The class is used to store coefficients of a multivariate polynomial of degree D $ f:R^N->R^M $ Coefficients themselves can be polynomials as well. More...

#include <capd/diffAlgebra/CnContainer.h>

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

typedef Object	ObjectType

typedef Object *	iterator

typedef capd::vectalg::Multipointer	Multipointer

typedef capd::vectalg::Multiindex	Multiindex

typedef __size_type	size_type

typedef __difference_type	difference_type

typedef Object	ScalarType

typedef std::reverse_iterator< iterator >	reverse_iterator

typedef std::reverse_iterator< const_iterator >	const_reverse_iterator

Public Member Functions
	CnContainer (size_type m, size_type n, size_type d, const Object &p)
	creates a container for polynomial of n variables, m components and degree d. Each element will be set to p. More...

	CnContainer (size_type m, size_type n, size_type d)
	creates a container for polynomial of n variables, m components and degree d. Default constructor will be used to initialize each element in the container. More...

CnContainer &	operator= (const Object &p)
	assigns object p to each element of the container More...

	CnContainer (const CnContainer &v)=default

	CnContainer (CnContainer &&v)

CnContainer &	operator= (const CnContainer &v)=default

CnContainer &	operator= (CnContainer &&v)

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

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

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

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

Object &	operator() (size_type i, const Multipointer &, const Multipointer &)

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

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

const Object &	operator() (size_type i, const Multipointer &, const Multipointer &) const

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

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

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

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

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

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

const Object &	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 Object &	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...

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

iterator	end (size_type i)
	iterator selection. Returns iterator to an element after the last element 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...

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

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...

iterator	begin ()

iterator	end ()

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

ScalarType &	operator() (size_type)

const ScalarType &	operator() (size_type) const

void	clear ()

Static Public Member Functions
static size_type	size ()

Public Attributes
const typedef Object *	const_iterator

Protected Attributes
size_type	m_N
	number of variables More...

size_type	m_M
	number of components More...

size_type	m_D
	total degree of polynomial More...

ScalarType	data [capacity]

Friends
void	swap (CnContainer &A, CnContainer &B)

Detailed Description

template<typename Object, __size_type M, __size_type N, __size_type D>
class capd::diffAlgebra::CnContainer< Object, M, N, D >

The class is used to store coefficients of a multivariate polynomial of degree D $ f:R^N->R^M $ Coefficients themselves can be polynomials as well.

Usually Object = Scalar or an univariate polynomial

The total number of coefficients is equal to $M {N+D\choose D}$

Member Typedef Documentation

◆ BaseContainer

template<typename Object , __size_type M, __size_type N, __size_type D>

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

◆ const_reverse_iterator

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

inherited

◆ difference_type

template<typename Object , __size_type M, __size_type N, __size_type D>

typedef __difference_type capd::diffAlgebra::CnContainer< Object, M, N, D >::difference_type

◆ iterator

template<typename Object , __size_type M, __size_type N, __size_type D>

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

◆ Multiindex

template<typename Object , __size_type M, __size_type N, __size_type D>

typedef capd::vectalg::Multiindex capd::diffAlgebra::CnContainer< Object, M, N, D >::Multiindex

◆ Multipointer

template<typename Object , __size_type M, __size_type N, __size_type D>

typedef capd::vectalg::Multipointer capd::diffAlgebra::CnContainer< Object, M, N, D >::Multipointer

◆ ObjectType

template<typename Object , __size_type M, __size_type N, __size_type D>

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

◆ reverse_iterator

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

inherited

◆ ScalarType

typedef Object capd::vectalg::Container< Object , capacity >::ScalarType

inherited

◆ size_type

template<typename Object , __size_type M, __size_type N, __size_type D>

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

Constructor & Destructor Documentation

◆ CnContainer() [1/4]

template<typename Object , __size_type M, __size_type N, __size_type D>

capd::diffAlgebra::CnContainer< Object, M, N, D >::CnContainer	(	size_type	m,
		size_type	n,
		size_type	d,
		const Object &	p
	)

inline

creates a container for polynomial of n variables, m components and degree d. Each element will be set to p.

◆ CnContainer() [2/4]

template<typename Object , __size_type M, __size_type N, __size_type D>

capd::diffAlgebra::CnContainer< Object, M, N, D >::CnContainer	(	size_type	m,
		size_type	n,
		size_type	d
	)

inline

creates a container for polynomial of n variables, m components and degree d. Default constructor will be used to initialize each element in the container.

