\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)

CGAL 4.3 - 2D Periodic Triangulations

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Periodic_2Offset_2 Concept Reference
Concepts

## Definition

The concept `Periodic_2Offset_2` describes a two-/dimensional integer vector with some specialized access functions and operations.

Has Models:
  CGAL::Periodic_2_offset_2

See Also
  `Periodic_2TriangulationTraits_2`
  `Periodic_2DelaunayTriangulationTraits_2`

## Related Functions
(Note that these are not member functions.)
istream & | operator>> (istream &is, Periodic_2Offset_2 &off)
| Inputs an offset from `is`.
ostream & | operator<< (ostream &os, Periodic_2Offset_2 &off) const
| Outputs an offset from `os`.

## Creation
| Periodic_2Offset_2 ()
| Default constructor.
| Periodic_2Offset_2 (int x, int y)
| Constructs the offset (x,y).

## Operations
Periodic_2Offset_2 | operator+ (const Periodic_2Offset_2 &o) const
| Return the vector sum of `this` and `o`.
Periodic_2Offset_2 | operator- (const Periodic_2Offset_2 &o) const
| Return the vector difference of `this` and `o`.
Periodic_2Offset_2 | operator- () const
| Return the negative vector of `this`.
void | operator+= (const Periodic_2Offset_2 &o) const
| Add `o` to `this` using vector addition.
void | operator-= (const Periodic_2Offset_2 &o) const
| Subtract `o` from `this` using vector subtraction.
bool | operator== (const Periodic_2Offset_2 &o) const
| Return `true` if `o` and `this` represent the same vector.
bool | operator!= (const Periodic_2Offset_2 &o) const
| Return `true` if `o` and `this` do not represent the same vector.
bool | operator< (const Periodic_2Offset_2 &o) const
| Compare `this` and `o` lexicographically.

## Access Functions
int | operator[] (int i)
| Return the \( i\)-th entry of `this`. More...
int | x () const
| Return the \( x\)-entry of `this`.
int | y () const
| Return the \( y\)-entry of `this`.
bool | is_null () const
| Returns `true` if `this` is equal to (0,0).
bool | is_zero () const
| Returns `true` if `this` is equal to (0,0).

## Member Function Documentation

int Periodic_2Offset_2::operator[] | ( | int | i) |  |

Return the \( i\)-th entry of `this`.

Precondition
  \( i\in\{0,1\}\)