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CGAL 6.0 - Polynomial
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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 \( p(x_0,x_1) = x_0^2x_1^3+x_1^4\) is interpreted as the homogeneous polynomial \( p(x_0,x_1,w) = x_0^2x_1^3+x_1^4w^1\).
This functor is well defined if PolynomialTraits_d::Innermost_coefficient_type is RealEmbeddable.
Polynomial_d PolynomialTraits_d Types | |
| typedef CGAL::Sign | result_type |
Operations | |
| template<class InputIterator > | |
| result_type | operator() (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. | |
| result_type PolynomialTraits_d::SignAtHomogeneous::operator() | ( | 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.
end-begin==PolynomialTraits_d::d+1) std::iterator_traits< InputIterator >::value_type is ExplicitInteroperable with PolynomialTraits_d::Innermost_coefficient_type.