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. More...

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>.