CGAL 6.2 - 2D Arrangements: Arrangement_on_surface_2/polycurve_circular_arc.cpp

CGAL 6.2 - 2D Arrangements

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Arrangement_on_surface_2/polycurve_circular_arc.cpp
// Constructing an arrangement of polycurves.
#include <CGAL/config.h>
#ifndef CGAL_USE_CORE
#include <iostream>
int main() {
std::cout << "Sorry, this example needs CORE ...\n";
return 0;
}
#else
#include <vector>
#include <CGAL/CORE_algebraic_number_traits.h>
#include <CGAL/Arr_polycurve_traits_2.h>
#include "arr_circular.h"
#include "arr_print.h"
using Polycurve_traits = CGAL::Arr_polycurve_traits_2<Traits>;
using X_monotone_polycurve = Polycurve_traits::X_monotone_curve_2;
using Polycurve = Polycurve_traits::Curve_2;
using Circle_2 = Kernel::Circle_2;
using Polycurve_circ_arc_arrangment = CGAL::Arrangement_2<Polycurve_traits>;
int main() {
Polycurve_traits traits;
auto ctr_curve = traits.construct_curve_2_object();
auto ctr_xcurve = traits.construct_x_monotone_curve_2_object();
//Containers to store conic curves that will be used to create polycurve.
std::vector<Curve> curves;
std::vector<X_monotone_curve> x_curves;
// Create a circular arc of the circle, directed clockwise from
// (-1, 0) to (1, 0) centered at (0,0). Note that we orient the
// supporting circle accordingly.
Rational_point c1(0, 0);
Point s1(Number_type(-1), Number_type(0));
Point t1(Number_type(1), Number_type(0));
Curve circ_arc1(c1, 1, CGAL::CLOCKWISE, s1, t1);
curves.push_back(circ_arc1);
// Create a circular arc of the unit circle, directed clockwise from
// (1, 0) to (3, 0) centered at (3,0). Note that we orient the
// supporting circle accordingly.
Rational_point c2(3, 0);
Point s2(Number_type(1), Number_type(0));
Point t2(Number_type(5), Number_type(0));
Curve circ_arc2(c2, 2, CGAL::CLOCKWISE, s2, t2);
curves.push_back(circ_arc2);
// Create polycurve
Polycurve polycurve_1 = ctr_curve(curves.begin(), curves.end());
// Empty the vector in order to create another polycurve.
curves.clear();
// Create a circular arc of the circle, directed clockwise from
// (-10, 13) to (-7, 10) centered at (-10,10). Note that we orient the
// supporting circle accordingly.
Rational_point c3(-10, 10);
Point s3(Number_type(-10), Number_type(13));
Point t3(Number_type(-7), Number_type(10));
Curve circ_arc3(c3, 3, CGAL::CLOCKWISE, s3, t3);
curves.push_back(circ_arc3);
Rational_point c4(-20, 10);
Point s4(Number_type(-7), Number_type(10));
Point t4(Number_type(-20), Number_type(23));
Curve circ_arc4(c4, 13, CGAL::CLOCKWISE, s4, t4);
curves.push_back(circ_arc4);
Rational_point c5(-20, 25);
Point s5(Number_type(-20), Number_type(23));
Point t5(Number_type(-20), Number_type(27));
Curve circ_arc5(c5, 2, CGAL::CLOCKWISE, s5, t5);
curves.push_back(circ_arc5);
Polycurve polycurve_2 = ctr_curve(curves.begin(), curves.end());
//circle to be used by x-monotone polycurve
Rational_point circle_center1(Number_type(10), Number_type(10));
Circle_2 circ_1(circle_center1, 4, CGAL::CLOCKWISE);
Point s6(Number_type(8), Number_type(10));
Point t6(Number_type(12), Number_type(10));
X_monotone_curve xc1(circ_1, s6, t6, CGAL::CLOCKWISE);
x_curves.push_back(xc1);
Rational_point circle_center2(Number_type(13), Number_type(10));
Circle_2 circ_2(circle_center2, 1, CGAL::CLOCKWISE);
Point s7(Number_type(12), Number_type(10));
Point t7(Number_type(14), Number_type(10));
X_monotone_curve xc2(circ_2, s7, t7, CGAL::CLOCKWISE);
x_curves.push_back(xc2);
//create x-monotone polycurve
X_monotone_polycurve x_polycurve_1 =
ctr_xcurve(x_curves.begin(), x_curves.end());
// Insert polycurves to Arrangement and print.
Polycurve_circ_arc_arrangment polycurve_arrangment(&traits);
insert(polycurve_arrangment, polycurve_1);
insert(polycurve_arrangment, polycurve_2);
insert(polycurve_arrangment, x_polycurve_1);
std::cout << "Arrangement Statistics:\n";
print_arrangement(polycurve_arrangment);
return 0;
}
#endif
CGAL::Arr_polycurve_traits_2
Note: The SubcurveTraits_2 can comprise of Line_segments, Conic_arcs, Circular_arc,...
Definition: Arr_polycurve_traits_2.h:89
CGAL::Arrangement_2
Definition: Arrangement_2.h:57
Kernel::Circle_2
CGAL::CLOCKWISE
const CGAL::Orientation CLOCKWISE