PolynomialTraits_d::TotalDegree Class Reference

#include <Concepts/PolynomialTraits_d--TotalDegree.h>

Definition

This AdaptableUnaryFunction computes the total degree of a PolynomialTraits_d::Polynomial_d.

Given a (multivariate) monomial the sum of all appearing exponents is the total degree of this monomial. The total degree of a polynomial \( p\) is the maximum of the total degrees of all appearing (multivariate) monomials in \( p\).

For instance the total degree of \( p = x_0^2x_1^3+x_1^4\) is \( 5\).

The total degree of the zero polynomial is set to \( 0\). From the mathematical point of view this should be \( -\infty\), but this would imply an inconvenient return type.

Refines:

AdaptableUnaryFunction

CopyConstructible

DefaultConstructible

See also

Polynomial_d

PolynomialTraits_d

PolynomialTraits_d::Degree

PolynomialTraits_d::DegreeVector

Types
typedef int	result_type
typedef PolynomialTraits_d::Polynomial_d	argument_type

Operations
result_type	operator() (argument_type p)
	Computes the total degree of \( p\). More...

Member Typedef Documentation

argument_type

typedef PolynomialTraits_d::Polynomial_d PolynomialTraits_d::TotalDegree::argument_type

result_type

typedef int PolynomialTraits_d::TotalDegree::result_type

Member Function Documentation

operator()()

result_type PolynomialTraits_d::TotalDegree::operator()

(

argument_type

p

)

Computes the total degree of \( p\).