#include <capd/map/CnCoeffSlice.h>

Public Types
typedef MatrixT	MatrixType

typedef MatrixType::ScalarType	ScalarType

typedef MatrixType::RefColumnVectorType	RefVectorType

typedef MatrixType::RowVectorType	VectorType

typedef CnCoeff< MatrixType >	CnCoeffType

typedef ScalarType *	iterator

typedef const ScalarType *	const_iterator

typedef CnCoeffType::CnContainerType	CnContainerType

typedef CnContainerType::Multipointer	Multipointer

typedef CnContainerType::Multiindex	Multiindex

Public Member Functions
	CnCoeffSlice (CnCoeffType &coeff, int functionIndex)
	construct slice only with derivatives of function of given index More...

int	dimension () const
	dimension of domain (number of variables) More...

int	rank () const
	return maximum order stored More...

int	maxOrder () const

ScalarType &	operator() (void)
	returns a value of function, i.e. 0-order derivatives More...

const ScalarType &	operator() (void) const

ScalarType &	operator[] (int index)
	direct access to the table of derivatives More...

const ScalarType &	operator[] (int index) const
	direct access to the table of derivatives More...

ScalarType &	operator() (const Multipointer &mp)
	returns partial derivative, i.e. d^{\|mp\|}f / dx^{mp} More...

const ScalarType &	operator() (const Multipointer &mp) const
	returns partial derivative, i.e. d^{\|mp\|}f / dx^{mp} More...

ScalarType &	operator() (int i)
	returns derivative with respect to x_i More...

const ScalarType &	operator() (int i) const
	returns derivative with respect to x_i More...

ScalarType &	operator() (int i, int j)
	returns second derivative with respect to x_i and x_j More...

const ScalarType &	operator() (int i, int j) const
	returns second derivative with respect to x_i and x_j More...

iterator	begin ()

iterator	end ()

const_iterator	begin () const

const_iterator	end () const

iterator	begin (int order)

iterator	end (int order)

const_iterator	begin (int order) const

const_iterator	end (int order) const

Multipointer	first (int order) const
	returns multipointer of first derivative of given order More...

bool	next (Multipointer &mp) const
	returns true and multipointer of the next derivative of the current order or false if we are already on the last derivative. More...

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

ScalarType	operator() (const VectorType &x) const
	CnCoeffSlice represents (up to factorials) a power series of a function f: R^n -> R to a given order. it return evaluation of this power series on vector x. More...

std::string	toString (int firstVariable=0, int minRank=0, int maxRank=-1) const
	returns string containing derivatives information in human readable form More...

void	isSumOf (const CnCoeffSlice &x, const CnCoeffSlice &y)

void	isDiferenceOf (const CnCoeffSlice &x, const CnCoeffSlice &y)

void	isProductOf (const CnCoeffSlice &x, const CnCoeffSlice &y)

CnCoeffSlice &	operator/= (const ScalarType &divisor)

Protected Attributes
CnCoeffType *	m_coeff

int	m_index

Member Typedef Documentation

◆ CnCoeffType

template<typename MatrixT >

typedef CnCoeff<MatrixType> capd::map::CnCoeffSlice< MatrixT >::CnCoeffType

◆ CnContainerType

template<typename MatrixT >

typedef CnCoeffType::CnContainerType capd::map::CnCoeffSlice< MatrixT >::CnContainerType

◆ const_iterator

template<typename MatrixT >

typedef const ScalarType* capd::map::CnCoeffSlice< MatrixT >::const_iterator

◆ iterator

template<typename MatrixT >

typedef ScalarType* capd::map::CnCoeffSlice< MatrixT >::iterator

◆ MatrixType

template<typename MatrixT >

typedef MatrixT capd::map::CnCoeffSlice< MatrixT >::MatrixType

◆ Multiindex

template<typename MatrixT >

typedef CnContainerType::Multiindex capd::map::CnCoeffSlice< MatrixT >::Multiindex

◆ Multipointer

template<typename MatrixT >

typedef CnContainerType::Multipointer capd::map::CnCoeffSlice< MatrixT >::Multipointer

◆ RefVectorType

template<typename MatrixT >

typedef MatrixType::RefColumnVectorType capd::map::CnCoeffSlice< MatrixT >::RefVectorType

