PolynomialTraits_d::TranslateHomogeneous Class Reference

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

Definition

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

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 \( b^{degree(p)}\cdot p(x+a/b)\), 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 Typedef Documentation

result_type

typedef PolynomialTraits_d::Polynomial_d PolynomialTraits_d::TranslateHomogeneous::result_type

Member Function Documentation

operator()() [1/2]

result_type PolynomialTraits_d::TranslateHomogeneous::operator()	(	PolynomialTraits_d::Polynomial_d	p,
		PolynomialTraits_d::Innermost_coefficient_type	a,
		PolynomialTraits_d::Innermost_coefficient_type	b
	)

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

operator()() [2/2]

result_type PolynomialTraits_d::TranslateHomogeneous::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

\( 0 \leq i < d\).