\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 4.12.1 - Polynomial
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PolynomialTraits_d::Translate Concept Reference
Polynomial Reference » Concepts

Definition

This AdaptableBinaryFunction translates a PolynomialTraits_d::Polynomial_d with respect to one variable, that is, for a given polynomial \( p\) and constant \( c\) it computes \( p(x+c)\).

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

Refines:

AdaptableBinaryFunction

CopyConstructible

DefaultConstructible

See also
Polynomial_d
PolynomialTraits_d

Types

typedef PolynomialTraits_d::Polynomial_d result_type
 
typedef PolynomialTraits_d::Polynomial_d first_argument_type
 
typedef PolynomialTraits_d::Innermost_coefficient_type second_argument_type
 

Operations

result_type operator() (first_argument_type p, second_argument_type c)
 Returns \( p(x+c)\), with respect to the outermost variable.
 
result_type operator() (first_argument_type p, second_argument_type c, int i)
 Same as first operator but for variable \( x_i\). More...
 

Member Function Documentation

◆ operator()()

result_type PolynomialTraits_d::Translate::operator() ( first_argument_type  p,
second_argument_type  c,
int  i 
)

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

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