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CGAL 4.10 - Geometric Object Generators
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CGAL::Random_points_in_tetrahedron_3< Point_3, Creator > Class Template Reference

#include <CGAL/point_generators_3.h>

Definition

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::cpp11::copy_n()
CGAL::Counting_iterator
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>
std::random_shuffle
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 \( \alpha + \beta + \gamma + \delta = 1 \). More...
 
 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 \( \alpha + \beta + \gamma + \delta = 1 \). More...
 

Constructor & Destructor Documentation

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.

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.