CAPD DynSys Library 5.2.0
capd::dynset::C0BallSet< MatrixT > Class Template Referenceabstract

the set is represented as: x + Ball(r). More...

#include <capd/dynset/C0BallSet.h>

Public Types

typedef MatrixT MatrixType
 
typedef MatrixType::RowVectorType VectorType
 
typedef MatrixType::ScalarType ScalarType
 
typedef capd::vectalg::Norm< VectorType, MatrixTypeNormType
 
typedef MatrixType::size_type size_type
 
typedef C0Set SetType
 defines class of given set (C0, C1, C2, ...) More...
 
typedef capd::dynsys::DynSys< MatrixTypeDynSysType
 defines minimal regularity of the dynamical system More...
 

Public Member Functions

 C0BallSet (const C0BallSet &)
 
 C0BallSet (const VectorType &x, NormType &n, ScalarType t=TypeTraits< ScalarType >::zero())
 
 C0BallSet (const VectorType &x, const ScalarType &r, NormType &n, ScalarType t=TypeTraits< ScalarType >::zero())
 
 ~C0BallSet ()
 
const C0BallSetoperator= (const C0BallSet &)
 
virtual void move (capd::dynsys::DynSys< MatrixType > &dynsys)
 
virtual void move (capd::dynsys::DynSys< MatrixType > &dynsys, C0BallSet &result) const
 
virtual std::string show (void) const
 returns a set detailed information More...
 
virtual VectorType affineTransformation (const MatrixType &, const VectorType &) const
 
virtual void move (DynSysType &dynsys)=0
 computes image of the set after one step/iterate of the dynamical system More...
 
const ScalarType getCurrentTime () const
 
ScalarTyperefCurrentTime ()
 
void setCurrentTime (const ScalarType &t)
 
const MatrixT::RowVectorType & getLastEnclosure () const
 
virtual operator MatrixT::RowVectorType () const
 returns an enclosure of the set in the canonical coordinates More...
 
void setCurrentSet (const MatrixT::RowVectorType &x)
 
ScalarType evalAt (const Functional &f) const
 This method computes value of functor f at interval vector represented by this set. More...
 
virtual operator VectorType () const=0
 

Static Public Member Functions

static const size_type degree ()
 

Protected Member Functions

void setLastEnclosure (const MatrixT::RowVectorType &enc)
 

Protected Attributes

VectorType x
 
ScalarType r
 
NormTypen
 
ScalarType m_currentTime
 
MatrixT::RowVectorType m_currentSet
 
MatrixT::RowVectorType m_lastEnclosure
 

Detailed Description

template<typename MatrixT>
class capd::dynset::C0BallSet< MatrixT >

the set is represented as: x + Ball(r).

move: x - center of result; r = Lip(JacPhi) + errors from Phi(x) for cascades for flows : r = exp(Lip(vectfield)*h) + errors ..

Member Typedef Documentation

◆ DynSysType

template<typename MatrixT >
typedef capd::dynsys::DynSys<MatrixType> capd::dynset::C0Set< MatrixT >::DynSysType
inherited

defines minimal regularity of the dynamical system

◆ MatrixType

template<typename MatrixT >
typedef MatrixT capd::dynset::C0BallSet< MatrixT >::MatrixType

◆ NormType

template<typename MatrixT >
typedef capd::vectalg::Norm<VectorType,MatrixType> capd::dynset::C0BallSet< MatrixT >::NormType

◆ ScalarType

template<typename MatrixT >
typedef MatrixType::ScalarType capd::dynset::C0BallSet< MatrixT >::ScalarType

◆ SetType

template<typename MatrixT >
typedef C0Set capd::dynset::C0Set< MatrixT >::SetType
inherited

defines class of given set (C0, C1, C2, ...)

