CGAL 6.0 - Weights
|
A concept that describes the set of requirements of classes used in the computation of analytic weights in 2D.
Kernel
sCGAL:Projection_traits_xy_3<K>
CGAL::Projection_traits_yz_3<K>
CGAL::Projection_traits_xz_3<K>
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> . | |
Geometric Objects | |
typedef unspecified_type | Point_2 |
2D point type. | |
typedef unspecified_type | Vector_2 |
2D vector type. | |
Constructions | |
typedef unspecified_type | Compute_area_2 |
A construction object that must provide the function operator: | |
typedef unspecified_type | Compute_squared_distance_2 |
A construction object that must provide the function operator: | |
typedef unspecified_type | Compute_squared_length_2 |
A construction object that must provide the function operator: | |
typedef unspecified_type | Compute_scalar_product_2 |
A construction object that must provide the function operator: | |
typedef unspecified_type | Compute_determinant_2 |
A construction object that must provide the function operator: | |
typedef unspecified_type | Construct_circumcenter_2 |
A construction object that must provide the function operator: | |
typedef unspecified_type | Construct_vector_2 |
A construction object that must provide the function operator: | |
typedef unspecified_type | Construct_midpoint_2 |
A construction object that must provide the function operator: | |
typedef unspecified_type | Construct_centroid_2 |
A construction object that must provide the function operator: | |
Predicates | |
typedef unspecified_type | Equal_2 |
A predicate object that must provide the function operator: | |
typedef unspecified_type | Collinear_2 |
A predicate object that must provide the function operator: | |
typedef unspecified_type | Less_xy_2 |
A predicate object that must provide the function operator: | |
typedef unspecified_type | Compare_x_2 |
A predicate object that must provide the function operator: | |
typedef unspecified_type | Compare_y_2 |
A predicate object that must provide the function operator: | |
typedef unspecified_type | Orientation_2 |
A predicate object that must provide the function operator: | |
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.
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
.
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
.
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
.
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:
Point_2 operator()(const Point_2& p, const Point_2& q, const Point_2& r)
that returns the centroid of the points p
, q
, and r
.
A construction object that must provide the function operator:
Point_2 operator()(const Point_2& p, const Point_2& q, const Point_2& r)
that returns the center of the circle passing through the points p
, q
, and r
.
p
, q
, and r
are not collinear. A construction object that must provide the function operator:
Point_2 operator()(const Point_2& p, const Point_2& q)
that returns the midpoint between the points p
and q
.
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
.