CGAL 5.0.2 - Algebraic Kernel
Univariate Algebraic Kernel

## Concepts

conceptAlgebraicKernel_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...

conceptAlgebraicKernel_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...

conceptAlgebraicKernel_d_1::BoundBetween_1
Computes a number of type AlgebraicKernel_d_1::Bound in-between two AlgebraicKernel_d_1::Algebraic_real_1 values. More...

conceptAlgebraicKernel_d_1::Compare_1
Compares AlgebraicKernel_d_1::Algebraic_real_1 values. More...

conceptAlgebraicKernel_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...

conceptAlgebraicKernel_d_1::ConstructAlgebraicReal_1
Constructs AlgebraicKernel_d_1::Algebraic_real_1. More...

conceptAlgebraicKernel_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...

conceptAlgebraicKernel_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...

conceptAlgebraicKernel_d_1::IsSquareFree_1
Computes whether the given univariate polynomial is square free. More...

conceptAlgebraicKernel_d_1::IsZeroAt_1
Computes whether an AlgebraicKernel_d_1::Polynomial_1 is zero at a given AlgebraicKernel_d_1::Algebraic_real_1. More...

conceptAlgebraicKernel_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...

conceptAlgebraicKernel_d_1::MakeSquareFree_1
Returns a square free part of a univariate polynomial. More...

conceptAlgebraicKernel_d_1::NumberOfSolutions_1
Computes the number of real solutions of the given univariate polynomial. More...

conceptAlgebraicKernel_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...

conceptAlgebraicKernel_d_1::Solve_1
Computes the real roots of a univariate polynomial. More...

conceptAlgebraicKernel_d_1::SquareFreeFactorize_1
Computes a square free factorization of an AlgebraicKernel_d_1::Polynomial_1. More...

conceptAlgebraicKernel_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...