PolynomialTraits_d::SquareFreeFactorizeUpToConstantFactor Concept Reference

Definition

This AdaptableFunctor computes a square-free factorization up to a constant factor (utcf) of a PolynomialTraits_d::Polynomial_d.

A polynomial \( p\) is factored into square-free and pairwise coprime non-constant factors \( g_i\) with multiplicities \( m_i\), such that \( a \cdot p = g_1^{m_1} \cdot ... \cdot g_n^{m_n}\), where \( a\) is some constant factor.

The pairs \( (g_i,m_i)\) are written into the given output iterator.

The constant factor \( a\) is not computed.

This functor is well defined even though PolynomialTraits_d::Innermost_coefficient_type may not be a UniqueFactorizationDomain.

Refines

Assignable

CopyConstructible

DefaultConstructible

See also

Polynomial_d

PolynomialTraits_d

PolynomialTraits_d::SquareFreeFactorize

Operations
template<class OutputIterator >
OutputIterator	operator() (PolynomialTraits_d::Polynomial_d p, OutputIterator it)
	Computes the square-free factorization of \( p\) and returns the past-the-end iterator of the written range.

Member Function Documentation

operator()()

template<class OutputIterator >

OutputIterator PolynomialTraits_d::SquareFreeFactorizeUpToConstantFactor::operator()	(	PolynomialTraits_d::Polynomial_d	p,
		OutputIterator	it
	)

Computes the square-free factorization of \( p\) and returns the past-the-end iterator of the written range.

Precondition

std::iterator_traits< OutputIterator >::value_type must be constructible from std::pair<PolynomialTraits_d::Polynomial_d,int>.