The class is used to store coefficients of a truncated power series to degree D $ f:R^N->R^M $ Coefficients area assumed to be of a numeric type. More...

#include <capd/diffAlgebra/Jet.h>

Classes
struct	rebind

Public Types
typedef MatrixT	MatrixType

typedef MatrixType::ScalarType	ScalarType

typedef MatrixType::RefColumnVectorType	RefVectorType

typedef MatrixType::RowVectorType	VectorType

typedef MatrixType::ColumnVectorType	ImageVectorType

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

typedef ScalarType *	iterator

typedef CnContainer< ScalarType, ImageVectorType::csDim, VectorType::csDim, DEGREE >	CnContainerType

typedef CnContainerType::BaseContainer	ContainerType

typedef CnContainerType::Multipointer	Multipointer

typedef CnContainerType::Multiindex	Multiindex

typedef __size_type	size_type

typedef __difference_type	difference_type

typedef capd::vectalg::Container< MatrixT::ScalarType, M N D!=0 ? M *Binomial< N+D, D >::value :0 >	BaseContainer

typedef MatrixT::ScalarType	ObjectType

typedef std::reverse_iterator< iterator >	reverse_iterator

typedef std::reverse_iterator< const_iterator >	const_reverse_iterator

Public Member Functions
	Jet ()

	Jet (size_type n, size_type d)

	Jet (size_type m, size_type n, size_type d)

	Jet (const Jet &v)=default

	Jet (Jet &&v)

Jet &	operator= (const Jet &)=default

Jet &	operator= (Jet &&v)

RefVectorType	operator() (const Multipointer &mp) const
	this operator returns a vector of partial derivatives, i.e. result[i] = d^{mp}f_i More...

RefVectorType	operator() (const Multiindex &mp) const
	this operator returns a vector of partial derivatives, i.e. result[i] = d^{mp}f_i More...

	operator ImageVectorType () const
	this operator returns a value of function, i.e. 0-order derivatives More...

RefVectorType	operator() (void) const
	this operator returns value of function as a reference More...

	operator MatrixType () const
	this operator returns first order derivatives as a matrix More...

void	setMatrix (const MatrixType &)

	operator HessianType () const
	this operator returns second order derivatives as a hessian object More...

ImageVectorType	operator() (const VectorType &) const

MatrixType	derivative (const VectorType &v) const

ImageVectorType	operator() (const VectorType &v, MatrixType &matrix) const

std::string	toString (int minFun=0, int maxFun=-1, int firstVariable=0, int minDegree=0, int maxDegree=-1, int precision=-1) const
	returns string containing derivatives information More...

std::ostream &	save (std::ostream &out, std::streamsize prec=capd::TypeTraits< ScalarType >::numberOfDigits()+1) const
	saves data to stream out with given precision (the default precision allows to load data without lose of precision) More...

std::istream &	load (std::istream &in)
	loads cn data from given stream (expected format is exactly this provided by save) More...

iterator	begin (size_type i)
	iterator selection. Returns iterator to the first coefficient of the i-th component More...

iterator	begin (size_type i, size_type d)
	iterator selection. Returns iterator to the first coefficient of the i-th component of the homogeneous part of degree 'd' More...

const_iterator	begin (size_type i) const
	iterator selection. Returns iterator to the first coefficient of the i-th component More...

const_iterator	begin (size_type i, size_type d) const
	iterator selection. Returns iterator to the first coefficient of the i-th component of the homogeneous part of degree 'd' More...

iterator	end (size_type i)
	iterator selection. Returns iterator to an element after the last element the i-th component More...

iterator	end (size_type i, size_type d)
	iterator selection. Returns iterator to an element after the last coefficient of the i-th component of the homogeneous part of degree 'd' More...

const_iterator	end (size_type i) const
	iterator selection. Returns iterator to an element after the last element the i-th component More...

const_iterator	end (size_type i, size_type d) const
	iterator selection. Returns iterator to an element after the last coefficient of the i-th component of the homogeneous part of degree 'd' More...

size_type	dimension () const
	returns number of variables of the polynomial More...

size_type	degree () const
	returns degree of the polynomial More...

size_type	imageDimension () const
	returns number of polynomials (dimension of counterdomain) More...

