CGAL 5.6 - Polynomial
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PolynomialTraits_d::ScaleHomogeneous Concept Reference

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.
 
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 \( x_i\).
 

Member Function Documentation

◆ operator()()

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

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