cubature< T > Struct Template Reference

Class for computing cubature formula. More...

#include <borderbasix/cubature.hpp>

Public Types
typedef Monom< double, dynamicexp<'x'> >	Monomial
typedef Dlex< Monomial >	Ordering
typedef MPoly< std::vector< Monomial >, Ordering >	Polynomial

Public Member Functions
	cubature ()
void	set_input (const Polynomial &p)
	Set the input sequence of moments. More...
void	obj_def (int i)
T &	obj_mat (int i, int j)
	Coefficient of the objective matrix. More...
void	run (int k, list< Polynomial > list2)
void	set_threshold (double eps)
void	set_sdpsolver (solversdp *slv)
	Set the SDP solver to be used. More...
void	set_degree (int deg)
	Set the minimal degree of the cubature. More...
void	set_numeq (int g)
	Set the number of equations defining the integration domain. More...
void	set_numneq (int h)
	Set the number of equations defining the integration domain. More...
void	set_verbose (int v)
T &	P_ini (int i, int j)

Public Attributes
std::vector< T >	weight
std::vector< T >	point
unsigned	dim
int	m_degree
int	m_numeq
int	m_numneq

Detailed Description

template<class T>
struct cubature< T >

Class for computing cubature formula.

Compute cubature formula by SDP relaxation.

Input: a sequence of moments represented by a polynomial.

Output: weights and points which weighted sum of the evaluation coincide with the input sequence of moments.

Member Typedef Documentation

template<class T >

typedef Monom<double, dynamicexp<'x'> > cubature< T >::Monomial

template<class T >

typedef Dlex<Monomial> cubature< T >::Ordering

template<class T >

typedef MPoly<std::vector<Monomial>, Ordering > cubature< T >::Polynomial

Constructor & Destructor Documentation

template<class T >

TMPL cubature< T >::cubature

(

)

Member Function Documentation

template<class T >

void cubature< T >::obj_def ( int  i )

inline

Type of the objective function. 1=identity, 0=random (default)

template<class T >

T& cubature< T >::obj_mat ( int  i, int  j  )

inline

Coefficient of the objective matrix.

template<class T >

T& cubature< T >::P_ini	(	int	i,
		int	j
	)

template<class T >

TMPL void cubature< T >::run	(	int	k,
		list< Polynomial >	list2
	)

template<class T >

void cubature< T >::set_degree ( int  deg )

inline

Set the minimal degree of the cubature.

template<class T >

TMPL void cubature< T >::set_input

(

const Polynomial &

p

)

Set the input sequence of moments.

template<class T >

void cubature< T >::set_numeq ( int  g )

inline

Set the number of equations defining the integration domain.

template<class T >

void cubature< T >::set_numneq ( int  h )

inline

Set the number of equations defining the integration domain.

template<class T >

void cubature< T >::set_sdpsolver ( solversdp *  slv )

inline

Set the SDP solver to be used.

template<class T >

void cubature< T >::set_threshold ( double  eps )

inline

template<class T >

void cubature< T >::set_verbose ( int  v )

inline

Member Data Documentation

template<class T >

unsigned cubature< T >::dim

template<class T >

int cubature< T >::m_degree

template<class T >

int cubature< T >::m_numeq

template<class T >

int cubature< T >::m_numneq

template<class T >

std::vector<T> cubature< T >::point

template<class T >

std::vector<T> cubature< T >::weight