This class is a data structure for storing of a parametric curve together with first order derivatives with respect to initial point. More...

#include <capd/diffAlgebra/BasicCurve.h>

Public Types
typedef MatrixT	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 VectorType::iterator	iterator

typedef VectorType::const_iterator	const_iterator

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

typedef Jet< MatrixType, 0 >	JetType

Public Member Functions
	BasicCurve (size_type dimension, size_type order, size_type degree)

	BasicCurve (const BasicCurve &c)

virtual	~BasicCurve ()

BasicCurve &	operator= (const BasicCurve &c)

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

const ScalarType &	coefficient (size_type i, size_type j) const

const ScalarType &	remainderCoefficient (size_type i, size_type j) const

const ScalarType &	coefficient (size_type i, size_type j, size_type k) const

const ScalarType &	remainderCoefficient (size_type i, size_type j, size_type k) const

ScalarType &	centerCoefficient (size_type i, size_type j)

ScalarType &	coefficient (size_type i, size_type j)

ScalarType &	remainderCoefficient (size_type i, size_type j)

ScalarType &	coefficient (size_type i, size_type j, size_type k)

ScalarType &	remainderCoefficient (size_type i, size_type j, size_type k)

const VectorType *	getCoefficientsAtCenter () const

const VectorType *	getCoefficients () const

const VectorType *	getRemainderCoefficients () const

const MatrixType *	getMatrixCoefficients () const

const MatrixType *	getMatrixRemainderCoefficients () const

VectorType *	getCoefficientsAtCenter ()

VectorType *	getCoefficients ()

VectorType *	getRemainderCoefficients ()

MatrixType *	getMatrixCoefficients ()

MatrixType *	getMatrixRemainderCoefficients ()

iterator	beginCenterCoefficients (size_type j)

iterator	beginCoefficients (size_type j)

iterator	beginRemainderCoefficients (size_type j)

iterator	beginMatrixCoefficients (size_type j)

iterator	beginMatrixRemainderCoefficients (size_type j)

iterator	endCenterCoefficients (size_type j)

iterator	endCoefficients (size_type j)

iterator	endRemainderCoefficients (size_type j)

iterator	endMatrixCoefficients (size_type j)

iterator	endMatrixRemainderCoefficients (size_type j)

const_iterator	beginCenterCoefficients (size_type j) const

const_iterator	beginCoefficients (size_type j) const

const_iterator	beginRemainderCoefficients (size_type j) const

const_iterator	beginMatrixCoefficients (size_type j) const

const_iterator	beginMatrixRemainderCoefficients (size_type j) const

const_iterator	endCenterCoefficients (size_type j) const

const_iterator	endCoefficients (size_type j) const

const_iterator	endRemainderCoefficients (size_type j) const

const_iterator	endMatrixCoefficients (size_type j) const

const_iterator	endMatrixRemainderCoefficients (size_type j) const

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

Protected Member Functions
void	allocate ()

void	deallocate ()

void	copyData (const BasicCurve &c)

Protected Attributes
VectorType *	m_coefficientsAtCenter

VectorType *	m_coefficients

VectorType *	m_remainderCoefficients

MatrixType *	m_matrixCoefficients

MatrixType *	m_matrixRemainderCoefficients

size_type	m_order

size_type	m_allocatedOrder

size_type	m_dimension

Detailed Description

template<class MatrixT>
class capd::diffAlgebra::BasicCurve< MatrixT >

This class is a data structure for storing of a parametric curve together with first order derivatives with respect to initial point.

More precisely, a curve c(t,x) is represented as c(t,x_0) + d/dx c(t,x)(x-x_0) + smallRemainder(t,x)

This class provides a member functions for accessing of all coefficients.

This class is a basic class for more general Curve.

Member Typedef Documentation

◆ const_iterator

template<class MatrixT >

typedef VectorType::const_iterator capd::diffAlgebra::BasicCurve< MatrixT >::const_iterator

◆ difference_type

template<class MatrixT >

typedef __difference_type capd::diffAlgebra::BasicCurve< MatrixT >::difference_type

