#include <Concepts/AlgebraicKernelForCircles.h>

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>

Classes
class	CompareX

class	CompareXY

class	CompareY

class	ConstructPolynomial_1_2

class	ConstructPolynomialForCircles_2_2

class	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...

class	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...

class	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...

class	SignAt

class	Solve

class	XCriticalPoints

class	YCriticalPoints

Types
A model of `AlgebraicKernelForCircles` is supposed to provide
typedef unspecified_type	RT
	A model of `RingNumberType`. More...

typedef unspecified_type	FT
	A model of `FieldNumberType<RT>`. More...

typedef unspecified_type	Polynomial_1_2
	A model of `AlgebraicKernelForCircles::Polynomial_1_2`, for bivariate polynomials of degree up to 1. More...

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. More...

typedef unspecified_type	Root_of_2
	A model of `RootOf_2`, for algebraic numbers of degree up to 2. More...

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`. More...

typedef unspecified_type	Construct_polynomial_1_2
	A model of `AlgebraicKernelForCircles::ConstructPolynomial_1_2`. More...

typedef unspecified_type	Construct_polynomial_for_circles_2_2
	A model of `AlgebraicKernelForCircles::ConstructPolynomialForCircles_2_2`. More...

typedef unspecified_type	Compare_x
	A model of the concept `AlgebraicKernelForCircles::CompareX`. More...

typedef unspecified_type	Compare_y
	A model of the concept `AlgebraicKernelForCircles::CompareY`. More...

typedef unspecified_type	Compare_xy
	A model of the concept `AlgebraicKernelForCircles::CompareXY`. More...

typedef unspecified_type	Sign_at
	A model of the concept `AlgebraicKernelForCircles::SignAt`. More...

typedef unspecified_type	X_critical_points
	A model of the concept `AlgebraicKernelForCircles::XCriticalPoints`. More...

typedef unspecified_type	Y_critical_points
	A model of the concept `AlgebraicKernelForCircles::YCriticalPoints`. More...

typedef unspecified_type	Solve
	A model of the concept `AlgebraicKernelForCircles::Solve`. More...