capd::dynsys::BasicFadOdeSolver< FadMapT, StepControlT > Class Template Reference

#include <capd/dynsys/BasicFadOdeSolver.h>

Public Types
typedef FadMapT	VectorFieldType
typedef StepControlT	StepControlType
typedef FadMapT::ScalarType	ScalarType
typedef FadMapT::MatrixType	MatrixType
typedef FadMapT::VectorType	VectorType
typedef FadMapT::FunctionType	FunctionType
typedef MatrixType::size_type	size_type
typedef fadbad::T< ScalarType >	TScalar
typedef fadbad::F< ScalarType, FadMapT::VectorType::csDim >	FScalar
typedef fadbad::T< FScalar >	TFScalar
typedef VectorType::template rebind< TFScalar >::other	TFVector
typedef VectorType::template rebind< TScalar >::other	TVector
typedef VectorType::template rebind< FScalar >::other	FVector
typedef capd::diffAlgebra::Curve< capd::diffAlgebra::FadCurve< typename FadMapT::MatrixType > >	SolutionCurve
typedef TypeTraits< ScalarType >::Real	Real
typedef Hessian< ScalarType, VectorType::csDim, VectorType::csDim >	HessianType
typedef Jet< MatrixType, 0 >	JetType
typedef __difference_type	difference_type

Public Member Functions
	BasicFadOdeSolver (VectorFieldType &f, size_type _order, const StepControlT &stepControl=StepControlT())
virtual	~BasicFadOdeSolver ()
VectorType	operator() (VectorType)
	Computes image of vector v after one time step. More...
VectorType	operator() (ScalarType &t, VectorType)
	Computes image of vector v after one time step. The argument t is updated in this procedure. More...
VectorType	operator() (VectorType v, MatrixType &o_resultDerivative)
	Computes image of vector v and derivatives of the flow with respect to init condition (v,identity). Version for autonomous systems. More...
VectorType	operator() (ScalarType &t, VectorType v, MatrixType &o_resultDerivative)
	Computes image of vector v and derivatives of the flow with respect to init condition (v,identity). Version for nonautonomous systems. The argument t is updated in this procedure. More...
VectorType	operator() (VectorType v, const MatrixType &derivative, MatrixType &o_resultDerivative)
	Computes image of vector v and derivatives of a flow with respect to init condition (v, derivative) More...
VectorType	operator() (ScalarType &t, VectorType v, const MatrixType &derivative, MatrixType &o_resultDerivative)
	Computes image of vector v and derivatives of a flow with respect to init condition (v, derivative). The argument t is updated in this procedure. More...
template<typename JetT >
void	operator() (JetT &jet)
	This operator computes image of the set (in given representation) using set.move function, see capd/dynsys/Move.h for details This template together with SetTraits prevent usage of various types of jets with incompatible solvers. The user will get an exception at runtime with clear message instead of unreadable compiler error. In this case a specialization C1JetMove is used meaning that this solver can integrate C^0 and C^1 jets only. More...
const VectorFieldType &	getVectorField () const
	Returns vector field. More...
VectorFieldType &	getVectorField ()
ScalarType	getStep () const
	Returns current time step. More...
void	setStep (const ScalarType &newStep)
	Sets time step for the next step of integration and turns off step control. More...
virtual ScalarType	getCoeffNorm (size_type i, size_type degree) const
const SolutionCurve &	getCurve ()
template<typename Description >
void	setParameter (Description name, const ScalarType &value)
void	computeCoefficientsAtCenter (const VectorType &x, size_type order)
void	computeCoefficientsAtCenter (ScalarType t, const VectorType &x, size_type order)
void	computeCoefficients (const VectorType &x, size_type order)
void	computeCoefficients (ScalarType t, const VectorType &x, size_type order)
void	computeCoefficients (const VectorType &x, const MatrixType &M, size_type order)
void	computeCoefficients (ScalarType t, const VectorType &x, const MatrixType &M, size_type order)
VectorType	enclosure (const ScalarType &, const VectorType &)
void	adjustTimeStep (const ScalarType &newStep)
	sets time step but does not change step control settings (compare setStep) More...
void	turnOnStepControl ()
void	turnOffStepControl ()
void	onOffStepControl (bool _onOffStepControl)
const StepControlType &	getStepControl () const
void	setStepControl (const StepControlType &stepControl)
bool	isStepChangeAllowed () const
void	setAbsoluteTolerance (TolScalarType tol)
void	setRelativeTolerance (TolScalarType tol)
TolScalarType	getAbsoluteTolerance () const
TolScalarType	getRelativeTolerance () const
FadMapT::ScalarType	getMaxStep () const
void	setMaxStep (FadMapT::ScalarType maxStep)
VectorType	timeDerivative (const ScalarType &h) const
VectorType	operator() (const ScalarType &h) const
MatrixType	derivative (const ScalarType &h) const
MatrixType	operator[] (const ScalarType &h) const
virtual void	setOrder (size_type order)
	Sets the order of Taylor interpolation. More...
size_type	getOrder () const
	Returns the order of Taylor interpolation. More...
size_type	getAllocatedOrder () const
	Returns maximal allocated order - used to avoid memory reallocation. More...
size_type	dimension () const
	Returns the dimension in which the parametric curve is embedded. More...
void	clearCoefficients ()
	sets all coefficients to zero More...
const ScalarType &	centerCoefficient (size_type i, size_type j) const
ScalarType &	centerCoefficient (size_type i, size_type j)
const ScalarType &	coefficient (size_type i, size_type j) const
const ScalarType &	coefficient (size_type i, size_type j, size_type k) const
ScalarType &	coefficient (size_type i, size_type j)
ScalarType &	coefficient (size_type i, size_type j, size_type k)
const ScalarType &	remainderCoefficient (size_type i, size_type j) const
const ScalarType &	remainderCoefficient (size_type i, size_type j, size_type k) const
ScalarType &	remainderCoefficient (size_type i, size_type j)
ScalarType &	remainderCoefficient (size_type i, size_type j, size_type k)
void	setInitMatrix (const MatrixType &)
void	setInitHessian (const HessianType &)
void	setInitJet (const JetType &)
std::runtime_error	domainErrorMessage (std::string msg, ScalarType h, Real left, Real right) const
virtual HessianType	hessian (const ScalarType &) const
virtual JetType	jet (const ScalarType &) const
virtual void	eval (ScalarType, JetType &) const
virtual void	setDomain (Real left, Real right)
virtual Real	getLeftDomain () const
virtual Real	getRightDomain () const

