Specialization for interval types. More...

#include <capd/diffAlgebra/Curve.h>

Public Types
typedef BaseCurveT::MatrixType	MatrixType

typedef MatrixType::RowVectorType	VectorType

typedef MatrixType::ScalarType	ScalarType

typedef TypeTraits< ScalarType >::Real	Real

typedef Hessian< ScalarType, VectorType::csDim, VectorType::csDim >	HessianType

typedef Jet< MatrixType, 0 >	JetType

typedef __size_type	size_type

typedef __difference_type	difference_type

Public Member Functions
	Curve (Real left, Real right, size_type dimension, size_type order, size_type degree)

VectorType	timeDerivative (const ScalarType &h) const

VectorType	operator() (const ScalarType &h) const

MatrixType	derivative (const ScalarType &h) const

MatrixType	operator[] (const ScalarType &h) const

void	setInitMatrix (const MatrixType &M)

MatrixType	oneStepDerivative (const ScalarType &h) const

MatrixType	oneStepDerivativeOfNumericalMethod (const ScalarType &h) const

VectorType	valueAtCenter (const ScalarType &h) const

VectorType	remainder (const ScalarType &h) const

VectorType	getCenter () 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

Protected Attributes
MatrixType	initMatrix

Real	m_left

Real	m_right
	domain More...

Detailed Description

template<class BaseCurveT>
class capd::diffAlgebra::Curve< BaseCurveT, true >

Specialization for interval types.

Member Typedef Documentation

◆ difference_type

template<class BaseCurveT >

typedef __difference_type capd::diffAlgebra::Curve< BaseCurveT, true >::difference_type

◆ HessianType

template<class BaseCurveT >

typedef Hessian<ScalarType,VectorType::csDim,VectorType::csDim> capd::diffAlgebra::Curve< BaseCurveT, true >::HessianType

◆ JetType

template<class BaseCurveT >

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

◆ MatrixType

template<class BaseCurveT >

typedef BaseCurveT::MatrixType capd::diffAlgebra::Curve< BaseCurveT, true >::MatrixType

◆ Real

template<class BaseCurveT >

typedef TypeTraits<ScalarType>::Real capd::diffAlgebra::Curve< BaseCurveT, true >::Real

◆ ScalarType

template<class BaseCurveT >

typedef MatrixType::ScalarType capd::diffAlgebra::Curve< BaseCurveT, true >::ScalarType

◆ size_type

template<class BaseCurveT >

typedef __size_type capd::diffAlgebra::Curve< BaseCurveT, true >::size_type

◆ VectorType

template<class BaseCurveT >

typedef MatrixType::RowVectorType capd::diffAlgebra::Curve< BaseCurveT, true >::VectorType

Constructor & Destructor Documentation

◆ Curve()

template<class BaseCurveT >

capd::diffAlgebra::Curve< BaseCurveT, true >::Curve	(	Real	left,
		Real	right,
		size_type	dimension,
		size_type	order,
		size_type	degree
	)

Member Function Documentation

◆ derivative()

template<class BaseCurveT >

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

inlinevirtual

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

◆ eval()

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

inlinevirtualinherited

Reimplemented in capd::diffAlgebra::CnCurve< BaseCurveT, true >, and capd::diffAlgebra::CnCurve< BaseCurveT, isInterval >.

◆ getCenter()

template<class BaseCurveT >

Curve< BaseCurveT, true >::VectorType capd::diffAlgebra::Curve< BaseCurveT, true >::getCenter

◆ getLeftDomain()

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

inlinevirtualinherited

◆ getRightDomain()

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

inlinevirtualinherited

◆ hessian()

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

inlinevirtualinherited

Reimplemented in capd::diffAlgebra::CnCurve< BaseCurveT, true >, capd::diffAlgebra::C2Curve< BaseCurveT, true >, capd::diffAlgebra::CnCurve< BaseCurveT, isInterval >, and capd::diffAlgebra::C2Curve< BaseCurveT, isInterval >.

◆ jet()

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

inlinevirtualinherited

Reimplemented in capd::diffAlgebra::CnCurve< BaseCurveT, true >, and capd::diffAlgebra::CnCurve< BaseCurveT, isInterval >.

◆ oneStepDerivative()

template<class BaseCurveT >

Curve< BaseCurveT, true >::MatrixType capd::diffAlgebra::Curve< BaseCurveT, true >::oneStepDerivative ( const ScalarType & h ) const

◆ oneStepDerivativeOfNumericalMethod()

template<class BaseCurveT >

Curve< BaseCurveT, true >::MatrixType capd::diffAlgebra::Curve< BaseCurveT, true >::oneStepDerivativeOfNumericalMethod ( const ScalarType & h ) const

◆ operator()()

template<class BaseCurveT >

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

virtual

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

◆ operator[]()

template<class BaseCurveT >

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

inlinevirtual

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

◆ remainder()

template<class BaseCurveT >

Curve< BaseCurveT, true >::VectorType capd::diffAlgebra::Curve< BaseCurveT, true >::remainder ( const ScalarType & h ) const

◆ setDomain()

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

inlinevirtualinherited

◆ setInitMatrix()

template<class BaseCurveT >

void capd::diffAlgebra::Curve< BaseCurveT, true >::setInitMatrix ( const MatrixType & M )

inline

◆ timeDerivative()

template<class BaseCurveT >

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

◆ valueAtCenter()

template<class BaseCurveT >

Curve< BaseCurveT, true >::VectorType capd::diffAlgebra::Curve< BaseCurveT, true >::valueAtCenter ( const ScalarType & h ) const

Member Data Documentation

◆ initMatrix

template<class BaseCurveT >

MatrixType capd::diffAlgebra::Curve< BaseCurveT, true >::initMatrix

protected

◆ m_left

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

protectedinherited

◆ m_right

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

protectedinherited

domain

Public Types

Public Member Functions

Protected Attributes

Detailed Description

template<class BaseCurveT> class capd::diffAlgebra::Curve< BaseCurveT, true >

Member Typedef Documentation

◆ difference_type

◆ HessianType

◆ JetType

◆ MatrixType

◆ Real

◆ ScalarType

◆ size_type

◆ VectorType

Constructor & Destructor Documentation

◆ Curve()

Member Function Documentation

◆ derivative()

◆ eval()

◆ getCenter()

◆ getLeftDomain()

◆ getRightDomain()

◆ hessian()

◆ jet()

◆ oneStepDerivative()

◆ oneStepDerivativeOfNumericalMethod()

◆ operator()()

◆ operator[]()

◆ remainder()

◆ setDomain()

◆ setInitMatrix()

◆ timeDerivative()

◆ valueAtCenter()

Member Data Documentation

◆ initMatrix

◆ m_left

◆ m_right

template<class BaseCurveT>
class capd::diffAlgebra::Curve< BaseCurveT, true >