Reference Manual
Michael Hemmer
This package introduces a concept for univariate and multivariate polynomials in \( d\) variables. Though the concept is written for an arbitrary number of variables, the number of variables is considered as fixed for a particular model of this concept.
Classified Reference Pages
Concepts
- Polynomial_d
- PolynomialTraits_d
- PolynomialTraits_d::ConstructPolynomial
- PolynomialTraits_d::GetCoefficient
- PolynomialTraits_d::GetInnermostCoefficient
- PolynomialTraits_d::MonomialRepresentation
- PolynomialTraits_d::ConstructCoefficientConstIteratorRange
- PolynomialTraits_d::ConstructInnermostCoefficientConstIteratorRange
- PolynomialTraits_d::Permute
- PolynomialTraits_d::Swap
- PolynomialTraits_d::Move
- PolynomialTraits_d::Degree
- PolynomialTraits_d::TotalDegree
- PolynomialTraits_d::DegreeVector
- PolynomialTraits_d::LeadingCoefficient
- PolynomialTraits_d::InnermostLeadingCoefficient
- PolynomialTraits_d::Canonicalize
- PolynomialTraits_d::Differentiate
- PolynomialTraits_d::Evaluate
- PolynomialTraits_d::EvaluateHomogeneous
- PolynomialTraits_d::Substitute
- PolynomialTraits_d::SubstituteHomogeneous
- PolynomialTraits_d::IsZeroAt
- PolynomialTraits_d::IsZeroAtHomogeneous
- PolynomialTraits_d::SignAt
- PolynomialTraits_d::SignAtHomogeneous
- PolynomialTraits_d::Compare
- PolynomialTraits_d::UnivariateContent
- PolynomialTraits_d::MultivariateContent
- PolynomialTraits_d::SquareFreeFactorize
- PolynomialTraits_d::MakeSquareFree
- PolynomialTraits_d::IsSquareFree
- PolynomialTraits_d::PseudoDivision
- PolynomialTraits_d::PseudoDivisionQuotient
- PolynomialTraits_d::PseudoDivisionRemainder
- PolynomialTraits_d::GcdUpToConstantFactor
- PolynomialTraits_d::IntegralDivisionUpToConstantFactor
- PolynomialTraits_d::UnivariateContentUpToConstantFactor
- PolynomialTraits_d::SquareFreeFactorizeUpToConstantFactor
- PolynomialTraits_d::Shift
- PolynomialTraits_d::Negate
- PolynomialTraits_d::Invert
- PolynomialTraits_d::Translate
- PolynomialTraits_d::TranslateHomogeneous
- PolynomialTraits_d::Scale
- PolynomialTraits_d::ScaleHomogeneous
- PolynomialTraits_d::Resultant
- PolynomialTraits_d::PolynomialSubresultants
- PolynomialTraits_d::PolynomialSubresultantsWithCofactors
- PolynomialTraits_d::PrincipalSubresultants
- PolynomialTraits_d::SturmHabichtSequence
- PolynomialTraits_d::SturmHabichtSequenceWithCofactors
- PolynomialTraits_d::PrincipalSturmHabichtSequence
Classes
- CGAL::Polynomial<Coeff>
- CGAL::Polynomial_traits_d<Polynomial_d>
- CGAL::Exponent_vector
- CGAL::Polynomial_type_generator<T,d>
Functions
- CGAL::get_coefficient()
- CGAL::get_innermost_coefficient()
- CGAL::permute()
- CGAL::swap()
- CGAL::move()
- CGAL::degree()
- CGAL::total_degree()
- CGAL::degree_vector()
- CGAL::leading_coefficient()
- CGAL::innermost_leading_coefficient()
- CGAL::canonicalize()
- CGAL::differentiate()
- CGAL::evaluate()
- CGAL::evaluate_homogeneous()
- CGAL::substitute()
- CGAL::substitute_homogeneous()
- CGAL::is_zero_at()
- CGAL::is_zero_at_homogeneous()
- CGAL::sign_at()
- CGAL::sign_at_homogeneous()
- CGAL::compare()
- CGAL::univariate_content()
- CGAL::multivariate_content()
- CGAL::square_free_factorize()
- CGAL::make_square_free()
- CGAL::pseudo_division()
- CGAL::pseudo_division_quotient()
- CGAL::pseudo_division_remainder()
- CGAL::gcd_up_to_constant_factor()
- CGAL::integral_division_up_to_constant_factor()
- CGAL::univariate_content_up_to_constant_factor()
- CGAL::square_free_factorize_up_to_constant_factor()
- CGAL::shift()
- CGAL::negate()
- CGAL::invert()
- CGAL::translate()
- CGAL::translate_homogeneous()
- CGAL::scale()
- CGAL::scale_homogeneous()
- CGAL::resultant()
- CGAL::polynomial_subresultants()
- CGAL::polynomial_subresultants_with_cofactors()
- CGAL::principal_subresultants()
- CGAL::sturm_habicht_sequence()
- CGAL::sturm_habicht_sequence_with_cofactors()
- CGAL::principal_sturm_habicht_sequence()
- CGAL::number_of_real_roots()
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