SymmetricBasis< x_poly_t, e_poly_t > Class Template Reference

Class for symmetric polynomials with no relations, allowing transformation from \(x_i\) variables to \(e_i\) variables and vice-versa. More...

#include <Symmetric_Basis.hpp>

Inheritance diagram for SymmetricBasis< x_poly_t, e_poly_t >:

Collaboration diagram for SymmetricBasis< x_poly_t, e_poly_t >:

Public Member Functions
	SymmetricBasis (int num)
	Constructor given number of variables. More...
Public Member Functions inherited from PolynomialBasis< SymmetricBasis< x_poly_t, e_poly_t >, x_poly_t, e_poly_t >
e_poly_t	operator() (x_poly_t a) const
	Transform a polynomial on the original variables to one on the generating basis. More...
x_poly_t	operator() (const e_poly_t &a) const
	Transform a polynomial on the generating basis into a polynomial on the original variables. More...
	PolynomialBasis (int num)
	Constructor given number of variables. More...
const std::vector< x_poly_t > &	generators () const
	Returns vector containing the generating basis. More...
const std::vector< typename new_poly_t::deg_t > &	dimensions () const
	Returns vector containing the dimensions of the generating basis (can be empty!) More...
const std::vector< std::string > &	names () const
	Returns vector containing the names of the generating basis (can be empty!) More...

Friends
class	PolynomialBasis< SymmetricBasis< x_poly_t, e_poly_t >, x_poly_t, e_poly_t >
	Befriending parent for CRTP. More...

Additional Inherited Members
Public Attributes inherited from PolynomialBasis< SymmetricBasis< x_poly_t, e_poly_t >, x_poly_t, e_poly_t >
const int	number_of_variables
	The number of (the original) variables of the polynomial ring. More...
Protected Attributes inherited from PolynomialBasis< SymmetricBasis< x_poly_t, e_poly_t >, x_poly_t, e_poly_t >
std::vector< x_poly_t >	_generators
	The generators of the polynomial basis, constructed in the inheriting class. More...
std::vector< typename new_poly_t::deg_t >	generator_dimensions
	The dimensions of the generators, optionally constructed in the inheriting class. More...
std::vector< std::string >	generator_names
	The names of the generators, optionally constructed in the inheriting class. More...

Detailed Description

template<class x_poly_t, class e_poly_t>
class symmp::SymmetricBasis< x_poly_t, e_poly_t >

Class for symmetric polynomials with no relations, allowing transformation from \(x_i\) variables to \(e_i\) variables and vice-versa.

Template Parameters

x_poly_t	Type of Polynomial on the Standard_Variables \(x_i\)
e_poly_t	The of Polynomial on the ElementarySymmetricVariables \(e_i\)

Constructor & Destructor Documentation

SymmetricBasis()

SymmetricBasis

(

int

num

)

Constructor given number of variables.

Parameters

num	The number of variables for our symmetric polynomials

Friends And Related Function Documentation

PolynomialBasis< SymmetricBasis< x_poly_t, e_poly_t >, x_poly_t, e_poly_t >

friend class PolynomialBasis< SymmetricBasis< x_poly_t, e_poly_t >, x_poly_t, e_poly_t >

friend

Befriending parent for CRTP.

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The documentation for this class was generated from the following file:

• Symmetric_Basis.hpp