CGAL 5.5.2 - Algebraic Kernel
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Concepts | |
concept | AlgebraicKernel_d_2::ApproximateAbsoluteX_2 |
A model of AlgebraicKernel_d_2::ApproximateAbsoluteX_2 is an AdaptableBinaryFunction that computes an approximation of the \( x\)-coordinate of an AlgebraicKernel_d_2::Algebraic_real_2 value with respect to a given absolute precision. More... | |
concept | AlgebraicKernel_d_2::ApproximateAbsoluteY_2 |
A model of AlgebraicKernel_d_2::ApproximateAbsoluteY_2 is an AdaptableBinaryFunction that computes an approximation of the \( y\)-coordinate of an AlgebraicKernel_d_2::Algebraic_real_2 value with respect to a given absolute precision. More... | |
concept | AlgebraicKernel_d_2::ApproximateRelativeX_2 |
A model of AlgebraicKernel_d_2::ApproximateRelativeX_2 is an AdaptableBinaryFunction that computes an approximation of the \( x\)-coordinate of an AlgebraicKernel_d_2::Algebraic_real_2 value with respect to a given relative precision. More... | |
concept | AlgebraicKernel_d_2::ApproximateRelativeY_2 |
A model of AlgebraicKernel_d_2::ApproximateRelativeY_2 is an AdaptableBinaryFunction that computes an approximation of the \( y\)-coordinate of an AlgebraicKernel_d_2::Algebraic_real_2 value with respect to a given relative precision. More... | |
concept | AlgebraicKernel_d_2::BoundBetweenX_2 |
Computes a number of type AlgebraicKernel_d_1::Bound in-between the first coordinates of two AlgebraicKernel_d_2::AlgebraicReal_2 . More... | |
concept | AlgebraicKernel_d_2::BoundBetweenY_2 |
Computes a number of type AlgebraicKernel_d_1::Bound in-between the second coordinates of two AlgebraicKernel_d_2::AlgebraicReal_2 . More... | |
concept | AlgebraicKernel_d_2::CompareX_2 |
Compares the first coordinates of AlgebraicKernel_d_2::Algebraic_real_2 s. More... | |
concept | AlgebraicKernel_d_2::CompareXY_2 |
Compares AlgebraicKernel_d_2::Algebraic_real_2 s lexicographically. More... | |
concept | AlgebraicKernel_d_2::CompareY_2 |
Compares the second coordinated of AlgebraicKernel_d_2::Algebraic_real_2 s. More... | |
concept | AlgebraicKernel_d_2::ComputePolynomialX_2 |
Computes a univariate square free polynomial \( p\), such that the first coordinate of a given AlgebraicKernel_d_2::Algebraic_real_2 is a real root of \( p\). More... | |
concept | AlgebraicKernel_d_2::ComputePolynomialY_2 |
Computes a univariate square free polynomial \( p\), such that the second coordinate of a given AlgebraicKernel_d_2::Algebraic_real_2 is a real root of \( p\). More... | |
concept | AlgebraicKernel_d_2::ComputeX_2 |
Computes the first coordinate of an AlgebraicKernel_d_2::AlgebraicReal_2 . More... | |
concept | AlgebraicKernel_d_2::ComputeY_2 |
Computes the second coordinate of an AlgebraicKernel_d_2::AlgebraicReal_2 . More... | |
concept | AlgebraicKernel_d_2::ConstructAlgebraicReal_2 |
Constructs an AlgebraicKernel_d_2::Algebraic_real_2 . More... | |
concept | AlgebraicKernel_d_2::IsCoprime_2 |
Computes whether a given pair of bivariate polynomials is coprime. More... | |
concept | AlgebraicKernel_d_2::Isolate_2 |
Computes an isolating box for a given AlgebraicKernel_d_2::Algebraic_real_2 . More... | |
concept | AlgebraicKernel_d_2::IsolateX_2 |
Computes an isolating interval for the first coordinate of an AlgebraicKernel_d_2::Algebraic_real_2 with respect to the real roots of a univariate polynomial. More... | |
concept | AlgebraicKernel_d_2::IsolateY_2 |
Computes an isolating interval for the second coordinate of an AlgebraicKernel_d_2::Algebraic_real_2 with respect to the real roots of a univariate polynomial. More... | |
concept | AlgebraicKernel_d_2::IsSquareFree_2 |
Computes whether the given bivariate polynomial is square free. More... | |
concept | AlgebraicKernel_d_2::IsZeroAt_2 |
Computes whether an AlgebraicKernel_d_2::Polynomial_2 is zero at a given AlgebraicKernel_d_2::Algebraic_real_2 . More... | |
concept | AlgebraicKernel_d_2::MakeCoprime_2 |
Computes for a given pair of bivariate polynomials \( p_1\), \( p_2\) their common part \( g\) and coprime parts \( q_1\), \( q_2\) respectively. More... | |
concept | AlgebraicKernel_d_2::MakeSquareFree_2 |
Returns a square free part of a bivariate polynomial. More... | |
concept | AlgebraicKernel_d_2::NumberOfSolutions_2 |
Computes the number of real solutions of the given bivariate polynomial system. More... | |
concept | AlgebraicKernel_d_2::SignAt_2 |
Computes the sign of a bivariate polynomial AlgebraicKernel_d_2::Polynomial_2 at a value of type AlgebraicKernel_d_2::Algebraic_real_2 . More... | |
concept | AlgebraicKernel_d_2::Solve_2 |
Computes the real zero-dimensional solutions of a bivariate polynomial system. The multiplicity stored in the output iterator is the multiplicity in the system. More... | |
concept | AlgebraicKernel_d_2::SquareFreeFactorize_2 |
Computes a square free factorization of an AlgebraicKernel_d_2::Polynomial_2 . More... | |
concept | AlgebraicKernel_d_2 |
A model of the AlgebraicKernel_d_2 concept gathers necessary tools for solving and handling bivariate polynomial systems of general degree \( d\). More... | |