◆ CnContainer() [3/4]

template<typename Object , __size_type M, __size_type N, __size_type D>

capd::diffAlgebra::CnContainer< Object, M, N, D >::CnContainer ( const CnContainer< Object, M, N, D > & v )

default

◆ CnContainer() [4/4]

template<typename Object , __size_type M, __size_type N, __size_type D>

capd::diffAlgebra::CnContainer< Object, M, N, D >::CnContainer ( CnContainer< Object, M, N, D > && v )

inline

Member Function Documentation

◆ begin() [1/5]

Container< Object , capacity >::const_iterator capd::vectalg::Container< Object , capacity >::begin

inlineinherited

◆ begin() [2/5]

template<typename Object , __size_type M, __size_type N, __size_type D>

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

inline

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

◆ begin() [3/5]

template<typename Object , __size_type M, __size_type N, __size_type D>

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

inline

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

◆ begin() [4/5]

template<typename Object , __size_type M, __size_type N, __size_type D>

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

inline

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

◆ begin() [5/5]

template<typename Object , __size_type M, __size_type N, __size_type D>

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

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< Object , capacity >::clear

inherited

◆ degree()

template<typename Object , __size_type M, __size_type N, __size_type D>

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

inline

returns degree of the polynomial

◆ dimension()

template<typename Object , __size_type M, __size_type N, __size_type D>

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

inline

returns number of variables of the polynomial

◆ end() [1/5]

Container< Object , capacity >::const_iterator capd::vectalg::Container< Object , capacity >::end

inlineinherited

◆ end() [2/5]

template<typename Object , __size_type M, __size_type N, __size_type D>

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

inline

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

◆ end() [3/5]

template<typename Object , __size_type M, __size_type N, __size_type D>

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

inline

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

◆ end() [4/5]

template<typename Object , __size_type M, __size_type N, __size_type D>

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

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() [5/5]

template<typename Object , __size_type M, __size_type N, __size_type D>

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

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()

template<typename Object , __size_type M, __size_type N, __size_type D>

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

inline

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]

template<typename Object , __size_type M, __size_type N, __size_type D>

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

see description of the method first.

◆ hasNext() [2/2]

template<typename Object , __size_type M, __size_type N, __size_type D>

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

see description of the method first.

◆ imageDimension()

template<typename Object , __size_type M, __size_type N, __size_type D>

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

inline

returns number of polynomials (dimension of counterdomain)

◆ operator()() [1/16]

template<typename Object , __size_type M, __size_type N, __size_type D>

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

inline

returns constant term of the i-th component of polynomial

◆ operator()() [2/16]

template<typename Object , __size_type M, __size_type N, __size_type D>

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

inline

returns constant term of the i-th component of polynomial

◆ operator()() [3/16]

template<typename Object , __size_type M, __size_type N, __size_type D>

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

inline

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

◆ operator()() [4/16]

template<typename Object , __size_type M, __size_type N, __size_type D>

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

inline

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

◆ operator()() [5/16]

template<typename Object , __size_type M, __size_type N, __size_type D>

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

inline

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

◆ operator()() [6/16]

template<typename Object , __size_type M, __size_type N, __size_type D>

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

inline

◆ operator()() [7/16]

template<typename Object , __size_type M, __size_type N, __size_type D>

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

inline

◆ operator()() [8/16]

template<typename Object , __size_type M, __size_type N, __size_type D>

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

inline

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

◆ operator()() [9/16]

template<typename Object , __size_type M, __size_type N, __size_type D>

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

inline

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

◆ operator()() [10/16]

template<typename Object , __size_type M, __size_type N, __size_type D>

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

inline

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

◆ operator()() [11/16]

template<typename Object , __size_type M, __size_type N, __size_type D>

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

inline

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

◆ operator()() [12/16]

template<typename Object , __size_type M, __size_type N, __size_type D>

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

inline

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

◆ operator()() [13/16]

template<typename Object , __size_type M, __size_type N, __size_type D>

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

inline

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

◆ operator()() [14/16]

template<typename Object , __size_type M, __size_type N, __size_type D>

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

inline

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

◆ operator()() [15/16]

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

inlineinherited

◆ operator()() [16/16]

