\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 4.14 - Combinatorial Maps
CGAL::Dart< d, CMap > Struct Template Reference

#include <CGAL/Dart.h>

Definition

The class Dart represents a dD dart in a combinatorial map.

Deprecated:
This class is deprecated since CGAL 4.9. Dart is now a type defined internally; users can now only define the information associated with darts. All functions defined in this class are now defined as methods of a combinatorial map taking a Dart_handle as first parameter. CGAL_CMAP_DART_DEPRECATED can be defined to keep the old behavior.

Public Types

typedef CMap::Dart_handle Dart_handle
 
typedef CMap::Dart_const_handle Dart_const_handle
 
template<unsigned int i>
using Attribute_handle = CMap::Attribute_handle< i >
 
template<unsigned int i>
using Attribute_const_handle = CMap::Attribute_const_handle< i >
 

Public Member Functions

Dart_handle beta (unsigned int i)
 Returns \( \beta_i\)(*this). More...
 
Dart_const_handle beta (unsigned int i) const
 Returns \( \beta_i\)(*this) when the dart is const. More...
 
Dart_handle beta_inv (unsigned int i)
 Returns \( \beta_i^{-1}\)(*this). More...
 
Dart_const_handle beta_inv (unsigned int i) const
 Returns \( \beta_i^{-1}\)(*this) when the dart is const. More...
 

Member Function Documentation

◆ beta() [1/2]

template<typename d , typename CMap >
Dart_handle CGAL::Dart< d, CMap >::beta ( unsigned int  i)

Returns \( \beta_i\)(*this).

Precondition
0 \( \leq \) i \( \leq \) dimension.

◆ beta() [2/2]

template<typename d , typename CMap >
Dart_const_handle CGAL::Dart< d, CMap >::beta ( unsigned int  i) const

Returns \( \beta_i\)(*this) when the dart is const.

Precondition
0 \( \leq \) i \( \leq \) dimension.

◆ beta_inv() [1/2]

template<typename d , typename CMap >
Dart_handle CGAL::Dart< d, CMap >::beta_inv ( unsigned int  i)

Returns \( \beta_i^{-1}\)(*this).

Precondition
0 \( \leq \) i \( \leq \) dimension.

◆ beta_inv() [2/2]

template<typename d , typename CMap >
Dart_const_handle CGAL::Dart< d, CMap >::beta_inv ( unsigned int  i) const

Returns \( \beta_i^{-1}\)(*this) when the dart is const.

Precondition
0 \( \leq \) i \( \leq \) dimension.