CAPD DynSys Library 5.2.0
Public Types | Public Member Functions | Protected Attributes | List of all members
capd::diffAlgebra::C2Curve< BaseCurveT, isInterval > Class Template Reference
DiffAlgebra

This class provides methods for evaluation of the parametric curve for a given parameter value. More...

#include <capd/diffAlgebra/C2Curve.h>

Public Types

typedef BaseCurveT::HessianType HessianType
 
typedef BaseCurveT::MatrixType MatrixType
 
typedef MatrixType::RowVectorType VectorType
 
typedef MatrixType::ScalarType ScalarType
 
typedef TypeTraits< ScalarType >::Real Real
 
typedef __size_type size_type
 
typedef __difference_type difference_type
 
typedef Jet< MatrixType, 0 > JetType
 

Public Member Functions

 C2Curve (Real left, Real right, size_type dimension, size_type order, size_type degree)
 
HessianType hessian (const ScalarType &h) const
 
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 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
 

Protected Attributes

Real m_left
 
Real m_right
 domain More...
 

Detailed Description

template<class BaseCurveT, bool isInterval = capd::TypeTraits<typename BaseCurveT::ScalarType>::isInterval>
class capd::diffAlgebra::C2Curve< BaseCurveT, isInterval >

This class provides methods for evaluation of the parametric curve for a given parameter value.

Template parameter BaseCurveT must provide storage and access for coefficients.

Member Typedef Documentation

◆ difference_type

template<class BaseCurveT , bool isInterval = capd::TypeTraits<typename BaseCurveT::ScalarType>::isInterval>
typedef __difference_type capd::diffAlgebra::C2Curve< BaseCurveT, isInterval >::difference_type

◆ HessianType

template<class BaseCurveT , bool isInterval = capd::TypeTraits<typename BaseCurveT::ScalarType>::isInterval>
typedef BaseCurveT::HessianType capd::diffAlgebra::C2Curve< BaseCurveT, isInterval >::HessianType

◆ JetType

typedef Jet<MatrixType,0> capd::diffAlgebra::Curve< BaseCurveT, isInterval >::JetType
inherited

◆ MatrixType

template<class BaseCurveT , bool isInterval = capd::TypeTraits<typename BaseCurveT::ScalarType>::isInterval>
typedef BaseCurveT::MatrixType capd::diffAlgebra::C2Curve< BaseCurveT, isInterval >::MatrixType

◆ Real

template<class BaseCurveT , bool isInterval = capd::TypeTraits<typename BaseCurveT::ScalarType>::isInterval>
typedef TypeTraits<ScalarType>::Real capd::diffAlgebra::C2Curve< BaseCurveT, isInterval >::Real

◆ ScalarType

template<class BaseCurveT , bool isInterval = capd::TypeTraits<typename BaseCurveT::ScalarType>::isInterval>
typedef MatrixType::ScalarType capd::diffAlgebra::C2Curve< BaseCurveT, isInterval >::ScalarType

◆ size_type

template<class BaseCurveT , bool isInterval = capd::TypeTraits<typename BaseCurveT::ScalarType>::isInterval>
typedef __size_type capd::diffAlgebra::C2Curve< BaseCurveT, isInterval >::size_type

◆ VectorType

template<class BaseCurveT , bool isInterval = capd::TypeTraits<typename BaseCurveT::ScalarType>::isInterval>
typedef MatrixType::RowVectorType capd::diffAlgebra::C2Curve< BaseCurveT, isInterval >::VectorType

Constructor & Destructor Documentation

◆ C2Curve()

template<class BaseCurveT , bool isInterval = capd::TypeTraits<typename BaseCurveT::ScalarType>::isInterval>
capd::diffAlgebra::C2Curve< BaseCurveT, isInterval >::C2Curve ( Real  left,
Real  right,
size_type  dimension,
size_type  order,
size_type  degree 
)
inline

Member Function Documentation

◆ derivative()

Curve< BaseCurveT, isInterval >::MatrixType capd::diffAlgebra::Curve< BaseCurveT, isInterval >::derivative ( const ScalarType &  h) const
virtualinherited

Implements capd::diffAlgebra::ParametricCurve< BaseCurveT::MatrixType >.

◆ eval()

virtual void capd::diffAlgebra::ParametricCurve< BaseCurveT::MatrixType , typename MatrixT::RowVectorType >::eval ( ScalarType  ,
JetType &   
) const
inlinevirtualinherited

Reimplemented in capd::diffAlgebra::CnCurve< BaseCurveT, isInterval >, capd::diffAlgebra::CnCurve< capd::diffAlgebra::BasicCnCurve< typename MapT::MatrixType > >, and capd::diffAlgebra::CnCurve< BaseCurveT, true >.

◆ getLeftDomain()

ParametricCurve< BaseCurveT::MatrixType , typename MatrixT::RowVectorType >::Real capd::diffAlgebra::ParametricCurve< BaseCurveT::MatrixType , typename MatrixT::RowVectorType >::getLeftDomain
inlinevirtualinherited

◆ getRightDomain()

ParametricCurve< BaseCurveT::MatrixType , typename MatrixT::RowVectorType >::Real capd::diffAlgebra::ParametricCurve< BaseCurveT::MatrixType , typename MatrixT::RowVectorType >::getRightDomain
inlinevirtualinherited

◆ jet()

virtual JetType capd::diffAlgebra::ParametricCurve< BaseCurveT::MatrixType , typename MatrixT::RowVectorType >::jet ( const ScalarType &  ) const
inlinevirtualinherited

Reimplemented in capd::diffAlgebra::CnCurve< BaseCurveT, isInterval >, capd::diffAlgebra::CnCurve< capd::diffAlgebra::BasicCnCurve< typename MapT::MatrixType > >, and capd::diffAlgebra::CnCurve< BaseCurveT, true >.

◆ operator()()

Curve< BaseCurveT, isInterval >::VectorType capd::diffAlgebra::Curve< BaseCurveT, isInterval >::operator() ( const ScalarType &  h) const
virtualinherited

Implements capd::diffAlgebra::ParametricCurve< BaseCurveT::MatrixType >.

◆ operator[]()

MatrixType capd::diffAlgebra::Curve< BaseCurveT, isInterval >::operator[] ( const ScalarType &  h) const
inlinevirtualinherited

Implements capd::diffAlgebra::ParametricCurve< BaseCurveT::MatrixType >.

◆ setDomain()

void capd::diffAlgebra::ParametricCurve< BaseCurveT::MatrixType , typename MatrixT::RowVectorType >::setDomain ( Real  left,
Real  right 
)
inlinevirtualinherited

◆ timeDerivative()

Curve< BaseCurveT, isInterval >::VectorType capd::diffAlgebra::Curve< BaseCurveT, isInterval >::timeDerivative ( const ScalarType &  h) const
inherited

Member Data Documentation

◆ m_left

Real capd::diffAlgebra::ParametricCurve< BaseCurveT::MatrixType , typename MatrixT::RowVectorType >::m_left
protectedinherited

◆ m_right

Real capd::diffAlgebra::ParametricCurve< BaseCurveT::MatrixType , typename MatrixT::RowVectorType >::m_right
protectedinherited

domain