CGAL 5.6.1 - Polynomial
PolynomialTraits_d::TranslateHomogeneous Concept Reference

Definition

Given numerator \( a\) and denominator \( b\) this AdaptableFunctor translates a PolynomialTraits_d::Polynomial_d \( p\) with respect to one variable by \( a/b\), that is, it computes \( b^{degree(p)}\cdot p(x+a/b)\).

Note that this functor operates on the polynomial in the univariate view, that is, the polynomial is considered as a univariate homogeneous polynomial in one specific variable.

Refines
AdaptableFunctor
CopyConstructible
DefaultConstructible
See also
Polynomial_d
PolynomialTraits_d

Types

typedef PolynomialTraits_d::Polynomial_d result_type
 

Operations

result_type operator() (PolynomialTraits_d::Polynomial_d p, PolynomialTraits_d::Innermost_coefficient_type a, PolynomialTraits_d::Innermost_coefficient_type b)
 Returns \( b^{degree(p)}\cdot p(x+a/b)\), with respect to the outermost variable.
 
result_type operator() (PolynomialTraits_d::Polynomial_d p, PolynomialTraits_d::Innermost_coefficient_type a, PolynomialTraits_d::Innermost_coefficient_type b, int i)
 Same as first operator but for variable \( x_i\). More...
 

Member Function Documentation

◆ operator()()

Same as first operator but for variable \( x_i\).

Precondition
\( 0 \leq i < d\).