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());
}
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);
}
// 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);
}
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);
}
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;
}
// 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;
}
//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;
}
// 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;
}
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);
}
//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;
}
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;
}
// 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;
}
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 :: 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;;
}
}
// 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;
}
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);
}
}
// 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 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());
}
void Boolean_Operations_Component::SubdiviserPolyedre(PolyhedronPtr pMesh)
{
//Each facet must be triangular
if(!pMesh->is_pure_triangle())
{
pMesh->triangulate();
return;
}
Facet_iterator pFacet;
Vector Vcenter;
//Initialization of the tags
for (pFacet = pMesh->facets_begin(); pFacet != pMesh->facets_end(); pFacet++)
{
Halfedge_around_facet_circulator pHEcirc = pFacet->facet_begin();
pFacet->Issub = false;
pHEcirc->Isnew = false;
pHEcirc->vertex()->Isnew = false;
pHEcirc++;
pHEcirc->Isnew = false;
pHEcirc->vertex()->Isnew = false;
pHEcirc++;
pHEcirc->Isnew = false;
pHEcirc->vertex()->Isnew = false;
}
//For each facet of the polyhedron
for (pFacet = pMesh->facets_begin(); pFacet != pMesh->facets_end(); pFacet++)
{
//We subdivide the facet if it is not already done
if(!(pFacet->Issub))
{
Halfedge_handle pHE = pFacet->facet_begin();
for(unsigned int i = 0;i!=5;i++)
{
if(!pHE->Isnew)
{
//each edge is splited in its center
Vcenter = Vector(0.0, 0.0, 0.0);
Vcenter = ( (pHE->vertex()->point() - CGAL::ORIGIN) + (pHE->opposite()->vertex()->point() - CGAL::ORIGIN) ) / 2;
pHE = pMesh->split_edge(pHE);
pHE->vertex()->point() = CGAL::ORIGIN + Vcenter;
//update of the tags (the new vertex and the four new halfedges
pHE->vertex()->Isnew = true;
pHE->Isnew = true;
pHE->opposite()->Isnew = true;
pHE->next()->Isnew = true;
pHE->next()->opposite()->Isnew = true;
}
pHE = pHE->next();
}
//Three new edges are build between the three new vertices, and the tags of the facets are updated
if(!pHE->vertex()->Isnew) pHE = pHE->next();
pHE = pMesh->split_facet(pHE, pHE->next()->next());
pHE->opposite()->facet()->Issub = true;
pHE = pMesh->split_facet(pHE, pHE->next()->next());
pHE->opposite()->facet()->Issub = true;
pHE = pMesh->split_facet(pHE, pHE->next()->next());
pHE->opposite()->facet()->Issub = true;
pHE->facet()->Issub = true;
}
}
}
typename Poly::Halfedge_handle make_cube_3( Poly& P) {
// appends a cube of size [0,1]^3 to the polyhedron P.
CGAL_precondition( P.is_valid());
typedef typename Poly::Point_3 Point;
typedef typename Poly::Plane_3 Plane;
typedef typename Poly::Halfedge_handle Halfedge_handle;
Halfedge_handle h = P.make_tetrahedron( Point( 1, 0, 0),
Point( 0, 0, 1),
Point( 0, 0, 0),
Point( 0, 1, 0));
Halfedge_handle g = h->next()->opposite()->next();
P.split_edge( h->next());
P.split_edge( g->next());
P.split_edge( g);
h->next()->vertex()->point() = Point( 1, 0, 1);
g->next()->vertex()->point() = Point( 0, 1, 1);
g->opposite()->vertex()->point() = Point( 1, 1, 0);
Halfedge_handle f = P.split_facet( g->next(), g->next()->next()->next());
Halfedge_handle e = P.split_edge( f);
e->vertex()->point() = Point( 1, 1, 1);
P.split_facet( e, f->next()->next());
CGAL_postcondition( P.is_valid());
g = h;
g->facet()->plane() = Plane( g->vertex()->point(),
g->next()->vertex()->point(),
g->next()->next()->vertex()->point());
g = h->opposite();
g->facet()->plane() = Plane( g->vertex()->point(),
g->next()->vertex()->point(),
g->next()->next()->vertex()->point());
g = h->next()->opposite();
g->facet()->plane() = Plane( g->vertex()->point(),
g->next()->vertex()->point(),
g->next()->next()->vertex()->point());
g = h->next()->next()->opposite();
g->facet()->plane() = Plane( g->vertex()->point(),
g->next()->vertex()->point(),
g->next()->next()->vertex()->point());
g = h->next()->next()->next()->opposite();
g->facet()->plane() = Plane( g->vertex()->point(),
g->next()->vertex()->point(),
g->next()->next()->vertex()->point());
g = g->next()->next()->opposite();
g->facet()->plane() = Plane( g->vertex()->point(),
g->next()->vertex()->point(),
g->next()->next()->vertex()->point());
return h;
}
void test_HalfedgeDS_decorator2() {
// Instantiation of the halfedge data structure using vector
// with max-bases for a polyhedral surface.