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

inlineinherited

◆ operator=() [1/3]

template<typename Object , __size_type M, __size_type N, __size_type D>

CnContainer& capd::diffAlgebra::CnContainer< Object, M, N, D >::operator= ( CnContainer< Object, M, N, D > && v )

inline

◆ operator=() [2/3]

template<typename Object , __size_type M, __size_type N, __size_type D>

CnContainer& capd::diffAlgebra::CnContainer< Object, M, N, D >::operator= ( const CnContainer< Object, M, N, D > & v )

default

◆ operator=() [3/3]

template<typename Object , __size_type M, __size_type N, __size_type D>

CnContainer< Object, M, N, D > & capd::diffAlgebra::CnContainer< Object, M, N, D >::operator= ( const Object & p )

assigns object p to each element of the container

◆ operator[]() [1/2]

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

inlineinherited

◆ operator[]() [2/2]

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

inlineinherited

◆ rbegin() [1/2]

Container< Object , capacity >::const_reverse_iterator capd::vectalg::Container< Object , capacity >::rbegin

inlineinherited

◆ rbegin() [2/2]

const_reverse_iterator capd::vectalg::Container< Object , capacity >::rbegin

inherited

◆ rend() [1/2]

Container< Object , capacity >::const_reverse_iterator capd::vectalg::Container< Object , capacity >::rend

inlineinherited

◆ rend() [2/2]

const_reverse_iterator capd::vectalg::Container< Object , capacity >::rend

inherited

◆ resize()

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

inherited

◆ size()

static size_type capd::vectalg::Container< Object , capacity >::size

inlinestaticinherited

Friends And Related Function Documentation

◆ swap

template<typename Object , __size_type M, __size_type N, __size_type D>

void swap	(	CnContainer< Object, M, N, D > &	A,
		CnContainer< Object, M, N, D > &	B
	)

friend

< swaps the content of two containers

Member Data Documentation

◆ const_iterator

template<typename Object , __size_type M, __size_type N, __size_type D>

const typedef Object* capd::diffAlgebra::CnContainer< Object, M, N, D >::const_iterator

◆ data

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

protectedinherited

◆ m_D

template<typename Object , __size_type M, __size_type N, __size_type D>

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

protected

total degree of polynomial

◆ m_M

template<typename Object , __size_type M, __size_type N, __size_type D>

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

protected

number of components

◆ m_N

template<typename Object , __size_type M, __size_type N, __size_type D>

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

protected

number of variables

Public Types

Public Member Functions

Static Public Member Functions

Public Attributes

Protected Attributes

Friends

Detailed Description

template<typename Object, __size_type M, __size_type N, __size_type D> class capd::diffAlgebra::CnContainer< Object, M, N, D >

Member Typedef Documentation

◆ BaseContainer

◆ const_reverse_iterator

◆ difference_type

◆ iterator

◆ Multiindex

◆ Multipointer

◆ ObjectType

◆ reverse_iterator

◆ ScalarType

◆ size_type

Constructor & Destructor Documentation

◆ CnContainer() [1/4]

◆ CnContainer() [2/4]

◆ CnContainer() [3/4]

◆ CnContainer() [4/4]

Member Function Documentation

◆ begin() [1/5]

◆ begin() [2/5]

◆ begin() [3/5]

◆ begin() [4/5]

◆ begin() [5/5]

◆ clear()

◆ degree()

◆ dimension()

◆ end() [1/5]

◆ end() [2/5]

◆ end() [3/5]

◆ end() [4/5]

◆ end() [5/5]

◆ first()

◆ hasNext() [1/2]

◆ hasNext() [2/2]

◆ imageDimension()

◆ operator()() [1/16]

◆ operator()() [2/16]

◆ operator()() [3/16]

◆ operator()() [4/16]

◆ operator()() [5/16]

◆ operator()() [6/16]

◆ operator()() [7/16]

◆ operator()() [8/16]

◆ operator()() [9/16]

◆ operator()() [10/16]

◆ operator()() [11/16]

◆ operator()() [12/16]

◆ operator()() [13/16]

◆ operator()() [14/16]

◆ operator()() [15/16]

◆ operator()() [16/16]

◆ operator=() [1/3]

◆ operator=() [2/3]

◆ operator=() [3/3]

◆ operator[]() [1/2]

◆ operator[]() [2/2]

◆ rbegin() [1/2]

◆ rbegin() [2/2]

◆ rend() [1/2]

◆ rend() [2/2]

◆ resize()

◆ size()

Friends And Related Function Documentation

◆ swap

Member Data Documentation

◆ const_iterator

◆ data

◆ m_D

◆ m_M

◆ m_N

template<typename Object, __size_type M, __size_type N, __size_type D>
class capd::diffAlgebra::CnContainer< Object, M, N, D >