bool operator<(const Segment_2& a, const Segment_2& b)
{
if (a.source() == b.source()) {
return a.target() < b.target();
}
return a.source() < b.source();
}
std::string pp(const Segment_2& segment)
{
std::stringstream out;
out << std::setprecision(pp_precision);
out << "[" << pp(segment.source()) << ", " << pp(segment.target()) << "]";
return out.str();
}
CONTOURTILER_BEGIN_NAMESPACE
Segment_2 lexicographically_ordered(const Segment_2& s)
{
if (CGAL::lexicographically_xy_smaller(s.source(), s.target()))
return s;
return s.opposite();
}
void handleDual(Segment_2 s, std::vector<PointList>& polylines)
{
Point_2 ss = s.source();
Point_2 st = s.target();
PointList points;
points.push_back(ss);
points.push_back(st);
polylines.push_back(points);
}
std::string pp_id(const Segment_2& segment)
{
std::stringstream out;
size_t a = segment.source().id();
size_t b = segment.target().id();
if (a > b)
swap(a, b);
out << a << "--" << b;
return out.str();
}
void handleDual(Segment_2 s, std::vector<PointList>& polylines)
{
Point_2 ss = s.source();
Point_2 st = s.target();
std::cerr << "segment " << ss << " " << st << std::endl; // str << s;
PointList points;
points.push_back(ss);
points.push_back(st);
polylines.push_back(points);
}
/// Returns true if the segment crosses a boundary line of the polygon.
/// It is not enough for the segment to simply intersect the boundary
/// line -- it must cross it such that the segment extends to both inside
/// and outside of the boundary of the polygon.
bool intersects_proper(const Segment_2& segment, const Polygon_2& polygon)
{
static log4cplus::Logger logger = log4cplus::Logger::getInstance("tiler.intersects_proper");
Point_2 seg_pts[] = { segment.source(), segment.target() };
// Get intersection points between segment and polygon
LOG4CPLUS_TRACE(logger, "Doing a line sweep: " << pp(segment));
list<Segment_2> segments(polygon.edges_begin(), polygon.edges_end());
segments.push_back(segment);
list<Point_2> points;
get_intersection_points(segments.begin(), segments.end(), back_inserter(points), true, false);
CGAL::Bounded_side side1 = polygon.bounded_side(seg_pts[0]);
CGAL::Bounded_side side2 = polygon.bounded_side(seg_pts[1]);
LOG4CPLUS_TRACE(logger, "Checking with cross checker");
if (points.size() == 0)
return false;
Cross_checker checker;
checker.add(side1);
checker.add(side2);
if (checker.crosses())
return true;
if (points.size() == 1)
return false;
points.push_back(seg_pts[0]);
points.push_back(seg_pts[1]);
points.sort();
list<Point_2>::iterator it0 = points.begin();
list<Point_2>::iterator it1 = it0;
++it1;
while (it1 != points.end())
{
const Point_2& p0 = *it0;
const Point_2& p1 = *it1;
// find an intermediate point and test for where it is
Point_2 midpoint((p0.x()+p1.x())/2.0, (p0.y()+p1.y())/2.0);
checker.add(polygon.bounded_side(midpoint));
if (checker.crosses())
return true;
++it0;
++it1;
}
return false;
}
void handleDual(Ray_2 r, Iso_rectangle_2 crect, std::vector<PointList>& polylines)
{
Object_2 o = CGAL::intersection(crect, r);
Segment_2 seg;
Point_2 pnt;