MatrixT::ScalarType &	operator() (size_type i, const Multipointer &mp)
	selection of coefficient of i-th component that correspond to multipointer mp More...

MatrixT::ScalarType &	operator() (size_type i, const Multipointer &, const Multipointer &)

MatrixT::ScalarType &	operator() (size_type i, const Multiindex &mi)
	selection of coefficient of i-th component that correspond to multiindex mi More...

const MatrixT::ScalarType &	operator() (size_type i, const Multipointer &) const
	selection of coefficient of i-th component that correspond to multipointer mp More...

const MatrixT::ScalarType &	operator() (size_type i, const Multipointer &, const Multipointer &) const

const MatrixT::ScalarType &	operator() (size_type i, const Multiindex &) const
	selection of coefficient of i-th component that correspond to multiindex mi More...

MatrixT::ScalarType &	operator() (size_type i)
	returns constant term of the i-th component of polynomial More...

MatrixT::ScalarType &	operator() (size_type i, size_type j)
	returns reference to a coefficient in linear part, i.e. More...

MatrixT::ScalarType &	operator() (size_type i, size_type j, size_type c)
	returns reference to a coefficient in second order part, i.e. More...

MatrixT::ScalarType &	operator() (size_type i, size_type j, size_type c, size_type k)
	returns reference to a coefficient in third order part, i.e. More...

const MatrixT::ScalarType &	operator() (size_type i) const
	returns constant term of the i-th component of polynomial More...

const MatrixT::ScalarType &	operator() (size_type i, size_type j) const
	returns read only reference to a coefficient in linear part, i.e. More...

const MatrixT::ScalarType &	operator() (size_type i, size_type j, size_type c) const
	returns read only reference to a coefficient in second order part, i.e. More...

const MatrixT::ScalarType &	operator() (size_type i, size_type j, size_type c, size_type k) const
	returns read only reference to a coefficient in third order part, i.e. More...

ScalarType &	operator() (size_type)

const ScalarType &	operator() (size_type) const

iterator	begin (size_type i)
	iterator selection. Returns iterator to the first coefficient of the i-th component More...

iterator	begin (size_type i, size_type d)
	iterator selection. Returns iterator to the first coefficient of the i-th component of the homogeneous part of degree 'd' More...

const_iterator	begin (size_type i) const
	iterator selection. Returns iterator to the first coefficient of the i-th component More...

const_iterator	begin (size_type i, size_type d) const
	iterator selection. Returns iterator to the first coefficient of the i-th component of the homogeneous part of degree 'd' More...

iterator	end (size_type i)
	iterator selection. Returns iterator to an element after the last element the i-th component More...

iterator	end (size_type i, size_type d)
	iterator selection. Returns iterator to an element after the last coefficient of the i-th component of the homogeneous part of degree 'd' More...

const_iterator	end (size_type i) const
	iterator selection. Returns iterator to an element after the last element the i-th component More...

const_iterator	end (size_type i, size_type d) const
	iterator selection. Returns iterator to an element after the last coefficient of the i-th component of the homogeneous part of degree 'd' More...

Multipointer	first (size_type d) const
	Selection of elements by multipointers. More...

bool	hasNext (Multipointer &) const
	see description of the method first. More...

bool	hasNext (Multiindex &) const
	see description of the method first. More...

reverse_iterator	rbegin ()

const_reverse_iterator	rbegin () const

reverse_iterator	rend ()

const_reverse_iterator	rend () const

void	resize (size_type newCapacity)

ScalarType &	operator[] (size_type)

const ScalarType &	operator[] (size_type) const

void	clear ()

Static Public Member Functions
static size_type	size ()

Public Attributes
const typedef ScalarType *	const_iterator

size_type	m_N
	number of variables More...

size_type	m_M
	number of components More...

Protected Attributes
size_type	m_D
	total degree of polynomial More...

ScalarType	data [capacity]

Friends
std::ostream &	operator<< (std::ostream &out, const Jet &jet)

std::istream &	operator>> (std::istream &in, Jet &jet)

Detailed Description

template<typename MatrixT, __size_type DEGREE>
class capd::diffAlgebra::Jet< MatrixT, DEGREE >

The class is used to store coefficients of a truncated power series to degree D $ f:R^N->R^M $ Coefficients area assumed to be of a numeric type.

