CGAL 4.7 - 3D Spherical Geometry Kernel: Circular_kernel_3/functor_has_on_3.cpp

\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)

CGAL 4.7 - 3D Spherical Geometry Kernel

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Circular_kernel_3/functor_has_on_3.cpp
#include <CGAL/Exact_spherical_kernel_3.h>
#include <CGAL/Random.h>
typedef CGAL::Exact_spherical_kernel_3 Spherical_k;
typedef CGAL::Point_3<Spherical_k> Point_3;
typedef CGAL::Circular_arc_3<Spherical_k> Circular_arc_3;
int main()
{
int n = 0;
Circular_arc_3 c = Circular_arc_3(Point_3(10,10,0), Point_3(5,5,5), Point_3(0, 0, 0));
for(int i = 0; i <= 10; i++) {
for(int j = 0; j <= 10; j++) {
for(int k = 0; k <= 10; k++) {
Point_3 p = Point_3(i, j, k);
if(Spherical_k().has_on_3_object()(c,p)) {
n++;
std::cout << "(" << i << "," << j << "," << k << ")" << std::endl;
}
}
}
}
std::cout << "There are " << n << " points in the "
<< "[0,..,10]x[0,..,10]x[0,...,10] "
<< "grid on the circular" << std::endl
<< " arc defined by the points (10,10,0), (5,5,5), (0,0,0)"
<< std::endl << "See the points above." << std::endl;
return 0;
}