PolynomialTraits_d::Degree

Definition

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 $$p = x₀²x₁³+x₁⁴ with respect to $$x₁ 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

Types

Operations

result_type	fo ( argument_type p )	Computes the degree of $$p with respect to the outermost variable $$xd-1.
result_type	fo ( argument_type p , int i )	Computes the degree of $$p with respect to variable $$xi. Precondition:  $$0 i < d

See Also

Polynomial_d
PolynomialTraits_d
PolynomialTraits_d::TotalDegree
PolynomialTraits_d::DegreeVector