Polynomial
Reference Manual

Michael Hemmer

7.11   Classified Reference Pages

Polynomial_d

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

7.12   Alphabetical List of Reference Pages

canonicalize
compare
degree_vector
degree
differentiate
evaluate_homogeneous
evaluate
Exponent_vector
gcd_up_to_constant_factor
get_coefficient
get_innermost_coefficient
innermost_leading_coefficient
integral_division_up_to_constant_factor
invert
is_square_free
is_zero_at_homogeneous
is_zero_at
leading_coefficient
make_square_free
move
multivariate_content
negate
number_of_real_roots
permute
Polynomial<Coeff>
PolynomialTraits_d::Canonicalize
PolynomialTraits_d::Compare
PolynomialTraits_d::ConstructCoefficientConstIteratorRange
PolynomialTraits_d::ConstructInnermostCoefficientConstIteratorRange
PolynomialTraits_d::ConstructPolynomial
PolynomialTraits_d::DegreeVector
PolynomialTraits_d::Degree
PolynomialTraits_d::Differentiate
PolynomialTraits_d::EvaluateHomogeneous
PolynomialTraits_d::Evaluate
PolynomialTraits_d::GcdUpToConstantFactor
PolynomialTraits_d::GetCoefficient
PolynomialTraits_d::GetInnermostCoefficient
PolynomialTraits_d::InnermostLeadingCoefficient
PolynomialTraits_d::IntegralDivisionUpToConstantFactor
PolynomialTraits_d::Invert
PolynomialTraits_d::IsSquareFree
PolynomialTraits_d::IsZeroAtHomogeneous
PolynomialTraits_d::IsZeroAt
PolynomialTraits_d::LeadingCoefficient
PolynomialTraits_d::MakeSquareFree
PolynomialTraits_d::MonomialRepresentation
PolynomialTraits_d::Move
PolynomialTraits_d::MultivariateContent
PolynomialTraits_d::Negate
PolynomialTraits_d::Permute
PolynomialTraits_d::PolynomialSubresultantsWithCofactors
PolynomialTraits_d::PolynomialSubresultants
PolynomialTraits_d::PrincipalSturmHabichtSequence
PolynomialTraits_d::PrincipalSubresultants
PolynomialTraits_d::PseudoDivisionQuotient
PolynomialTraits_d::PseudoDivisionRemainder
PolynomialTraits_d::PseudoDivision
PolynomialTraits_d::Resultant
PolynomialTraits_d::ScaleHomogeneous
PolynomialTraits_d::Scale
PolynomialTraits_d::Shift
PolynomialTraits_d::SignAtHomogeneous
PolynomialTraits_d::SignAt
PolynomialTraits_d::SquareFreeFactorizeUpToConstantFactor
PolynomialTraits_d::SquareFreeFactorize
PolynomialTraits_d::SturmHabichtSequenceWithCofactors
PolynomialTraits_d::SturmHabichtSequence
PolynomialTraits_d::SubstituteHomogeneous
PolynomialTraits_d::Substitute
PolynomialTraits_d::Swap
PolynomialTraits_d::TotalDegree
PolynomialTraits_d::TranslateHomogeneous
PolynomialTraits_d::Translate
PolynomialTraits_d::UnivariateContentUpToConstantFactor
PolynomialTraits_d::UnivariateContent
PolynomialTraits_d
Polynomial_d
polynomial_subresultants_with_cofactors
polynomial_subresultants
Polynomial_traits_d<Polynomial_d>
Polynomial_type_generator<T,d>
principal_sturm_habicht_sequence
principal_subresultants
pseudo_division_quotient
pseudo_division_remainder
pseudo_division
resultant
scale_homogeneous
scale
shift
sign_at_homogeneous
sign_at
square_free_factorize_up_to_constant_factor
square_free_factorize
sturm_habicht_sequence_with_cofactors
sturm_habicht_sequence
substitute_homogeneous
substitute
swap
total_degree
translate_homogeneous
translate
univariate_content_up_to_constant_factor
univariate_content