mirror of https://github.com/KLayout/klayout.git
WIP
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@ -1077,11 +1077,147 @@ TEST(triangulate_with_vertexes)
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}
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}
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// @@@@@@@@@@q
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// @@@@@@@@@@@
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struct SortAngleAndEdgesByEdgeLength
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{
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typedef std::list<std::pair<double, db::TriangleEdge *> > angle_and_edges_list;
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bool operator() (const angle_and_edges_list::iterator &a, const angle_and_edges_list::iterator &b) const
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{
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double la = a->second->edge ().double_sq_length ();
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double lb = b->second->edge ().double_sq_length ();
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if (fabs (la - lb) > db::epsilon) {
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return la < lb;
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} else {
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return a->second->edge ().less (b->second->edge ());
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}
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}
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};
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struct ConcaveCorner
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{
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ConcaveCorner ()
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: corner (0), incoming (0), outgoing (0)
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{
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// .. nothing yet ..
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}
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ConcaveCorner (db::Vertex *_corner, db::TriangleEdge *_incoming, db::TriangleEdge *_outgoing)
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: corner (_corner), incoming (_incoming), outgoing (_outgoing)
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{
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// .. nothing yet ..
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}
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db::Vertex *corner;
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db::TriangleEdge *incoming, *outgoing;
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};
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db::TriangleEdge *find_outgoing_segment (db::Vertex *vertex, db::TriangleEdge *incoming, bool &is_concave)
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{
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db::Vertex *vfrom = incoming->other (vertex);
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db::DEdge e1 (*vfrom, *vertex);
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double vp_max = 0.0;
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int vp_max_sign = 0;
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db::TriangleEdge *outgoing = 0;
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// Look for the outgoing edge. We pick the one which bends "most", favoring
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// convex corners. Multiple edges per vertex are possible is corner cases such as the
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// "hourglass" configuration.
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for (auto e = vertex->begin_edges (); e != vertex->end_edges (); ++e) {
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db::TriangleEdge *en = *e;
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if (en != incoming && en->is_segment ()) {
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db::Vertex *v = en->other (vertex);
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db::DEdge e2 (*vertex, *v);
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double vp = double (db::vprod (e1, e2)) / (e1.double_length () * e2.double_length ());
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// vp > 0: concave, vp < 0: convex
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if (! outgoing || vp > vp_max) {
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vp_max_sign = db::vprod_sign (e1, e2);
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vp_max = vp;
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outgoing = en;
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}
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}
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}
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is_concave = (vp_max_sign > 0);
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tl_assert (outgoing != 0);
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return outgoing;
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}
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void collect_concave_vertexes (db::Triangles &tris, std::vector<ConcaveCorner> &concave_vertexes)
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{
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concave_vertexes.clear ();
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// @@@ use edge "level"
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// @@@ use edges from heap
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std::unordered_set<db::TriangleEdge *> left;
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for (auto it = tris.begin (); it != tris.end (); ++it) {
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for (unsigned int i = 0; i < 3; ++i) {
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db::TriangleEdge *e = it->edge (i);
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if (e->is_segment ()) {
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left.insert (e);
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}
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}
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}
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while (! left.empty ()) {
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// First segment for a new loop
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db::TriangleEdge *segment = *left.begin ();
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// walk along the segments in clockwise direction. Find concave
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// vertexes and create new vertexes perpendicular to the incoming
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// and outgoing edge.
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db::TriangleEdge *start_segment = segment;
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db::Vertex *vto = segment->right () ? segment->v2 () : segment->v1 ();
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do {
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left.erase (segment);
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db::TriangleEdge *prev_segment = segment;
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bool is_concave = false;
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segment = find_outgoing_segment (vto, prev_segment, is_concave);
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if (is_concave) {
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concave_vertexes.push_back (ConcaveCorner (vto, prev_segment, segment));
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}
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vto = segment->other (vto);
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} while (segment != start_segment);
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}
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}
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// Hertel-Mehlhorn :)
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TEST(JoinTriangles)
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{
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#if 1
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db::Point contour[] = {
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db::Point (0, 0),
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db::Point (0, 100),
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db::Point (1000, 100),
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db::Point (1000, 500),
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db::Point (1100, 500),
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db::Point (1100, 100),
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db::Point (2100, 100),
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db::Point (2100, 0)
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};
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#else
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db::Point contour[] = {
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db::Point (0, 0),
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db::Point (0, 100),
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@ -1094,10 +1230,13 @@ TEST(JoinTriangles)
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db::Point (1050, -1000),
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db::Point (1050, 0)
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};
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#endif
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db::Polygon poly;
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poly.assign_hull (contour + 0, contour + sizeof (contour) / sizeof (contour[0]));
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// @@@ don't to anything if already convex
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double dbu = 0.001;
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db::Triangles::TriangulateParameters param;
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@ -1108,111 +1247,33 @@ TEST(JoinTriangles)
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trans = db::CplxTrans (dbu); // @@@
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tri.triangulate (poly, param, trans);
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// @@@ use edge "level"
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// @@@ use edges from heap
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std::unordered_set<db::TriangleEdge *> left;
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std::vector<ConcaveCorner> concave_vertexes;
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collect_concave_vertexes (tri, concave_vertexes);
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for (auto it = tri.begin (); it != tri.end (); ++it) {
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for (unsigned int i = 0; i < 3; ++i) {
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db::TriangleEdge *e = it->edge (i);
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if (e->is_segment ()) {
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left.insert (e);
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}
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}
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}
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std::unordered_map<db::Vertex *, std::pair<db::DEdge, db::DEdge> > concave_corners; // @@@
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while (! left.empty ()) {
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// First segment for a new loop
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db::TriangleEdge *segment = *left.begin ();
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// walk along the segments in clockwise direction. Find concave
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// vertexes and create new vertexes perpendicular to the incoming
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// and outgoing edge.
