CGAL 5.6 - Weights
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AnalyticWeightTraits_3 Concept Reference

Definition

A concept that describes the set of requirements of classes used in the computation of analytic weights in 3D.

Has Models:

Types

typedef unspecified_type FT
 A model of FieldNumberType.
 

Geometric Objects

typedef unspecified_type Point_3
 3D point type.
 
typedef unspecified_type Vector_3
 3D vector type.
 

Constructions

typedef unspecified_type Compute_squared_distance_3
 A construction object that must provide the function operator:
 
typedef unspecified_type Compute_squared_length_3
 A construction object that must provide the function operator:
 
typedef unspecified_type Compute_scalar_product_3
 A construction object that must provide the function operator:
 
typedef unspecified_type Construct_cross_product_vector_3
 A construction object that must provide the function operator:
 
typedef unspecified_type Construct_circumcenter_3
 A construction object that must provide the function operator:
 
typedef unspecified_type Construct_vector_3
 A construction object that must provide the function operator:
 
typedef unspecified_type Construct_midpoint_3
 A construction object that must provide the function operator:
 
typedef unspecified_type Construct_centroid_3
 A construction object that must provide two function operators:
 

Member Typedef Documentation

◆ Compute_scalar_product_3

A construction object that must provide the function operator:

FT operator()(const Vector_3& v, const Vector_3& w)

that returns the scalar product of the vectors v and w.

◆ Compute_squared_distance_3

A construction object that must provide the function operator:

FT operator()(const Point_3& p, const Point_3& q)

that returns the squared Euclidean distance between the points p and q.

◆ Compute_squared_length_3

A construction object that must provide the function operator:

FT operator()(const Vector_3& v)

that returns the squared length of the vector v.

◆ Construct_centroid_3

A construction object that must provide two function operators:

Point_3 operator()(const Point_3& p, const Point_3& q, const Point_3& r)

that returns the centroid of the points p, q, and r and

Point_3 operator()(const Point_3& p, const Point_3& q, const Point_3& r, const Point_3& s)

that returns the centroid of the points p, q, r and s.

◆ Construct_circumcenter_3

A construction object that must provide the function operator:

Point_3 operator()(const Point_3& p, const Point_3& q, const Point_3& r)

that returns the center of the circle passing through the points p, q, and r.

Precondition
The points p, q, and r are not collinear.

◆ Construct_cross_product_vector_3

A construction object that must provide the function operator:

Vector_3 operator()(const Vector_3& v, const Vector_3& w)

that returns the cross product of the vectors v and w.

◆ Construct_midpoint_3

A construction object that must provide the function operator:

Point_3 operator()(const Point_3& p, const Point_3& q)

that returns the midpoint between the points p and q.

◆ Construct_vector_3

A construction object that must provide the function operator:

Vector_3 operator()(const Point_3& p, const Point_3& q)

that returns the vector through the points p and q.