// Dessine la couronne intérieure
std::vector<Point_3> DegradeAnObject::drawInsideImpactOnFacet(std::vector<Point_3> points, std::vector<Halfedge_handle> hhs, Facet f, int index) {
std::vector<Point_3> pts;
for(int i = 0 ; i < points.size() ; i++) {
int j;
if(i == points.size()-1) {
j = 0;
}
else {
j = i+1;
}
Vector_3 h(hhs[i]->opposite()->vertex()->point(), hhs[i]->vertex()->point());
Vector_3 g(hhs[j]->opposite()->vertex()->point(), hhs[j]->vertex()->point());
Vector_3 norm = getNormalOfFacet(f);
Vector_3 rh = normalizeVector(rotationVector(h, norm, M_PI/2));
Vector_3 rg = normalizeVector(rotationVector(g, norm, M_PI/2));
Vector_3 comb = 0.01*normalizeVector(rh+rg);
Point_3 newPoint = hhs[i]->vertex()->point() + comb;
Halfedge_handle hh = polys[index].split_vertex(hhs[j]->opposite(), hhs[i]);
hh->vertex()->point() = newPoint;
polys[index].split_facet(hh->opposite()->next()->next(), hh->opposite());
polys[index].split_facet(hh->next()->next(), hh);
pts.push_back(newPoint);
}
return pts;
}
// Place un point p sur la face fs, et relie p aux sommets de fs.
Halfedge_handle DegradeAnObject::putAPointOnAFacet(Point_3 p, int index) {
Facet fs;
getFacetFromPoint(p, fs, index);
Halfedge_handle h = polys[index].create_center_vertex(fs.halfedge());
h->vertex()->point() = p;
return h;
}
void flip_edge( Polyhedron& P, Halfedge_handle e) {
if ( e->is_border_edge())
return;
Halfedge_handle h = e->next();
P.join_facet( e);
P.split_facet( h, h->next()->next());
}
// Relie le premier et le dernier point
Halfedge_handle DegradeAnObject::joinFirstAndLast(Point_3 p1, Point_3 p2, int index, std::vector<Point_3> & pts) {
Halfedge_handle hh;
bool chk = false;
std::vector<Facet> fcts;
std::vector<int> indexes;
Halfedge_handle prevHalf;
Facet fs;
getFacetsFromPoint(p1, fcts, indexes);
for(int i = 0 ; i < fcts.size() ; i++) {
if(twoPointsOnTheFacet(p1, p2, fcts[i], index)) {
chk = true;
}
}
if(!chk) {
fcts.clear();
Segment_3 s(p1, p2);
getFacetsFromPoint(p2, fcts, indexes);
hh = getExteriorHalfedge(p2, s, fcts);
Halfedge_handle previousHalfedge = hh->next();
Halfedge_handle newEdge = addAndJoinNewPoint(p2, previousHalfedge, hh, s, index);
pts.push_back(newEdge->vertex()->point());
prevHalf = joinFirstAndLast(p1, newEdge->vertex()->point(), index, pts);
}
return prevHalf;
}
/**
* Trace up one face and modify h to be ready for the next trace.
*
* h must have the next face to be traced on its left, and its point must be the
* next point to be traced from.
*/
void trace_up_once(Halfedge_handle& h, TraceFlag& flag)
{
if (flag == TRACE_POINT) {
assert(!is_saddle(h->vertex()));
h = find_steepest_path(h->vertex());
}
Point_3 intersect_point = find_upslope_intersection(h, flag);
}
void print_endpoint(Halfedge_handle e, bool is_src) {
std::cout << "\t";
if ( is_src ) {
if ( e->has_source() ) std::cout << e->source()->point() << std::endl;
else std::cout << "point at infinity" << std::endl;
} else {
if ( e->has_target() ) std::cout << e->target()->point() << std::endl;
else std::cout << "point at infinity" << std::endl;
}
}
void smooth_border_vertices( Halfedge_handle e, OutputIterator out) {
CGAL_precondition( e->is_border());
// We know that the vertex at this edge is from the unrefined mesh.
// Get the locus vectors of the unrefined vertices in the neighborhood.
