CGAL 5.6.1 - Polynomial
PolynomialTraits_d::Invert Concept Reference

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 \( x_{d-1}\).
 
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 Function Documentation

◆ operator()()

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
\( 0 \leq i < d\).