CGAL 5.1 - Polynomial
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

◆ result_type

Member Function Documentation

◆ operator()()

result_type PolynomialTraits_d::TotalDegree::operator() ( argument_type  p)

Computes the total degree of \( p\).