\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)

CGAL 4.8 - 3D Spherical Geometry Kernel

All Classes Namespaces Files Functions Variables Typedefs Enumerations Enumerator Groups Pages
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 1 2]

CGAL |
Algebraic_kernel_for_spheres_2_3 |
Circular_arc_3 |
Circular_arc_point_3 |
Exact_spherical_kernel_3 | A typedef to a spherical kernel that provides both exact geometric predicates and exact geometric constructions
Line_arc_3 |
Polynomial_1_3 |
Polynomial_for_spheres_2_3 |
Polynomials_for_lines_3 |
Root_for_spheres_2_3 |
Spherical_kernel_3 |
AlgebraicKernelForSpheres | 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
CompareX |
CompareXY |
CompareXYZ |
CompareY |
CompareZ |
ConstructPolynomial_1_3 |
ConstructPolynomialForSpheres_2_3 |
ConstructPolynomialsForLines_3 |
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`
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`
PolynomialsForCircles_3 | Concept to represent a system of polynomials on `FieldNumberType` capable of storing equations of circles
PolynomialsForLines_3 | Concept to represent a system of polynomials on `FieldNumberType` capable of storing equations of lines
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`
SignAt |
Solve |
XCriticalPoints |
YCriticalPoints |
ZCriticalPoints |
SphericalKernel |
BoundedSide_3 |
CircularArc_3 | Concept for arcs of circles
CircularArcPoint_3 | Concept for points on spheres, circles, circular arcs or line arcs
CompareTheta_3 |
CompareThetaZ_3 |
CompareX_3 |
CompareXY_3 |
CompareXYZ_3 |
CompareY_3 |
CompareZ_3 |
CompareZAtTheta_3 |
CompareZToRight_3 |
ComputeApproximateAngle_3 |
ComputeApproximateSquaredLength_3 |
ComputeCircularX_3 |
ComputeCircularY_3 |
ComputeCircularZ_3 |
ConstructBbox_3 |
ConstructCircle_3 |
ConstructCircularArc_3 | The circular arc constructed from a circle, a source, and a target, is defined as the set of points of the circle that lie between the source `p1` and the target `p2`, when traversing the circle counterclockwise seen from the side of the plane of the circle pointed by its positive normal vectors
ConstructCircularArcPoint_3 |
ConstructCircularMaxVertex_3 |
ConstructCircularMinVertex_3 |
ConstructCircularSourceVertex_3 |
ConstructCircularTargetVertex_3 |
ConstructLine_3 |
ConstructLineArc_3 |
ConstructPlane_3 |
ConstructSphere_3 |
DoIntersect_3 | Testing whether two curves or surfaces intersect
DoOverlap_3 |
Equal_3 | Testing equality between objects
GetEquation |
HasOn_3 |
HasOnBoundedSide_3 |
HasOnUnboundedSide_3 |
Intersect_3 |
IsThetaMonotone_3 |
LineArc_3 | Concept for line segments supported by a line that is a model of `Kernel::Line_3`, and whose endpoints are models of the `SphericalKernel::CircularArcPoint_3` concept
MakeThetaMonotone_3 |
Split_3 |