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