 CGAL 4.12.1 - Polynomial
PolynomialTraits_d::TotalDegree Concept Reference

## 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

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 $$p$$.