CGAL 6.2 - Geometric Object Generators

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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

## Functions
| 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 \( \alpha + \beta + \gamma = 1 \).

## 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.