\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 4.12.1 - 3D Periodic Triangulations
Periodic_3Offset_3 Concept Reference

Definition

The concept Periodic_3Offset_3 describes a three-dimensional integer vector with some specialized access functions and operations.

Has Models:
CGAL::Periodic_3_offset_3
See also
Periodic_3TriangulationTraits_3
Periodic_3DelaunayTriangulationTraits_3
Periodic_3RegularTriangulationTraits_3

Creation

 Periodic_3Offset_3 ()
 Default constructor.
 
 Periodic_3Offset_3 (int x, int y, int z)
 Constructs the offset (x,y,z).
 

Operations

Periodic_3Offset_3 operator+ (const Periodic_3Offset_3 &other) const
 Return the vector sum of o and other.
 
Periodic_3Offset_3 operator- (const Periodic_3Offset_3 &other) const
 Return the vector difference of o and other.
 
Periodic_3Offset_3 operator- () const
 Return the negative vector of o.
 
void operator+= (const Periodic_3Offset_3 &other) const
 Add other to o using vector addition.
 
void operator-= (const Periodic_3Offset_3 &other) const
 Subtract other from o using vector subtraction.
 
bool operator== (const Periodic_3Offset_3 &other) const
 Return true if other and o represent the same vector.
 
bool operator!= (const Periodic_3Offset_3 &other) const
 Return true if other and o do not represent the same vector.
 
bool operator< (const Periodic_3Offset_3 &other) const
 Compare o and other lexicographically.
 

Access Functions

int operator[] (int i)
 Return the \( i\)-th entry of o.
 
int x () const
 Return the \( x\)-entry of o.
 
int y () const
 Return the \( y\)-entry of o.
 
int z ()
 Return the \( z\)-entry of o.
 
bool is_null () const
 Returns true if o is equal to (0,0,0).
 
istream & operator>> (istream &is, Periodic_3_offset_3 &off)
 Inputs an offset from is.
 
ostream & operator<< (ostream &os, Periodic_3_offset_3 &off) const
 Outputs an offset from os.