typedef CGAL::HalfedgeDS_vector< Dummy_traits_3,
CGAL::Polyhedron_items_3> HDS;
typedef CGAL::HalfedgeDS_decorator<HDS> Decorator;
typedef HDS::Halfedge_handle Halfedge_handle;
typedef HDS::Face_handle Face_handle;
HDS hds(4,10,3);
Decorator decorator(hds);
// Check create single loop.
Halfedge_handle h = decorator.create_loop();
hds.normalize_border();
assert( hds.size_of_vertices() == 1);
assert( hds.size_of_halfedges() == 2);
assert( hds.size_of_faces() == 2);
assert( decorator.is_valid( false, 4));
// Restart with open segment.
hds.clear();
hds.normalize_border();
assert( decorator.is_valid( false, 4));
h = decorator.create_segment();
assert( hds.size_of_vertices() == 2);
assert( hds.size_of_halfedges() == 2);
assert( hds.size_of_faces() == 1);
assert( decorator.is_valid( false, 3));
hds.normalize_border();
assert( decorator.is_valid( false, 4));
// Create border edge and check normalization.
decorator.set_face( h->opposite(), Face_handle());
hds.normalize_border();
assert( hds.size_of_border_halfedges() == 1);
assert( hds.size_of_border_edges() == 1);
assert( decorator.normalized_border_is_valid());
decorator.set_face( h->opposite(), h->face());
hds.normalize_border();
assert( hds.size_of_border_halfedges() == 0);
assert( hds.size_of_border_edges() == 0);
assert( decorator.is_valid( false, 4));
// Extend edge to two triangles.
Halfedge_handle g = decorator.split_vertex( h, h);
assert( decorator.is_valid( false, 3));
hds.normalize_border();
assert( decorator.is_valid( false, 4));
assert( h != g);
assert( h->next()->next() == g);
assert( h == g->next()->next());
assert( h->opposite() == g->next());
assert( g->opposite() == h->next());
Halfedge_handle g2 = decorator.split_face(h->opposite(),g->opposite());
hds.normalize_border();
assert( decorator.is_valid( false, 4));
assert( h->opposite()->next() == g2);
assert( g2->next() == g);
decorator.split_vertex( g2, g->opposite());
assert( decorator.is_valid( false, 3));
hds.normalize_border();
assert( decorator.is_valid( false, 4));
assert( g->next()->next()->next()->next() == g);
Halfedge_handle g3 =
decorator.split_face( g2->next()->opposite(), h);
hds.normalize_border();
assert( decorator.is_valid( false, 4));
assert( g->next()->next()->next()->next() == g);
assert( h->next()->next()->next() == h);
assert( g3->next()->next()->next() == g3);
assert( g3->next() == g->opposite());
assert( g3->opposite()->next() == g2->opposite());
assert( g3->opposite() == h->next());
// Edge flip within the triangle.
