Univariate Algebraic Kernel

Concepts
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...
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::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::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::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::IsSquareFree_1
	Computes whether the given univariate polynomial is square free. 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::NumberOfSolutions_1
	Computes the number of real solutions of the given univariate polynomial. More...
concept	AlgebraicKernel_d_1::Solve_1
	Computes the real roots of a univariate polynomial. 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::ConstructAlgebraicReal_1
	Constructs AlgebraicKernel_d_1::Algebraic_real_1. 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::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::Compare_1
	Compares AlgebraicKernel_d_1::Algebraic_real_1 values. More...
concept	AlgebraicKernel_d_1::MakeSquareFree_1
	Returns a square free part of a univariate polynomial. 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::SquareFreeFactorize_1
	Computes a square free factorization of an AlgebraicKernel_d_1::Polynomial_1. More...