CGAL 4.4 - Polynomial
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Note: This functor is optional!
Computes the polynomial subresultant of two polynomials p and q of degree n and m, respectively, as defined in the documentation of PolynomialTraits_d::PolynomialSubresultants
. Moreover, for Sresi(p,q), polynomials ui and vi with degui≤m−i−1 and degvi≤n−i−1 are computed such that Sresi(p,q)=uip+viq. ui and vi are called the cofactors of Sresi(p,q).
The result is written in three output ranges, each of length min{n,m}+1, starting with the 0-th subresultant and the corresponding cofactors.
Operations | |
template<typename OutputIterator1 , typename OutputIterator2 , typename OutputIterator3 > | |
OutputIterator1 | operator() (Polynomial_d p, Polynomial_d q, OutputIterator1 sres, OutputIterator2 co_p, OutputIterator3 co_q) |
computes the subresultants of p and q, and the cofactors, with respect to the outermost variable. More... | |
template<typename OutputIterator1 , typename OutputIterator2 , typename OutputIterator3 > | |
OutputIterator1 | operator() (Polynomial_d p, Polynomial_d q, OutputIterator1 sres, OutputIterator2 co_p, OutputIterator3 co_q, int i) |
computes the subresultants of p and q, and the cofactors, with respect to xi. More... | |
OutputIterator1 PolynomialTraits_d::PolynomialSubresultantsWithCofactors::operator() | ( | Polynomial_d | p, |
Polynomial_d | q, | ||
OutputIterator1 | sres, | ||
OutputIterator2 | co_p, | ||
OutputIterator3 | co_q | ||
) |
computes the subresultants of p and q, and the cofactors, with respect to the outermost variable.
Each element is of type PolynomialTraits_d::Polynomial_d
.
OutputIterator1 PolynomialTraits_d::PolynomialSubresultantsWithCofactors::operator() | ( | Polynomial_d | p, |
Polynomial_d | q, | ||
OutputIterator1 | sres, | ||
OutputIterator2 | co_p, | ||
OutputIterator3 | co_q, | ||
int | i | ||
) |
computes the subresultants of p and q, and the cofactors, with respect to xi.
Each element is of type PolynomialTraits_d::Polynomial_d
.