AlgebraicKernel_d_1::SquareFreeFactorize_1 Concept Reference

Definition

Computes a square free factorization of an AlgebraicKernel_d_1::Polynomial_1.

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_1::IsSquareFree_1

AlgebraicKernel_d_1::MakeSquareFree_1

Operations
template<class OutputIterator >
OutputIterator	operator() (AlgebraicKernel_d_1::Polynomial_1 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_1::Polynomial_1, AlgebraicKernel_d_1::Multiplicity_type>.