The base CnContainer is used to manage memory allocations, copying, etc.

Member Typedef Documentation

◆ BaseContainer

typedef capd::vectalg::Container<MatrixT::ScalarType ,M*N*D!=0 ? M*Binomial<N+D,D>::value : 0> capd::diffAlgebra::CnContainer< MatrixT::ScalarType , M, N, D >::BaseContainer

inherited

◆ CnContainerType

template<typename MatrixT , __size_type DEGREE>

typedef CnContainer<ScalarType,ImageVectorType::csDim,VectorType::csDim,DEGREE> capd::diffAlgebra::Jet< MatrixT, DEGREE >::CnContainerType

◆ const_reverse_iterator

typedef std::reverse_iterator<const_iterator> capd::vectalg::Container< MatrixT::ScalarType , capacity >::const_reverse_iterator

inherited

◆ ContainerType

template<typename MatrixT , __size_type DEGREE>

typedef CnContainerType::BaseContainer capd::diffAlgebra::Jet< MatrixT, DEGREE >::ContainerType

◆ difference_type

template<typename MatrixT , __size_type DEGREE>

typedef __difference_type capd::diffAlgebra::Jet< MatrixT, DEGREE >::difference_type

◆ HessianType

template<typename MatrixT , __size_type DEGREE>

typedef capd::diffAlgebra::Hessian<ScalarType,ImageVectorType::csDim,VectorType::csDim> capd::diffAlgebra::Jet< MatrixT, DEGREE >::HessianType

◆ ImageVectorType

template<typename MatrixT , __size_type DEGREE>

typedef MatrixType::ColumnVectorType capd::diffAlgebra::Jet< MatrixT, DEGREE >::ImageVectorType

◆ iterator

template<typename MatrixT , __size_type DEGREE>

typedef ScalarType* capd::diffAlgebra::Jet< MatrixT, DEGREE >::iterator

◆ MatrixType

template<typename MatrixT , __size_type DEGREE>

typedef MatrixT capd::diffAlgebra::Jet< MatrixT, DEGREE >::MatrixType

◆ Multiindex

template<typename MatrixT , __size_type DEGREE>

typedef CnContainerType::Multiindex capd::diffAlgebra::Jet< MatrixT, DEGREE >::Multiindex

◆ Multipointer

template<typename MatrixT , __size_type DEGREE>

typedef CnContainerType::Multipointer capd::diffAlgebra::Jet< MatrixT, DEGREE >::Multipointer

◆ ObjectType

typedef MatrixT::ScalarType capd::diffAlgebra::CnContainer< MatrixT::ScalarType , M, N, D >::ObjectType

inherited

◆ RefVectorType

template<typename MatrixT , __size_type DEGREE>

typedef MatrixType::RefColumnVectorType capd::diffAlgebra::Jet< MatrixT, DEGREE >::RefVectorType

◆ reverse_iterator

typedef std::reverse_iterator<iterator> capd::vectalg::Container< MatrixT::ScalarType , capacity >::reverse_iterator

inherited

◆ ScalarType

template<typename MatrixT , __size_type DEGREE>

typedef MatrixType::ScalarType capd::diffAlgebra::Jet< MatrixT, DEGREE >::ScalarType

◆ size_type

template<typename MatrixT , __size_type DEGREE>

typedef __size_type capd::diffAlgebra::Jet< MatrixT, DEGREE >::size_type

◆ VectorType

template<typename MatrixT , __size_type DEGREE>

typedef MatrixType::RowVectorType capd::diffAlgebra::Jet< MatrixT, DEGREE >::VectorType

Constructor & Destructor Documentation

◆ Jet() [1/2]

template<typename MatrixT , __size_type DEGREE>

capd::diffAlgebra::Jet< MatrixT, DEGREE >::Jet ( const Jet< MatrixT, DEGREE > & v )

default

◆ Jet() [2/2]

template<typename MatrixT , __size_type DEGREE>

capd::diffAlgebra::Jet< MatrixT, DEGREE >::Jet ( Jet< MatrixT, DEGREE > && v )

inline

Member Function Documentation

◆ begin() [1/8]

