CGAL 6.0 - 3D Spherical Geometry Kernel
|
The AlgebraicKernelForSpheres
concept is meant to provide the curved kernel with all the algebraic functionalities required for the manipulation of spheres, circles, and circular arcs in 3D.
CGAL::Algebraic_kernel_for_spheres_2_3
Concepts | |
concept | CompareX |
concept | CompareXY |
concept | CompareXYZ |
concept | CompareY |
concept | CompareZ |
concept | ConstructPolynomial_1_3 |
concept | ConstructPolynomialForSpheres_2_3 |
concept | ConstructPolynomialsForLines_3 |
concept | Polynomial_1_3 |
Concept to represent trivariate polynomials of degree 1 whose coefficients are of a type that is a model of the concept RingNumberType . More... | |
concept | PolynomialForSpheres_2_3 |
Concept to represent trivariate polynomials of degree up to 2 capable of storing equations of spheres, 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 | PolynomialsForCircles_3 |
Concept to represent a system of polynomials on FieldNumberType capable of storing equations of circles. More... | |
concept | PolynomialsForLines_3 |
Concept to represent a system of polynomials on FieldNumberType capable of storing equations of lines. More... | |
concept | RootForSpheres_2_3 |
Concept to represent the roots of a system of three equations of degree 2 in three variables x , y and z that are models of concept AlgebraicKernelForSpheres::PolynomialForSpheres_2_3 . More... | |
concept | SignAt |
concept | Solve |
concept | XCriticalPoints |
concept | YCriticalPoints |
concept | ZCriticalPoints |
Types | |
A model of | |
typedef unspecified_type | RT |
A model of RingNumberType . | |
typedef unspecified_type | FT |
A model of FieldNumberType <RT> . | |
typedef unspecified_type | Polynomial_1_3 |
A model of AlgebraicKernelForSpheres::Polynomial_1_3 , for trivariate polynomials of degree up to 1. | |
typedef unspecified_type | Polynomial_for_spheres_2_3 |
A model of AlgebraicKernelForSpheres::PolynomialForSpheres_2_3 , for trivariate polynomials of degree up to 2 that can store equations of spheres. | |
typedef unspecified_type | Polynomials_for_lines_3 |
A model of AlgebraicKernelForSpheres::PolynomialsForLines_3 , for systems of polynomials that can store equations of lines in 3D. | |
typedef unspecified_type | Root_of_2 |
A model of RootOf_2 , for algebraic numbers of degree up to 2. | |
typedef unspecified_type | Root_for_spheres_2_3 |
A model of AlgebraicKernelForSpheres::RootForSpheres_2_3 , for solutions of systems of three models of AlgebraicKernelForSpheres::PolynomialForSpheres_2_3 . | |
typedef unspecified_type | Construct_polynomial_1_3 |
A model of AlgebraicKernelForSpheres::ConstructPolynomial_1_3 . | |
typedef unspecified_type | Construct_polynomial_for_spheres_2_3 |
A model of AlgebraicKernelForSpheres::ConstructPolynomialForSpheres_2_3 . | |
typedef unspecified_type | Construct_polynomials_for_lines_3 |
A model of AlgebraicKernelForSpheres::ConstructPolynomialsForLines_3 . | |
typedef unspecified_type | Compare_x |
A model of the concept AlgebraicKernelForSpheres::CompareX . | |
typedef unspecified_type | Compare_y |
A model of the concept AlgebraicKernelForSpheres::CompareY . | |
typedef unspecified_type | Compare_z |
A model of the concept AlgebraicKernelForSpheres::CompareZ . | |
typedef unspecified_type | Compare_xy |
A model of the concept AlgebraicKernelForSpheres::CompareXY . | |
typedef unspecified_type | Compare_xyz |
A model of the concept AlgebraicKernelForSpheres::CompareXYZ . | |
typedef unspecified_type | Sign_at |
A model of the concept AlgebraicKernelForSpheres::SignAt . | |
typedef unspecified_type | X_critical_points |
A model of the concept AlgebraicKernelForSpheres::XCriticalPoints . | |
typedef unspecified_type | Y_critical_points |
A model of the concept AlgebraicKernelForSpheres::YCriticalPoints . | |
typedef unspecified_type | Z_critical_points |
A model of the concept AlgebraicKernelForSpheres::ZCriticalPoints . | |
typedef unspecified_type | Solve |
A model of the concept AlgebraicKernelForSpheres::Solve . | |