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// LOCA: Library of Continuation Algorithms Package
// Copyright (2005) Sandia Corporation
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#ifndef LOCA_MULTICONTINUATION_EXTENDEDGROUP_H
#define LOCA_MULTICONTINUATION_EXTENDEDGROUP_H
#include "Teuchos_RCP.hpp"
#include "LOCA_MultiContinuation_AbstractStrategy.H" // base class
#include "LOCA_BorderedSystem_AbstractGroup.H" // base class
#include "LOCA_MultiContinuation_ExtendedVector.H" // class data element
#include "LOCA_MultiContinuation_ExtendedMultiVector.H" // class data element
// forward declarations
namespace Teuchos {
class ParameterList;
}
namespace LOCA {
class GlobalData;
namespace Parameter {
class SublistParser;
}
namespace MultiContinuation {
class AbstractGroup;
class ConstraintInterface;
class ConstrainedGroup;
}
namespace MultiPredictor {
class AbstractStrategy;
}
}
namespace LOCA {
namespace MultiContinuation {
/*!
* \brief Base class for all continuation groups.
*/
/*!
* %Continuation is defined as computing some curve
* \f$(x(s),p(s))\in\Re^{n+1}\f$ such that \f$F(x(s),p(s))=0\f$ for some
* parameterization \f$s\f$. Given some point \f$(x_0,p_0)\f$ on the
* curve, another nearby point on the curve is calculated by first
* computing a predictor direction \f$v\in\Re^{n+1}\f$ and the
* approximate point \f$(x^\ast,p^\ast) = (x_0,p_0) + v\Delta s\f$
* where \f$\Delta s\f$ is the step size. Then the next point on the
* curve is computed by solving the extended set of equations
* \f[
* \begin{array}{cc}
* F(x,p) &= 0 \\
* g(x,p,x_0,p_0,x^\ast,p^\ast,v,\Delta s) &= 0
* \end{array}
* \f]
* for \f$(x,p)\f$. The equation
* \f$g(x,p,x_0,p_0,x^\ast,p^\ast,v,\Delta s)=0\f$ is called the
* continuation equation
* and different choices of \f$g\f$ yield different continuation methods.
*
* Mathematically, this computation amounts to repeatedly computing
* solutions to a constrained nonlinear system. This class provides
* a common implementation for all continuation groups in terms of the
* LOCA::MultiContinuation::ConstrainedGroup using a supplied group
* to represent \f$F\f$ and an implementation of
* LOCA::MultiContinuation::ConstraintInterface to represent \f$g\f$.
*
* Note that this class has no public constructor other than the
* copy constructor since it is intended to only provide an implemenation
* of much of the continuation work. Each derived class that
* implements a specific continuation strategy should provide its own
* public constructor.
*/
class ExtendedGroup :
public virtual LOCA::MultiContinuation::AbstractStrategy,
public virtual LOCA::BorderedSystem::AbstractGroup {
public:
//! Copy constructor
ExtendedGroup(const ExtendedGroup& source,
NOX::CopyType type = NOX::DeepCopy);
//! Destructor.
virtual ~ExtendedGroup();
/*!
* @name Implementation of NOX::Abstract::Group virtual methods
*/
//@{
//! Assignment operator
virtual NOX::Abstract::Group&
operator=(const NOX::Abstract::Group& source);
//! Cloning function
virtual Teuchos::RCP<NOX::Abstract::Group>
clone(NOX::CopyType type = NOX::DeepCopy) const;
//! Set the solution vector to y.
virtual void setX(const NOX::Abstract::Vector& y);
/*!
* \brief Compute and return solution vector, x, where
* this.x = grp.x + step * d.
*/
virtual void computeX(const NOX::Abstract::Group& g,
const NOX::Abstract::Vector& d,
double step);
//! Compute extended continuation equations
virtual NOX::Abstract::Group::ReturnType computeF();
//! Compute extended continuation jacobian
virtual NOX::Abstract::Group::ReturnType computeJacobian();
//! Gradient is not defined for this system
virtual NOX::Abstract::Group::ReturnType computeGradient();
//! Compute Newton direction for extended continuation system
virtual NOX::Abstract::Group::ReturnType
computeNewton(Teuchos::ParameterList& params);
//! Applies Jacobian for extended system
virtual NOX::Abstract::Group::ReturnType
applyJacobian(const NOX::Abstract::Vector& input,
NOX::Abstract::Vector& result) const;
//! Jacobian transpose not defined for this system
virtual NOX::Abstract::Group::ReturnType
applyJacobianTranspose(const NOX::Abstract::Vector& input,
NOX::Abstract::Vector& result) const;
//! Applies Jacobian inverse for extended system
virtual NOX::Abstract::Group::ReturnType
applyJacobianInverse(Teuchos::ParameterList& params,
const NOX::Abstract::Vector& input,
NOX::Abstract::Vector& result) const;
//! Applies Jacobian for extended system
virtual NOX::Abstract::Group::ReturnType
applyJacobianMultiVector(const NOX::Abstract::MultiVector& input,
NOX::Abstract::MultiVector& result) const;
//! Jacobian transpose not defined for this system
virtual NOX::Abstract::Group::ReturnType
applyJacobianTransposeMultiVector(
const NOX::Abstract::MultiVector& input,
NOX::Abstract::MultiVector& result) const;
//! Applies Jacobian inverse for extended system
virtual NOX::Abstract::Group::ReturnType
applyJacobianInverseMultiVector(
Teuchos::ParameterList& params,
const NOX::Abstract::MultiVector& input,
NOX::Abstract::MultiVector& result) const;
//! Return \c true if extended residual is valid.
