CGAL 5.1 - Geometric Object Generators
CGAL::Random_points_in_triangle_2< Point_2, Creator > Class Template Reference

#include <CGAL/point_generators_2.h>

Definition

template<typename Point_2, typename Creator>
class CGAL::Random_points_in_triangle_2< Point_2, Creator >

The class Random_points_in_triangle_2 is an input iterator creating points uniformly distributed inside a triangle.

The default Creator is Creator_uniform_2<Kernel_traits<Point_2>Kernel::RT,Point_2>.

Is Model Of:

InputIterator

PointGenerator

See also
CGAL::Points_on_segment_2<Point_2>
CGAL::Random_points_in_disc_2<Point_2, Creator>
CGAL::Random_points_on_segment_2<Point_2, Creator>
CGAL::Random_points_on_square_2<Point_2, Creator>
CGAL::Random_points_in_cube_3<Point_3, Creator>
CGAL::Random_points_in_triangle_3<Point_2, Creator>
CGAL::Random_points_in_tetrahedron_3<Point_2, Creator>
Examples
Generator/random_points_triangle_2.cpp.

Types

typedef std::input_iterator_tag iterator_category
 
typedef Point_2 value_type
 
typedef std::ptrdiff_t difference_type
 
const typedef Point_2pointer
 
const typedef Point_2reference
 
 Random_points_in_triangle_2 (Point_2 &p, Point_2 &q, Point_2 &r, Random &rnd=get_default_random())
 Creates an input iterator g generating points of type Point_2 uniformly distributed inside the triangle with vertices \( p, q \) and \( r \), i.e., \(*g = \alpha p + \beta q + \gamma r \), for some \( \alpha, \beta, \gamma \in [0, 1] \) and \( \alpha + \beta + \gamma = 1 \). More...
 
 Random_points_in_triangle_2 (Triangle_2 &t, Random &rnd=get_default_random())
 Creates an input iterator g generating points of type Point_2 uniformly distributed inside a triangle \(t\) with vertices \( p, q \) and \( r \), i.e., \(*g = \alpha p + \beta q + \gamma r \), for some \( \alpha, \beta, \gamma \in [0, 1] \) and \( \alpha + \beta + \gamma = 1 \). More...
 

Member Typedef Documentation

◆ difference_type

template<typename Point_2 , typename Creator >
typedef std::ptrdiff_t CGAL::Random_points_in_triangle_2< Point_2, Creator >::difference_type

◆ iterator_category

template<typename Point_2 , typename Creator >
typedef std::input_iterator_tag CGAL::Random_points_in_triangle_2< Point_2, Creator >::iterator_category

◆ value_type

template<typename Point_2 , typename Creator >
typedef Point_2 CGAL::Random_points_in_triangle_2< Point_2, Creator >::value_type

Constructor & Destructor Documentation

◆ Random_points_in_triangle_2() [1/2]

template<typename Point_2 , typename Creator >
CGAL::Random_points_in_triangle_2< Point_2, Creator >::Random_points_in_triangle_2 ( Point_2 p,
Point_2 q,
Point_2 r,
Random rnd = get_default_random() 
)

Creates an input iterator g generating points of type Point_2 uniformly distributed inside the triangle with vertices \( p, q \) and \( r \), i.e., \(*g = \alpha p + \beta q + \gamma r \), for some \( \alpha, \beta, \gamma \in [0, 1] \) and \( \alpha + \beta + \gamma = 1 \).

Two random numbers are needed from rnd for each point.

◆ Random_points_in_triangle_2() [2/2]

template<typename Point_2 , typename Creator >
CGAL::Random_points_in_triangle_2< Point_2, Creator >::Random_points_in_triangle_2 ( Triangle_2 t,
Random rnd = get_default_random() 
)

Creates an input iterator g generating points of type Point_2 uniformly distributed inside a triangle \(t\) with vertices \( p, q \) and \( r \), i.e., \(*g = \alpha p + \beta q + \gamma r \), for some \( \alpha, \beta, \gamma \in [0, 1] \) and \( \alpha + \beta + \gamma = 1 \).

Two random numbers are needed from rnd for each point.

Member Data Documentation

◆ pointer

template<typename Point_2 , typename Creator >
const typedef Point_2* CGAL::Random_points_in_triangle_2< Point_2, Creator >::pointer

◆ reference

template<typename Point_2 , typename Creator >
const typedef Point_2& CGAL::Random_points_in_triangle_2< Point_2, Creator >::reference