Vector v0 = e->prev()->prev()->opposite()->vertex()->point() -CGAL::ORIGIN;
Vector v1 = e->vertex()->point() - CGAL::ORIGIN;
Vector v2 = e->next()->next()->next()->vertex()->point() - CGAL::ORIGIN;
*out++ = CGAL::ORIGIN + (10.0 * v0 + 16.0 * v1 + v2) / 27.0;
*out++ = CGAL::ORIGIN + ( 4.0 * v0 + 19.0 * v1 + 4.0 * v2) / 27.0;
*out++ = CGAL::ORIGIN + ( v0 + 16.0 * v1 + 10.0 * v2) / 27.0;
}
//Description : Gives an area of the triangle which contain the halfedge_handle h
double Area_Facet_Triangle(const Halfedge_handle &h)
{
Point3d P = h->vertex()->point();
Point3d Q = h->next()->vertex()->point();
Point3d R = h->next()->next()->vertex()->point();
Vector PQ=Q-P;
//Vector PR=R-P; // MT
Vector QR=R-Q;
Vector normal = CGAL::cross_product(PQ,QR);
double area=0.5*sqrt(normal*normal);
return area;
}
//Description : Gives a normal vector of the triangle which contain the halfedge_handle h
Vector Triangle_Normal(const Halfedge_handle &h)
{
Point3d P = h->vertex()->point();
Point3d Q = h->next()->vertex()->point();
Point3d R = h->next()->next()->vertex()->point();
Vector PQ=Q-P;
//Vector PR=R-P; // MT
Vector QR=R-Q;
Vector normal = CGAL::cross_product(PQ,QR);
double length = std::sqrt(normal*normal);
if (length != 0.0)
normal = normal / length;
return normal;
}
void two_tetrahedrons()
{
Polyhedron a;
make_tetrahedron(a,
Point(1.0, 0.0, 0.0),
Point(2.0, 0.0, 0.0),
Point(1.5, 1.0, 0.0),
Point(1.5, .5, 10.0));
Polyhedron b;
make_tetrahedron(b,
Point(0.0, 0., .5),
Point(0.0, 0.0, 1.5),
Point(0.0, 1.0, 1.0),
Point(10.0, .5, 1.0));
if (a.is_pure_triangle())
std::cout << "a is pure triangle" << std::endl;
if (b.is_pure_triangle())
std::cout << "b is pure triangle" << std::endl;
Polyhedron &biggest = a.size_of_facets() > b.size_of_facets() ? a : b;
Polyhedron &smallest = a.size_of_facets() > b.size_of_facets() ? b : a;
std::list<std::list<boost::tuple<Facet_handle, Facet_handle, Segment> > > polylines;
{
std::list<boost::tuple<Facet_handle, Facet_handle, Segment> > intersections;
compute_intersections(biggest, smallest, std::back_inserter(intersections));
for (std::list<boost::tuple<Facet_handle, Facet_handle, Segment> >::iterator it = intersections.begin();
it != intersections.end(); it++)
{
{
Halfedge_handle h = it->get<0>()->halfedge();
Triangle t(h->vertex()->point(), h->next()->vertex()->point(), h->next()->next()->vertex()->point());
assert(t.has_on(it->get<2>().source()));
assert(t.has_on(it->get<2>().target()));
}
{
Halfedge_handle h = it->get<1>()->halfedge();
Triangle t(h->vertex()->point(), h->next()->vertex()->point(), h->next()->next()->vertex()->point());
assert(t.has_on(it->get<2>().source()));
assert(t.has_on(it->get<2>().target()));
}
}
sort_polylines<Polyhedron>(biggest, smallest, intersections, polylines);
}
std::list<std::vector<typename Polyhedron::Halfedge_handle> > intersection_list;
split_facets<Polyhedron, 0>(biggest, polylines, intersection_list);
//split_facets<Polyhedron, 1>(smallest, polylines);
}
// Dessine tous les points qui déterminent l'impact à réaliser, en plusieurs couronnes.
void DegradeAnObject::drawImpactOnFacet(Point_3 p, double ray, std::vector<Point_3> pts, Facet initFs, int index, int nbCouronnes) {
std::vector< std::vector<Point_3> > points;
std::vector<Point_3> tmp;
std::vector<Halfedge_handle> hhs;
Halfedge_handle hh;
hh = putAPointOnAFacet(pts[0], index);
tmp.push_back(hh->vertex()->point());
for(int i = 1 ; i < pts.size() ; i++) {
hh = joinTwoPoints(pts[i], pts[i-1], index, tmp);
}
joinFirstAndLast(pts[0], pts[pts.size()-1], index, tmp);
for(int i = 1 ; i < nbCouronnes ; i++) {
hhs = getHalfedgesOfPoints(tmp, index);
tmp = drawInsideImpactOnFacet(tmp, hhs, initFs, index);
points.push_back(tmp);
}
impactTheFacetArea(points, initFs, ray, index);
}
//Description :: Check if removal of this vertex would violate the manifold_property or not.
