\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 4.7 - 3D Triangulations
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CGAL::Regular_triangulation_cell_base_with_weighted_circumcenter_3< RegularTriangulationTraits_3, Cb > Class Template Reference

#include <CGAL/Regular_triangulation_cell_base_with_weighted_circumcenter_3.h>

Inherits from



The class Regular_triangulation_cell_base_with_weighted_circumcenter_3 derives from Cb, a cell base class of a 3D triangulation.

It provides an easy way to cache the computation of the weighted circumcenters of tetrahedra. Note that input/output operators discard this additional information.

All functions modifying the vertices of the cell invalidate the cached circumcenter.

Template Parameters
RegularTriangulationTraits_3is the geometric traits class.
Cbis a cell base class from which Regular_triangulation_cell_base_with_weighted_circumcenter_3 derives. Cb should be a model of RegularTriangulationCellBase_3. It has the default value Regular_triangulation_cell_base_3<RegularTriangulationTraits_3>.
Is Model Of:
See Also



Access function

As a model of the concept RegularTriangulationCellBase_3, Regular_triangulation_cell_base_3 provides a weighted_circumcenter() member fonction.

In this model, the weighted_circumcenter() member fonction returns the weighted circumcenter of the cell. This Bare_point is computed by the Construct_weighted_circumcenter_3 constructor of the traits class when this function is first called. In the next calls, the cached value is returned.

Note that this point has no weight.

const Bare_pointweighted_circumcenter (const RegularTriangulationTraits_3 &gt=RegularTriangulationTraits_3()) const
 Computes the weighted circumcenter of the tetrahedron, or retrieves it if already computed. More...
void swap (Regular_triangulation_cell_base_with_weighted_circumcenter_3 &other) throw ()
 Swaps the Regular_triangulation_cell_base_with_weighted_circumcenter_3 and other. More...

Member Function Documentation

Swaps the Regular_triangulation_cell_base_with_weighted_circumcenter_3 and other.

Should be preferred to an assignment or copy constructor when other is deleted after that.

template<typename RegularTriangulationTraits_3 , typename Cb >
const Bare_point& CGAL::Regular_triangulation_cell_base_with_weighted_circumcenter_3< RegularTriangulationTraits_3, Cb >::weighted_circumcenter ( const RegularTriangulationTraits_3 gt = RegularTriangulationTraits_3()) const

Computes the weighted circumcenter of the tetrahedron, or retrieves it if already computed.

The returned point has no weight.