CGAL 6.2 - Geometric Object Generators: CGAL::Random_points_on_sphere_3< Point_3, Creator > Struct Template Reference

CGAL 6.2 - Geometric Object Generators

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CGAL::Random_points_on_sphere_3< Point_3, Creator > Struct Template Reference

`#include <CGAL/point_generators_3.h>`

## Definition

template<typename Point_3, typename Creator>
struct CGAL::Random_points_on_sphere_3< Point_3, Creator >

The class `Random_points_on_sphere_3` is an input iterator creating points uniformly distributed on a sphere.

The default `Creator` is `Creator_uniform_3<Kernel_traits<Point_3>::Kernel::RT,Point_3>`. The generated points are computed using floating point arithmetic, whatever the Kernel is, thus they are on the circle/sphere only up to rounding errors.

Is model of
  `InputIterator`
  `PointGenerator`

See also
  `CGAL::Random_points_on_circle_2<Point_2, Creator>`
  `CGAL::Random_points_in_cube_3<Point_3, Creator>`
  `CGAL::Random_points_in_sphere_3<Point_3, Creator>`

## 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

## Function
| Random_points_on_sphere_3 (double r=1.0, Random &rnd=get_default_random())
| creates an input iterator `g` generating points of type `Point_3` uniformly distributed on the boundary of a sphere with radius \( r\), i.e. \( |*g| == r\) .

## Constructor & Destructor Documentation

## ◆ Random_points_on_sphere_3()

template<typename Point_3 , typename Creator >

CGAL::Random_points_on_sphere_3< Point_3, Creator >::Random_points_on_sphere_3 | ( | double | r = `1.0`,
|  | Random & | rnd = `get_default_random()`
| ) |  |

creates an input iterator `g` generating points of type `Point_3` uniformly distributed on the boundary of a sphere with radius \( r\), i.e. \( |*g| == r\) .

Two random numbers are needed from `rnd` for each point.