if (assign(seg, o)) {
Point_2 ss = seg.source();
Point_2 st = seg.target();
PointList points;
points.push_back(ss);
points.push_back(st);
polylines.push_back(points);
} else if (assign(pnt, o)){
// no use for points
}
}
// 2D voronoi cell area
double CGAL_Delaunay2_cell_area(Delaunay2* obj, Del2D_Vertex_handle v) {
Delaunay2::Edge_circulator ec=obj->incident_edges(v),done(ec);
if (ec != 0) {
double area=0,tmp=0;
Point_2 p=v->point();
Segment_2 segment;
do {
CGAL::Object o = obj->dual(ec);
if(CGAL::assign(segment,o)) {
tmp = (CGAL::area(p,segment.source(),segment.target()));
//printf("area tmp=%lf\n",tmp);
area += tmp;
} //else return -1;
} while(++ec != done);
return area;
}
return -1;
}
void handleDual(Line_2 l, Iso_rectangle_2 crect, std::vector<PointList>& polylines)
{
std::cerr << "line" << std::endl; //str << l;
Object_2 o = CGAL::intersection(l, crect);
Segment_2 seg;
Point_2 pnt;
if (assign(seg, o)) {
std::cerr << "line -> segment" << std::endl;
Point_2 ss = seg.source();
Point_2 st = seg.target();
PointList points;
points.push_back(ss);
points.push_back(st);
polylines.push_back(points);
} else if (assign(pnt, o)){
std::cerr << "line -> point" << std::endl;
// no use for points
}
}
void handleDual(Ray_2 r, Iso_rectangle_2 crect, std::vector<PointList>& polylines)
{
std::cerr << "ray" << std::endl; // str << r;
Object_2 o = CGAL::intersection(crect, r);
Segment_2 seg;
Point_2 pnt;
if (assign(seg, o)) {
std::cerr << "ray -> segment" << std::endl;
Point_2 ss = seg.source();
Point_2 st = seg.target();
PointList points;
points.push_back(ss);
points.push_back(st);
polylines.push_back(points);
} else if (assign(pnt, o)){
std::cerr << "ray -> point" << std::endl;
// no use for points
} else {
std::cerr << "ray -> ?" << std::endl;
std::cerr << r.source() << " " << r.point(1) << std::endl;
}
}
int voronoi_tessellation(TreeNode &tn)
{
assert(tn.region.is_convex()); // tn.regionは凸であることを前提
assert(tn.children.size() >= 2);
PD2 pd2;
std::list<TreeNode>::iterator cit;
for (cit = tn.children.begin(); cit != tn.children.end(); ++cit) {
cit->face = pd2.insert(cit->p);
cit->region = Polygon_2(); // 全部初期化しておく
}
assert( pd2.is_valid() );
PD2::Delaunay_graph dg = pd2.dual();
PD2::Delaunay_graph::Finite_vertices_iterator vit;
for (vit = dg.finite_vertices_begin();
vit != dg.finite_vertices_end(); ++vit) {
// tn.regionとintersectする。Ray/Lineは切り取られてSegmentとなる。
PD2::Delaunay_graph::Edge_circulator eci = dg.incident_edges(vit);
PD2::Delaunay_graph::Edge_circulator ece = eci;
std::set<Point_2> point_set;
if (eci != NULL) {
Polygon_2::Vertex_iterator pvit;
do {
Line_2 l;
Ray_2 r;
Segment_2 s;
if (!dg.is_infinite(eci)) {
CGAL::Object o = dg.dual(eci);
if (CGAL::assign(s, o)) {
// std::cout << "Segment: (" << s.source().x() << ", " << s.source().y() << ") (" << s.target().x() << ", " << s.target().y() << ")" << std::endl;
if (tn.region.bounded_side(s.source()) != CGAL::ON_UNBOUNDED_SIDE) {
point_set.insert(s.source());
}
if (tn.region.bounded_side(s.target()) != CGAL::ON_UNBOUNDED_SIDE) {
point_set.insert(s.target());
}