Static Public Member Functions
static TolScalarType	getEffectiveTolerance (Solver &solver, const SetType &s)

Protected Member Functions
void	setCurrentTime (const ScalarType &a_time) const
const ScalarType &	getCurrentTime () const
void	computeTimeStep (VectorType &v)
void	recordDags ()
void	reset ()
template<class AVector >
void	computeCoeff (AVector &in, AVector &out, size_type order)
void	setInitialCondition (const VectorType &u, TVector &in)
void	setInitialCondition (const VectorType &u, TFVector &in)
void	setInitialCondition (const VectorType &u, const MatrixType &M, TFVector &in)
void	sumTaylorSeries (VectorType &u, TVector &in, size_type order)
void	sumTaylorSeries (MatrixType &M, TFVector &in, size_type order)
void	sumTaylorSeries (VectorType &u, MatrixType &M, TFVector &in, size_type order)

Protected Attributes
VectorFieldType &	m_vectorField
TVector	m_centerOut
TFVector	m_out
TVector	m_remOut
TFVector	m_jacRemOut
TScalar	m_time
TFScalar	m_ftime
ScalarType	m_fixedTimeStep
ScalarType	m_step
StepControlType	m_stepControl
bool	m_onOffStepControl
TolScalarType	m_absoluteTolerance
TolScalarType	m_relativeTolerance
FadMapT::ScalarType	m_maxStep
size_type	m_order
size_type	m_dimension
TVector	m_center
TFVector	m_in
TVector	m_rem
TFVector	m_jacRem
Real	m_left
Real	m_right
	domain More...

