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// ************************************************************************
//
// Belos: Block Linear Solvers Package
// Copyright 2004 Sandia Corporation
//
// Under the terms of Contract DE-AC04-94AL85000 with Sandia Corporation,
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//
// THIS SOFTWARE IS PROVIDED BY SANDIA CORPORATION "AS IS" AND ANY
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//@HEADER
#ifndef BELOS_FIXEDPOINT_ITER_HPP
#define BELOS_FIXEDPOINT_ITER_HPP
/*! \file BelosFixedPointIter.hpp
\brief Belos concrete class for performing fixed point iteration iteration.
*/
#include "BelosConfigDefs.hpp"
#include "BelosTypes.hpp"
#include "BelosFixedPointIteration.hpp"
#include "BelosLinearProblem.hpp"
#include "BelosOutputManager.hpp"
#include "BelosStatusTest.hpp"
#include "BelosOperatorTraits.hpp"
#include "BelosMultiVecTraits.hpp"
#include "Teuchos_SerialDenseMatrix.hpp"
#include "Teuchos_SerialDenseVector.hpp"
#include "Teuchos_ScalarTraits.hpp"
#include "Teuchos_ParameterList.hpp"
#include "Teuchos_TimeMonitor.hpp"
/*!
\class Belos::FixedPointIter
\brief This class implements the preconditioned fixed point iteration.
\ingroup belos_solver_framework
*/
namespace Belos {
template<class ScalarType, class MV, class OP>
class FixedPointIter : virtual public FixedPointIteration<ScalarType,MV,OP> {
public:
//
// Convenience typedefs
//
typedef MultiVecTraits<ScalarType,MV> MVT;
typedef OperatorTraits<ScalarType,MV,OP> OPT;
typedef Teuchos::ScalarTraits<ScalarType> SCT;
typedef typename SCT::magnitudeType MagnitudeType;
//! @name Constructors/Destructor
//@{
/*! \brief %FixedPointIter constructor with linear problem, solver utilities, and parameter list of solver options.
*
* This constructor takes pointers required by the linear solver iteration, in addition
* to a parameter list of options for the linear solver.
*/
FixedPointIter( const Teuchos::RCP<LinearProblem<ScalarType,MV,OP> > &problem,
const Teuchos::RCP<OutputManager<ScalarType> > &printer,
const Teuchos::RCP<StatusTest<ScalarType,MV,OP> > &tester,
Teuchos::ParameterList ¶ms );
//! Destructor.
virtual ~FixedPointIter() {};
//@}
//! @name Solver methods
//@{
/*! \brief This method performs Fixed Point iterations until the status
* test indicates the need to stop or an error occurs (in which case, an
* std::exception is thrown).
*
* iterate() will first determine whether the solver is initialized; if
* not, it will call initialize() using default arguments. After
* initialization, the solver performs FixedPoint iterations until the
* status test evaluates as ::Passed, at which point the method returns to
* the caller.
*
* The status test is queried at the beginning of the iteration.
*/
void iterate();
/*! \brief Initialize the solver to an iterate, providing a complete state.
*
* The %FixedPointIter contains a certain amount of state, consisting of the current
* residual, preconditioned residual, and decent direction.
*
* initialize() gives the user the opportunity to manually set these,
* although only the current unpreconditioned residual is required.
*
* \post
* <li>isInitialized() == \c true (see post-conditions of isInitialize())
*
* \note For any pointer in \c newstate which directly points to the multivectors in
* the solver, the data is not copied.
*/
void initializeFixedPoint(FixedPointIterationState<ScalarType,MV>& newstate);
/*! \brief Initialize the solver with the initial vectors from the linear problem
* or random data.
*/
void initialize()
{
FixedPointIterationState<ScalarType,MV> empty;
initializeFixedPoint(empty);
}
/*! \brief Get the current state of the linear solver.
*
* The data is only valid if isInitialized() == \c true.
*
* \returns A FixedPointIterationState object containing const pointers to the current solver state.
*/
FixedPointIterationState<ScalarType,MV> getState() const {
FixedPointIterationState<ScalarType,MV> state;
state.R = R_;
state.Z = Z_;
return state;
}
//@}
//! @name Status methods
//@{
//! \brief Get the current iteration count.
int getNumIters() const { return iter_; }
//! \brief Reset the iteration count.
void resetNumIters( int iter = 0 ) { iter_ = iter; }
//! Get the norms of the residuals native to the solver.
//! \return A std::vector of length blockSize containing the native residuals.
