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

CGAL 4.8 - 2D Regularized Boolean Set-Operations

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Boolean_set_operations_2/bezier_traits_adapter2.cpp
#include <CGAL/basic.h>
#ifndef CGAL_USE_CORE
#include <iostream>
int main()
{
std::cout << "Sorry, this example needs CORE ..." << std::endl;
return (0);
}
#else
#include <CGAL/Cartesian.h>
#include <CGAL/CORE_algebraic_number_traits.h>
#include <CGAL/Arr_Bezier_curve_traits_2.h>
#include <CGAL/Gps_traits_2.h>
#include <CGAL/Boolean_set_operations_2.h>
#include <CGAL/General_polygon_set_2.h>
#include <CGAL/Timer.h>
#include <fstream>
typedef CGAL::CORE_algebraic_number_traits Nt_traits;
typedef Nt_traits::Rational Rational;
typedef Nt_traits::Algebraic Algebraic;
typedef CGAL::Cartesian<Rational> Rat_kernel;
typedef CGAL::Cartesian<Algebraic> Alg_kernel;
typedef CGAL::Arr_Bezier_curve_traits_2<Rat_kernel, Alg_kernel, Nt_traits>
Traits_2;
typedef Rat_kernel::Point_2 Bezier_rat_point;
typedef Traits_2::Curve_2 Bezier_curve;
typedef Traits_2::X_monotone_curve_2 Bezier_X_monotone_curve;
typedef CGAL::Gps_traits_2<Traits_2> Bezier_traits;
typedef Bezier_traits::General_polygon_2 Bezier_polygon;
typedef Bezier_traits::General_polygon_with_holes_2 Bezier_polygon_with_holes;
typedef CGAL::General_polygon_set_2<Bezier_traits> Bezier_polygon_set;
typedef std::vector<Bezier_polygon> Bezier_polygon_vector;
Bezier_curve read_bezier_curve(std::istream& is, bool aDoubleFormat)
{
// Read the number of control points.
unsigned int n;
is >> n;
// Read the control points.
std::vector<Bezier_rat_point> ctrl_pts;
for (unsigned int k = 0; k < n; ++k) {
Bezier_rat_point p;
if (aDoubleFormat) {
double x, y;
is >> x >> y;
p = Bezier_rat_point(x,y);
}
else
is >> p;
if ((k == 0) || (ctrl_pts[k-1] != p))
ctrl_pts.push_back(p);
}
return Bezier_curve(ctrl_pts.begin(), ctrl_pts.end());
}
bool read_bezier(char const* aFileName, Bezier_polygon_set& rSet)
{
bool rOK = false;
std::ifstream in_file(aFileName);
if (in_file) {
try {
std::cout << "Reading " << aFileName << std::endl;
std::string format;
std::getline(in_file, format);
bool lDoubleFormat =
((format.length() >= 6) && (format.substr(0,6) == "DOUBLE"));
// Red the number of bezier polygon with holes
unsigned int n_regions;
in_file >> n_regions;
for (unsigned int r = 0; r < n_regions; ++r) {
Bezier_polygon_vector polygons;
// Read the number of bezier curves.
unsigned int n_boundaries;
in_file >> n_boundaries;
for (unsigned int b = 0; b < n_boundaries; ++b) {
// Read the number of bezier curves.
unsigned int n_curves;
in_file >> n_curves;
// Read the curves one by one, and construct the general polygon these
// curve form (the outer boundary and the holes inside it).
std::list<Bezier_X_monotone_curve> xcvs;
for (unsigned int k = 0; k < n_curves; ++k) {
// Read the current curve and subdivide it into x-monotone subcurves.
std::list<CGAL::Object> x_objs;
std::list<CGAL::Object>::const_iterator xoit;
Bezier_X_monotone_curve xcv;
Bezier_traits traits;
Bezier_traits::Make_x_monotone_2 make_x_monotone =
traits.make_x_monotone_2_object();
Bezier_curve B = read_bezier_curve(in_file, lDoubleFormat);
if (B.number_of_control_points() >= 2) {
make_x_monotone(B, std::back_inserter(x_objs));
for (xoit = x_objs.begin(); xoit != x_objs.end(); ++xoit) {
if (CGAL::assign(xcv, *xoit))
xcvs.push_back(xcv);
}
}
}
Bezier_polygon pgn(xcvs.begin(), xcvs.end());
CGAL::Orientation orient = pgn.orientation();
std::cout << " Orientation: " << orient << std::endl;
if (((b == 0) && (orient == CGAL::CLOCKWISE)) ||
((b > 0) && (orient == CGAL::COUNTERCLOCKWISE)))
{
std::cout << " Reversing orientation: " << std::endl;
pgn.reverse_orientation();
}
polygons.push_back(pgn);
}
if (polygons.size() > 0) {
Bezier_polygon_with_holes pwh(polygons.front());
if (polygons.size() > 1) {
Bezier_polygon_vector::const_iterator it;
for (it = CGAL::cpp11::next(polygons.begin());
it != polygons.end(); ++it)
pwh.add_hole(*it);
}
if (is_valid_polygon_with_holes(pwh, rSet.traits())) {
std::cout << " Inserting Bezier polygon with holes comprising "
<< polygons.size() << " boundaries in total into set."
<< std::endl;
rSet.join(pwh);
std::cout << " Done." << std::endl;
}
else
std::cout << " **** Bezier polygon with holes is NOT VALID ****"
<< std::endl;
}
rOK = true;
}
}
catch(std::exception const& x) {
std::cout << "An exception ocurred during reading of Bezier polygon set:"
<< x.what() << std::endl;
}
catch(...) {
std::cout << "An exception ocurred during reading of Bezier polygon set."
<< std::endl;
}
}
return rOK;
}
// The main program.
int main(int argc, char* argv[])
{
const char* filename1 = (argc > 1) ? argv[1] : "char_g.bps";
const char* filename2 = (argc > 2) ? argv[2] : "char_m.bps";
const char* bop = (argc > 3) ? argv[3] : "i";
// Read the general polygons from the input files.
CGAL::Timer timer;
Bezier_polygon_set S1, S2;
timer.start();
if (! read_bezier(filename1, S1)) {
std::cerr << "Failed to read " << filename1 << " ..." << std::endl;
return 1;
}
if (! read_bezier(filename2, S2)) {
std::cerr << "Failed to read " << filename2 << " ..." << std::endl;
return 1;
}
timer.stop();
std::cout << "Constructed the input polygons in " << timer.time()
<< " seconds." << std::endl << std::endl;
std::cout << "Starting boolean operation..." << std::endl;
timer.reset();
timer.start();
try {
switch (bop[0]) {
case 'i': S1.intersection(S2); break;
case 'u': S1.join(S2); break;
}
}
catch(std::exception const& x) {
std::cout << "An exception occurred during the Boolean operation:"
<< x.what() << std::endl;
}
catch(...) {
std::cout << "An exception occurred during the Boolean operation."
<< std::endl;
}
timer.stop();
std::cout << "The " << ( bop[0] == 'i' ? "intersection" : "union" )
<< " computation took "
<< timer.time() << " seconds." << std::endl;
return 0;
}
#endif