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CGAL 4.7 - Geometric Object Generators
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CGAL::Random_points_in_triangle_3< Point_3, Creator > Class Template Reference

#include <CGAL/point_generators_3.h>

Definition

The class Random_points_in_triangle_3 is an input iterator creating points uniformly distributed inside a 3D triangle.

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_disc_2<Point_2, Creator>
CGAL::Random_points_in_cube_3<Point_3, Creator>
CGAL::Random_points_in_tetrahedron_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_triangle_3 (Point_3 &p, Point_3 &q, Point_3 &r, Random &rnd=default_random)
 Creates an input iterator g generating points of type Point_3 uniformly distributed inside the 3D 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_3 (Triangle_3 &t, Random &rnd=default_random)
 Creates an input iterator g generating points of type Point_3 uniformly distributed inside a 3D 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

template<typename Point_3 , typename Creator >
typedef std::ptrdiff_t CGAL::Random_points_in_triangle_3< Point_3, Creator >::difference_type
template<typename Point_3 , typename Creator >
typedef std::input_iterator_tag CGAL::Random_points_in_triangle_3< Point_3, Creator >::iterator_category
template<typename Point_3 , typename Creator >
typedef const Point_3* CGAL::Random_points_in_triangle_3< Point_3, Creator >::pointer
template<typename Point_3 , typename Creator >
typedef const Point_3& CGAL::Random_points_in_triangle_3< Point_3, Creator >::reference
template<typename Point_3 , typename Creator >
typedef Point_3 CGAL::Random_points_in_triangle_3< Point_3, Creator >::value_type

Constructor & Destructor Documentation

template<typename Point_3 , typename Creator >
CGAL::Random_points_in_triangle_3< Point_3, Creator >::Random_points_in_triangle_3 ( Point_3 &  p,
Point_3 &  q,
Point_3 &  r,
Random &  rnd = default_random 
)

Creates an input iterator g generating points of type Point_3 uniformly distributed inside the 3D 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.

template<typename Point_3 , typename Creator >
CGAL::Random_points_in_triangle_3< Point_3, Creator >::Random_points_in_triangle_3 ( Triangle_3 &  t,
Random &  rnd = default_random 
)

Creates an input iterator g generating points of type Point_3 uniformly distributed inside a 3D 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.