\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 4.11 - Geometric Object Generators
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CGAL::Random_points_on_sphere_d< Point_d > Class Template Reference

#include <CGAL/point_generators_d.h>

Definition

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

The generated points are computed using floating point arithmetic, whatever the Kernel is, thus they are on the 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_on_sphere_3<Point_3, Creator>
CGAL::Random_points_in_cube_d<Point_d>
CGAL::Random_points_in_ball_d<Point_d>
Examples:
Generator/sphere_d.cpp.

Types

typedef std::input_iterator_tag iterator_category
 
typedef Point_d value_type
 
typedef std::ptrdiff_t difference_type
 
typedef const Point_d * pointer
 
typedef const Point_d & reference
 

Operations

 Random_points_on_sphere_d (int dim, double r, Random &rnd=get_default_random())
 \( g\) is an input iterator creating points of type Point_d uniformly distributed on a sphere in dimension \( dim\) with radius \( r\), i.e. \( |*g| == r\) . More...
 

Constructor & Destructor Documentation

template<typename Point_d>
CGAL::Random_points_on_sphere_d< Point_d >::Random_points_on_sphere_d ( int  dim,
double  r,
Random rnd = get_default_random() 
)

\( g\) is an input iterator creating points of type Point_d uniformly distributed on a sphere in dimension \( dim\) with radius \( r\), i.e. \( |*g| == r\) .

\( 2\cdot dim\) random numbers are needed from rnd for each point.