◆ size_type

template<typename MatrixT >
typedef MatrixType::size_type capd::dynset::C0BallSet< MatrixT >::size_type

◆ VectorType

template<typename MatrixT >
typedef MatrixType::RowVectorType capd::dynset::C0BallSet< MatrixT >::VectorType

Constructor & Destructor Documentation

◆ C0BallSet() [1/3]

template<typename MatrixType >
capd::dynset::C0BallSet< MatrixType >::C0BallSet ( const C0BallSet< MatrixT > &  a_set)

◆ C0BallSet() [2/3]

template<typename MatrixType >
capd::dynset::C0BallSet< MatrixType >::C0BallSet ( const VectorType x,
NormType n,
ScalarType  t = TypeTraits<ScalarType>::zero() 
)

◆ C0BallSet() [3/3]

template<typename MatrixType >
capd::dynset::C0BallSet< MatrixType >::C0BallSet ( const VectorType x,
const ScalarType r,
NormType n,
ScalarType  t = TypeTraits<ScalarType>::zero() 
)

◆ ~C0BallSet()

Member Function Documentation

◆ affineTransformation()

template<typename MatrixType >
C0BallSet< MatrixType >::VectorType capd::dynset::C0BallSet< MatrixType >::affineTransformation ( const MatrixType A_M,
const VectorType A_C 
) const
virtual

◆ degree()

template<typename MatrixT >
static const size_type capd::dynset::C0Set< MatrixT >::degree ( )
inlinestaticinherited

◆ evalAt()

ScalarType capd::dynset::AbstractSet< MatrixT::RowVectorType >::evalAt ( const Functional &  f) const
inlineinherited

This method computes value of functor f at interval vector represented by this set.

◆ getCurrentTime()

const ScalarType capd::diffAlgebra::TimeRange< MatrixT::ScalarType >::getCurrentTime ( ) const
inlineinherited

◆ getLastEnclosure()

const MatrixT::RowVectorType & capd::dynset::C0EnclosureHolder< MatrixT::RowVectorType >::getLastEnclosure ( ) const
inlineinherited

◆ move() [1/3]

template<typename MatrixType >
void capd::dynset::C0BallSet< MatrixType >::move ( capd::dynsys::DynSys< MatrixType > &  dynsys)
virtual

◆ move() [2/3]

template<typename MatrixType >
void capd::dynset::C0BallSet< MatrixType >::move ( capd::dynsys::DynSys< MatrixType > &  dynsys,
C0BallSet< MatrixT > &  result 
) const
virtual

◆ move() [3/3]

◆ operator MatrixT::RowVectorType()

virtual capd::dynset::C0EnclosureHolder< MatrixT::RowVectorType >::operator MatrixT::RowVectorType ( ) const
inlinevirtualinherited

returns an enclosure of the set in the canonical coordinates

◆ operator VectorType()

◆ operator=()

template<typename MatrixType >
const C0BallSet< MatrixType > & capd::dynset::C0BallSet< MatrixType >::operator= ( const C0BallSet< MatrixT > &  a_set)

◆ refCurrentTime()

ScalarType & capd::diffAlgebra::TimeRange< MatrixT::ScalarType >::refCurrentTime ( )
inlineinherited

◆ setCurrentSet()

void capd::dynset::C0EnclosureHolder< MatrixT::RowVectorType >::setCurrentSet ( const MatrixT::RowVectorType &  x)
inlineinherited

◆ setCurrentTime()

void capd::diffAlgebra::TimeRange< MatrixT::ScalarType >::setCurrentTime ( const ScalarType t)
inlineinherited

◆ setLastEnclosure()

void capd::dynset::C0EnclosureHolder< MatrixT::RowVectorType >::setLastEnclosure ( const MatrixT::RowVectorType &  enc)
inlineprotectedinherited

◆ show()

template<typename MatrixType >
std::string capd::dynset::C0BallSet< MatrixType >::show ( void  ) const
virtual

returns a set detailed information

Implements capd::dynset::AbstractSet< MatrixT::RowVectorType >.

Member Data Documentation

◆ m_currentSet

MatrixT::RowVectorType capd::dynset::C0EnclosureHolder< MatrixT::RowVectorType >::m_currentSet
protectedinherited

◆ m_currentTime

ScalarType capd::diffAlgebra::TimeRange< MatrixT::ScalarType >::m_currentTime
protectedinherited

◆ m_lastEnclosure

MatrixT::RowVectorType capd::dynset::C0EnclosureHolder< MatrixT::RowVectorType >::m_lastEnclosure
protectedinherited

◆ n

template<typename MatrixT >
NormType* capd::dynset::C0BallSet< MatrixT >::n
protected

◆ r

template<typename MatrixT >
ScalarType capd::dynset::C0BallSet< MatrixT >::r
protected

◆ x

template<typename MatrixT >
VectorType capd::dynset::C0BallSet< MatrixT >::x
protected