#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

typedef PolynomialTraits_d::Polynomial_d PolynomialTraits_d::ScaleHomogeneous::result_type

Member Function Documentation

◆ operator()() [1/2]

result_type PolynomialTraits_d::ScaleHomogeneous::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.

◆ operator()() [2/2]

result_type PolynomialTraits_d::ScaleHomogeneous::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 $x_i$ .

Precondition: $0 \leq i < d$ .