AlgebraicKernelForCircles Concept Reference

Definition

The AlgebraicKernelForCircles concept is meant to provide the curved kernel with all the algebraic functionalities required for the manipulation of circular arcs.

Has models

CGAL::Algebraic_kernel_for_circles_2_2

See also

CircularKernel

CGAL::Circular_kernel_2<Kernel,AlgebraicKernelForCircles>

Concepts
concept	CompareX
concept	CompareXY
concept	CompareY
concept	ConstructPolynomial_1_2
concept	ConstructPolynomialForCircles_2_2
concept	Polynomial_1_2
	Concept to represent bivariate polynomials of degree 1 whose coefficients are of a type that is a model of the concept RingNumberType. More...
concept	PolynomialForCircles_2_2
	Concept to represent bivariate polynomials of degree up to 2 capable of storing equations of circles, whose center's coordinates, as well as the square of the radius, are of a type that is a model of the concept FieldNumberType. More...
concept	RootForCircles_2_2
	Concept to represent the roots of a system of two equations of degree 2 in two variables x and y that are models of concept AlgebraicKernelForCircles::PolynomialForCircles_2_2 More...
concept	SignAt
concept	Solve
concept	XCriticalPoints
concept	YCriticalPoints

Types
A model of AlgebraicKernelForCircles is supposed to provide
typedef unspecified_type	RT
	A model of RingNumberType.
typedef unspecified_type	FT
	A model of FieldNumberType<RT>.
typedef unspecified_type	Polynomial_1_2
	A model of AlgebraicKernelForCircles::Polynomial_1_2, for bivariate polynomials of degree up to 1.
typedef unspecified_type	Polynomial_for_circles_2_2
	A model of AlgebraicKernelForCircles::PolynomialForCircles_2_2, for bivariate polynomials of degree up to 2 that can store equations of circles.
typedef unspecified_type	Root_of_2
	A model of RootOf_2, for algebraic numbers of degree up to 2.
typedef unspecified_type	Root_for_circles_2_2
	A model of AlgebraicKernelForCircles::RootForCircles_2_2, for solutions of systems of two models of AlgebraicKernelForCircles::PolynomialForCircles_2_2.
typedef unspecified_type	Construct_polynomial_1_2
	A model of AlgebraicKernelForCircles::ConstructPolynomial_1_2.
typedef unspecified_type	Construct_polynomial_for_circles_2_2
	A model of AlgebraicKernelForCircles::ConstructPolynomialForCircles_2_2.
typedef unspecified_type	Compare_x
	A model of the concept AlgebraicKernelForCircles::CompareX.
typedef unspecified_type	Compare_y
	A model of the concept AlgebraicKernelForCircles::CompareY.
typedef unspecified_type	Compare_xy
	A model of the concept AlgebraicKernelForCircles::CompareXY.
typedef unspecified_type	Sign_at
	A model of the concept AlgebraicKernelForCircles::SignAt.
typedef unspecified_type	X_critical_points
	A model of the concept AlgebraicKernelForCircles::XCriticalPoints.
typedef unspecified_type	Y_critical_points
	A model of the concept AlgebraicKernelForCircles::YCriticalPoints.
typedef unspecified_type	Solve
	A model of the concept AlgebraicKernelForCircles::Solve.