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CGAL 5.4.1 - 2D Generalized Barycentric Coordinates
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CGAL 5.4.1 - 2D Generalized Barycentric Coordinates
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A concept that describes the set of requirements of the template parameter GeomTraits used to parameterize all classes and functions with 2D barycentric coordinates from the namespace CGAL::Barycentric_coordinates.
Types | |
| typedef unspecified_type | FT |
A model of FieldNumberType. | |
| typedef unspecified_type | Comparison_result |
CGAL::Comparison_result or Uncertain<CGAL::Comparison_result>. | |
| typedef unspecified_type | Orientation |
CGAL::Orientation or Uncertain<CGAL::Orientation>. | |
2D Geometric Objects | |
| typedef unspecified_type | Point_2 |
A model of Kernel::Point_2. | |
| typedef unspecified_type | Vector_2 |
A model of Kernel::Vector_2. | |
2D Generalized Constructions | |
| typedef unspecified_type | Compute_area_2 |
| A construction object that must provide the function operator: More... | |
| typedef unspecified_type | Compute_squared_distance_2 |
| A construction object that must provide the function operator: More... | |
| typedef unspecified_type | Compute_squared_length_2 |
| A construction object that must provide the function operator: More... | |
| typedef unspecified_type | Compute_scalar_product_2 |
| A construction object that must provide the function operator: More... | |
| typedef unspecified_type | Compute_determinant_2 |
| A construction object that must provide the function operator: More... | |
| typedef unspecified_type | Construct_vector_2 |
| A construction object that must provide the function operator: More... | |
2D Generalized Predicates | |
| typedef unspecified_type | Equal_2 |
| A predicate object that must provide the function operator: More... | |
| typedef unspecified_type | Collinear_2 |
| A predicate object that must provide the function operator: More... | |
| typedef unspecified_type | Collinear_are_ordered_along_line_2 |
| A predicate object that must provide the function operator: More... | |
| typedef unspecified_type | Less_xy_2 |
| A predicate object that must provide the function operator: More... | |
| typedef unspecified_type | Compare_x_2 |
| A predicate object that must provide the function operator: More... | |
| typedef unspecified_type | Compare_y_2 |
| A predicate object that must provide the function operator: More... | |
| typedef unspecified_type | Orientation_2 |
| A predicate object that must provide the function operator: More... | |
A predicate object that must provide the function operator:
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 CGAL::Barycentric_coordinates::BarycentricTraits_2::Collinear_are_ordered_along_line_2 |
A predicate object that must provide the function operator:
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.
A predicate object that must provide the function operator:
Comparison_result operator(const Point_2& p, const Point_2& q)
that compares the Cartesian x-coordinates of the points p and q.
A predicate object that must provide the function operator:
Comparison_result operator(const Point_2& p, const Point_2& q)
that compares the Cartesian y-coordinates of the points p and q.
A construction object that must provide the function operator:
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.
A construction object that must provide the function operator:
FT operator(const Vector_2& v, const Vector_2& w)
that returns the determinant of the vectors v and w.
| typedef unspecified_type CGAL::Barycentric_coordinates::BarycentricTraits_2::Compute_scalar_product_2 |
A construction object that must provide the function operator:
FT operator(const Vector_2& v, const Vector_2& w)
that returns the scalar product of the vectors v and w.
| typedef unspecified_type CGAL::Barycentric_coordinates::BarycentricTraits_2::Compute_squared_distance_2 |
A construction object that must provide the function operator:
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 CGAL::Barycentric_coordinates::BarycentricTraits_2::Compute_squared_length_2 |
A construction object that must provide the function operator:
FT operator(const Vector_2& v)
that returns the squared length of the vector v.
A construction object that must provide the function operator:
Vector_2 operator()(const Point_2& p, const Point_2& q)
that returns the vector through the points p and q.
A predicate object that must provide the function operator:
bool operator(const Point_2& p, const Point_2& q)
that returns true if p = q and false otherwise.
A predicate object that must provide the function operator:
bool operator(const Point_2& p, const Point_2& q)
that returns true iff the x-coordinate of p is smaller than the x-coordinate of q or if they are the same and the y-coordinate of p is smaller than the y-coordinate of q.
A predicate object that must provide the function operator:
Orientation operator(const Point_2& p, const Point_2& q, const Point_2& r)
that returns CGAL::LEFT_TURN if r lies to the left of the oriented line l defined by p and q, returns CGAL::RIGHT_TURN if r lies to the right of l, and returns CGAL::COLLINEAR if r lies on l.
1.8.13