#include "numrep1.h"
#include <CGAL/Plane_3.h>
#include <CGAL/Line_3.h>
#include <CGAL/intersection_3_1.h>
#include "numrep2.h"

using std::cout;
using std::cin;

typedef CGAL::Plane_3<TestR> Plane;
typedef CGAL::Ray_3<TestR> Ray;
typedef CGAL::Point_3<TestR> Point;
typedef CGAL::Direction_3<TestR> Direction;


bool read_data(Plane &pl, Ray &ray)
{
    randomint ri;
    int a, b, c, d, w;
    cin >> a >> b >> c >> d;
    if (!cin)
	return false;
    w = ri.next();
    pl = Plane(a*w, b*w, c*w, d*w);
    cin >> a >> b >> c;
    if (!cin)
	return false;
    w = ri.next();
    Point p1(a*w, b*w, c*w, w);
    cin >> a >> b >> c;
    if (!cin)
	return false;
    w = ri.next();
    Point p2(a*w, b*w, c*w, w);
    ray = Ray(p1, p2);
    return true;
}

void write_point(const Point & pt)
{
    double xd = CGAL::to_double(pt.x());
    double yd = CGAL::to_double(pt.y());
    double zd = CGAL::to_double(pt.z());
    // force 0 to be positive zero.
    if (xd == 0.0)
	xd = 0.0;
    if (yd == 0.0)
	yd = 0.0;
    if (zd == 0.0)
	zd = 0.0;
    cout << xd <<' '<< yd <<' '<< zd << '\n';
}


int main()
{
    Plane pl;
    Point pt;
    Ray ray;
    CGAL::Object result;
    
    if (!read_data(pl, ray))
	return 1;
    result = CGAL::intersection(pl, ray);
    if (result.is_empty()) {
	if (CGAL::do_intersect(pl, ray)) {
	    cout << "do_intersect is inconsistent with intersection result.\n";
	    return 1;
	}
	cout << "No intersection.\n";
	return 0;
    }
    if (!CGAL::do_intersect(pl, ray)) {
	cout << "do_intersect is inconsistent with intersection result.\n";
	return 1;
    }
    if (CGAL::assign(pt, result)) {
	cout << "Point intersection.\n";
	write_point(pt);
	return 0;
    } else {
	if (CGAL::assign(ray, result)) {
	    cout << "Ray intersection.\n";
	    return 0;
	}
    }
    cout << "Unknown result.\n";
    return 1;
}