CGAL 4.11 - Algebraic Kernel
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Concepts | |
concept | AlgebraicKernel_d_1::ApproximateAbsolute_1 |
A model of AlgebraicKernel_d_1::ApproximateAbsolute_1 is an AdaptableBinaryFunction that computes an approximation of an AlgebraicKernel_d_1::Algebraic_real_1 value with respect to a given absolute precision. More... | |
concept | AlgebraicKernel_d_1::ApproximateRelative_1 |
A model of AlgebraicKernel_d_1::ApproximateRelative_1 is an AdaptableBinaryFunction that computes an approximation of an AlgebraicKernel_d_1::Algebraic_real_1 value with respect to a given relative precision. More... | |
concept | AlgebraicKernel_d_1::BoundBetween_1 |
Computes a number of type AlgebraicKernel_d_1::Bound in-between two AlgebraicKernel_d_1::Algebraic_real_1 values. More... | |
concept | AlgebraicKernel_d_1::Compare_1 |
Compares AlgebraicKernel_d_1::Algebraic_real_1 values. More... | |
concept | AlgebraicKernel_d_1::ComputePolynomial_1 |
Computes a square free univariate polynomial \( p\), such that the given AlgebraicKernel_d_1::Algebraic_real_1 is a root of \( p\). More... | |
concept | AlgebraicKernel_d_1::ConstructAlgebraicReal_1 |
Constructs AlgebraicKernel_d_1::Algebraic_real_1 . More... | |
concept | AlgebraicKernel_d_1::IsCoprime_1 |
Determines whether a given pair of univariate polynomials \( p_1, p_2\) is coprime, namely if \( \deg({\rm gcd}(p_1 ,p_2)) = 0\). More... | |
concept | AlgebraicKernel_d_1::Isolate_1 |
Computes an open isolating interval for an AlgebraicKernel_d_1::Algebraic_real_1 with respect to the real roots of a given univariate polynomial. More... | |
concept | AlgebraicKernel_d_1::IsSquareFree_1 |
Computes whether the given univariate polynomial is square free. More... | |
concept | AlgebraicKernel_d_1::IsZeroAt_1 |
Computes whether an AlgebraicKernel_d_1::Polynomial_1 is zero at a given AlgebraicKernel_d_1::Algebraic_real_1 . More... | |
concept | AlgebraicKernel_d_1::MakeCoprime_1 |
Computes for a given pair of univariate polynomials \( p_1\), \( p_2\) their common part \( g\) up to a constant factor and coprime parts \( q_1\), \( q_2\) respectively. More... | |
concept | AlgebraicKernel_d_1::MakeSquareFree_1 |
Returns a square free part of a univariate polynomial. More... | |
concept | AlgebraicKernel_d_1::NumberOfSolutions_1 |
Computes the number of real solutions of the given univariate polynomial. More... | |
concept | AlgebraicKernel_d_1::SignAt_1 |
Computes the sign of a univariate polynomial AlgebraicKernel_d_1::Polynomial_1 at a real value of type AlgebraicKernel_d_1::Algebraic_real_1 . More... | |
concept | AlgebraicKernel_d_1::Solve_1 |
Computes the real roots of a univariate polynomial. More... | |
concept | AlgebraicKernel_d_1::SquareFreeFactorize_1 |
Computes a square free factorization of an AlgebraicKernel_d_1::Polynomial_1 . More... | |
concept | AlgebraicKernel_d_1 |
A model of the AlgebraicKernel_d_1 concept is meant to provide the algebraic functionalities on univariate polynomials of general degree \( d\). More... | |