTION(bA == Teuchos::null, Exceptions::BadCast, "MueLu::IndefBlockedDiagonalSmoother::Setup: input matrix A is not of type BlockedCrsMatrix! error.");
 
  // store map extractors
  rangeMapExtractor_  = bA->getRangeMapExtractor();
  domainMapExtractor_ = bA->getDomainMapExtractor();
 
  // Store the blocks in local member variables
  Teuchos::RCP<Matrix> A00 = bA->getMatrix(0, 0);
  Teuchos::RCP<Matrix> A01 = bA->getMatrix(0, 1);
  Teuchos::RCP<Matrix> A10 = bA->getMatrix(1, 0);
  Teuchos::RCP<Matrix> A11 = bA->getMatrix(1, 1);
 
  F_ = A00;
  Z_ = A11;
 
  /*const ParameterList & pL = Factory::GetParameterList();
  bool bSIMPLEC = pL.get<bool>("UseSIMPLEC");
 
  // Create the inverse of the diagonal of F
  RCP<Vector> diagFVector = VectorFactory::Build(F_->getRowMap());
  if(!bSIMPLEC) {
    F_->getLocalDiagCopy(*diagFVector);       // extract diagonal of F
    diagFVector->reciprocal(*diagFVector);    // build reciprocal
  } else {
    const RCP<const Map> rowmap = F_->getRowMap();
    size_t locSize = rowmap->getLocalNumElements();
    Teuchos::ArrayRCP<SC> diag = diagFVector->getDataNonConst(0);
    Teuchos::ArrayView<const LO> cols;
    Teuchos::ArrayView<const SC> vals;
    for (size_t i=0; i<locSize; ++i) { // loop over rows
      F_->getLocalRowView(i,cols,vals);
      Scalar absRowSum = Teuchos::ScalarTraits<Scalar>::zero();
      for (LO j=0; j<cols.size(); ++j) { // loop over cols
        absRowSum += Teuchos::ScalarTraits<Scalar>::magnitude(vals[j]);
      }
      diag[i] = absRowSum;
    }
    diagFVector->reciprocal(*diagFVector);    // build reciprocal
  }
  diagFinv_ = diagFVector;*/
 
  // Set the Smoother
  // carefully switch to the SubFactoryManagers (defined by the users)
  {
    RCP<const FactoryManagerBase> velpredictFactManager = FactManager_.at(0);
    SetFactoryManager currentSFM(rcpFromRef(currentLevel), velpredictFactManager);
    velPredictSmoo_ = currentLevel.Get<RCP<SmootherBase> >("PreSmoother", velpredictFactManager->GetFactory("Smoother").get());
  }
  {
    RCP<const FactoryManagerBase> schurFactManager = FactManager_.at(1);
    SetFactoryManager currentSFM(rcpFromRef(currentLevel), schurFactManager);
    schurCompSmoo_ = currentLevel.Get<RCP<SmootherBase> >("PreSmoother", schurFactManager->GetFactory("Smoother").get());
  }
  SmootherPrototype::IsSetup(true);
}
 
template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
void IndefBlockedDiagonalSmoother<Scalar, LocalOrdinal, GlobalOrdinal, Node>::Apply(MultiVector &X, const MultiVector &B, bool /* InitialGuessIsZero */) const {
  TEUCHOS_TEST_FOR_EXCEPTION(SmootherPrototype::IsSetup() == false, Exceptions::RuntimeError, "MueLu::IndefBlockedDiagonalSmoother::Apply(): Setup() has not been called");
 
  Teuchos::RCP<Teuchos::FancyOStream> fos = Teuchos::getFancyOStream(Teuchos::rcpFromRef(std::cout));
 
  SC zero = Teuchos::ScalarTraits<SC>::zero(), one = Teuchos::ScalarTraits<SC>::one();
 
  // extract parameters from internal parameter list
  const ParameterList &pL = Factory::GetParameterList();
  LocalOrdinal nSweeps    = pL.get<LocalOrdinal>("Sweeps");
  Scalar omega            = pL.get<Scalar>("Damping factor");
 
  bool bRangeThyraMode  = rangeMapExtractor_->getThyraMode();
  bool bDomainThyraMode = domainMapExtractor_->getThyraMode();
 
  // wrap current solution vector in RCP
  RCP<MultiVector> rcpX       = Teuchos::rcpFromRef(X);
  RCP<const MultiVector> rcpB = Teuchos::rcpFromRef(B);
 