◆ ScalarType

template<typename MatrixT >

typedef MatrixType::ScalarType capd::map::CnCoeffSlice< MatrixT >::ScalarType

◆ VectorType

template<typename MatrixT >

typedef MatrixType::RowVectorType capd::map::CnCoeffSlice< MatrixT >::VectorType

Constructor & Destructor Documentation

◆ CnCoeffSlice()

template<typename MatrixT >

capd::map::CnCoeffSlice< MatrixT >::CnCoeffSlice	(	CnCoeffType &	coeff,
		int	functionIndex
	)

inline

construct slice only with derivatives of function of given index

Remarks: we do not copy data but refer to the original container

Member Function Documentation

◆ begin() [1/4]

template<typename MatrixT >

iterator capd::map::CnCoeffSlice< MatrixT >::begin ( )

inline

◆ begin() [2/4]

template<typename MatrixT >

const_iterator capd::map::CnCoeffSlice< MatrixT >::begin ( ) const

inline

◆ begin() [3/4]

template<typename MatrixT >

iterator capd::map::CnCoeffSlice< MatrixT >::begin ( int order )

inline

◆ begin() [4/4]

template<typename MatrixT >

const_iterator capd::map::CnCoeffSlice< MatrixT >::begin ( int order ) const

inline

◆ clear()

template<typename MatrixT >

void capd::map::CnCoeffSlice< MatrixT >::clear ( )

inline

sets all coefficients to zero

◆ dimension()

template<typename MatrixT >

int capd::map::CnCoeffSlice< MatrixT >::dimension ( ) const

inline

dimension of domain (number of variables)

◆ end() [1/4]

template<typename MatrixT >

iterator capd::map::CnCoeffSlice< MatrixT >::end ( )

inline

◆ end() [2/4]

template<typename MatrixT >

const_iterator capd::map::CnCoeffSlice< MatrixT >::end ( ) const

inline

◆ end() [3/4]

template<typename MatrixT >

iterator capd::map::CnCoeffSlice< MatrixT >::end ( int order )

inline

◆ end() [4/4]

template<typename MatrixT >

const_iterator capd::map::CnCoeffSlice< MatrixT >::end ( int order ) const

inline

◆ first()

template<typename MatrixT >

Multipointer capd::map::CnCoeffSlice< MatrixT >::first ( int order ) const

inline

returns multipointer of first derivative of given order

◆ isDiferenceOf()

template<typename MatrixT >

void capd::map::CnCoeffSlice< MatrixT >::isDiferenceOf	(	const CnCoeffSlice< MatrixT > &	x,
		const CnCoeffSlice< MatrixT > &	y
	)

inline

◆ isProductOf()

template<typename MatrixT >

void capd::map::CnCoeffSlice< MatrixT >::isProductOf	(	const CnCoeffSlice< MatrixT > &	x,
		const CnCoeffSlice< MatrixT > &	y
	)

inline

◆ isSumOf()

template<typename MatrixT >

void capd::map::CnCoeffSlice< MatrixT >::isSumOf	(	const CnCoeffSlice< MatrixT > &	x,
		const CnCoeffSlice< MatrixT > &	y
	)

inline

◆ maxOrder()

template<typename MatrixT >

int capd::map::CnCoeffSlice< MatrixT >::maxOrder ( ) const

inline

◆ next()

template<typename MatrixT >

bool capd::map::CnCoeffSlice< MatrixT >::next ( Multipointer & mp ) const

inline

returns true and multipointer of the next derivative of the current order or false if we are already on the last derivative.

◆ operator()() [1/9]

template<typename MatrixT >

ScalarType & capd::map::CnCoeffSlice< MatrixT >::operator() ( const Multipointer & mp )

inline

returns partial derivative, i.e. d^{|mp|}f / dx^{mp}

◆ operator()() [2/9]

template<typename MatrixT >

const ScalarType & capd::map::CnCoeffSlice< MatrixT >::operator() ( const Multipointer & mp ) const

inline

returns partial derivative, i.e. d^{|mp|}f / dx^{mp}

◆ operator()() [3/9]

template<typename MatrixT >

ScalarType capd::map::CnCoeffSlice< MatrixT >::operator() ( const VectorType & x ) const

inline

CnCoeffSlice represents (up to factorials) a power series of a function f: R^n -> R to a given order. it return evaluation of this power series on vector x.

