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

CGAL 4.8 - 2D and 3D Linear Geometry Kernel

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Kernel_23/cartesian_converter.cpp
#include <CGAL/Simple_cartesian.h>
#include <CGAL/Quotient.h>
#include <CGAL/MP_Float.h>
#include <CGAL/Cartesian_converter.h>
typedef CGAL::Simple_cartesian<double> IK;
typedef CGAL::Simple_cartesian<CGAL::Quotient<CGAL::MP_Float> > EK;
typedef CGAL::Cartesian_converter<IK,EK> IK_to_EK;
typedef CGAL::Cartesian_converter<EK,IK> EK_to_IK;
int main(){
IK::Triangle_3 t1(
IK::Point_3(0.,0.,0.),
IK::Point_3(1.,0.,-1.),
IK::Point_3(0.,1.,3.)
);
IK::Line_3 l1(
IK::Point_3(0.2,0.25,-7),
IK::Point_3(0.25,0.3,4)
);
IK_to_EK to_exact;
EK::Triangle_3 t2=to_exact(t1);
EK::Line_3 l2=to_exact(l1);
CGAL::cpp11::result_of<EK::Intersect_3(EK::Triangle_3, EK::Line_3)>::type
inter = CGAL::intersection(t2,l2);
// As we are sure that there IS an intersection
// and that the intersection IS a point
// we do not have to check for this, or put it in a try/catch
const EK::Point_3& exact_pt = boost::get<EK::Point_3>(*inter);
EK_to_IK to_inexact;
IK::Point_3 inexact_pt = to_inexact(exact_pt);
std::cout << inexact_pt << std::endl;
return 0;
}