Teuchos::RCP<const MV> getNativeResiduals( std::vector<MagnitudeType> *norms ) const { return R_; }
//! Get the current update to the linear system.
/*! \note This method returns a null pointer because the linear problem is current.
*/
Teuchos::RCP<MV> getCurrentUpdate() const { return Teuchos::null; }
//@}
//! @name Accessor methods
//@{
//! Get a constant reference to the linear problem.
const LinearProblem<ScalarType,MV,OP>& getProblem() const { return *lp_; }
//! Get the blocksize to be used by the iterative solver in solving this linear problem.
int getBlockSize() const { return numRHS_; }
//! \brief Set the blocksize to be used by the iterative solver in solving this linear problem.
void setBlockSize(int blockSize);
//! States whether the solver has been initialized or not.
bool isInitialized() { return initialized_; }
//@}
private:
//
// Internal methods
//
//! Method for initalizing the state storage needed by FixedPoint.
void setStateSize();
//
// Classes inputed through constructor that define the linear problem to be solved.
//
const Teuchos::RCP<LinearProblem<ScalarType,MV,OP> > lp_;
const Teuchos::RCP<OutputManager<ScalarType> > om_;
const Teuchos::RCP<StatusTest<ScalarType,MV,OP> > stest_;
// Algorithmic parameters
//
// blockSize_ is the solver block size.
int numRHS_;
//
// Current solver state
//
// initialized_ specifies that the basis vectors have been initialized and the iterate() routine
// is capable of running; _initialize is controlled by the initialize() member method
// For the implications of the state of initialized_, please see documentation for initialize()
bool initialized_;
// stateStorageInitialized_ specifies that the state storage has been initialized.
// This initialization may be postponed if the linear problem was generated without
// the right-hand side or solution vectors.
bool stateStorageInitialized_;
// Current number of iterations performed.
int iter_;
//
// State Storage
//
// Residual
Teuchos::RCP<MV> R_;
//
// Preconditioned residual
Teuchos::RCP<MV> Z_;
//
};
//////////////////////////////////////////////////////////////////////////////////////////////////
// Constructor.
template<class ScalarType, class MV, class OP>
FixedPointIter<ScalarType,MV,OP>::FixedPointIter(const Teuchos::RCP<LinearProblem<ScalarType,MV,OP> > &problem,
const Teuchos::RCP<OutputManager<ScalarType> > &printer,
const Teuchos::RCP<StatusTest<ScalarType,MV,OP> > &tester,
Teuchos::ParameterList ¶ms ):
lp_(problem),
om_(printer),
stest_(tester),
numRHS_(0),
initialized_(false),
stateStorageInitialized_(false),
iter_(0)
{
setBlockSize(params.get("Block Size",MVT::GetNumberVecs(*problem->getCurrRHSVec())));
}
//////////////////////////////////////////////////////////////////////////////////////////////////
// Setup the state storage.
template <class ScalarType, class MV, class OP>
void FixedPointIter<ScalarType,MV,OP>::setStateSize ()
{
if (!stateStorageInitialized_) {
// Check if there is any multivector to clone from.
Teuchos::RCP<const MV> lhsMV = lp_->getLHS();
Teuchos::RCP<const MV> rhsMV = lp_->getRHS();
if (lhsMV == Teuchos::null && rhsMV == Teuchos::null) {
stateStorageInitialized_ = false;
return;
}
else {
// Initialize the state storage
// If the subspace has not be initialized before, generate it using the LHS or RHS from lp_.
if (R_ == Teuchos::null) {
// Get the multivector that is not null.
Teuchos::RCP<const MV> tmp = ( (rhsMV!=Teuchos::null)? rhsMV: lhsMV );
TEUCHOS_TEST_FOR_EXCEPTION(tmp == Teuchos::null,std::invalid_argument,
"Belos::FixedPointIter::setStateSize(): linear problem does not specify multivectors to clone from.");
R_ = MVT::Clone( *tmp, numRHS_ );
Z_ = MVT::Clone( *tmp, numRHS_ );
}
// State storage has now been initialized.
stateStorageInitialized_ = true;
}
}
}
//////////////////////////////////////////////////////////////////////////////////////////////////
// Set the block size and make necessary adjustments.
template <class ScalarType, class MV, class OP>
void FixedPointIter<ScalarType,MV,OP>::setBlockSize(int blockSize)
{
// This routine only allocates space; it doesn't not perform any computation
// any change in size will invalidate the state of the solver.