Member Typedef Documentation

difference_type

typedef __difference_type capd::diffAlgebra::Curve< capd::diffAlgebra::FadCurve< FadMapT::MatrixType > , capd::TypeTraits<typename capd::diffAlgebra::FadCurve< FadMapT::MatrixType > ::ScalarType>::isInterval >::difference_type

inherited

FScalar

template<class FadMapT , typename StepControlT = capd::dynsys::DLastTermsStepControl>

typedef fadbad::F<ScalarType,FadMapT::VectorType::csDim> capd::dynsys::BasicFadOdeSolver< FadMapT, StepControlT >::FScalar

FunctionType

template<class FadMapT , typename StepControlT = capd::dynsys::DLastTermsStepControl>

typedef FadMapT::FunctionType capd::dynsys::BasicFadOdeSolver< FadMapT, StepControlT >::FunctionType

FVector

template<class FadMapT , typename StepControlT = capd::dynsys::DLastTermsStepControl>

typedef VectorType::template rebind<FScalar>::other capd::dynsys::BasicFadOdeSolver< FadMapT, StepControlT >::FVector

HessianType

typedef Hessian<ScalarType,VectorType::csDim,VectorType::csDim> capd::diffAlgebra::Curve< capd::diffAlgebra::FadCurve< FadMapT::MatrixType > , capd::TypeTraits<typename capd::diffAlgebra::FadCurve< FadMapT::MatrixType > ::ScalarType>::isInterval >::HessianType

inherited

JetType

typedef Jet<MatrixType,0> capd::diffAlgebra::Curve< capd::diffAlgebra::FadCurve< FadMapT::MatrixType > , capd::TypeTraits<typename capd::diffAlgebra::FadCurve< FadMapT::MatrixType > ::ScalarType>::isInterval >::JetType

inherited

MatrixType

template<class FadMapT , typename StepControlT = capd::dynsys::DLastTermsStepControl>

typedef FadMapT::MatrixType capd::dynsys::BasicFadOdeSolver< FadMapT, StepControlT >::MatrixType

Real

typedef TypeTraits<ScalarType>::Real capd::diffAlgebra::Curve< capd::diffAlgebra::FadCurve< FadMapT::MatrixType > , capd::TypeTraits<typename capd::diffAlgebra::FadCurve< FadMapT::MatrixType > ::ScalarType>::isInterval >::Real

inherited

ScalarType

template<class FadMapT , typename StepControlT = capd::dynsys::DLastTermsStepControl>

typedef FadMapT::ScalarType capd::dynsys::BasicFadOdeSolver< FadMapT, StepControlT >::ScalarType

size_type

template<class FadMapT , typename StepControlT = capd::dynsys::DLastTermsStepControl>

typedef MatrixType::size_type capd::dynsys::BasicFadOdeSolver< FadMapT, StepControlT >::size_type

SolutionCurve

template<class FadMapT , typename StepControlT = capd::dynsys::DLastTermsStepControl>

typedef capd::diffAlgebra::Curve< capd::diffAlgebra::FadCurve<typename FadMapT::MatrixType> > capd::dynsys::BasicFadOdeSolver< FadMapT, StepControlT >::SolutionCurve

StepControlType

template<class FadMapT , typename StepControlT = capd::dynsys::DLastTermsStepControl>

typedef StepControlT capd::dynsys::BasicFadOdeSolver< FadMapT, StepControlT >::StepControlType

TFScalar

template<class FadMapT , typename StepControlT = capd::dynsys::DLastTermsStepControl>

typedef fadbad::T<FScalar> capd::dynsys::BasicFadOdeSolver< FadMapT, StepControlT >::TFScalar

TFVector

template<class FadMapT , typename StepControlT = capd::dynsys::DLastTermsStepControl>

typedef VectorType::template rebind<TFScalar>::other capd::dynsys::BasicFadOdeSolver< FadMapT, StepControlT >::TFVector

