CGAL 5.1 - Polynomial
PolynomialTraits_d::Translate Class Reference

#include <Concepts/PolynomialTraits_d--Translate.h>

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. More...
 
result_type operator() (first_argument_type p, second_argument_type c, int i)
 Same as first operator but for variable \( x_i\). More...
 

Member Typedef Documentation

◆ first_argument_type

typedef PolynomialTraits_d::Polynomial_d PolynomialTraits_d::Translate::first_argument_type

◆ result_type

typedef PolynomialTraits_d::Polynomial_d PolynomialTraits_d::Translate::result_type

◆ second_argument_type

typedef PolynomialTraits_d::Innermost_coefficient_type PolynomialTraits_d::Translate::second_argument_type

Member Function Documentation

◆ operator()() [1/2]

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

Returns \( p(x+c)\), with respect to the outermost variable.

◆ operator()() [2/2]

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
\( 0 \leq i < d\).