virtual bool isF() const;
//! Return \c true if the extended Jacobian is valid.
virtual bool isJacobian() const;
//! Always returns false
virtual bool isGradient() const;
//! Return \c true if the extended Newton direction is valid
virtual bool isNewton() const;
//! Return extended solution vector.
virtual const NOX::Abstract::Vector& getX() const;
//! Return extended residual
virtual const NOX::Abstract::Vector& getF() const;
//! Return 2-norm of extended residual.
virtual double getNormF() const;
//! Gradient is never valid
virtual const NOX::Abstract::Vector& getGradient() const;
//! Return extended Newton direction.
virtual const NOX::Abstract::Vector& getNewton() const;
//! Return extended solution vector.
virtual Teuchos::RCP< const NOX::Abstract::Vector > getXPtr() const;
//! Return extended residual
virtual Teuchos::RCP< const NOX::Abstract::Vector > getFPtr() const;
//! Gradient is never valid
virtual Teuchos::RCP< const NOX::Abstract::Vector > getGradientPtr() const;
//! Return extended Newton direction.
virtual Teuchos::RCP< const NOX::Abstract::Vector > getNewtonPtr() const;
//! Returns 2-norm of extended Newton solve residual
virtual double getNormNewtonSolveResidual() const;
//@}
/*!
* @name Implementation of LOCA::Extended::MultiAbstractGroup
* virtual methods
*/
//@{
//! Return underlying group
virtual
Teuchos::RCP<const LOCA::MultiContinuation::AbstractGroup>
getUnderlyingGroup() const;
//! Return underlying group
virtual
Teuchos::RCP<LOCA::MultiContinuation::AbstractGroup>
getUnderlyingGroup();
//@}
/*!
* @name Implementation of LOCA::MultiContinuation::AbstractStrategy
* virtual methods
*/
//@{
//! Assignment operator
virtual void copy(const NOX::Abstract::Group& source);
//! Returns number of parameters
virtual int getNumParams() const;
//! Perform any preprocessing before a continuation step starts.
/*!
* The \c stepStatus argument indicates whether the previous step was
* successful.
*/
virtual void
preProcessContinuationStep(
LOCA::Abstract::Iterator::StepStatus stepStatus);
//! Perform any postprocessing after a continuation step finishes.
/*!
* The \c stepStatus argument indicates whether the step was
* successful.
*/
virtual void
postProcessContinuationStep(
LOCA::Abstract::Iterator::StepStatus stepStatus);
//! Compute predictor directions
virtual NOX::Abstract::Group::ReturnType
computePredictor();
//! Is Predictor valid
virtual bool isPredictor() const;
//! Scales tangent to predictor
virtual void scaleTangent();
//! Sets tangent to predictor
/*!
* This is required by MF which takes the tangent space,
* orthogonalizes it, and then sets it back in the group.
*/
virtual void
setPredictorTangentDirection(
const LOCA::MultiContinuation::ExtendedVector& v,
int i);
//! Returns tangent to predictor
virtual const LOCA::MultiContinuation::ExtendedMultiVector&
getPredictorTangent() const;
//! Returns scaled tangent to predictor
virtual const LOCA::MultiContinuation::ExtendedMultiVector&
getScaledPredictorTangent() const;
//! Set the previous solution vector y
virtual void setPrevX(const NOX::Abstract::Vector& y);
//! Gets the previous solution vector
virtual const LOCA::MultiContinuation::ExtendedVector&
getPrevX() const ;
//! Set step size for continuation constraint equation \em i
virtual void setStepSize(double deltaS, int i = 0);
//! Get step size for continuation constraint equation \em i
virtual double getStepSize(int i = 0) const;
//! Sets the value for continuation parameter \em i
virtual void setContinuationParameter(double val, int i = 0);
//! Returns the value for continuation parameter \em i
virtual double getContinuationParameter(int i = 0) const;
//! Get the continuation parameter id for parameter \em i
virtual int getContinuationParameterID(int i = 0) const;
//! Get the continuation parameter ids
virtual const std::vector<int>& getContinuationParameterIDs() const;
//! Get the continuation parameter id for parameter \em i
virtual std::string getContinuationParameterName(int i = 0) const;
//! Returns step size scale factor for constraint equation \em i
virtual double getStepSizeScaleFactor(int i = 0) const;
//! Prints the group
virtual void printSolution() const;
//! Computes a scaled dot product between two continuation vectors
virtual double computeScaledDotProduct(
const NOX::Abstract::Vector& x,
const NOX::Abstract::Vector& y) const;
//! Returns dimension of project to draw array
virtual int projectToDrawDimension() const;
//! Fills the project to draw array
virtual void projectToDraw(
const LOCA::MultiContinuation::ExtendedVector& x,
double *px) const;
//@}
/*!
