PolynomialTraits_d::IsZeroAtHomogeneous

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PolynomialTraits_d::IsZeroAtHomogeneous

Definition

This AdaptableFunctor returns whether a PolynomialTraits_d::Polynomial_d p is zero at a given homogeneous point, which is given by an iterator range.

The polynomial is interpreted as a homogeneous polynomial in all variables.
For instance the polynomial p(x₀,x₁) = x₀²x₁³+x₁⁴ is interpreted as the homogeneous polynomial p(x₀,x₁,w) = x₀²x₁³+x₁⁴w¹.

Refines

AdaptableFunctor
CopyConstructible
DefaultConstructible

Types

typedef bool

result_type;

Operations

template <class InputIterator>

result_type

fo ( PolynomialTraits_d::Polynomial_d p , InputIterator begin , InputIterator end )

Computes whether p is zero at the homogeneous point given by the iterator range, where begin is referring to the innermost variable.

Precondition:

(end-begin==PolynomialTraits_d::d+1)

Precondition:

std::iterator_traits< InputIterator >::value_type is ExplicitInteroperable with PolynomialTraits_d::Innermost_coefficient_type.