AlgebraicKernel_d_2::SquareFreeFactorize_2 Class Reference

#include <Concepts/AlgebraicKernel_d_2--SquareFreeFactorize_2.h>

Definition

Computes a square free factorization of an AlgebraicKernel_d_2::Polynomial_2.

A polynomial \( p\) is factored into square free and pairwise coprime non-constant factors \( q_i\) with multiplicities \( m_i\) and a constant factor \( c\), such that \( p = c \cdot q_1^{m_1} \cdot ... \cdot q_n^{m_n}\).

The factor multiplicity pairs \( <q_i,m_i>\) are written to the given output iterator. The constant factor \( c\) is not computed.

Refines:

Assignable

CopyConstructible

See also

AlgebraicKernel_d_2::IsSquareFree_2

AlgebraicKernel_d_2::MakeSquareFree_2

Operations
template<class OutputIterator >
OutputIterator	operator() (const AlgebraicKernel_d_2::Polynomial_2 &p, OutputIterator res)
	Copies in the output iterator the factors of a square free factorization of \( p\), with their multiplicity, as objects of type std::pair<AlgebraicKernel_d_2::Polynomial_2, AlgebraicKernel_d_2::Multiplicity_type>. More...

Member Function Documentation

operator()()

template<class OutputIterator >

OutputIterator AlgebraicKernel_d_2::SquareFreeFactorize_2::operator()	(	const AlgebraicKernel_d_2::Polynomial_2 &	p,
		OutputIterator	res
	)

Copies in the output iterator the factors of a square free factorization of \( p\), with their multiplicity, as objects of type std::pair<AlgebraicKernel_d_2::Polynomial_2, AlgebraicKernel_d_2::Multiplicity_type>.