StandardVariables< T, _deg > Struct Template Reference

The standard variables \(x_i\) in a polynomial, with \(|x_i|=1\) and no relations. More...

#include <Symmetric_Basis.hpp>

Inheritance diagram for StandardVariables< T, _deg >:

Collaboration diagram for StandardVariables< T, _deg >:

Public Types
typedef _deg	deg_t
	Degree typedef. More...

Public Member Functions
deg_t	degree () const
	Computes degree of monomial on standard variables \(x_i\). More...
StandardVariables	operator+ (const StandardVariables &b) const
	Multiplies monomials by adding their exponents. More...
size_t	operator() () const
	Hashes monomial. More...

Static Public Member Functions
static std::string	name (int i, int n)
	Returns the names of the standard variables \(x_i\). More...

Detailed Description

template<class T = int64_t, class _deg = int64_t>
struct symmp::StandardVariables< T, _deg >

The standard variables \(x_i\) in a polynomial, with \(|x_i|=1\) and no relations.

A monomial \(x_1^{a_1}\cdots x_n^{a_n}\) is stored as the vector \([a_1,...,a_n]\)

Template Parameters

T	The (integral) value type of the exponent vector.
_deg	The (integral) value type used in the degree function.

Member Typedef Documentation

deg_t

typedef _deg deg_t

Degree typedef.

Member Function Documentation

degree()

deg_t degree

(

)

const

Computes degree of monomial on standard variables \(x_i\).

Returns

Degree \(\sum_ia_i\) for monomial \(x_1^{a_1}\cdots x_n^{a_n}\) (*this= \([a_1,...,a_n]\))

name()

static std::string name ( int  i, int  n  )

static

Returns the names of the standard variables \(x_i\).

Returns

"x_i"

Parameters

i	The variable index
n	The number variables

operator+()

StandardVariables operator+

(

const StandardVariables< T, _deg > &

b

)

const

Multiplies monomials by adding their exponents.

Parameters

b	The exponent \([b_1,...,b_n]\) we add to *this= \([a_1,...,a_n]\)

Returns

Degree \([a_1+b_1,...,a_n+b_n]\)

operator()()

size_t operator()

(

)

const

Hashes monomial.

Returns

Hash of exponent vector (calls generic_hasher)

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

• Symmetric_Basis.hpp