TEUCHOS_TEST_FOR_EXCEPTION(blockSize != MVT::GetNumberVecs(*lp_->getCurrRHSVec()), std::invalid_argument, "Belos::FixedPointIter::setBlockSize size must match # RHS.");
TEUCHOS_TEST_FOR_EXCEPTION(blockSize <= 0, std::invalid_argument, "Belos::FixedPointIter::setBlockSize was passed a non-positive argument.");
if (blockSize == numRHS_) {
// do nothing
return;
}
if (blockSize!=numRHS_)
stateStorageInitialized_ = false;
numRHS_ = blockSize;
initialized_ = false;
// Use the current blockSize_ to initialize the state storage.
setStateSize();
}
//////////////////////////////////////////////////////////////////////////////////////////////////
// Initialize this iteration object
template <class ScalarType, class MV, class OP>
void FixedPointIter<ScalarType,MV,OP>::initializeFixedPoint(FixedPointIterationState<ScalarType,MV>& newstate)
{
// Initialize the state storage if it isn't already.
if (!stateStorageInitialized_)
setStateSize();
TEUCHOS_TEST_FOR_EXCEPTION(!stateStorageInitialized_,std::invalid_argument,
"Belos::FixedPointIter::initialize(): Cannot initialize state storage!");
// NOTE: In FixedPointIter R_, the initial residual, is required!!!
//
std::string errstr("Belos::FixedPointIter::initialize(): Specified multivectors must have a consistent length and width.");
// Create convenience variables for zero and one.
const ScalarType one = Teuchos::ScalarTraits<ScalarType>::one();
const ScalarType zero = Teuchos::ScalarTraits<ScalarType>::zero();
if (newstate.R != Teuchos::null) {
TEUCHOS_TEST_FOR_EXCEPTION( MVT::GetNumberVecs(*R_) != MVT::GetNumberVecs(*newstate.R),
std::invalid_argument, errstr );
TEUCHOS_TEST_FOR_EXCEPTION( MVT::GetGlobalLength(*newstate.R) != MVT::GetGlobalLength(*R_),
std::invalid_argument, errstr );
TEUCHOS_TEST_FOR_EXCEPTION( MVT::GetNumberVecs(*newstate.R) != numRHS_,
std::invalid_argument, errstr );
// Copy basis vectors from newstate into V
if (newstate.R != R_) {
// copy over the initial residual (unpreconditioned).
MVT::MvAddMv( one, *newstate.R, zero, *newstate.R, *R_ );
}
}
else {
TEUCHOS_TEST_FOR_EXCEPTION(newstate.R == Teuchos::null,std::invalid_argument,
"Belos::FixedPointIter::initialize(): FixedPointIterationState does not have initial residual.");
}
TEUCHOS_TEST_FOR_EXCEPTION(!lp_->getRightPrec().is_null(),std::invalid_argument,
"Belos::FixedPointIter::initialize(): Does not work with right preconditioning");
// The solver is initialized
initialized_ = true;
}
//////////////////////////////////////////////////////////////////////////////////////////////////
// Iterate until the status test informs us we should stop.
template <class ScalarType, class MV, class OP>
void FixedPointIter<ScalarType,MV,OP>::iterate()
{
//
// Allocate/initialize data structures
//
if (initialized_ == false) {
initialize();
}
// Create convenience variables for zero and one.
const ScalarType one = Teuchos::ScalarTraits<ScalarType>::one();
// const MagnitudeType zero = Teuchos::ScalarTraits<MagnitudeType>::zero(); // unused
// Get the current solution vector.
Teuchos::RCP<MV> cur_soln_vec = lp_->getCurrLHSVec();
Teuchos::RCP<const MV> rhs = lp_->getCurrRHSVec();
// Temp vector
Teuchos::RCP<MV> tmp = MVT::Clone( *R_, numRHS_ );
////////////////////////////////////////////////////////////////
// Iterate until the status test tells us to stop.
//
while (stest_->checkStatus(this) != Passed) {
// Increment the iteration
iter_++;
// Compute initial preconditioned residual
if ( lp_->getLeftPrec() != Teuchos::null ) {
lp_->applyLeftPrec( *R_, *Z_ );
}
else {
Z_ = R_;
}
// Update solution vector
MVT::Assign(*cur_soln_vec,*tmp);
MVT::MvAddMv(one,*tmp,one,*Z_,*cur_soln_vec);
lp_->updateSolution();
// Compute new residual
lp_->applyOp(*cur_soln_vec,*tmp);
MVT::MvAddMv(one,*rhs,-one,*tmp,*R_);
} // end while (sTest_->checkStatus(this) != Passed)
}
} // end Belos namespace
#endif /* BELOS_FIXEDPOINT_ITER_HPP */
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