bool Check_Manifold_Property(Halfedge_handle h, const int &type,const int &valence)
{
bool check = false;
Halfedge_handle g = h;
int* Points_index = new int[valence];
// if valence is 3, no new edge is inserted, so always safe to remove.
if(valence == 3)
{
return false;
}
else
{
// Points_index[] contains all boundary vertices' indices (ordered in counterclockwise)
Points_index[0] = g->vertex()->Vertex_Number_S;
g = g->next(); // g points center vertex;
for(int i=1; i<valence; i++)
{
g = g->prev_on_vertex();// around the vertex in the counterclockwise way.
Points_index[i] = g->opposite()->vertex()->Vertex_Number_S;
}
// quadrangle
if (valence == 4)
{
if ((type == 5) || (type == 8))
{
g = h->opposite();
Halfedge_around_vertex_circulator Hvc = g->vertex_begin();
Halfedge_around_vertex_circulator Hvc_end = Hvc;
CGAL_For_all(Hvc,Hvc_end)
{
if (Hvc->opposite()->vertex()->Vertex_Number_S == Points_index[1])
check = true;
}
}
else if (( type == 6) || (type == 7))
{
g = h;
Halfedge_around_vertex_circulator Hvc = g->vertex_begin();
Halfedge_around_vertex_circulator Hvc_end = Hvc;
CGAL_For_all(Hvc,Hvc_end)
{
if (Hvc->opposite()->vertex()->Vertex_Number_S == Points_index[2])
check = true;;
}
}
void Convert ( OffSurface_mesh& off, char const* gts_name )
{
std::ofstream gts(gts_name);
if ( gts )
{
std::cout << "Writting " << gts_name << std::endl ;
gts << off.size_of_vertices() << " " << (off.size_of_halfedges()/2) << " " << off.size_of_facets() << std::endl ;
int vid = 1 ;
for ( Vertex_iterator vit = off.vertices_begin() ; vit != off.vertices_end() ; ++ vit )
{
Vertex_handle v = vit ;
gts << v->point().x() << " " << v->point().y() << " " << v->point().z() << std::endl ;
v->id() = vid ++ ;
}
int eid = 1 ;
for ( Edge_iterator eit = off.edges_begin(); eit != off.edges_end() ; ++ eit )
{
Halfedge_handle e = eit ;
Vertex_handle s = e->opposite()->vertex();
Vertex_handle t = e->vertex();
gts << s->id() << " " << t->id() << std::endl ;
e ->id() = eid ;
e->opposite()->id() = eid ;
++ eid ;
}
for ( Facet_iterator fit = off.facets_begin(); fit != off.facets_end() ; ++ fit )
{
Facet_handle f = fit ;
Halfedge_handle e0 = f->halfedge();
Halfedge_handle e1 = e0->next();
Halfedge_handle e2 = e1->next();
gts << e0->id() << " " << e1->id() << " " << e2->id() << std::endl ;
}
}
else std::cerr << "Unable to open output file: " << gts_name << std::endl ;
}
void Map_CreateWithLineData(
Pmwx& out_map,
const vector<Segment_2>& input_curves,
const vector<GIS_halfedge_data>& input_data)
{
DebugAssert(input_curves.size() == input_data.size());
out_map.clear();
int n;
vector<Curve_2> curves;
curves.resize(input_curves.size());
for(n = 0; n < input_curves.size(); ++n)
curves[n] = Curve_2(input_curves[n], n);
CGAL::insert(out_map, curves.begin(), curves.end());
for(Pmwx::Edge_iterator eit = out_map.edges_begin(); eit != out_map.edges_end(); ++eit)
{
DebugAssert(eit->curve().data().size() >= 1);
// CGAL maintains a lot of information for us that makes life easy:
// 1. The underlying curve of an edge is a sub-curve of the input curve - it is NEVER flipped. is_directed_right tells whether
// it is lex-right.*
// 2. Each half-edge's direction tells us if the half-edge is lex-right...strangely, "SMALLER" means lex-right.
// Putting these two things together, we can easily detect which of two half-edges is in the same vs. opposite direction of the input
// curve.
