Loading [MathJax]/extensions/TeX/newcommand.js
\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 5.0 - Polynomial
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PolynomialTraits_d::UnivariateContentUpToConstantFactor Concept Reference

Definition

This AdaptableUnaryFunction computes the content of a PolynomialTraits_d::Polynomial_d with respect to the univariate (recursive) view on the polynomial up to a constant factor (utcf), that is, it computes the \mathrm{gcd\_utcf} of all coefficients with respect to one variable.

Remark: This is called UnivariateContentUpToConstantFactor for symmetric reasons with respect to PolynomialTraits_d::UnivariateContent and PolynomialTraits_d::MultivariateContent. However, a concept PolynomialTraits_d::MultivariateContentUpToConstantFactor does not exist since the result is trivial.

Refines:

AdaptableUnaryFunction

CopyConstructible

DefaultConstructible

See also
Polynomial_d
PolynomialTraits_d
PolynomialTraits_d::GcdUpToConstantFactor

Types

typedef PolynomialTraits_d::Coefficient_type result_type
 
typedef PolynomialTraits_d::Polynomial_d argument_type
 

Operations

result_type operator() (first_argument_type p)
 Computes the content up to a constant factor of p with respect to the outermost variable x_{d-1}.