◆ HessianType

template<class MatrixT >

typedef Hessian<ScalarType,VectorType::csDim,VectorType::csDim> capd::diffAlgebra::CurveInterface< MatrixT >::HessianType

inherited

◆ iterator

template<class MatrixT >

typedef VectorType::iterator capd::diffAlgebra::BasicCurve< MatrixT >::iterator

◆ JetType

template<class MatrixT >

typedef Jet<MatrixType,0> capd::diffAlgebra::CurveInterface< MatrixT >::JetType

inherited

◆ MatrixType

template<class MatrixT >

typedef MatrixT capd::diffAlgebra::BasicCurve< MatrixT >::MatrixType

◆ Real

template<class MatrixT >

typedef TypeTraits<ScalarType>::Real capd::diffAlgebra::BasicCurve< MatrixT >::Real

◆ ScalarType

template<class MatrixT >

typedef MatrixType::ScalarType capd::diffAlgebra::BasicCurve< MatrixT >::ScalarType

◆ size_type

template<class MatrixT >

typedef __size_type capd::diffAlgebra::BasicCurve< MatrixT >::size_type

◆ VectorType

template<class MatrixT >

typedef MatrixType::RowVectorType capd::diffAlgebra::BasicCurve< MatrixT >::VectorType

Member Function Documentation

◆ beginCenterCoefficients() [1/2]

template<class MatrixT >

iterator capd::diffAlgebra::BasicCurve< MatrixT >::beginCenterCoefficients ( size_type j )

inline

◆ beginCenterCoefficients() [2/2]

template<class MatrixT >

const_iterator capd::diffAlgebra::BasicCurve< MatrixT >::beginCenterCoefficients ( size_type j ) const

inline

◆ beginCoefficients() [1/2]

template<class MatrixT >

iterator capd::diffAlgebra::BasicCurve< MatrixT >::beginCoefficients ( size_type j )

inline

◆ beginCoefficients() [2/2]

template<class MatrixT >

const_iterator capd::diffAlgebra::BasicCurve< MatrixT >::beginCoefficients ( size_type j ) const

inline

◆ beginMatrixCoefficients() [1/2]

template<class MatrixT >

iterator capd::diffAlgebra::BasicCurve< MatrixT >::beginMatrixCoefficients ( size_type j )

inline

◆ beginMatrixCoefficients() [2/2]

template<class MatrixT >

const_iterator capd::diffAlgebra::BasicCurve< MatrixT >::beginMatrixCoefficients ( size_type j ) const

inline

◆ beginMatrixRemainderCoefficients() [1/2]

template<class MatrixT >

iterator capd::diffAlgebra::BasicCurve< MatrixT >::beginMatrixRemainderCoefficients ( size_type j )

inline

◆ beginMatrixRemainderCoefficients() [2/2]

template<class MatrixT >

const_iterator capd::diffAlgebra::BasicCurve< MatrixT >::beginMatrixRemainderCoefficients ( size_type j ) const

inline

◆ beginRemainderCoefficients() [1/2]

template<class MatrixT >

iterator capd::diffAlgebra::BasicCurve< MatrixT >::beginRemainderCoefficients ( size_type j )

inline

◆ beginRemainderCoefficients() [2/2]

template<class MatrixT >

const_iterator capd::diffAlgebra::BasicCurve< MatrixT >::beginRemainderCoefficients ( size_type j ) const

inline

◆ domainErrorMessage()

template<class MatrixT >

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

inlineinherited

◆ endCenterCoefficients() [1/2]

template<class MatrixT >

iterator capd::diffAlgebra::BasicCurve< MatrixT >::endCenterCoefficients ( size_type j )

inline

◆ endCenterCoefficients() [2/2]

template<class MatrixT >

const_iterator capd::diffAlgebra::BasicCurve< MatrixT >::endCenterCoefficients ( size_type j ) const

inline

◆ endCoefficients() [1/2]

template<class MatrixT >

iterator capd::diffAlgebra::BasicCurve< MatrixT >::endCoefficients ( size_type j )

inline

◆ endCoefficients() [2/2]

template<class MatrixT >

const_iterator capd::diffAlgebra::BasicCurve< MatrixT >::endCoefficients ( size_type j ) const

inline

◆ endMatrixCoefficients() [1/2]

template<class MatrixT >

iterator capd::diffAlgebra::BasicCurve< MatrixT >::endMatrixCoefficients ( size_type j )

inline

◆ endMatrixCoefficients() [2/2]

template<class MatrixT >

const_iterator capd::diffAlgebra::BasicCurve< MatrixT >::endMatrixCoefficients ( size_type j ) const

inline

◆ endMatrixRemainderCoefficients() [1/2]