  // make sure that both rcpX and rcpB are BlockedMultiVector objects
  bool bCopyResultX        = false;
  bool bReorderX           = false;
  bool bReorderB           = false;
  RCP<BlockedCrsMatrix> bA = Teuchos::rcp_dynamic_cast<BlockedCrsMatrix>(A_);
  MUELU_TEST_FOR_EXCEPTION(bA.is_null() == true, Exceptions::RuntimeError, "MueLu::BlockedGaussSeidelSmoother::Apply(): A_ must be a BlockedCrsMatrix");
  RCP<BlockedMultiVector> bX       = Teuchos::rcp_dynamic_cast<BlockedMultiVector>(rcpX);
  RCP<const BlockedMultiVector> bB = Teuchos::rcp_dynamic_cast<const BlockedMultiVector>(rcpB);
 
  // check the type of operator
  RCP<Xpetra::ReorderedBlockedCrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node> > rbA =
      Teuchos::rcp_dynamic_cast<Xpetra::ReorderedBlockedCrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node> >(bA);
 
  if (rbA.is_null() == false) {
    // A is a ReorderedBlockedCrsMatrix and thus uses nested maps, retrieve BlockedCrsMatrix and use plain blocked
    // map for the construction of the blocked multivectors
 
    // check type of X vector
    if (bX.is_null() == true) {
      RCP<MultiVector> vectorWithBlockedMap = Teuchos::rcp(new BlockedMultiVector(rbA->getBlockedCrsMatrix()->getBlockedDomainMap(), rcpX));
      rcpX.swap(vectorWithBlockedMap);
      bCopyResultX = true;
      bReorderX    = true;
    }
 
    // check type of B vector
    if (bB.is_null() == true) {
      RCP<const MultiVector> vectorWithBlockedMap = Teuchos::rcp(new BlockedMultiVector(rbA->getBlockedCrsMatrix()->getBlockedRangeMap(), rcpB));
      rcpB.swap(vectorWithBlockedMap);
      bReorderB = true;
    }
  } else {
    // A is a BlockedCrsMatrix and uses a plain blocked map
    if (bX.is_null() == true) {
      RCP<MultiVector> vectorWithBlockedMap = Teuchos::rcp(new BlockedMultiVector(bA->getBlockedDomainMap(), rcpX));
      rcpX.swap(vectorWithBlockedMap);
      bCopyResultX = true;
    }
 
    if (bB.is_null() == true) {
      RCP<const MultiVector> vectorWithBlockedMap = Teuchos::rcp(new BlockedMultiVector(bA->getBlockedRangeMap(), rcpB));
      rcpB.swap(vectorWithBlockedMap);
    }
  }
 
  // we now can guarantee that X and B are blocked multi vectors
  bX = Teuchos::rcp_dynamic_cast<BlockedMultiVector>(rcpX);
  bB = Teuchos::rcp_dynamic_cast<const BlockedMultiVector>(rcpB);
 
  // Finally we can do a reordering of the blocked multivectors if A is a ReorderedBlockedCrsMatrix
  if (rbA.is_null() == false) {
    Teuchos::RCP<const Xpetra::BlockReorderManager> brm = rbA->getBlockReorderManager();
 
    // check type of X vector
    if (bX->getBlockedMap()->getNumMaps() != bA->getDomainMapExtractor()->NumMaps() || bReorderX) {
      // X is a blocked multi vector but incompatible to the reordered blocked operator A
      Teuchos::RCP<MultiVector> reorderedBlockedVector = buildReorderedBlockedMultiVector(brm, bX);
      rcpX.swap(reorderedBlockedVector);
    }
 
    if (bB->getBlockedMap()->getNumMaps() != bA->getRangeMapExtractor()->NumMaps() || bReorderB) {
      // B is a blocked multi vector but incompatible to the reordered blocked operator A
      Teuchos::RCP<const MultiVector> reorderedBlockedVector = buildReorderedBlockedMultiVector(brm, bB);
      rcpB.swap(reorderedBlockedVector);
    }
  }
 
  // Throughout the rest of the algorithm rcpX and rcpB are used for solution vector and RHS
 
  // create residual vector
  // contains current residual of current solution X with rhs B
  RCP<MultiVector> residual         = MultiVectorFactory::Build(rcpB->getMap(), rcpB->getNumVectors());
  RCP<BlockedMultiVector> bresidual = Teuchos::rcp_dynamic_cast<BlockedMultiVector>(residual);
  Teuchos::RCP<MultiVector> r1      = bresidual->getMultiVector(0, bRangeThyraMode);
  Teuchos::RCP<MultiVector> r2      = bresidual->getMultiVector(1, bRangeThyraMode);
 
