PolynomialTraits_d::SignAtHomogeneous

Navigation: Up Table of Contents Package Overview Bibliography Index Title Acknowledging CGAL

PolynomialTraits_d::SignAtHomogeneous

Definition

This AdaptableFunctor returns the sign of a PolynomialTraits_d::Polynomial_d p 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.

This functor is well defined if PolynomialTraits_d::Innermost_coefficient_type is RealEmbeddable.

Refines

AdaptableFunctor
CopyConstructible
DefaultConstructible

Types

typedef CGAL::Sign

result_type;

Operations

template <class InputIterator>

result_type

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

Returns the sign of p at the given homogeneous point, 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.