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

CGAL 4.8 - 2D Generalized Barycentric Coordinates

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BarycentricTraits_2 Concept Reference
Concepts

## Definition

Requirements of the template parameter `Traits` for all the classes with two-dimensional barycentric coordinates from the namespace `CGAL::Barycentric_coordinates`.

Has Models:
  All models of `Kernel`

## Types
typedef unspecified_type | FT
| A model of `FieldNumberType`.

## Two-dimensional Geometric Objects
typedef unspecified_type | Point_2
| A model of `Kernel::Point_2`.
typedef unspecified_type | Vector_2
| A model of `Kernel::Vector_2`.

## Two-dimensional Constructions
typedef unspecified_type | Compute_area_2
| A model of this concept must provide an FT operator(const Point_2 &p, const Point_2 &q, const Point_2 &r) that returns the signed area of the triangle defined by the points p, q, and r.
typedef unspecified_type | Compute_squared_distance_2
| A model of this concept must provide an FT operator(const Point_2 &p, const Point_2 &q) that returns the squared Euclidean distance between the points p and q.
typedef unspecified_type | Compute_squared_length_2
| A model of this concept must provide an FT operator(const Vector_2 &p) that returns the squared length of the vector p.
typedef unspecified_type | Compute_scalar_product_2
| A model of this concept must provide an FT operator(const Vector_2 &p, const Vector_2 &q) that returns the scalar product between the vectors p and q.

## Two-dimensional Generalized Predicates
typedef unspecified_type | Equal_2
| A model of this concept must provide a bool operator(const Point_2 &p, const Point_2 &q) that returns true if p = q and false otherwise.
typedef unspecified_type | Collinear_2
| A model of this concept must provide a bool operator(const Point_2 &p, const Point_2 &q, const Point_2 &r) that returns true if the points p, q, and r are collinear and false otherwise.
typedef unspecified_type | Collinear_are_ordered_along_line_2
| A model of this concept must provide a bool operator(const Point_2 &p, const Point_2 &q, const Point_2 &r) that returns true if the point q lies between the points p and r and all three points are collinear.