TScalar

template<class FadMapT , typename StepControlT = capd::dynsys::DLastTermsStepControl>

typedef fadbad::T<ScalarType> capd::dynsys::BasicFadOdeSolver< FadMapT, StepControlT >::TScalar

TVector

template<class FadMapT , typename StepControlT = capd::dynsys::DLastTermsStepControl>

typedef VectorType::template rebind<TScalar>::other capd::dynsys::BasicFadOdeSolver< FadMapT, StepControlT >::TVector

VectorFieldType

template<class FadMapT , typename StepControlT = capd::dynsys::DLastTermsStepControl>

typedef FadMapT capd::dynsys::BasicFadOdeSolver< FadMapT, StepControlT >::VectorFieldType

VectorType

template<class FadMapT , typename StepControlT = capd::dynsys::DLastTermsStepControl>

typedef FadMapT::VectorType capd::dynsys::BasicFadOdeSolver< FadMapT, StepControlT >::VectorType

Constructor & Destructor Documentation

~BasicFadOdeSolver()

template<class FadMapT , typename StepControlT = capd::dynsys::DLastTermsStepControl>

virtual capd::dynsys::BasicFadOdeSolver< FadMapT, StepControlT >::~BasicFadOdeSolver ( )

inlinevirtual

Member Function Documentation

centerCoefficient() [1/2]

FadMapT::MatrixType ::ScalarType & capd::diffAlgebra::FadCurve< FadMapT::MatrixType >::centerCoefficient ( size_type  i, size_type  j  )

inlineinherited

centerCoefficient() [2/2]

const FadMapT::MatrixType ::ScalarType & capd::diffAlgebra::FadCurve< FadMapT::MatrixType >::centerCoefficient ( size_type  i, size_type  j  ) const

inlineinherited

clearCoefficients()

void capd::diffAlgebra::FadCurve< FadMapT::MatrixType >::clearCoefficients

inherited

sets all coefficients to zero

coefficient() [1/4]

FadMapT::MatrixType ::ScalarType & capd::diffAlgebra::FadCurve< FadMapT::MatrixType >::coefficient ( size_type  i, size_type  j  )

inlineinherited

coefficient() [2/4]

const FadMapT::MatrixType ::ScalarType & capd::diffAlgebra::FadCurve< FadMapT::MatrixType >::coefficient ( size_type  i, size_type  j  ) const

inlineinherited

coefficient() [3/4]

FadMapT::MatrixType ::ScalarType & capd::diffAlgebra::FadCurve< FadMapT::MatrixType >::coefficient ( size_type  i, size_type  j, size_type  k  )

inlineinherited

coefficient() [4/4]

const FadMapT::MatrixType ::ScalarType & capd::diffAlgebra::FadCurve< FadMapT::MatrixType >::coefficient ( size_type  i, size_type  j, size_type  k  ) const

inlineinherited

derivative()

Curve< capd::diffAlgebra::FadCurve< FadMapT::MatrixType > , capd::TypeTraits<typename capd::diffAlgebra::FadCurve< FadMapT::MatrixType > ::ScalarType>::isInterval >::MatrixType capd::diffAlgebra::Curve< capd::diffAlgebra::FadCurve< FadMapT::MatrixType > , capd::TypeTraits<typename capd::diffAlgebra::FadCurve< FadMapT::MatrixType > ::ScalarType>::isInterval >::derivative ( const ScalarType &  h ) const

virtualinherited

Implements capd::diffAlgebra::ParametricCurve< capd::diffAlgebra::FadCurve< FadMapT::MatrixType > ::MatrixType >.

dimension()

FadCurve< FadMapT::MatrixType >::size_type capd::diffAlgebra::FadCurve< FadMapT::MatrixType >::dimension

inlineinherited

Returns the dimension in which the parametric curve is embedded.

