capd::diffAlgebra::BasicCurve< MatrixT > Class Template Reference

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