// * lex-right means lexicographically x-y larger...means target is to the right of source UNLESS it's vertical (then UP = true, down = false).
Halfedge_handle he = he_is_same_direction(eit) ? eit : eit->twin();
int cid = eit->curve().data().front();
DebugAssert(cid >= 0 && cid < input_data.size());
he->set_data(input_data[cid]);
// he->data().mDominant = true;
// he->twin()->data().mDominant = false;
// Do NOT leave the keys in the map...
eit->curve().data().clear();
}
}
virtual void after_split_edge (Halfedge_handle h1, Halfedge_handle h2)
{
std::string str = h1->data();
if (str.compare("") == 0)
str = h2->data();
if (str.compare("") == 0)
str = h1->twin()->data();
if (str.compare("") == 0)
str = h2->twin()->data();
h1->set_data(str);
h2->set_data(str);
h1->twin()->set_data(str);
h2->twin()->set_data(str);
}
Halfedge_handle DegradeAnObject::barycentricMesh(Facet fs, int index) {
std::vector<Point_3> points;
Halfedge_handle hh = fs.halfedge();
Point_3 p1 = hh->vertex()->point();
points.push_back(p1);
hh = hh->next();
while(hh->vertex()->point() != p1) {
points.push_back(hh->vertex()->point());
hh = hh->next();
}
Halfedge_handle h = polys[index].create_center_vertex(fs.halfedge());
h->vertex()->point() = meanPoints(points);
return h;
}
/**
* Finds the exit point of upslope_path on the facet left of h.
*
* upslope_path must intersect the boundary of the facet in 2 points or a
* segment. One of these points must be start_point. If the intersection is a
* segment, returns the endpoint that is not start_point. Otherwise returns the
* other intersection point. Updates h so it is the halfedge where the
* intersection is found.
*/
Point_2 find_exit(Halfedge_handle& h, const Ray_2& upslope_path,
const Point_2& start_point)
{
Point_2 exit;
Plane_3 plane = h->facet()->plane();
typedef Facet::Halfedge_around_facet_circulator Circulator;
Circulator current = h->facet()->facet_begin();
Circulator end = h->facet()->facet_begin();
do {
Point_2 source = plane.to_2d(current->vertex()->point());
Point_2 target = plane.to_2d(current->opposite()->vertex()->point());
Segment_2 seg = Segment_2(source, target);
// Example pulled from http://tinyurl.com/intersect-doc
CGAL::Object intersect = CGAL::intersection(upslope_path, seg);
// Return for a point intersection
if (const CGAL::Point_2<Kernel> *ipoint =
CGAL::object_cast<CGAL::Point_2<Kernel> >(&intersect)) {
if (*ipoint != start_point) {
h = current;
return *ipoint;
}
}
// Return the opposite point of the segment for a segment intersection.
else if (const CGAL::Segment_2<Kernel> *iseg =
CGAL::object_cast<CGAL::Segment_2<Kernel> >(&intersect)) {
h = current;
if (iseg->source() == start_point)
return iseg->target();
return iseg->source();
}
} while (++current != end);
cout << "Failed to find an intersection point." << endl;
cout << "Start: " << start_point << endl;
cout << "Upslope path: " << upslope_path << endl;
print_facet(*h->facet());
std::abort();
return exit;
}
void gnuplot_print_faces_2(std::ostream& out,
CGAL::Straight_skeleton_2<Kernel>::Face_iterator faces_begin,
CGAL::Straight_skeleton_2<Kernel>::Face_iterator faces_end)
{
typedef CGAL::Straight_skeleton_2<Kernel> Ss;
typedef Ss::Face_iterator Face_iterator;
typedef Ss::Halfedge_handle Halfedge_handle;
typedef Ss::Vertex_handle Vertex_handle;
for (Face_iterator fi = faces_begin; fi != faces_end; ++fi)
{
Halfedge_handle halfedge = fi->halfedge();
Halfedge_handle first = halfedge;
do
{
Vertex_handle s = halfedge->opposite()->vertex();
Vertex_handle t = halfedge->vertex();
const Point_2& sp(s->point());
const Point_2& tp(t->point());
sp.insert(out) << endl;
tp.insert(out) << endl;