CnContainer< MatrixT::ScalarType , M, N, D >::iterator capd::diffAlgebra::CnContainer< MatrixT::ScalarType , M, N, D >::begin ( size_type i )

inlineinherited

iterator selection. Returns iterator to the first coefficient of the i-th component

◆ begin() [2/8]

template<typename MatrixT , __size_type DEGREE>

CnContainer< Object, M, N, D >::iterator capd::diffAlgebra::CnContainer< Object, M, N, D >::begin

inline

iterator selection. Returns iterator to the first coefficient of the i-th component

◆ begin() [3/8]

CnContainer< MatrixT::ScalarType , M, N, D >::const_iterator capd::diffAlgebra::CnContainer< MatrixT::ScalarType , M, N, D >::begin ( size_type i ) const

inlineinherited

iterator selection. Returns iterator to the first coefficient of the i-th component

◆ begin() [4/8]

template<typename MatrixT , __size_type DEGREE>

CnContainer< Object, M, N, D >::const_iterator capd::diffAlgebra::CnContainer< Object, M, N, D >::begin

inline

iterator selection. Returns iterator to the first coefficient of the i-th component

◆ begin() [5/8]

CnContainer< MatrixT::ScalarType , M, N, D >::iterator capd::diffAlgebra::CnContainer< MatrixT::ScalarType , M, N, D >::begin	(	size_type	i,
		size_type	d
	)

inlineinherited

iterator selection. Returns iterator to the first coefficient of the i-th component of the homogeneous part of degree 'd'

◆ begin() [6/8]

template<typename MatrixT , __size_type DEGREE>

CnContainer< Object, M, N, D >::iterator capd::diffAlgebra::CnContainer< Object, M, N, D >::begin

inline

iterator selection. Returns iterator to the first coefficient of the i-th component of the homogeneous part of degree 'd'

◆ begin() [7/8]

CnContainer< MatrixT::ScalarType , M, N, D >::const_iterator capd::diffAlgebra::CnContainer< MatrixT::ScalarType , M, N, D >::begin	(	size_type	i,
		size_type	d
	)		const

inlineinherited

iterator selection. Returns iterator to the first coefficient of the i-th component of the homogeneous part of degree 'd'

◆ begin() [8/8]

template<typename MatrixT , __size_type DEGREE>

CnContainer< Object, M, N, D >::const_iterator capd::diffAlgebra::CnContainer< Object, M, N, D >::begin

inline

iterator selection. Returns iterator to the first coefficient of the i-th component of the homogeneous part of degree 'd'

◆ clear()

void capd::vectalg::Container< MatrixT::ScalarType , capacity >::clear

inherited

◆ degree()

template<typename MatrixT , __size_type DEGREE>

CnContainer< Object, M, N, D >::size_type capd::diffAlgebra::CnContainer< Object, M, N, D >::degree

inline

returns degree of the polynomial

◆ derivative()

template<typename MatrixT , __size_type DEGREE>

Jet< MatrixT, DEGREE >::MatrixType capd::diffAlgebra::Jet< MatrixT, DEGREE >::derivative ( const VectorType & v ) const

◆ dimension()

template<typename MatrixT , __size_type DEGREE>

CnContainer< Object, M, N, D >::size_type capd::diffAlgebra::CnContainer< Object, M, N, D >::dimension

inline

returns number of variables of the polynomial

◆ end() [1/8]

CnContainer< MatrixT::ScalarType , M, N, D >::iterator capd::diffAlgebra::CnContainer< MatrixT::ScalarType , M, N, D >::end ( size_type i )

inlineinherited

iterator selection. Returns iterator to an element after the last element the i-th component

◆ end() [2/8]

template<typename MatrixT , __size_type DEGREE>

CnContainer< Object, M, N, D >::iterator capd::diffAlgebra::CnContainer< Object, M, N, D >::end

inline

iterator selection. Returns iterator to an element after the last element the i-th component

◆ end() [3/8]

