CGAL 6.0.1 - Algebraic Kernel
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Class and Concept List
Here is the list of all concepts and classes of this package. Classes are inside the namespace CGAL. Concepts are in the global namespace.
[detail level 12]
 ▼NCGAL
 CAlgebraic_kernel_d_1The class represents an algebraic real root by a square free polynomial and an isolating interval that uniquely defines the root
 CAlgebraic_kernel_d_2This class gathers necessary tools for solving and handling bivariate polynomial systems of general degree \( d\)
 CAlgebraic_kernel_rs_gmpq_d_1
 CAlgebraic_kernel_rs_gmpz_d_1
 ▼CAlgebraicKernel_d_1A model of the AlgebraicKernel_d_1 concept is meant to provide the algebraic functionalities on univariate polynomials of general degree \( d\)
 CApproximateAbsolute_1A 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
 CApproximateRelative_1A 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
 CBoundBetween_1Computes a number of type AlgebraicKernel_d_1::Bound in-between two AlgebraicKernel_d_1::Algebraic_real_1 values
 CCompare_1Compares AlgebraicKernel_d_1::Algebraic_real_1 values
 CComputePolynomial_1Computes a square free univariate polynomial \( p\), such that the given AlgebraicKernel_d_1::Algebraic_real_1 is a root of \( p\)
 CConstructAlgebraicReal_1Constructs AlgebraicKernel_d_1::Algebraic_real_1
 CIsCoprime_1Determines whether a given pair of univariate polynomials \( p_1, p_2\) is coprime, namely if \( \deg({\rm gcd}(p_1 ,p_2)) = 0\)
 CIsolate_1Computes an open isolating interval for an AlgebraicKernel_d_1::Algebraic_real_1 with respect to the real roots of a given univariate polynomial
 CIsSquareFree_1Computes whether the given univariate polynomial is square free
 CIsZeroAt_1Computes whether an AlgebraicKernel_d_1::Polynomial_1 is zero at a given AlgebraicKernel_d_1::Algebraic_real_1
 CMakeCoprime_1Computes 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
 CMakeSquareFree_1Returns a square free part of a univariate polynomial
 CNumberOfSolutions_1Computes the number of real solutions of the given univariate polynomial
 CSignAt_1Computes the sign of a univariate polynomial AlgebraicKernel_d_1::Polynomial_1 at a real value of type AlgebraicKernel_d_1::Algebraic_real_1
 CSolve_1Computes the real roots of a univariate polynomial
 CSquareFreeFactorize_1Computes a square free factorization of an AlgebraicKernel_d_1::Polynomial_1
 ▼CAlgebraicKernel_d_2A model of the AlgebraicKernel_d_2 concept gathers necessary tools for solving and handling bivariate polynomial systems of general degree \( d\)
 CApproximateAbsoluteX_2A 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
 CApproximateAbsoluteY_2A 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
 CApproximateRelativeX_2A 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
 CApproximateRelativeY_2A 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
 CBoundBetweenX_2Computes a number of type AlgebraicKernel_d_1::Bound in-between the first coordinates of two AlgebraicKernel_d_2::AlgebraicReal_2
 CBoundBetweenY_2Computes a number of type AlgebraicKernel_d_1::Bound in-between the second coordinates of two AlgebraicKernel_d_2::AlgebraicReal_2
 CCompareX_2Compares the first coordinates of AlgebraicKernel_d_2::Algebraic_real_2s
 CCompareXY_2Compares AlgebraicKernel_d_2::Algebraic_real_2s lexicographically
 CCompareY_2Compares the second coordinated of AlgebraicKernel_d_2::Algebraic_real_2s
 CComputePolynomialX_2Computes 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 \( p\)
 CComputePolynomialY_2Computes 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 \( p\)
 CComputeX_2Computes the first coordinate of an AlgebraicKernel_d_2::AlgebraicReal_2
 CComputeY_2Computes the second coordinate of an AlgebraicKernel_d_2::AlgebraicReal_2
 CConstructAlgebraicReal_2Constructs an AlgebraicKernel_d_2::Algebraic_real_2
 CIsCoprime_2Computes whether a given pair of bivariate polynomials is coprime
 CIsolate_2Computes an isolating box for a given AlgebraicKernel_d_2::Algebraic_real_2
 CIsolateX_2Computes 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
 CIsolateY_2Computes 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
 CIsSquareFree_2Computes whether the given bivariate polynomial is square free
 CIsZeroAt_2Computes whether an AlgebraicKernel_d_2::Polynomial_2 is zero at a given AlgebraicKernel_d_2::Algebraic_real_2
 CMakeCoprime_2Computes for a given pair of bivariate polynomials \( p_1\), \( p_2\) their common part \( g\) and coprime parts \( q_1\), \( q_2\) respectively
 CMakeSquareFree_2Returns a square free part of a bivariate polynomial
 CNumberOfSolutions_2Computes the number of real solutions of the given bivariate polynomial system
 CSignAt_2Computes the sign of a bivariate polynomial AlgebraicKernel_d_2::Polynomial_2 at a value of type AlgebraicKernel_d_2::Algebraic_real_2
 CSolve_2Computes the real zero-dimensional solutions of a bivariate polynomial system. The multiplicity stored in the output iterator is the multiplicity in the system
 CSquareFreeFactorize_2Computes a square free factorization of an AlgebraicKernel_d_2::Polynomial_2