Halfedge_handle g4 = decorator.flip_edge( g3);
assert( decorator.is_valid( false, 3));
hds.normalize_border();
assert( decorator.is_valid( false, 4));
assert( g4 == g3);
assert( g3->next()->next() == g2->opposite());
assert( g3->opposite()->next() == h);
assert( g->next()->next()->next()->next() == g);
assert( h->next()->next()->next() == h);
assert( g3->next()->next()->next() == g3);
// Reverse face orientation.
decorator.inside_out();
assert( decorator.is_valid( false, 4));
}
void test_HalfedgeDS_decorator() {
// Simple instantiation of the default halfedge data structure.
typedef CGAL_HALFEDGEDS_DEFAULT<Dummy_traits_2> HDS;
typedef CGAL::HalfedgeDS_decorator<HDS> Decorator;
typedef HDS::Halfedge_handle Halfedge_handle;
typedef HDS::Face_handle Face_handle;
HDS hds;
Decorator decorator(hds);
// Check create single loop.
Halfedge_handle h = decorator.create_loop();
hds.normalize_border();
assert( hds.size_of_vertices() == 1);
assert( hds.size_of_halfedges() == 2);
assert( hds.size_of_faces() == 2);
assert( decorator.is_valid( false, 4));
// Restart with open segment.
hds.clear();
hds.normalize_border();
assert( decorator.is_valid( false, 4));
h = decorator.create_segment();
assert( hds.size_of_vertices() == 2);
assert( hds.size_of_halfedges() == 2);
assert( hds.size_of_faces() == 1);
assert( decorator.is_valid( false, 4));
// Create border edge and check normalization.
decorator.set_face( h->opposite(), Face_handle());
hds.normalize_border();
assert( hds.size_of_border_halfedges() == 1);
assert( hds.size_of_border_edges() == 1);
assert( decorator.normalized_border_is_valid());
decorator.set_face( h->opposite(), h->face());
hds.normalize_border();
assert( hds.size_of_border_halfedges() == 0);
assert( hds.size_of_border_edges() == 0);
assert( decorator.is_valid( false, 4));
// Extend edge to two triangles.
Halfedge_handle g = decorator.split_vertex( h, h);
assert( decorator.is_valid( false, 4));
assert( h != g);
assert( h->next()->next() == g);
assert( h == g->next()->next());
assert( h->opposite() == g->next());
assert( g->opposite() == h->next());
Halfedge_handle g2 = decorator.split_face(h->opposite(),g->opposite());
assert( decorator.is_valid( false, 4));
assert( h->opposite()->next() == g2);
assert( g2->next() == g);
decorator.split_vertex( g2, g->opposite());
assert( decorator.is_valid( false, 4));
assert( g->next()->next()->next()->next() == g);
Halfedge_handle g3 =
decorator.split_face( g2->next()->opposite(), h);
assert( decorator.is_valid( false, 4));
assert( g->next()->next()->next()->next() == g);
assert( h->next()->next()->next() == h);
assert( g3->next()->next()->next() == g3);
assert( g3->next() == g->opposite());
assert( g3->opposite()->next() == g2->opposite());
assert( g3->opposite() == h->next());
// Edge flip within the triangle.
Halfedge_handle g4 = decorator.flip_edge( g3);
assert( decorator.is_valid( false, 4));
assert( g4 == g3);
assert( g3->next()->next() == g2->opposite());
assert( g3->opposite()->next() == h);
assert( g->next()->next()->next()->next() == g);
assert( h->next()->next()->next() == h);
assert( g3->next()->next()->next() == g3);
// Reverse face orientation.
decorator.inside_out();
assert( decorator.is_valid( false, 4));
decorator.inside_out();
assert( decorator.is_valid( false, 4));
// Check hole manipulations.
decorator.make_hole(g);
hds.normalize_border();
assert( hds.size_of_border_halfedges() == 4);
assert( hds.size_of_border_edges() == 4);
assert( decorator.is_valid( false, 4));
// Reverse face orientation, deal also with the hole..
decorator.inside_out();
assert( decorator.is_valid( false, 3));
hds.normalize_border();
assert( decorator.is_valid( false, 4));
// Check add_face_to_border.
hds.clear();
h = decorator.create_loop();
decorator.make_hole( h->opposite());
hds.normalize_border();
assert( decorator.is_valid( false, 4));
decorator.add_face_to_border( h->opposite(), h->opposite());
assert( hds.size_of_halfedges() == 4);
assert( hds.size_of_faces() == 2);
assert( decorator.is_valid( false, 3));
}
