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

#include <capd/diffAlgebra/BasicCnCurve.h>

Public Types
typedef MatrixT	MatrixType

typedef MatrixType::RowVectorType	VectorType

typedef MatrixType::ScalarType	ScalarType

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

typedef TypeTraits< ScalarType >::Real	Real

typedef Jet< MatrixT, 0 >	JetType

typedef __size_type	size_type

typedef __difference_type	difference_type

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

	BasicCnCurve (const BasicCnCurve &c)

virtual	~BasicCnCurve ()

BasicCnCurve &	operator= (const BasicCnCurve &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...

size_type	degree () const
	Returns maximal degree of the jet. More...

void	setDegree (size_type degree)
	Sets new maximal degree of the jet and reallocates memory. More...

void	clearCoefficients ()
	sets all coefficients to zero More...

const ScalarType &	centerCoefficient (size_type i, size_type k) const

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

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

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

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

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

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

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

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

ScalarType &	centerCoefficient (size_type i, size_type k)

ScalarType &	coefficient (size_type i, size_type k)

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

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

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

ScalarType &	remainderCoefficient (size_type i, size_type j)

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

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

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

void	allocate (size_type dimension, size_type degree)

void	deallocate ()

void	copyData (const BasicCnCurve &c)

const VectorType *	getCoefficientsAtCenter () const

const JetType *	getCoefficients () const

const JetType *	getRemainderCoefficients () const

VectorType *	getCoefficientsAtCenter ()

JetType *	getCoefficients ()

JetType *	getRemainderCoefficients ()

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

Public Attributes
VectorType *	m_coefficientsAtCenter

JetType *	m_coefficients

JetType *	m_remainderCoefficients

size_type	m_order

size_type	m_allocatedOrder

Detailed Description

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

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

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).

Derivatives are represented as d^i c(t,x) + smallRemainder(t,x).

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

Member Typedef Documentation

◆ difference_type

template<class MatrixT >

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

◆ HessianType

template<class MatrixT >

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

◆ JetType

template<class MatrixT >

typedef Jet<MatrixT,0> capd::diffAlgebra::BasicCnCurve< MatrixT >::JetType

◆ MatrixType

template<class MatrixT >

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

◆ Real

template<class MatrixT >

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

◆ ScalarType

template<class MatrixT >

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

◆ size_type

template<class MatrixT >

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

◆ VectorType

template<class MatrixT >

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

Member Function Documentation

◆ domainErrorMessage()

template<class MatrixT >

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

inlineinherited

◆ getCoefficients()

template<class MatrixT >

JetType* capd::diffAlgebra::BasicCnCurve< MatrixT >::getCoefficients ( )

◆ getCoefficientsAtCenter()

template<class MatrixT >

VectorType* capd::diffAlgebra::BasicCnCurve< MatrixT >::getCoefficientsAtCenter ( )

◆ getRemainderCoefficients()

template<class MatrixT >

JetType* capd::diffAlgebra::BasicCnCurve< MatrixT >::getRemainderCoefficients ( )

◆ 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::BasicCnCurve< MatrixT >::m_allocatedOrder

◆ m_coefficients

template<class MatrixT >

JetType* capd::diffAlgebra::BasicCnCurve< MatrixT >::m_coefficients

◆ m_coefficientsAtCenter

template<class MatrixT >

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

◆ m_order

template<class MatrixT >

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

◆ m_remainderCoefficients

template<class MatrixT >

JetType* capd::diffAlgebra::BasicCnCurve< MatrixT >::m_remainderCoefficients

Public Types

Public Member Functions

Public Attributes

Detailed Description

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

Member Typedef Documentation

◆ difference_type

◆ HessianType

◆ JetType

◆ MatrixType

◆ Real

◆ ScalarType

◆ size_type

◆ VectorType

Member Function Documentation

◆ domainErrorMessage()

◆ getCoefficients()

◆ getCoefficientsAtCenter()

◆ getRemainderCoefficients()

◆ setInitHessian()

◆ setInitJet()

◆ setInitMatrix()

Member Data Documentation

◆ m_allocatedOrder

◆ m_coefficients

◆ m_coefficientsAtCenter

◆ m_order

◆ m_remainderCoefficients

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