domainErrorMessage()

std::runtime_error capd::diffAlgebra::CurveInterface< FadMapT::MatrixType >::domainErrorMessage ( std::string  msg, ScalarType  h, Real  left, Real  right  ) const

inlineinherited

enclosure()

template<class FadMapT , typename StepControlT = capd::dynsys::DLastTermsStepControl>

VectorType capd::dynsys::BasicFadOdeSolver< FadMapT, StepControlT >::enclosure ( const ScalarType &  , const VectorType &    )

inline

eval()

virtual void capd::diffAlgebra::ParametricCurve< capd::diffAlgebra::FadCurve< FadMapT::MatrixType > ::MatrixType , typename capd::diffAlgebra::FadCurve< FadMapT::MatrixType > ::MatrixType ::RowVectorType >::eval ( ScalarType  , JetType &    ) const

inlinevirtualinherited

getAbsoluteTolerance()

TolScalarType capd::dynsys::StepControlInterface< capd::dynsys::DLastTermsStepControl , FadMapT::ScalarType >::getAbsoluteTolerance

inlineinherited

getAllocatedOrder()

FadCurve< FadMapT::MatrixType >::size_type capd::diffAlgebra::FadCurve< FadMapT::MatrixType >::getAllocatedOrder

inlineinherited

Returns maximal allocated order - used to avoid memory reallocation.

getCurrentTime()

template<class FadMapT , typename StepControlT = capd::dynsys::DLastTermsStepControl>

const ScalarType& capd::dynsys::BasicFadOdeSolver< FadMapT, StepControlT >::getCurrentTime ( ) const

inlineprotected

getEffectiveTolerance()

static TolScalarType capd::dynsys::StepControlInterface< capd::dynsys::DLastTermsStepControl , FadMapT::ScalarType >::getEffectiveTolerance ( Solver &  solver, const SetType &  s  )

inlinestaticinherited

getLeftDomain()

ParametricCurve< capd::diffAlgebra::FadCurve< FadMapT::MatrixType > ::MatrixType , typename capd::diffAlgebra::FadCurve< FadMapT::MatrixType > ::MatrixType ::RowVectorType >::Real capd::diffAlgebra::ParametricCurve< capd::diffAlgebra::FadCurve< FadMapT::MatrixType > ::MatrixType , typename capd::diffAlgebra::FadCurve< FadMapT::MatrixType > ::MatrixType ::RowVectorType >::getLeftDomain

inlinevirtualinherited

getMaxStep()

FadMapT::ScalarType capd::dynsys::StepControlInterface< capd::dynsys::DLastTermsStepControl , FadMapT::ScalarType >::getMaxStep

inlineinherited

getOrder()

FadCurve< FadMapT::MatrixType >::size_type capd::diffAlgebra::FadCurve< FadMapT::MatrixType >::getOrder

inlineinherited

Returns the order of Taylor interpolation.

getRelativeTolerance()

TolScalarType capd::dynsys::StepControlInterface< capd::dynsys::DLastTermsStepControl , FadMapT::ScalarType >::getRelativeTolerance

inlineinherited

getRightDomain()

ParametricCurve< capd::diffAlgebra::FadCurve< FadMapT::MatrixType > ::MatrixType , typename capd::diffAlgebra::FadCurve< FadMapT::MatrixType > ::MatrixType ::RowVectorType >::Real capd::diffAlgebra::ParametricCurve< capd::diffAlgebra::FadCurve< FadMapT::MatrixType > ::MatrixType , typename capd::diffAlgebra::FadCurve< FadMapT::MatrixType > ::MatrixType ::RowVectorType >::getRightDomain

inlinevirtualinherited

getStepControl()

const StepControlType& capd::dynsys::StepControlInterface< capd::dynsys::DLastTermsStepControl , FadMapT::ScalarType >::getStepControl

inlineinherited

getVectorField()

template<class FadMapT , typename StepControlT = capd::dynsys::DLastTermsStepControl>

VectorFieldType& capd::dynsys::BasicFadOdeSolver< FadMapT, StepControlT >::getVectorField

