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// @HEADER
//
// ***********************************************************************
//
//        MueLu: A package for multigrid based preconditioning
//                  Copyright 2012 Sandia Corporation
//
// Under the terms of Contract DE-AC04-94AL85000 with Sandia Corporation,
// the U.S. Government retains certain rights in this software.
//
// Redistribution and use in source and binary forms, with or without
// modification, are permitted provided that the following conditions are
// met:
//
// 1. Redistributions of source code must retain the above copyright
// notice, this list of conditions and the following disclaimer.
//
// 2. Redistributions in binary form must reproduce the above copyright
// notice, this list of conditions and the following disclaimer in the
// documentation and/or other materials provided with the distribution.
//
// 3. Neither the name of the Corporation nor the names of the
// contributors may be used to endorse or promote products derived from
// this software without specific prior written permission.
//
// THIS SOFTWARE IS PROVIDED BY SANDIA CORPORATION "AS IS" AND ANY
// EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
// IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
// PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL SANDIA CORPORATION OR THE
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// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
//
// Questions? Contact
//                    Jonathan Hu       (jhu@sandia.gov)
//                    Andrey Prokopenko (aprokop@sandia.gov)
//                    Ray Tuminaro      (rstumin@sandia.gov)
//
// ***********************************************************************
//
// @HEADER
/*
 * MueLu_BlockedGaussSeidelSmoother_def.hpp
 *
 *  Created on: 30.01.2012
 *      Author: tobias
 */

#ifndef MUELU_BLOCKEDGAUSSSEIDELSMOOTHER_DEF_HPP_
#define MUELU_BLOCKEDGAUSSSEIDELSMOOTHER_DEF_HPP_

#include "Teuchos_ArrayViewDecl.hpp"
#include "Teuchos_ScalarTraits.hpp"

#include "MueLu_ConfigDefs.hpp"

#include <Xpetra_Matrix.hpp>
#include <Xpetra_BlockedCrsMatrix.hpp>
#include <Xpetra_MultiVectorFactory.hpp>

#include "MueLu_BlockedGaussSeidelSmoother_decl.hpp"
#include "MueLu_Level.hpp"
#include "MueLu_Utilities.hpp"
#include "MueLu_Monitor.hpp"
#include "MueLu_HierarchyHelpers.hpp"
#include "MueLu_SmootherBase.hpp"

namespace MueLu {

  template <class Scalar,class LocalOrdinal, class GlobalOrdinal, class Node>
  BlockedGaussSeidelSmoother<Scalar, LocalOrdinal, GlobalOrdinal, Node>::BlockedGaussSeidelSmoother()
    : type_("blocked GaussSeidel"), A_(Teuchos::null)
  {
    FactManager_.reserve(10);
  }

  template <class Scalar,class LocalOrdinal, class GlobalOrdinal, class Node>
  BlockedGaussSeidelSmoother<Scalar, LocalOrdinal, GlobalOrdinal, Node>::~BlockedGaussSeidelSmoother() {}

  template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
  RCP<const ParameterList> BlockedGaussSeidelSmoother<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");
    validParamList->set< Scalar >                ("Damping factor",     1.0, "Damping/Scaling factor in BGS");
    validParamList->set< LocalOrdinal >          ("Sweeps",             1, "Number of BGS sweeps (default = 1)");

    return validParamList;
  }

  template <class Scalar,class LocalOrdinal, class GlobalOrdinal, class Node>
  void BlockedGaussSeidelSmoother<Scalar, LocalOrdinal, GlobalOrdinal, Node>::AddFactoryManager(RCP<const FactoryManagerBase> FactManager, int pos) {
    TEUCHOS_TEST_FOR_EXCEPTION(pos < 0, Exceptions::RuntimeError, "MueLu::BlockedGaussSeidelSmoother::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 BlockedGaussSeidelSmoother<Scalar, LocalOrdinal, GlobalOrdinal, Node>::DeclareInput(Level &currentLevel) const {
    //this->Input(currentLevel, "A");
    // TODO: check me: why is this->Input not freeing properly A in release mode?
    currentLevel.DeclareInput("A",this->GetFactory("A").get());

    // 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());
    }

    //RCP<Teuchos::FancyOStream> out = Teuchos::fancyOStream(Teuchos::rcpFromRef(std::cout));
  }

  template <class Scalar,class LocalOrdinal, class GlobalOrdinal, class Node>
  void BlockedGaussSeidelSmoother<Scalar, LocalOrdinal, GlobalOrdinal, Node>::Setup(Level &currentLevel) {
    //typedef Xpetra::BlockedCrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node> BlockedCrsOMatrix;

