PolynomialTraits_d::Invert Concept Reference

Definition

This AdaptableUnaryFunction inverts one variable in a given PolynomialTraits_d::Polynomial_d, that is, for a given polynomial \( p\) it computes \( x^{degree(p)}p(1/x)\).

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

This functor is provided for efficiency reasons, since this operation just inverts the order of the coefficients with respect to the specified variable.

Refines

AdaptableUnaryFunction

CopyConstructible

DefaultConstructible

See also

Polynomial_d

PolynomialTraits_d

Types
typedef PolynomialTraits_d::Polynomial_d	result_type
typedef PolynomialTraits_d::Polynomial_d	argument_type

Operations
result_type	operator() (argument_type p)
	Returns \( x^{degree(p)}p(1/x)\), where x refers to the outermost variable \( x_{d-1}\).
result_type	operator() (argument_type p, int i)
	Return \( x^{degree(p,i)}p(1/x)\), where x refers to the variable \( x_{i}\).

Member Function Documentation

operator()()

result_type PolynomialTraits_d::Invert::operator()	(	argument_type	p,
		int	i
	)

Return \( x^{degree(p,i)}p(1/x)\), where x refers to the variable \( x_{i}\).

Precondition

\( 0 \leq i < d\).