PolynomialTraits_d::SubstituteHomogeneous

Definition

This Functor substitutes all variables of a given multivariate PolynomialTraits_d::Polynomial_d p by the values given in the iterator range, where begin refers the the value for the innermost variable. In contrast to PolynomialTraits_d::Substitute the given polynomial p is interpreted as a homogeneous polynomial. Hence the iterator range is required to be of length PolynomialTraits_d::d+1.
For instance the polynomial p(x0,x1) = x02x13+x14 is interpreted as the homogeneous polynomial p(x0,x1,w) = x02x13+x14w1.

Refines

Assignable
CopyConstructible
DefaultConstructible

Types

Note that the result_type is the coercion type of the value type of the given iterator range and PolynomialTraits_d::Innermost_coefficient_type. In particular std::iterator_traits<Input_iterator>::value_type must be ExplicitInteroperable with PolynomialTraits_d::Innermost_coefficient_type. Hence, it can not be provided as a public type in advance.

Operations

template<class Input_iterator>
result_type fo ( PolynomialTraits_d::Polynomial_d p , Input_iterator begin , Input_iterator end )
Substitutes each variable of p by the values given in the iterator range, where p is interpreted as a homogeneous polynomial in all variables. The begin iterator refers to the innermost variable x0.
Precondition: (end-begin == PolynomialTraits_d::d)+1

See Also

Polynomial_d
PolynomialTraits_d
PolynomialTraits_d::Substitute
CoercionTraits