CGAL 5.1 - Polynomial
PolynomialTraits_d::Invert Class Reference

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

Definition

This AdaptableUnaryFunction inverts one variable in a given PolynomialTraits_d::Polynomial_d, that is, for a given polynomial \( p\) it computes \( x^{degree(p)}p(1/x)\).

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.

This functor is provided for efficiency reasons, since this operation just inverts the order of the coefficients with respect to the specified variable.

Refines:

AdaptableUnaryFunction

CopyConstructible

DefaultConstructible

See also
Polynomial_d
PolynomialTraits_d

Types

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

Operations

result_type operator() (argument_type p)
 Returns \( x^{degree(p)}p(1/x)\), where x refers to the outermost variable \( x_{d-1}\). More...
 
result_type operator() (argument_type p, int i)
 Return \( x^{degree(p,i)}p(1/x)\), where x refers to the variable \( x_{i}\). More...
 

Member Typedef Documentation

◆ argument_type

typedef PolynomialTraits_d::Polynomial_d PolynomialTraits_d::Invert::argument_type

◆ result_type

typedef PolynomialTraits_d::Polynomial_d PolynomialTraits_d::Invert::result_type

Member Function Documentation

◆ operator()() [1/2]

result_type PolynomialTraits_d::Invert::operator() ( argument_type  p)

Returns \( x^{degree(p)}p(1/x)\), where x refers to the outermost variable \( x_{d-1}\).

◆ operator()() [2/2]

result_type PolynomialTraits_d::Invert::operator() ( argument_type  p,
int  i 
)

Return \( x^{degree(p,i)}p(1/x)\), where x refers to the variable \( x_{i}\).

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