PolynomialTraits_d::MakeSquareFree Concept Reference

Definition

This AdaptableUnaryFunction computes the square-free part of a polynomial of type PolynomialTraits_d::Polynomial_d up to a constant factor.

A polynomial $p$ can be factored into square-free and pairwise coprime non-constant factors $g_i$ with multiplicities $m_i$ and a constant factor $a$, such that $p = a \cdot g_1^{m_1} \cdot ... \cdot g_n^{m_n}$, where all $g_i$ are canonicalized.

Given this decomposition, the square free part is defined as the product $g_1 \cdot ... \cdot g_n$, which is computed by this functor.

Refines

AdaptableUnaryFunction

CopyConstructible

DefaultConstructible

See also

Polynomial_d

PolynomialTraits_d

PolynomialTraits_d::Canonicalize

PolynomialTraits_d::SquareFreeFactorize

PolynomialTraits_d::IsSquareFree

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

Operations
result_type	operator() (argument_type p)
	Returns the square-free part of $p$.