This AdaptableUnaryFunction computes the degree of a PolynomialTraits_d::Polynomial_d with respect to a certain variable.

The degree of $p$ with respect to a certain variable $x_i$, is the highest power $e$ of $x_i$ such that the coefficient of $x_i^{e}$ in $p$ is not zero.

For instance the degree of $p = x_0^2x_1^3+x_1^4$ with respect to $x_1$ is $4$.

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

Refines:

AdaptableUnaryFunction

CopyConstructible

DefaultConstructible

See Also

Polynomial_d

PolynomialTraits_d

PolynomialTraits_d::TotalDegree

PolynomialTraits_d::DegreeVector