// out << sp << endl;
// out << tp << endl;
out << endl << endl;
// // Add polygon vertices to triangulation
// CDT::Vertex_handle ds = cdt.insert(s->point());
// CDT::Vertex_handle dt = cdt.insert(t->point());
// ds->info() = s->is_contour();
// dt->info() = t->is_contour();
// cdt.insert_constraint(ds, dt);
halfedge = halfedge->next();
} while (halfedge != first);
}
}
void two_boxes()
{
Polyhedron a;
make_box(0,0,0, 4, 5, 2, a);
Polyhedron b;
make_box(1, 1, -1, 2, 2, 1, b);
if (a.is_pure_triangle())
std::cout << "a is pure triangle" << std::endl;
if (b.is_pure_triangle())
std::cout << "b is pure triangle" << std::endl;
Polyhedron &biggest = a.size_of_facets() > b.size_of_facets() ? a : b;
Polyhedron &smallest = a.size_of_facets() > b.size_of_facets() ? b : a;
std::list<std::list<boost::tuple<Facet_handle, Facet_handle, Segment> > > polylines;
{
std::list<boost::tuple<Facet_handle, Facet_handle, Segment> > intersections;
compute_intersections(biggest, smallest, std::back_inserter(intersections));
for (std::list<boost::tuple<Facet_handle, Facet_handle, Segment> >::iterator it = intersections.begin();
it != intersections.end(); it++)
{
{
Halfedge_handle h = it->get<0>()->halfedge();
Triangle t(h->vertex()->point(), h->next()->vertex()->point(), h->next()->next()->vertex()->point());
assert(t.has_on(it->get<2>().source()));
assert(t.has_on(it->get<2>().target()));
}
{
Halfedge_handle h = it->get<1>()->halfedge();
Triangle t(h->vertex()->point(), h->next()->vertex()->point(), h->next()->next()->vertex()->point());
assert(t.has_on(it->get<2>().source()));
assert(t.has_on(it->get<2>().target()));
}
}
sort_polylines<Polyhedron>(biggest, smallest, intersections, polylines);
}
std::list<std::vector<Halfedge_handle> > a_edges;
split_facets<Polyhedron, 0>(biggest, polylines, a_edges);
check_splitting<Polyhedron, 0>(biggest, polylines, a_edges);
//split_facets<Polyhedron, 1>(smallest, /* smallest, */ polylines);
}
void trisect_border_halfedge( Polyhedron& P, Halfedge_handle e) {
CGAL_precondition( e->is_border());
// Create two new vertices on e.
e = e->prev();
P.split_vertex( e, e->next()->opposite());
P.split_vertex( e, e->next()->opposite());
e = e->next();
// We use later for the smoothing step that e->next()->next()
// is our original halfedge we started with, i.e., its vertex is
// from the unrefined mesh. Split the face twice.
Halfedge_handle h = e->opposite()->next();
P.split_facet( e->next()->next()->opposite(), h);
P.split_facet( e->next()->opposite(), h);
}
// Récupère la liste de tous les points d'une face
std::vector<Point_3> DegradeAnObject::getAllPointsFromFacet(Facet f) {
std::vector<Point_3> pts;
Halfedge_handle hh = f.halfedge();
pts.push_back(hh->vertex()->point());
hh = hh->next();
while(hh->vertex()->point() != pts[0]) {
pts.push_back(hh->vertex()->point());
hh = hh->next();
}
return pts;
}
void DegradeAnObject::splitEdgesOfFacet(Facet fs, int index) {
Halfedge_handle hh = fs.halfedge();
Point_3 p1 = hh->vertex()->point();
Point_3 p2 = hh->next()->vertex()->point();
Point_3 p3 = hh->next()->next()->vertex()->point();
Halfedge_handle hh1 = polys[index].split_edge(hh);
hh1->vertex()->point() = meanPoints(p1, p3);
hh = hh->next();
Halfedge_handle hh2 = polys[index].split_edge(hh);
hh2->vertex()->point() = meanPoints(p2, p1);
hh = hh->next();
Halfedge_handle hh3 = polys[index].split_edge(hh);
hh3->vertex()->point() = meanPoints(p2, p3);
}
Halfedge_handle DegradeAnObject::addAndJoinNewPoint(Point_3 p, Halfedge_handle previousHalfedge, Halfedge_handle hh, Segment_3 s, int index) {
Point_3 intersect;
Halfedge_handle splittedHalfedge;
