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CGAL 5.1.5 - Polynomial
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For a given polynomial \( p\) this AdaptableUnaryFunction computes the unique representative of the set
\[ {\cal P} := \{ q\ |\ \lambda * q = p\ for\ some\ \lambda \in R \}, \]
where \( R\) is the base of the polynomial ring.
In case PolynomialTraits::Innermost_coefficient_type is a model of Field, the computed polynomial is the monic polynomial in \( \cal P\), that is, the innermost leading coefficient equals one.
In case PolynomialTraits::Innermost_coefficient_type is a model of UniqueFactorizationDomain, the computed polynomial is the one with a multivariate content of one.
For all other cases the notion of uniqueness is up to the concrete model.
Note that the computed polynomial has the same zero set as the given one.
Polynomial_d PolynomialTraits_d Types | |
| typedef PolynomialTraits_d::Polynomial_d | result_type |
| typedef PolynomialTraits_d::Polynomial_d | argument_type |
Operations | |
| result_type | operator() (first_argument_type p) |
| Returns the canonical representative of \( p\). | |
1.8.13