CnContainer< MatrixT::ScalarType , M, N, D >::const_iterator capd::diffAlgebra::CnContainer< MatrixT::ScalarType , M, N, D >::end ( size_type i ) const

inlineinherited

iterator selection. Returns iterator to an element after the last element the i-th component

◆ end() [4/8]

template<typename MatrixT , __size_type DEGREE>

CnContainer< Object, M, N, D >::const_iterator capd::diffAlgebra::CnContainer< Object, M, N, D >::end

inline

iterator selection. Returns iterator to an element after the last element the i-th component

◆ end() [5/8]

CnContainer< MatrixT::ScalarType , M, N, D >::iterator capd::diffAlgebra::CnContainer< MatrixT::ScalarType , M, N, D >::end	(	size_type	i,
		size_type	d
	)

inlineinherited

iterator selection. Returns iterator to an element after the last coefficient of the i-th component of the homogeneous part of degree 'd'

◆ end() [6/8]

template<typename MatrixT , __size_type DEGREE>

CnContainer< Object, M, N, D >::iterator capd::diffAlgebra::CnContainer< Object, M, N, D >::end

inline

iterator selection. Returns iterator to an element after the last coefficient of the i-th component of the homogeneous part of degree 'd'

◆ end() [7/8]

CnContainer< MatrixT::ScalarType , M, N, D >::const_iterator capd::diffAlgebra::CnContainer< MatrixT::ScalarType , M, N, D >::end	(	size_type	i,
		size_type	d
	)		const

inlineinherited

iterator selection. Returns iterator to an element after the last coefficient of the i-th component of the homogeneous part of degree 'd'

◆ end() [8/8]

template<typename MatrixT , __size_type DEGREE>

CnContainer< Object, M, N, D >::const_iterator capd::diffAlgebra::CnContainer< Object, M, N, D >::end

inline

iterator selection. Returns iterator to an element after the last coefficient of the i-th component of the homogeneous part of degree 'd'

◆ first()

CnContainer< MatrixT::ScalarType , M, N, D >::Multipointer capd::diffAlgebra::CnContainer< MatrixT::ScalarType , M, N, D >::first ( size_type degree ) const

inlineinherited

Selection of elements by multipointers.

Resizes CnContainer.

Iterators do not give information about the index of partial derivative. Access by multipointer is significantly slower than by iterator because the multipointer must be recomputed to the index in array.

Typical usage of multipointers is as follows: Multipointer mp = cnContainer.first(d); int i = ...; // fix i-th component do{ // do something cout << mp << "\t" << cnContainer(i,mp) << endl; }while(cnContainer.hasNext(mp)); Iterators and multipointers read coefficients of a homogeneous polynomial in the same order.

Parameters

newRank	new maximal order
newDimension	new dimension
copyData	flag that controls if data is copied

◆ hasNext() [1/2]

bool capd::diffAlgebra::CnContainer< MatrixT::ScalarType , M, N, D >::hasNext ( Multiindex & mp ) const

inherited

see description of the method first.

◆ hasNext() [2/2]

bool capd::diffAlgebra::CnContainer< MatrixT::ScalarType , M, N, D >::hasNext ( Multipointer & mp ) const

inherited

see description of the method first.

◆ imageDimension()

CnContainer< MatrixT::ScalarType , M, N, D >::size_type capd::diffAlgebra::CnContainer< MatrixT::ScalarType , M, N, D >::imageDimension

inlineinherited

returns number of polynomials (dimension of counterdomain)

◆ load()

template<typename MatrixT , __size_type DEGREE>

std::istream & capd::diffAlgebra::Jet< MatrixT, DEGREE >::load ( std::istream & in )

loads cn data from given stream (expected format is exactly this provided by save)

◆ operator HessianType()

template<typename MatrixT , __size_type DEGREE>

capd::diffAlgebra::Jet< MatrixT, DEGREE >::operator HessianType ( ) const

this operator returns second order derivatives as a hessian object

◆ operator ImageVectorType()

template<typename MatrixT , __size_type DEGREE>

capd::diffAlgebra::Jet< MatrixT, DEGREE >::operator ImageVectorType ( ) const

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

◆ operator MatrixType()

template<typename MatrixT , __size_type DEGREE>

capd::diffAlgebra::Jet< MatrixT, DEGREE >::operator MatrixType ( ) const

this operator returns first order derivatives as a matrix

◆ operator()() [1/18]

template<typename MatrixT , __size_type DEGREE>

Jet< MatrixT, DEGREE >::ImageVectorType capd::diffAlgebra::Jet< MatrixT, DEGREE >::operator() ( const VectorType & v ) const

