CGAL 6.0 - 3D Triangulation Data Structure
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CGAL::Triangulation_utils_3 Struct Reference

#include <CGAL/Triangulation_utils_3.h>

Inherited by CGAL::Triangulation_data_structure_3< VertexBase, CellBase, ConcurrencyTag >.

Definition

The class Triangulation_utils_3 defines operations on the indices of vertices and neighbors within a cell.

Figure 47.1 Operations on indices.


Operations

static unsigned int next_around_edge (unsigned int i, unsigned int j)
 In dimension 3, index of the neighbor n that is next to the current cell, when turning positively around an oriented edge whose endpoints are indexed i and j.
 
static int vertex_triple_index (const int i, const int j)
 In dimension 3, index of the j-th vertex in counterclockwise order on the face opposite to vertex with i of the cell.
 
static unsigned int ccw (unsigned int i)
 Has a meaning only in dimension 2.
 
static unsigned int cw (unsigned int i)
 Same for clockwise.
 

Member Function Documentation

◆ ccw()

static unsigned int CGAL::Triangulation_utils_3::ccw ( unsigned int  i)
static

Has a meaning only in dimension 2.

Computes the index of the vertex that is next to the vertex numbered i in counterclockwise direction. (see Figure 47.1).

Precondition
i<3.

◆ next_around_edge()

static unsigned int CGAL::Triangulation_utils_3::next_around_edge ( unsigned int  i,
unsigned int  j 
)
static

In dimension 3, index of the neighbor n that is next to the current cell, when turning positively around an oriented edge whose endpoints are indexed i and j.

According to the usual numbering of vertices and neighbors in a given cell, it is also the index of the vertex opposite to this neighbor n. (see Figure 47.1).

Precondition
( i < 4 ) && ( j < 4 ) && ( i != j ).

◆ vertex_triple_index()

static int CGAL::Triangulation_utils_3::vertex_triple_index ( const int  i,
const int  j 
)
static

In dimension 3, index of the j-th vertex in counterclockwise order on the face opposite to vertex with i of the cell.

Precondition
( i < 4 ) && ( j < 3 ).