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
typedef const Point_2 *	pointer
typedef const Point_2 &	reference
	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 \( \alpha + \beta + \gamma = 1 \).
	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 \( \alpha + \beta + \gamma = 1 \).

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

pointer

template<typename Point_2 , typename Creator >

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

reference

template<typename Point_2 , typename Creator >

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

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.