CGAL::Random_points_in_tetrahedron_3< Point_3, Creator > Class Template Reference

#include <CGAL/point_generators_3.h>

Definition

template<typename Point_3, typename Creator>
class CGAL::Random_points_in_tetrahedron_3< Point_3, Creator >

The class Random_points_in_tetrahedron_3 is an input iterator creating points uniformly distributed inside a tetrahedron.

The default Creator is Creator_uniform_3<Kernel_traits<Point_3>::Kernel::RT,Point_3>.

Is model of

InputIterator

PointGenerator

See also

CGAL::Random_points_on_segment_3<Point_3, Creator>

CGAL::Random_points_in_cube_3<Point_3, Creator>

CGAL::Random_points_in_triangle_3<Point_3, Creator>

CGAL::Random_points_on_sphere_3<Point_3, Creator>

Examples

Generator/random_points_tetrahedron_and_triangle_3.cpp.

Types
typedef std::input_iterator_tag	iterator_category
typedef Point_3	value_type
typedef std::ptrdiff_t	difference_type
typedef const Point_3 *	pointer
typedef const Point_3 &	reference
	Random_points_in_tetrahedron_3 (Point_3 &p, Point_3 &q, Point_3 &r, Point_3 &s, Random &rnd=get_default_random())
	Creates an input iterator g generating points of type Point_3 uniformly distributed inside the tetrahedron with vertices \( p, q, r \) and \( s \), i.e., \(*g = \alpha p + \beta q + \gamma r + \delta s \), for some \( \alpha, \beta, \gamma, \delta \in [0, 1] \) and \( \alpha + \beta + \gamma + \delta = 1 \).
	Random_points_in_tetrahedron_3 (Tetrahedron_3 &t, Random &rnd=get_default_random())
	Creates an input iterator g generating points of type Point_3 uniformly distributed inside a tetrahedron \(t\) with vertices \( p, q, r \) and \( s \), i.e., \(*g = \alpha p + \beta q + \gamma r + \delta s \), for some \( \alpha, \beta, \gamma, \delta \in [0, 1] \) and \( \alpha + \beta + \gamma + \delta = 1 \).

Member Typedef Documentation

difference_type

template<typename Point_3 , typename Creator >

typedef std::ptrdiff_t CGAL::Random_points_in_tetrahedron_3< Point_3, Creator >::difference_type

iterator_category

template<typename Point_3 , typename Creator >

typedef std::input_iterator_tag CGAL::Random_points_in_tetrahedron_3< Point_3, Creator >::iterator_category

pointer

template<typename Point_3 , typename Creator >

typedef const Point_3* CGAL::Random_points_in_tetrahedron_3< Point_3, Creator >::pointer

reference

template<typename Point_3 , typename Creator >

typedef const Point_3& CGAL::Random_points_in_tetrahedron_3< Point_3, Creator >::reference

value_type

template<typename Point_3 , typename Creator >

typedef Point_3 CGAL::Random_points_in_tetrahedron_3< Point_3, Creator >::value_type

Constructor & Destructor Documentation

Random_points_in_tetrahedron_3() [1/2]

template<typename Point_3 , typename Creator >

CGAL::Random_points_in_tetrahedron_3< Point_3, Creator >::Random_points_in_tetrahedron_3	(	Point_3 &	p,
		Point_3 &	q,
		Point_3 &	r,
		Point_3 &	s,
		Random &	rnd = get_default_random()
	)

Creates an input iterator g generating points of type Point_3 uniformly distributed inside the tetrahedron with vertices \( p, q, r \) and \( s \), i.e., \(*g = \alpha p + \beta q + \gamma r + \delta s \), for some \( \alpha, \beta, \gamma, \delta \in [0, 1] \) and \( \alpha + \beta + \gamma + \delta = 1 \).

Three random numbers are needed from rnd for each point.

Random_points_in_tetrahedron_3() [2/2]

template<typename Point_3 , typename Creator >

CGAL::Random_points_in_tetrahedron_3< Point_3, Creator >::Random_points_in_tetrahedron_3	(	Tetrahedron_3 &	t,
		Random &	rnd = get_default_random()
	)

Creates an input iterator g generating points of type Point_3 uniformly distributed inside a tetrahedron \(t\) with vertices \( p, q, r \) and \( s \), i.e., \(*g = \alpha p + \beta q + \gamma r + \delta s \), for some \( \alpha, \beta, \gamma, \delta \in [0, 1] \) and \( \alpha + \beta + \gamma + \delta = 1 \).

Three random numbers are needed from rnd for each point.