PolynomialTraits_d::TotalDegree

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PolynomialTraits_d::TotalDegree

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 = x₀²x₁³+x₁⁴ is 5.

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

Refines

AdaptableUnaryFunction
CopyConstructible
DefaultConstructible

Types

typedef int	result_type;
typedef PolynomialTraits_d::Polynomial_d
	argument_type;

Operations

result_type

fo ( argument_type p )

Computes the total degree of p.