◆ operator()() [4/9]

template<typename MatrixT >

ScalarType & capd::map::CnCoeffSlice< MatrixT >::operator() ( int i )

inline

returns derivative with respect to x_i

◆ operator()() [5/9]

template<typename MatrixT >

const ScalarType & capd::map::CnCoeffSlice< MatrixT >::operator() ( int i ) const

inline

returns derivative with respect to x_i

◆ operator()() [6/9]

template<typename MatrixT >

ScalarType & capd::map::CnCoeffSlice< MatrixT >::operator()	(	int	i,
		int	j
	)

inline

returns second derivative with respect to x_i and x_j

◆ operator()() [7/9]

template<typename MatrixT >

const ScalarType & capd::map::CnCoeffSlice< MatrixT >::operator()	(	int	i,
		int	j
	)		const

inline

returns second derivative with respect to x_i and x_j

◆ operator()() [8/9]

template<typename MatrixT >

ScalarType & capd::map::CnCoeffSlice< MatrixT >::operator() ( void )

returns a value of function, i.e. 0-order derivatives

◆ operator()() [9/9]

template<typename MatrixT >

const ScalarType & capd::map::CnCoeffSlice< MatrixT >::operator() ( void ) const

◆ operator/=()

template<typename MatrixT >

CnCoeffSlice & capd::map::CnCoeffSlice< MatrixT >::operator/= ( const ScalarType & divisor )

inline

◆ operator[]() [1/2]

template<typename MatrixT >

ScalarType & capd::map::CnCoeffSlice< MatrixT >::operator[] ( int index )

inline

direct access to the table of derivatives

◆ operator[]() [2/2]

template<typename MatrixT >

const ScalarType & capd::map::CnCoeffSlice< MatrixT >::operator[] ( int index ) const

inline

direct access to the table of derivatives

◆ rank()

template<typename MatrixT >

int capd::map::CnCoeffSlice< MatrixT >::rank ( ) const

inline

return maximum order stored

◆ toString()

template<typename MatrixT >

std::string capd::map::CnCoeffSlice< MatrixT >::toString	(	int	firstVariable = `0`,
		int	minRank = `0`,
		int	maxRank = `-1`
	)		const

inline

returns string containing derivatives information in human readable form

Parameters

firstVariable	display derivatives with respect to variables starting with firstVariable index
minOrder	minimum order of displayed derivatives
maxOrder	maximum order of displayed derivatives

Returns: string that contains derivatives of orders in [minOrder, maxOrder]

Member Data Documentation

◆ m_coeff

template<typename MatrixT >

CnCoeffType* capd::map::CnCoeffSlice< MatrixT >::m_coeff

protected

◆ m_index

template<typename MatrixT >

int capd::map::CnCoeffSlice< MatrixT >::m_index

protected

Public Types

Public Member Functions

Protected Attributes

Member Typedef Documentation

◆ CnCoeffType

◆ CnContainerType

◆ const_iterator

◆ iterator

◆ MatrixType

◆ Multiindex

◆ Multipointer

◆ RefVectorType

◆ ScalarType

◆ VectorType

Constructor & Destructor Documentation

◆ CnCoeffSlice()

Member Function Documentation

◆ begin() [1/4]

◆ begin() [2/4]

◆ begin() [3/4]

◆ begin() [4/4]

◆ clear()

◆ dimension()

◆ end() [1/4]

◆ end() [2/4]

◆ end() [3/4]

◆ end() [4/4]

◆ first()

◆ isDiferenceOf()

◆ isProductOf()

◆ isSumOf()

◆ maxOrder()

◆ next()

◆ operator()() [1/9]

◆ operator()() [2/9]

◆ operator()() [3/9]

◆ operator()() [4/9]

◆ operator()() [5/9]

◆ operator()() [6/9]

◆ operator()() [7/9]

◆ operator()() [8/9]

◆ operator()() [9/9]

◆ operator/=()

◆ operator[]() [1/2]

◆ operator[]() [2/2]

◆ rank()

◆ toString()

Member Data Documentation

◆ m_coeff

◆ m_index