◆ operator()() [2/18]

template<typename MatrixT , __size_type DEGREE>

Jet< MatrixT, DEGREE >::ImageVectorType capd::diffAlgebra::Jet< MatrixT, DEGREE >::operator()	(	const VectorType &	v,
		MatrixType &	matrix
	)		const

◆ operator()() [3/18]

MatrixT::ScalarType & capd::diffAlgebra::CnContainer< MatrixT::ScalarType , M, N, D >::operator() ( size_type i )

inlineinherited

returns constant term of the i-th component of polynomial

◆ operator()() [4/18]

const MatrixT::ScalarType & capd::diffAlgebra::CnContainer< MatrixT::ScalarType , M, N, D >::operator() ( size_type i ) const

inlineinherited

returns constant term of the i-th component of polynomial

◆ operator()() [5/18]

const MatrixT::ScalarType & capd::diffAlgebra::CnContainer< MatrixT::ScalarType , M, N, D >::operator()	(	size_type	i,
		const Multiindex &	mi
	)		const

inlineinherited

selection of coefficient of i-th component that correspond to multiindex mi

◆ operator()() [6/18]

MatrixT::ScalarType & capd::diffAlgebra::CnContainer< MatrixT::ScalarType , M, N, D >::operator()	(	size_type	i,
		const Multiindex &	mi
	)

inlineinherited

selection of coefficient of i-th component that correspond to multiindex mi

◆ operator()() [7/18]

const MatrixT::ScalarType & capd::diffAlgebra::CnContainer< MatrixT::ScalarType , M, N, D >::operator()	(	size_type	i,
		const Multipointer &	mp
	)		const

inlineinherited

selection of coefficient of i-th component that correspond to multipointer mp

◆ operator()() [8/18]

MatrixT::ScalarType & capd::diffAlgebra::CnContainer< MatrixT::ScalarType , M, N, D >::operator()	(	size_type	i,
		const Multipointer &	mp,
		const Multipointer &	sub
	)

inlineinherited

◆ operator()() [9/18]

const MatrixT::ScalarType & capd::diffAlgebra::CnContainer< MatrixT::ScalarType , M, N, D >::operator()	(	size_type	i,
		const Multipointer &	mp,
		const Multipointer &	sub
	)		const

inlineinherited

◆ operator()() [10/18]

MatrixT::ScalarType & capd::diffAlgebra::CnContainer< MatrixT::ScalarType , M, N, D >::operator()	(	size_type	i,
		const Multipointer &	mp
	)

inlineinherited

selection of coefficient of i-th component that correspond to multipointer mp

◆ operator()() [11/18]

MatrixT::ScalarType & capd::diffAlgebra::CnContainer< MatrixT::ScalarType , M, N, D >::operator()	(	size_type	i,
		size_type	j
	)

inlineinherited

returns reference to a coefficient in linear part, i.e. $ df_i/dx_j $

◆ operator()() [12/18]

const MatrixT::ScalarType & capd::diffAlgebra::CnContainer< MatrixT::ScalarType , M, N, D >::operator()	(	size_type	i,
		size_type	j
	)		const

inlineinherited

returns read only reference to a coefficient in linear part, i.e. $ df_i/dx_j $

◆ operator()() [13/18]

MatrixT::ScalarType & capd::diffAlgebra::CnContainer< MatrixT::ScalarType , M, N, D >::operator()	(	size_type	i,
		size_type	j,
		size_type	c
	)

inlineinherited

returns reference to a coefficient in second order part, i.e. $ d^2f_i/dx_jdx_c $

◆ operator()() [14/18]

const MatrixT::ScalarType & capd::diffAlgebra::CnContainer< MatrixT::ScalarType , M, N, D >::operator()	(	size_type	i,
		size_type	j,
		size_type	c
	)		const

inlineinherited

returns read only reference to a coefficient in second order part, i.e. $ d^2f_i/dx_jdx_c $