* @name Implementation of
* LOCA::BorderedSystem::AbstractGroup virtual methods
*/
//@{
//! Return the total width of the bordered rows/columns
virtual int getBorderedWidth() const;
//! Get bottom-level unbordered group
virtual Teuchos::RCP<const NOX::Abstract::Group>
getUnborderedGroup() const;
//! Indicates whether combined A block is zero
virtual bool isCombinedAZero() const;
//! Indicates whether combined B block is zero
virtual bool isCombinedBZero() const;
//! Indicates whether combined C block is zero
virtual bool isCombinedCZero() const;
/*!
* Given the vector \c v, extract the underlying solution component
* corresponding to the unbordered group.
*/
virtual void
extractSolutionComponent(const NOX::Abstract::MultiVector& v,
NOX::Abstract::MultiVector& v_x) const;
/*!
* Given the vector \c v, extract the parameter components of all
* of the nested subvectors in \c v down to the solution component
* for the unbordered group.
*/
virtual void
extractParameterComponent(
bool use_transpose,
const NOX::Abstract::MultiVector& v,
NOX::Abstract::MultiVector::DenseMatrix& v_p) const;
/*!
* Given the solution component \c v_x and combined parameter
* components \c v_p, distribute these components through the nested
* sub-vectors in \c v.
*/
virtual void
loadNestedComponents(const NOX::Abstract::MultiVector& v_x,
const NOX::Abstract::MultiVector::DenseMatrix& v_p,
NOX::Abstract::MultiVector& v) const;
//! Fill the combined A block as described above
virtual void fillA(NOX::Abstract::MultiVector& A) const;
//! Fill the combined B block as described above
virtual void fillB(NOX::Abstract::MultiVector& B) const;
//! Fill the combined C block as described above
virtual void fillC(NOX::Abstract::MultiVector::DenseMatrix& C) const;
//@}
protected:
//! Constructor used by derived classes
ExtendedGroup(
const Teuchos::RCP<LOCA::GlobalData>& global_data,
const Teuchos::RCP<LOCA::Parameter::SublistParser>& topParams,
const Teuchos::RCP<Teuchos::ParameterList>& continuationParams,
const Teuchos::RCP<LOCA::MultiContinuation::AbstractGroup>& grp,
const Teuchos::RCP<LOCA::MultiPredictor::AbstractStrategy>& pred,
const std::vector<int>& paramIDs);
//! Set constraint object
/*!
* This allows the constraint object to be set after the group
* is constructed using the above constructor.
*/
virtual void setConstraints(const Teuchos::RCP<LOCA::MultiContinuation::ConstraintInterface>& constraints, bool skip_dfdp);
private:
//! Prohibit generation and use of operator=()
ExtendedGroup& operator=(const ExtendedGroup& source);
protected:
//! Pointer LOCA global data object
Teuchos::RCP<LOCA::GlobalData> globalData;
//! Parsed top-level parameters
Teuchos::RCP<LOCA::Parameter::SublistParser> parsedParams;
//! Continuation parameter list
Teuchos::RCP<Teuchos::ParameterList> continuationParams;
//! Pointer to underlying group
Teuchos::RCP<LOCA::MultiContinuation::AbstractGroup> grpPtr;
//! Pointer to predictor object
Teuchos::RCP<LOCA::MultiPredictor::AbstractStrategy> predictor;
//! Pointer to constrained group implementation
Teuchos::RCP<LOCA::MultiContinuation::ConstrainedGroup> conGroup;
//! Number of parameters
int numParams;
//! Stores the tangent to the predictor
LOCA::MultiContinuation::ExtendedMultiVector tangentMultiVec;
//! Stores the scaled tangent to the predictor
LOCA::MultiContinuation::ExtendedMultiVector scaledTangentMultiVec;
//! Stores the previous extended solution vector
LOCA::MultiContinuation::ExtendedVector prevXVec;
//! integer id of continuation parameters
std::vector<int> conParamIDs;
//! continuation step size
std::vector<double> stepSize;
//! step size scale factors
std::vector<double> stepSizeScaleFactor;
//! Is Predictor vector valid
bool isValidPredictor;
//! Flag indicating whether to base predictor direction on secant
bool baseOnSecant;
};
} // namespace MultiContinuation
} // namespace LOCA
#endif
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