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CGAL 5.1.1 - Polynomial
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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.
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... | |
| 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.
std::iterator_traits< OutputIterator >::value_type must be constructible from std::pair<PolynomialTraits_d::Polynomial_d,int>. 
1.8.13