template<class MatrixT >

iterator capd::diffAlgebra::BasicCurve< MatrixT >::endMatrixRemainderCoefficients ( size_type j )

inline

◆ endMatrixRemainderCoefficients() [2/2]

template<class MatrixT >

const_iterator capd::diffAlgebra::BasicCurve< MatrixT >::endMatrixRemainderCoefficients ( size_type j ) const

inline

◆ endRemainderCoefficients() [1/2]

template<class MatrixT >

iterator capd::diffAlgebra::BasicCurve< MatrixT >::endRemainderCoefficients ( size_type j )

inline

◆ endRemainderCoefficients() [2/2]

template<class MatrixT >

const_iterator capd::diffAlgebra::BasicCurve< MatrixT >::endRemainderCoefficients ( size_type j ) const

inline

◆ setInitHessian()

template<class MatrixT >

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

inlineinherited

◆ setInitJet()

template<class MatrixT >

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

inlineinherited

◆ setInitMatrix()

template<class MatrixT >

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

inlineinherited

Member Data Documentation

◆ m_allocatedOrder

template<class MatrixT >

size_type capd::diffAlgebra::BasicCurve< MatrixT >::m_allocatedOrder

protected

◆ m_coefficients

template<class MatrixT >

VectorType* capd::diffAlgebra::BasicCurve< MatrixT >::m_coefficients

protected

◆ m_coefficientsAtCenter

template<class MatrixT >

VectorType* capd::diffAlgebra::BasicCurve< MatrixT >::m_coefficientsAtCenter

protected

◆ m_dimension

template<class MatrixT >

size_type capd::diffAlgebra::BasicCurve< MatrixT >::m_dimension

protected

◆ m_matrixCoefficients

template<class MatrixT >

MatrixType* capd::diffAlgebra::BasicCurve< MatrixT >::m_matrixCoefficients

protected

◆ m_matrixRemainderCoefficients

template<class MatrixT >

MatrixType* capd::diffAlgebra::BasicCurve< MatrixT >::m_matrixRemainderCoefficients

protected

◆ m_order

template<class MatrixT >

size_type capd::diffAlgebra::BasicCurve< MatrixT >::m_order

protected

◆ m_remainderCoefficients

template<class MatrixT >

VectorType* capd::diffAlgebra::BasicCurve< MatrixT >::m_remainderCoefficients

protected

The documentation for this class was generated from the following files:

capd/diffAlgebra/BasicCurve.h
capd/diffAlgebra/BasicCurve.hpp

Public Types

Public Member Functions

Protected Member Functions

Protected Attributes

Detailed Description

template<class MatrixT> class capd::diffAlgebra::BasicCurve< MatrixT >

Member Typedef Documentation

◆ const_iterator

◆ difference_type

◆ HessianType

◆ iterator

◆ JetType

◆ MatrixType

◆ Real

◆ ScalarType

◆ size_type

◆ VectorType

Member Function Documentation

◆ beginCenterCoefficients() [1/2]

◆ beginCenterCoefficients() [2/2]

◆ beginCoefficients() [1/2]

◆ beginCoefficients() [2/2]

◆ beginMatrixCoefficients() [1/2]

◆ beginMatrixCoefficients() [2/2]

◆ beginMatrixRemainderCoefficients() [1/2]

◆ beginMatrixRemainderCoefficients() [2/2]

◆ beginRemainderCoefficients() [1/2]

◆ beginRemainderCoefficients() [2/2]

◆ domainErrorMessage()

◆ endCenterCoefficients() [1/2]

◆ endCenterCoefficients() [2/2]

◆ endCoefficients() [1/2]

◆ endCoefficients() [2/2]

◆ endMatrixCoefficients() [1/2]

◆ endMatrixCoefficients() [2/2]

◆ endMatrixRemainderCoefficients() [1/2]

◆ endMatrixRemainderCoefficients() [2/2]

◆ endRemainderCoefficients() [1/2]

◆ endRemainderCoefficients() [2/2]

◆ setInitHessian()

◆ setInitJet()

◆ setInitMatrix()

Member Data Documentation

◆ m_allocatedOrder

◆ m_coefficients

◆ m_coefficientsAtCenter

◆ m_dimension

◆ m_matrixCoefficients

◆ m_matrixRemainderCoefficients

◆ m_order

◆ m_remainderCoefficients

template<class MatrixT>
class capd::diffAlgebra::BasicCurve< MatrixT >