    RCP<Teuchos::FancyOStream> out = Teuchos::fancyOStream(Teuchos::rcpFromRef(std::cout));

    FactoryMonitor m(*this, "Setup blocked Gauss-Seidel Smoother", currentLevel);
    if (SmootherPrototype::IsSetup() == true) this->GetOStream(Warnings0) << "MueLu::BlockedGaussSeidelSmoother::Setup(): Setup() has already been called";

    // extract blocked operator A from current level
    A_ = Factory::Get< RCP<Matrix> >(currentLevel, "A"); // A needed for extracting map extractors
    RCP<BlockedCrsMatrix> bA = Teuchos::rcp_dynamic_cast<BlockedCrsMatrix>(A_);
    TEUCHOS_TEST_FOR_EXCEPTION(bA==Teuchos::null, Exceptions::BadCast, "MueLu::BlockedPFactory::Build: input matrix A is not of type BlockedCrsMatrix! error.");

    // plausibility check
    TEUCHOS_TEST_FOR_EXCEPTION(bA->Rows() != FactManager_.size(), Exceptions::RuntimeError, "MueLu::BlockedPFactory::Build: number of block rows of A does not match number of SubFactoryManagers. error.");
    TEUCHOS_TEST_FOR_EXCEPTION(bA->Cols() != FactManager_.size(), Exceptions::RuntimeError, "MueLu::BlockedPFactory::Build: number of block cols of A does not match number of SubFactoryManagers. error.");

    // store map extractors
    rangeMapExtractor_  = bA->getRangeMapExtractor();
    domainMapExtractor_ = bA->getDomainMapExtractor();

    Teuchos::RCP<Teuchos::FancyOStream> fos = Teuchos::getFancyOStream(Teuchos::rcpFromRef(std::cout));

    // loop over all factory managers for the subblocks of blocked operator A
    size_t bgsOrderingIndex = 0;
    //std::map<size_t,size_t> bgsOrderingIndex2blockRowIndex;
    std::vector<Teuchos::RCP<const FactoryManagerBase> >::const_iterator it;
    for(it = FactManager_.begin(); it!=FactManager_.end(); ++it) {
      SetFactoryManager currentSFM  (rcpFromRef(currentLevel),   *it);

      // extract Smoother for current block row (BGS ordering)
      RCP<const SmootherBase> Smoo = currentLevel.Get< RCP<SmootherBase> >("PreSmoother",(*it)->GetFactory("Smoother").get());
      Inverse_.push_back(Smoo);

      // extract i-th diagonal block Aii -> determine block
      /*currentLevel.print(*out, Teuchos::VERB_EXTREME);
      std::cout << "BGS: need A from factory " << (*it)->GetFactory("A").get() << std::endl;
      RCP<Matrix> Aii = currentLevel.Get< RCP<Matrix> >("A",(*it)->GetFactory("A").get());
      currentLevel.print(*out, Teuchos::VERB_EXTREME);
      for(size_t i = 0; i<rangeMapExtractor_->NumMaps(); i++) {
        if(rangeMapExtractor_->getMap(i)->isSameAs(*(Aii->getRangeMap()))) {
          // map found: i is the true block row index
          // fill std::map with information bgsOrderingIndex -> i
          bgsOrderingIndex2blockRowIndex_[bgsOrderingIndex] = i;
          break;
        }
      }*/
      bgsOrderingIndex2blockRowIndex_[bgsOrderingIndex] = bgsOrderingIndex; // TODO fix me

      bgsOrderingIndex++;
    }

    SmootherPrototype::IsSetup(true);
  }

  // This function is equivalent to the std::map 'at' method introduced in C++11.
  // TODO: move to Utils
  template <class StdMapType>
  const typename StdMapType::mapped_type & at(const StdMapType& map, const typename StdMapType::key_type& x) {
    typename StdMapType::const_iterator it = map.find(x);
    TEUCHOS_TEST_FOR_EXCEPTION(it == map.end(), std::out_of_range, "MueLu::at(): element does not exist in the map");
    return it->second;
  }

  template <class Scalar,class LocalOrdinal, class GlobalOrdinal, class Node>
  void BlockedGaussSeidelSmoother<Scalar, LocalOrdinal, GlobalOrdinal, Node>::Apply(MultiVector &X, const MultiVector& B, bool InitialGuessIsZero) const
  {
    TEUCHOS_TEST_FOR_EXCEPTION(SmootherPrototype::IsSetup() == false, Exceptions::RuntimeError, "MueLu::BlockedGaussSeidelSmoother::Apply(): Setup() has not been called");

