\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 4.12 - Geometric Object Generators
List of all members
CGAL::Random_points_on_sphere_3< Point_3, Creator > Class Template Reference

#include <CGAL/point_generators_3.h>

Definition

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::cpp11::copy_n()
CGAL::Counting_iterator
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>
std::random_shuffle

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_on_sphere_3 (double r, 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. \( |*g| == r\) . More...
 

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,
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.