◆ operator()() [15/18]

MatrixT::ScalarType & capd::diffAlgebra::CnContainer< MatrixT::ScalarType , M, N, D >::operator()	(	size_type	i,
		size_type	j,
		size_type	c,
		size_type	k
	)

inlineinherited

returns reference to a coefficient in third order part, i.e. $ d^3f_i/dx_jdx_cdx_k $

◆ operator()() [16/18]

const MatrixT::ScalarType & capd::diffAlgebra::CnContainer< MatrixT::ScalarType , M, N, D >::operator()	(	size_type	i,
		size_type	j,
		size_type	c,
		size_type	k
	)		const

inlineinherited

returns read only reference to a coefficient in third order part, i.e. $ d^3f_i/dx_jdx_cdx_k $

◆ operator()() [17/18]

MatrixT::ScalarType & capd::vectalg::Container< MatrixT::ScalarType , capacity >::operator() ( size_type i )

inlineinherited

◆ operator()() [18/18]

const MatrixT::ScalarType & capd::vectalg::Container< MatrixT::ScalarType , capacity >::operator() ( size_type i ) const

inlineinherited

◆ operator=() [1/2]

template<typename MatrixT , __size_type DEGREE>

Jet& capd::diffAlgebra::Jet< MatrixT, DEGREE >::operator= ( const Jet< MatrixT, DEGREE > & )

default

◆ operator=() [2/2]

template<typename MatrixT , __size_type DEGREE>

Jet& capd::diffAlgebra::Jet< MatrixT, DEGREE >::operator= ( Jet< MatrixT, DEGREE > && v )

inline

◆ operator[]() [1/2]

MatrixT::ScalarType & capd::vectalg::Container< MatrixT::ScalarType , capacity >::operator[] ( size_type i )

inlineinherited

◆ operator[]() [2/2]

const MatrixT::ScalarType & capd::vectalg::Container< MatrixT::ScalarType , capacity >::operator[] ( size_type i ) const

inlineinherited

◆ rbegin() [1/2]

Container< MatrixT::ScalarType , capacity >::const_reverse_iterator capd::vectalg::Container< MatrixT::ScalarType , capacity >::rbegin

inlineinherited

◆ rbegin() [2/2]

const_reverse_iterator capd::vectalg::Container< MatrixT::ScalarType , capacity >::rbegin

inherited

◆ rend() [1/2]

Container< MatrixT::ScalarType , capacity >::const_reverse_iterator capd::vectalg::Container< MatrixT::ScalarType , capacity >::rend

inlineinherited

◆ rend() [2/2]

const_reverse_iterator capd::vectalg::Container< MatrixT::ScalarType , capacity >::rend

inherited

◆ resize()

void capd::vectalg::Container< MatrixT::ScalarType , capacity >::resize ( size_type newCapacity )

inherited

◆ save()

template<typename MatrixT , __size_type DEGREE>

std::ostream & capd::diffAlgebra::Jet< MatrixT, DEGREE >::save	(	std::ostream &	out,
		std::streamsize	prec = `capd::TypeTraits<ScalarType>::numberOfDigits() + 1`
	)		const

saves data to stream out with given precision (the default precision allows to load data without lose of precision)

saves data to stream out with given precision

the default precision allows to load data without lose of precision,
if given precision prec is less or equal to 0 the current precision is used

Format:

degree (order of the highest derivative)
dimension
imageDimension
 
coefficient in the order as they are stored in the memory
each line contains one coefficient

◆ setMatrix()

template<typename MatrixT , __size_type DEGREE>

void capd::diffAlgebra::Jet< MatrixT, DEGREE >::setMatrix ( const MatrixType & m )

◆ size()

static size_type capd::vectalg::Container< MatrixT::ScalarType , capacity >::size

inlinestaticinherited

◆ toString()

template<typename MatrixT , __size_type DEGREE>

std::string capd::diffAlgebra::Jet< MatrixT, DEGREE >::toString	(	int	firstFun = `0`,
		int	lastFun = `-1`,
		int	firstVariable = `0`,
		int	minDegree = `0`,
		int	maxDegree = `-1`,
		int	precision = `-1`
	)		const

returns string containing derivatives information

Return derivative information in human readable form.

