\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 4.5 - 3D Spherical Geometry 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]
oNCGAL
|oCAlgebraic_kernel_for_spheres_2_3
|oCCircular_arc_3
|oCCircular_arc_point_3
|oCExact_spherical_kernel_3A typedef to a spherical kernel that provides both exact geometric predicates and exact geometric constructions
|oCLine_arc_3
|oCPolynomial_1_3
|oCPolynomial_for_spheres_2_3
|oCPolynomials_for_lines_3
|oCRoot_for_spheres_2_3
|\CSpherical_kernel_3
oCAlgebraicKernelForSpheresThe 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
|oCCompareX
|oCCompareXY
|oCCompareXYZ
|oCCompareY
|oCCompareZ
|oCConstructPolynomial_1_3
|oCConstructPolynomialForSpheres_2_3
|oCConstructPolynomialsForLines_3
|oCPolynomial_1_3Concept to represent trivariate polynomials of degree 1 whose coefficients are of a type that is a model of the concept RingNumberType
|oCPolynomialForSpheres_2_3Concept 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
|oCPolynomialsForCircles_3Concept to represent a system of polynomials on FieldNumberType capable of storing equations of circles
|oCPolynomialsForLines_3Concept to represent a system of polynomials on FieldNumberType capable of storing equations of lines
|oCRootForSpheres_2_3Concept 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
|oCSignAt
|oCSolve
|oCXCriticalPoints
|oCYCriticalPoints
|\CZCriticalPoints
\CSphericalKernel
 oCBoundedSide_3
 oCCircularArc_3Concept for arcs of circles
 oCCircularArcPoint_3Concept for points on spheres, circles, circular arcs or line arcs
 oCCompareTheta_3
 oCCompareThetaZ_3
 oCCompareX_3
 oCCompareXY_3
 oCCompareXYZ_3
 oCCompareY_3
 oCCompareZ_3
 oCCompareZAtTheta_3
 oCCompareZToRight_3
 oCComputeApproximateAngle_3
 oCComputeApproximateSquaredLength_3
 oCComputeCircularX_3
 oCComputeCircularY_3
 oCComputeCircularZ_3
 oCConstructBbox_3
 oCConstructCircle_3
 oCConstructCircularArc_3The 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
 oCConstructCircularArcPoint_3
 oCConstructCircularMaxVertex_3
 oCConstructCircularMinVertex_3
 oCConstructCircularSourceVertex_3
 oCConstructCircularTargetVertex_3
 oCConstructLine_3
 oCConstructLineArc_3
 oCConstructPlane_3
 oCConstructSphere_3
 oCDoIntersect_3Testing whether two curves or surfaces intersect
 oCDoOverlap_3
 oCEqual_3Testing equality between objects
 oCGetEquation
 oCHasOn_3
 oCHasOnBoundedSide_3
 oCHasOnUnboundedSide_3
 oCIntersect_3
 oCIsThetaMonotone_3
 oCLineArc_3Concept 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
 oCMakeThetaMonotone_3
 \CSplit_3