Polygon_2::Edge_const_iterator eit;
for (eit = tn.region.edges_begin(); eit != tn.region.edges_end(); ++eit) {
CGAL::Object obj = CGAL::intersection(*eit, s);
Point_2 p;
Segment_2 seg;
if (CGAL::assign(p, obj)) {
point_set.insert(p);
} else if (CGAL::assign(seg, obj)) {
assert(false);
}
}
}
if (CGAL::assign(r, o)) {
// std::cout << "Ray: (" << r.source().x() << ", " << r.source().y() << ") " << r << std::endl;
if (tn.region.bounded_side(r.source()) != CGAL::ON_UNBOUNDED_SIDE) {
point_set.insert(r.source());
}
Polygon_2::Edge_const_iterator eit;
for (eit = tn.region.edges_begin(); eit != tn.region.edges_end(); ++eit) {
CGAL::Object obj = CGAL::intersection(*eit, r);
Point_2 p;
Segment_2 seg;
if (CGAL::assign(p, obj)) {
point_set.insert(p);
} else if (CGAL::assign(seg, obj)) {
assert(false);
}
}
}
if (CGAL::assign(l, o)) {
// std::cout << "Line: (" << l.point(0).x() << ", " << l.point(0).y() << ") (" << l.direction().dx() << ", " << l.direction().dy() << ")" << std::endl;
Polygon_2::Edge_const_iterator eit;
for (eit = tn.region.edges_begin(); eit != tn.region.edges_end(); ++eit) {
CGAL::Object obj = CGAL::intersection(*eit, l);
Point_2 p;
Segment_2 seg;
if (CGAL::assign(p, obj)) {
point_set.insert(p);
} else if (CGAL::assign(seg, obj)) {
assert(false);
}
}
}
} // infinite
} while (++eci != ece);
// tn.regionのpolygon中の点で、領域内のものをぜんぶ入れる
for (pvit = tn.region.vertices_begin();
pvit != tn.region.vertices_end();
++pvit) {
/*
// NOTE: locateはちょっとバグってるみたい。
// 代わりに、距離が最短な点を探す。
// NOTE: バグってないかも。代替ロジックでも問題が出た。
PD2::Locate_result lr = pd2.locate(*pvit);
if (PD2::Vertex_handle *v = boost::get<PD2::Vertex_handle>(&lr)) {
// 交わってるはず
assert(false);
} elsentersection if (PD2::Halfedge_handle *e = boost::get<Halfedge_handle>(&lr)) {
// 交わってるはず
assert(false);
} else if (PD2::Face_handle *f = boost::get<Face_handle>(&lr)) {
// 今対象としている点の領域だったら、追加
if ((*f)->dual()->point() == vit->point()) {
point_set.insert(*pvit);
}
}
*/
// tn.regionの頂点と子供の頂点とのpower distanceを
// すべて計算し、着目している子供に属するかを調べる
cit = tn.children.begin();
Weighted_point_2 cp = cit->p;
++cit;
for (; cit != tn.children.end(); ++cit) {
if (CGAL::compare_power_distance(cp, cit->p, *pvit)
== CGAL::LARGER) {
cp = cit->p;
}
}
if (cp == vit->point()) {
// std::cout << "RegionPoint: (" << pvit->x() << ", " << pvit->y() << ")" << std::endl;
point_set.insert(*pvit);
}
}
assert(point_set.size() != 1 && point_set.size() != 2);
}
// 対応する子供を見つける
for (cit = tn.children.begin(); cit != tn.children.end(); ++cit) {
if (vit->point() == cit->p) {
// 自前でのソートが面倒なのでconvex hullを求めてPolygonを作る。
CGAL::ch_graham_andrew(point_set.begin(), point_set.end(),
std::inserter(cit->region, cit->region.vertices_begin()));
assert(point_set.size() == 0 || cit->region.size() > 0);
assert(point_set.size() == cit->region.size()); // 頂点の数あってるはず
assert(cit->region.area() <= tn.region.area());
}
}
}
return 0;
}
Segment_3 project_3(const Segment_2& s)
{
return Segment_3(s.source().point_3(), s.target().point_3());
}
Segment_2 sorted(const Segment_2& s) {
if (s.source() > s.target()) {
return s.opposite();
}
return s;
}