  // helper vector 1
  RCP<MultiVector> xtilde         = MultiVectorFactory::Build(rcpX->getMap(), rcpX->getNumVectors());
  RCP<BlockedMultiVector> bxtilde = Teuchos::rcp_dynamic_cast<BlockedMultiVector>(xtilde);
  RCP<MultiVector> xtilde1        = bxtilde->getMultiVector(0, bDomainThyraMode);
  RCP<MultiVector> xtilde2        = bxtilde->getMultiVector(1, bDomainThyraMode);
 
  // incrementally improve solution vector X
  for (LocalOrdinal run = 0; run < nSweeps; ++run) {
    // 1) calculate current residual
    residual->update(one, *rcpB, zero);  // residual = B
    A_->apply(*rcpX, *residual, Teuchos::NO_TRANS, -one, one);
 
    // split residual vector
    // Teuchos::RCP<MultiVector> r1 = rangeMapExtractor_->ExtractVector(residual, 0, bRangeThyraMode);
    // Teuchos::RCP<MultiVector> r2 = rangeMapExtractor_->ExtractVector(residual, 1, bRangeThyraMode);
 
    // 2) solve F * \Delta \tilde{x}_1 = r_1
    //    start with zero guess \Delta \tilde{x}_1
    // RCP<MultiVector> xtilde1 = MultiVectorFactory::Build(r1->getMap(),rcpX->getNumVectors(),true);
    // RCP<MultiVector> xtilde2 = MultiVectorFactory::Build(r2->getMap(),rcpX->getNumVectors(),true);
    bxtilde->putScalar(zero);
    velPredictSmoo_->Apply(*xtilde1, *r1);
 
    // 3) solve SchurComp equation
    //    start with zero guess \Delta \tilde{x}_2
    schurCompSmoo_->Apply(*xtilde2, *r2);
#if 1
    // 4) update solution vector
    rcpX->update(omega, *bxtilde, one);
#else
    Teuchos::RCP<MultiVector> x1 = domainMapExtractor_->ExtractVector(rcpX, 0, bDomainThyraMode);
    Teuchos::RCP<MultiVector> x2 = domainMapExtractor_->ExtractVector(rcpX, 1, bDomainThyraMode);
 
    // 5) update solution vector with increments xhat1 and xhat2
    //    rescale increment for x2 with omega_
    x1->update(omega, *xtilde1, one);  // x1 = x1_old + omega xtilde1
    x2->update(omega, *xtilde2, one);  // x2 = x2_old + omega xtilde2
 
    // write back solution in global vector X
    domainMapExtractor_->InsertVector(x1, 0, rcpX, bDomainThyraMode);
    domainMapExtractor_->InsertVector(x2, 1, rcpX, bDomainThyraMode);
#endif
  }
 
  if (bCopyResultX == true) {
    RCP<MultiVector> Xmerged = bX->Merge();
    X.update(one, *Xmerged, zero);
  }
}
 
template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
RCP<MueLu::SmootherPrototype<Scalar, LocalOrdinal, GlobalOrdinal, Node> >
IndefBlockedDiagonalSmoother<Scalar, LocalOrdinal, GlobalOrdinal, Node>::Copy() const {
  return rcp(new IndefBlockedDiagonalSmoother(*this));
}
 
template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
std::string IndefBlockedDiagonalSmoother<Scalar, LocalOrdinal, GlobalOrdinal, Node>::description() const {
  std::ostringstream out;
  out << SmootherPrototype::description();
  out << "{type = " << type_ << "}";
  return out.str();
}
 
template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
void IndefBlockedDiagonalSmoother<Scalar, LocalOrdinal, GlobalOrdinal, Node>::print(Teuchos::FancyOStream &out, const VerbLevel verbLevel) const {
  MUELU_DESCRIBE;
 
  if (verbLevel & Parameters0) {
    out0 << "Prec. type: " << type_ << /*" Sweeps: " << nSweeps_ << " damping: " << omega_ <<*/ std::endl;
  }
 
  if (verbLevel & Debug) {
    out0 << "IsSetup: " << Teuchos::toString(SmootherPrototype::IsSetup()) << std::endl;
  }
}
template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
size_t IndefBlockedDiagonalSmoother<Scalar, LocalOrdinal, GlobalOrdinal, Node>::getNodeSmootherComplexity() const {
  // FIXME: This is a placeholder
  return Teuchos::OrdinalTraits<size_t>::invalid();
}
 
}  // namespace MueLu
 
#endif /* MUELU_INDEFBLOCKEDDIAGONALSMOOTHER_DEF_HPP_ */