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 \( x_{i}\). More...

Member Function Documentation

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

\( 0 \leq i < d\).