CGAL 5.1 - Polynomial
PolynomialTraits_d::ScaleHomogeneous Class Reference

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

Definition

Given a numerator \( a\) and a denominator \( b\) this AdaptableFunctor scales a PolynomialTraits_d::Polynomial_d \( p\) with respect to one variable, that is, it computes \( b^{degree(p)}\cdot p(a/b\cdot x)\).

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

Refines:

AdaptableFunctor

CopyConstructible

DefaultConstructible

See also
Polynomial_d
PolynomialTraits_d

Types

typedef PolynomialTraits_d::Polynomial_d result_type
 

Operations

result_type operator() (PolynomialTraits_d::Polynomial_d p, PolynomialTraits_d::Innermost_coefficient_type a, PolynomialTraits_d::Innermost_coefficient_type b)
 Returns \( b^{degree}\cdot p(a/b\cdot x)\), with respect to the outermost variable. More...
 
result_type operator() (PolynomialTraits_d::Polynomial_d p, PolynomialTraits_d::Innermost_coefficient_type a, PolynomialTraits_d::Innermost_coefficient_type b, int i)
 Same as first operator but for variable \( x_i\). More...
 

Member Typedef Documentation

◆ result_type

Member Function Documentation

◆ operator()() [1/2]

Returns \( b^{degree}\cdot p(a/b\cdot x)\), with respect to the outermost variable.

◆ operator()() [2/2]

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

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