Segment_3 seg(hh->opposite()->vertex()->point(), hh->vertex()->point());
Point_3* chkPt;
CGAL::cpp11::result_of<Kernel::Intersect_3(Segment_3, Segment_3)>::type result = CGAL::intersection(s, seg);
if (result) {
chkPt = boost::get<Point_3 >(&*result);
intersect = *chkPt;
}
Halfedge_handle split = splitEdge(hh, intersect, index);
Halfedge_handle hhx = polys[index].split_facet(previousHalfedge, split);
Halfedge_handle oppositePoint = hhx->next()->opposite();
polys[index].split_facet(oppositePoint, oppositePoint->next()->next());
return oppositePoint;
}
// Recherche les halfedges des - facets du point - qui ne contiennent pas le point
Halfedge_handle DegradeAnObject::getExteriorHalfedge(Point_3 p, Segment_3 s, std::vector<Facet> fcts) {
Halfedge_handle retHh;
for(int i = 0 ; i < fcts.size() ; i++) {
Halfedge_handle hh = fcts[i].halfedge();
for(int j = 0 ; j < 3 ; j++) {
if(hh->vertex()->point() != p && hh->opposite()->vertex()->point() != p) {
Segment_3 seg(hh->opposite()->vertex()->point(), hh->vertex()->point());
if(!seg.is_degenerate()) {
if(CGAL::do_intersect(s, seg)) {
retHh = hh;
}
}
}
hh = hh->next();
}
}
return retHh;
}
// Casse les arêtes d'une face triangulaire en 2 et les place au centre de son arête. Retourne la liste des pointeurs de ce point
std::vector<Halfedge_handle> DegradeAnObject::splitEdgesOfFacet(Facet fs, int index) {
Halfedge_handle hh = fs.halfedge();
std::vector<Halfedge_handle> hhs;
Point_3 p1 = hh->vertex()->point();
Point_3 p2 = hh->next()->vertex()->point();
Point_3 p3 = hh->next()->next()->vertex()->point();
Halfedge_handle hh1 = polys[index].split_edge(hh);
hh1->vertex()->point() = meanPoints(p1, p3);
hhs.push_back(hh1);
hh = hh->next();
Halfedge_handle hh2 = polys[index].split_edge(hh);
hh2->vertex()->point() = meanPoints(p2, p1);
hhs.push_back(hh2);
hh = hh->next();
Halfedge_handle hh3 = polys[index].split_edge(hh);
hh3->vertex()->point() = meanPoints(p2, p3);
hhs.push_back(hh3);
return hhs;
}
// Relie 2 points dans un polyèdre. p2 est le point PRECEDENT à p1.
Halfedge_handle DegradeAnObject::joinTwoPoints(Point_3 p1, Point_3 p2, int index, std::vector<Point_3> & pts) {
Halfedge_handle hh;
std::vector<Facet> fcts;
std::vector<int> indexes;
Halfedge_handle prevHalf;
Facet fs;
getFacetFromPoint(p1, fs, index);
if(twoPointsOnTheFacet(p1, p2, fs, index)) {
prevHalf = putAPointOnAFacet(p1, index);
pts.push_back(prevHalf->vertex()->point());
}
else {
fcts.clear();
Segment_3 s(p1, p2);
getFacetsFromPoint(p2, fcts, indexes);
hh = getExteriorHalfedge(p2, s, fcts);
Halfedge_handle previousHalfedge = hh->next();
Halfedge_handle newEdge = addAndJoinNewPoint(p2, previousHalfedge, hh, s, index);
pts.push_back(newEdge->vertex()->point());
prevHalf = joinTwoPoints(p1, newEdge->vertex()->point(), index, pts);
}
return prevHalf;
}
void printHalfedge( const Halfedge_handle & hh )
{
cerr << setw( 3 ) << hh->opposite()->vertex()->id()
<< " == " << setw( 3 ) << hh->vertex()->id() << endl;
}
/*! Create an edge e that matches the edge e2, contained in the face f1. */
virtual void create_edge(Face_const_handle f1, Halfedge_const_handle e2,
Halfedge_handle e) const
{
e->set_data(f1->data() + e2->data());
e->twin()->set_data(f1->data() + e2->data());
}
/*! Create an edge e that matches the edge e1, contained in the face f2. */
virtual void create_edge(Halfedge_const_handle e1, Face_const_handle f2,
Halfedge_handle e) const
{
e->set_data(e1->data() + f2->data());
e->twin()->set_data(e1->data() + f2->data());
}
void geometryUtils::subdivide_flip_edge(Polyhedron& P, Halfedge_handle e) {
Halfedge_handle h = e->next();
P.join_facet(e);
P.split_facet(h, h->next()->next());
}