    RCP<Xpetra::MultiVector<Scalar, LocalOrdinal, GlobalOrdinal, Node> > residual = MultiVectorFactory::Build(B.getMap(), B.getNumVectors());
    RCP<Xpetra::MultiVector<Scalar, LocalOrdinal, GlobalOrdinal, Node> > tempres = MultiVectorFactory::Build(B.getMap(), B.getNumVectors());
    RCP<MultiVector> rcpX = Teuchos::rcpFromRef(X);


    //Teuchos::RCP<Teuchos::FancyOStream> fos = Teuchos::getFancyOStream(Teuchos::rcpFromRef(std::cout));

    // extract parameters from internal parameter list
    const ParameterList & pL = Factory::GetParameterList();
    LocalOrdinal nSweeps = pL.get<LocalOrdinal>("Sweeps");
    Scalar omega = pL.get<Scalar>("Damping factor");

    // outer Richardson loop
    for (LocalOrdinal run = 0; run < nSweeps; ++run) {
      // one BGS sweep
      // loop over all block rows
      for(size_t i = 0; i<Inverse_.size(); i++) {

        // calculate block residual r = B-A*X
        // note: A_ is the full blocked operator
        residual->update(1.0,B,0.0); // r = B
        A_->apply(X, *residual, Teuchos::NO_TRANS, -1.0, 1.0);

        // extract corresponding subvectors from X and residual
        size_t blockRowIndex = at(bgsOrderingIndex2blockRowIndex_, i); // == bgsOrderingIndex2blockRowIndex_.at(i) (only available since C++11)
        Teuchos::RCP<MultiVector> Xi = domainMapExtractor_->ExtractVector(rcpX, blockRowIndex);
        Teuchos::RCP<MultiVector> ri = rangeMapExtractor_->ExtractVector(residual, blockRowIndex);

        Teuchos::RCP<MultiVector> tXi = domainMapExtractor_->getVector(blockRowIndex, X.getNumVectors());

        // apply solver/smoother
        Inverse_.at(i)->Apply(*tXi, *ri, false);

        // update vector
        Xi->update(omega,*tXi,1.0);  // X_{i+1} = X_i + omega \Delta X_i

        // update corresponding part of rhs and lhs
        domainMapExtractor_->InsertVector(Xi, blockRowIndex, rcpX); // TODO wrong! fix me
      }
    }

  }

  template <class Scalar,class LocalOrdinal, class GlobalOrdinal, class Node>
  RCP<MueLu::SmootherPrototype<Scalar, LocalOrdinal, GlobalOrdinal, Node> > BlockedGaussSeidelSmoother<Scalar, LocalOrdinal, GlobalOrdinal, Node>::Copy() const {
    return rcp( new BlockedGaussSeidelSmoother(*this) );
  }

  template <class Scalar,class LocalOrdinal, class GlobalOrdinal, class Node>
  std::string BlockedGaussSeidelSmoother<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 BlockedGaussSeidelSmoother<Scalar, LocalOrdinal, GlobalOrdinal, Node>::print(Teuchos::FancyOStream &out, const VerbLevel verbLevel) const {
    MUELU_DESCRIBE;

    // extract parameters from internal parameter list
    const ParameterList & pL = Factory::GetParameterList();
    LocalOrdinal nSweeps = pL.get<LocalOrdinal>("Sweeps");
    Scalar omega = pL.get<Scalar>("Damping factor");

    if (verbLevel & Parameters0) {
      out0 << "Prec. type: " << type_ << " Sweeps: " << nSweeps << " damping: " << omega << std::endl;
    }

    if (verbLevel & Debug) {
      std::map<size_t,size_t>::const_iterator itOrdering;
      for(itOrdering = bgsOrderingIndex2blockRowIndex_.begin(); itOrdering!=bgsOrderingIndex2blockRowIndex_.end(); itOrdering++) {
        std::cout << "block GaussSeidel ordering index: " << (*itOrdering).first << " -> block row in blocked A: " << (*itOrdering).second << std::endl;
      }
    }

    if (verbLevel & Debug) {
      out0 << "IsSetup: " << Teuchos::toString(SmootherPrototype::IsSetup()) << std::endl;
    }
  }

} // namespace MueLu



#endif /* MUELU_BLOCKEDGAUSSSEIDELSMOOTHER_DEF_HPP_ */