(

)

hessian()

virtual HessianType capd::diffAlgebra::ParametricCurve< capd::diffAlgebra::FadCurve< FadMapT::MatrixType > ::MatrixType , typename capd::diffAlgebra::FadCurve< FadMapT::MatrixType > ::MatrixType ::RowVectorType >::hessian ( const ScalarType &  ) const

inlinevirtualinherited

isStepChangeAllowed()

bool capd::dynsys::StepControlInterface< capd::dynsys::DLastTermsStepControl , FadMapT::ScalarType >::isStepChangeAllowed

inlineinherited

jet()

virtual JetType capd::diffAlgebra::ParametricCurve< capd::diffAlgebra::FadCurve< FadMapT::MatrixType > ::MatrixType , typename capd::diffAlgebra::FadCurve< FadMapT::MatrixType > ::MatrixType ::RowVectorType >::jet ( const ScalarType &  ) const

inlinevirtualinherited

onOffStepControl()

void capd::dynsys::StepControlInterface< capd::dynsys::DLastTermsStepControl , FadMapT::ScalarType >::onOffStepControl ( bool  _onOffStepControl )

inlineinherited

operator()() [1/2]

Curve< capd::diffAlgebra::FadCurve< FadMapT::MatrixType > , capd::TypeTraits<typename capd::diffAlgebra::FadCurve< FadMapT::MatrixType > ::ScalarType>::isInterval >::VectorType capd::diffAlgebra::Curve< capd::diffAlgebra::FadCurve< FadMapT::MatrixType > , capd::TypeTraits<typename capd::diffAlgebra::FadCurve< FadMapT::MatrixType > ::ScalarType>::isInterval >::operator() ( const ScalarType &  h ) const

virtualinherited

Implements capd::diffAlgebra::ParametricCurve< capd::diffAlgebra::FadCurve< FadMapT::MatrixType > ::MatrixType >.

operator()() [2/2]

template<class FadMapT , typename StepControlT = capd::dynsys::DLastTermsStepControl>

template<typename JetT >

void capd::dynsys::BasicFadOdeSolver< FadMapT, StepControlT >::operator() ( JetT &  jet )

inline

This operator computes image of the set (in given representation) using set.move function, see capd/dynsys/Move.h for details This template together with SetTraits prevent usage of various types of jets with incompatible solvers. The user will get an exception at runtime with clear message instead of unreadable compiler error. In this case a specialization C1JetMove is used meaning that this solver can integrate C^0 and C^1 jets only.

operator[]()

MatrixType capd::diffAlgebra::Curve< capd::diffAlgebra::FadCurve< FadMapT::MatrixType > , capd::TypeTraits<typename capd::diffAlgebra::FadCurve< FadMapT::MatrixType > ::ScalarType>::isInterval >::operator[] ( const ScalarType &  h ) const

inlinevirtualinherited

Implements capd::diffAlgebra::ParametricCurve< capd::diffAlgebra::FadCurve< FadMapT::MatrixType > ::MatrixType >.

remainderCoefficient() [1/4]

FadMapT::MatrixType ::ScalarType & capd::diffAlgebra::FadCurve< FadMapT::MatrixType >::remainderCoefficient ( size_type  i, size_type  j  )

inlineinherited

remainderCoefficient() [2/4]

const FadMapT::MatrixType ::ScalarType & capd::diffAlgebra::FadCurve< FadMapT::MatrixType >::remainderCoefficient ( size_type  i, size_type  j  ) const

inlineinherited

remainderCoefficient() [3/4]

