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\newcommand{\E}{\mathrm{E}} \newcommand{\A}{\mathrm{A}} \newcommand{\R}{\mathrm{R}} \newcommand{\N}{\mathrm{N}} \newcommand{\Q}{\mathrm{Q}} \newcommand{\Z}{\mathrm{Z}} \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }
CGAL 4.12.2 - Polynomial
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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.