You can specify which derivatives you want, It will return all derivatives $ df_i/dx^a $ where i = firstFun,..., lastFun |a| = minDegree, ..., maxDegree

Parameters

firstFun	index of the first function
lastFun	index of the last function
minDegree	minimal degree displayed
maxDegree	maximal degree displayed

Returns: string containing derivatives information

Friends And Related Function Documentation

◆ operator<<

template<typename MatrixT , __size_type DEGREE>

std::ostream& operator<<	(	std::ostream &	out,
		const Jet< MatrixT, DEGREE > &	jet
	)

friend

◆ operator>>

template<typename MatrixT , __size_type DEGREE>

std::istream& operator>>	(	std::istream &	in,
		Jet< MatrixT, DEGREE > &	jet
	)

friend

Member Data Documentation

◆ const_iterator

template<typename MatrixT , __size_type DEGREE>

const typedef ScalarType* capd::diffAlgebra::Jet< MatrixT, DEGREE >::const_iterator

◆ data

ScalarType capd::vectalg::Container< MatrixT::ScalarType , capacity >::data[capacity]

protectedinherited

◆ m_D

size_type capd::diffAlgebra::CnContainer< MatrixT::ScalarType , M, N, D >::m_D

protectedinherited

total degree of polynomial

◆ m_M

template<typename MatrixT , __size_type DEGREE>

size_type capd::diffAlgebra::CnContainer< Object, M, N, D >::m_M

number of components

◆ m_N

template<typename MatrixT , __size_type DEGREE>

size_type capd::diffAlgebra::CnContainer< Object, M, N, D >::m_N

number of variables

Classes

Public Types

Public Member Functions

Static Public Member Functions

Public Attributes

Protected Attributes

Friends

Detailed Description

template<typename MatrixT, __size_type DEGREE> class capd::diffAlgebra::Jet< MatrixT, DEGREE >

Member Typedef Documentation

◆ BaseContainer

◆ CnContainerType

◆ const_reverse_iterator

◆ ContainerType

◆ difference_type

◆ HessianType

◆ ImageVectorType

◆ iterator

◆ MatrixType

◆ Multiindex

◆ Multipointer

◆ ObjectType

◆ RefVectorType

◆ reverse_iterator

◆ ScalarType

◆ size_type

◆ VectorType

Constructor & Destructor Documentation

◆ Jet() [1/2]

◆ Jet() [2/2]

Member Function Documentation

◆ begin() [1/8]

◆ begin() [2/8]

◆ begin() [3/8]

◆ begin() [4/8]

◆ begin() [5/8]

◆ begin() [6/8]

◆ begin() [7/8]

◆ begin() [8/8]

◆ clear()

◆ degree()

◆ derivative()

◆ dimension()

◆ end() [1/8]

◆ end() [2/8]

◆ end() [3/8]

◆ end() [4/8]

◆ end() [5/8]

◆ end() [6/8]

◆ end() [7/8]

◆ end() [8/8]

◆ first()

◆ hasNext() [1/2]

◆ hasNext() [2/2]

◆ imageDimension()

◆ load()

◆ operator HessianType()

◆ operator ImageVectorType()

◆ operator MatrixType()

◆ operator()() [1/18]

◆ operator()() [2/18]

◆ operator()() [3/18]

◆ operator()() [4/18]

◆ operator()() [5/18]

◆ operator()() [6/18]

◆ operator()() [7/18]

◆ operator()() [8/18]

◆ operator()() [9/18]

◆ operator()() [10/18]

◆ operator()() [11/18]

◆ operator()() [12/18]

◆ operator()() [13/18]

◆ operator()() [14/18]

◆ operator()() [15/18]

◆ operator()() [16/18]

◆ operator()() [17/18]

◆ operator()() [18/18]

◆ operator=() [1/2]

◆ operator=() [2/2]

◆ operator[]() [1/2]

template<typename MatrixT, __size_type DEGREE>
class capd::diffAlgebra::Jet< MatrixT, DEGREE >