FadMapT::MatrixType ::ScalarType & capd::diffAlgebra::FadCurve< FadMapT::MatrixType >::remainderCoefficient ( size_type  i, size_type  j, size_type  k  )

inlineinherited

remainderCoefficient() [4/4]

const FadMapT::MatrixType ::ScalarType & capd::diffAlgebra::FadCurve< FadMapT::MatrixType >::remainderCoefficient ( size_type  i, size_type  j, size_type  k  ) const

inlineinherited

setAbsoluteTolerance()

void capd::dynsys::StepControlInterface< capd::dynsys::DLastTermsStepControl , FadMapT::ScalarType >::setAbsoluteTolerance ( TolScalarType  tol )

inlineinherited

setCurrentTime()

template<class FadMapT , typename StepControlT = capd::dynsys::DLastTermsStepControl>

void capd::dynsys::BasicFadOdeSolver< FadMapT, StepControlT >::setCurrentTime ( const ScalarType &  a_time ) const

inlineprotected

setDomain()

void capd::diffAlgebra::ParametricCurve< capd::diffAlgebra::FadCurve< FadMapT::MatrixType > ::MatrixType , typename capd::diffAlgebra::FadCurve< FadMapT::MatrixType > ::MatrixType ::RowVectorType >::setDomain ( Real  left, Real  right  )

inlinevirtualinherited

setInitHessian()

void capd::diffAlgebra::CurveInterface< FadMapT::MatrixType >::setInitHessian ( const HessianType &  )

inlineinherited

setInitJet()

void capd::diffAlgebra::CurveInterface< FadMapT::MatrixType >::setInitJet ( const JetType &  )

inlineinherited

setInitMatrix()

void capd::diffAlgebra::CurveInterface< FadMapT::MatrixType >::setInitMatrix ( const MatrixType &  )

inlineinherited

setMaxStep()

void capd::dynsys::StepControlInterface< capd::dynsys::DLastTermsStepControl , FadMapT::ScalarType >::setMaxStep ( FadMapT::ScalarType  maxStep )

inlineinherited

setOrder()

void capd::diffAlgebra::FadCurve< FadMapT::MatrixType >::setOrder ( size_type  order )

virtualinherited

Sets the order of Taylor interpolation.

setParameter()

template<class FadMapT , typename StepControlT = capd::dynsys::DLastTermsStepControl>

template<typename Description >

void capd::dynsys::BasicFadOdeSolver< FadMapT, StepControlT >::setParameter ( Description  name, const ScalarType &  value  )

inline

setRelativeTolerance()

void capd::dynsys::StepControlInterface< capd::dynsys::DLastTermsStepControl , FadMapT::ScalarType >::setRelativeTolerance ( TolScalarType  tol )

inlineinherited

setStepControl()

void capd::dynsys::StepControlInterface< capd::dynsys::DLastTermsStepControl , FadMapT::ScalarType >::setStepControl ( const StepControlType &  stepControl )

inlineinherited

timeDerivative()

Curve< capd::diffAlgebra::FadCurve< FadMapT::MatrixType > , capd::TypeTraits<typename capd::diffAlgebra::FadCurve< FadMapT::MatrixType > ::ScalarType>::isInterval >::VectorType capd::diffAlgebra::Curve< capd::diffAlgebra::FadCurve< FadMapT::MatrixType > , capd::TypeTraits<typename capd::diffAlgebra::FadCurve< FadMapT::MatrixType > ::ScalarType>::isInterval >::timeDerivative ( const ScalarType &  h ) const

inherited

turnOffStepControl()

void capd::dynsys::StepControlInterface< capd::dynsys::DLastTermsStepControl , FadMapT::ScalarType >::turnOffStepControl

inlineinherited

turnOnStepControl()

void capd::dynsys::StepControlInterface< capd::dynsys::DLastTermsStepControl , FadMapT::ScalarType >::turnOnStepControl

inlineinherited

Member Data Documentation

m_absoluteTolerance

TolScalarType capd::dynsys::StepControlInterface< capd::dynsys::DLastTermsStepControl , FadMapT::ScalarType >::m_absoluteTolerance

protectedinherited

m_center

TVector capd::diffAlgebra::FadCurve< FadMapT::MatrixType >::m_center

mutableprotectedinherited

m_centerOut

template<class FadMapT , typename StepControlT = capd::dynsys::DLastTermsStepControl>

