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. 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

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

Member Function Documentation

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.

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

\( 0 \leq i < d\).