TVector capd::dynsys::BasicFadOdeSolver< FadMapT, StepControlT >::m_centerOut

mutableprotected

m_dimension

size_type capd::diffAlgebra::FadCurve< FadMapT::MatrixType >::m_dimension

protectedinherited

m_fixedTimeStep

template<class FadMapT , typename StepControlT = capd::dynsys::DLastTermsStepControl>

ScalarType capd::dynsys::BasicFadOdeSolver< FadMapT, StepControlT >::m_fixedTimeStep

protected

m_ftime

template<class FadMapT , typename StepControlT = capd::dynsys::DLastTermsStepControl>

TFScalar capd::dynsys::BasicFadOdeSolver< FadMapT, StepControlT >::m_ftime

mutableprotected

m_in

TFVector capd::diffAlgebra::FadCurve< FadMapT::MatrixType >::m_in

mutableprotectedinherited

m_jacRem

TFVector capd::diffAlgebra::FadCurve< FadMapT::MatrixType >::m_jacRem

mutableprotectedinherited

m_jacRemOut

template<class FadMapT , typename StepControlT = capd::dynsys::DLastTermsStepControl>

TFVector capd::dynsys::BasicFadOdeSolver< FadMapT, StepControlT >::m_jacRemOut

mutableprotected

m_left

Real capd::diffAlgebra::ParametricCurve< capd::diffAlgebra::FadCurve< FadMapT::MatrixType > ::MatrixType , typename capd::diffAlgebra::FadCurve< FadMapT::MatrixType > ::MatrixType ::RowVectorType >::m_left

protectedinherited

m_maxStep

FadMapT::ScalarType capd::dynsys::StepControlInterface< capd::dynsys::DLastTermsStepControl , FadMapT::ScalarType >::m_maxStep

protectedinherited

m_onOffStepControl

bool capd::dynsys::StepControlInterface< capd::dynsys::DLastTermsStepControl , FadMapT::ScalarType >::m_onOffStepControl

protectedinherited

m_order

size_type capd::diffAlgebra::FadCurve< FadMapT::MatrixType >::m_order

protectedinherited

m_out

template<class FadMapT , typename StepControlT = capd::dynsys::DLastTermsStepControl>

TFVector capd::dynsys::BasicFadOdeSolver< FadMapT, StepControlT >::m_out

mutableprotected

m_relativeTolerance

TolScalarType capd::dynsys::StepControlInterface< capd::dynsys::DLastTermsStepControl , FadMapT::ScalarType >::m_relativeTolerance

protectedinherited

m_rem

TVector capd::diffAlgebra::FadCurve< FadMapT::MatrixType >::m_rem

mutableprotectedinherited

m_remOut

template<class FadMapT , typename StepControlT = capd::dynsys::DLastTermsStepControl>

TVector capd::dynsys::BasicFadOdeSolver< FadMapT, StepControlT >::m_remOut

mutableprotected

m_right

Real capd::diffAlgebra::ParametricCurve< capd::diffAlgebra::FadCurve< FadMapT::MatrixType > ::MatrixType , typename capd::diffAlgebra::FadCurve< FadMapT::MatrixType > ::MatrixType ::RowVectorType >::m_right

protectedinherited

domain

m_step

template<class FadMapT , typename StepControlT = capd::dynsys::DLastTermsStepControl>

ScalarType capd::dynsys::BasicFadOdeSolver< FadMapT, StepControlT >::m_step

protected

m_stepControl

StepControlType capd::dynsys::StepControlInterface< capd::dynsys::DLastTermsStepControl , FadMapT::ScalarType >::m_stepControl

protectedinherited

m_time

template<class FadMapT , typename StepControlT = capd::dynsys::DLastTermsStepControl>

TScalar capd::dynsys::BasicFadOdeSolver< FadMapT, StepControlT >::m_time

mutableprotected

m_vectorField

template<class FadMapT , typename StepControlT = capd::dynsys::DLastTermsStepControl>

VectorFieldType& capd::dynsys::BasicFadOdeSolver< FadMapT, StepControlT >::m_vectorField

protected