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db::TriangleEdge *start_segment = segment;
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db::Vertex *vfrom = segment->v1 ();
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db::Vertex *vto = segment->v2 ();
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if (! segment->right ()) {
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std::swap (vfrom, vto);
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}
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do {
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left.erase (segment);
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double vp_max = 0.0;
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int vp_max_sign = 0;
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std::pair<db::DEdge, db::DEdge> edges;
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db::TriangleEdge *prev_segment = segment;
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segment = 0;
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db::Vertex *vn = 0;
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// Look for the outgoing edge. We pick the one which bends "most", favoring
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// convex corners. Multiple edges per vertex are possible is corner cases such as the
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// "hourglass" configuration.
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for (auto e = vto->begin_edges (); e != vto->end_edges (); ++e) {
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db::TriangleEdge *en = *e;
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if (en != prev_segment && en->is_segment ()) {
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tl_assert (left.find (en) != left.end () || en == start_segment); // @@@
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db::Vertex *v = en->other (vto);
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db::DEdge e1 (*vfrom, *vto);
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db::DEdge e2 (*vto, *v);
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double vp = double (db::vprod (e1, e2)) / (e1.double_length () * e2.double_length ());
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// vp > 0: concave, vp < 0: convex
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if (! segment || vp > vp_max) {
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vp_max_sign = db::vprod_sign (e1, e2);
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edges.first = e1;
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edges.second = e2;
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vp_max = vp;
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segment = en;
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vn = v;
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}
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}
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}
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tl_assert (segment != 0); // @@@
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if (vp_max_sign > 0) {
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// concave corner
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concave_corners.insert (std::make_pair (vto, edges));
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}
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vfrom = vto;
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vto = vn;
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} while (segment != start_segment);
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}
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// @@@ return if no concave corners
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// @@@ sort convex vertexes
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std::vector<std::pair<db::DPoint, db::Vertex *> > new_points;
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std::vector<db::DPoint> new_points;
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// Cut off pieces from convex corners by creating connections to points perpendicular
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// to the incoming and outgoing edges
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for (auto cc = concave_corners.begin (); cc != concave_corners.end (); ++cc) {
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for (auto cc = concave_vertexes.begin (); cc != concave_vertexes.end (); ++cc) {
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auto vtri = cc->first->triangles (); // @@@ slow?
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auto vtri = cc->corner->triangles (); // @@@ slow?
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std::vector<db::Vertex *> nvv, nvv_next;
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for (unsigned int ei = 0; ei < 2; ++ei) {
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db::DEdge ee = (ei == 0 ? cc->second.first : cc->second.second);
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db::Vertex *v0 = cc->first;
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db::DEdge ee;
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db::Vertex *v0 = cc->corner;
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if (ei == 0) {
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ee = db::DEdge (*cc->incoming->other (v0), *v0);
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} else {
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ee = db::DEdge (*v0, *cc->outgoing->other (v0));
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}
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for (auto it = vtri.begin (); it != vtri.end (); ++it) {
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@ -1240,7 +1301,7 @@ TEST(JoinTriangles)
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if (oe->is_segment ()) {
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auto cp = oe->edge ().cut_point (db::DEdge (*v0, *v0 + db::DVector (ee.dy (), -ee.dx ())));
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if (cp.first) {
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new_points.push_back (std::make_pair (cp.second, v0));
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new_points.push_back (cp.second);
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}
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} else {
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// continue searching in that direction
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@ -1267,15 +1328,93 @@ TEST(JoinTriangles)
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// Insert the new points and make connections
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std::unordered_set<std::pair<db::Vertex *, db::Vertex *> > clip_pairs;
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// @@@ TODO: what to do in case of equal new_points?
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// -> sort, remove duplicates
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for (auto p = new_points.begin (); p != new_points.end (); ++p) {
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auto v = tri.insert_point (p->first);
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clip_pairs.insert (std::make_pair (v, p->second));
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tri.insert_point (*p);
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}
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// Combine triangles, but don't cross clip edges
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if (! new_points.empty ()) {
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collect_concave_vertexes (tri, concave_vertexes);
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}
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// Collect essential edges
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// Every concave vertex can have up to two essential edges.
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// Other then suggested by Hertel-Mehlhorn we don't pick
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// them one-by-one, but using them in length order, from the
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std::unordered_set<const db::TriangleEdge *> essential_edges;
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typedef std::list<std::pair<double, db::TriangleEdge *> > angles_and_edges_list;
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angles_and_edges_list angles_and_edges;
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std::vector<angles_and_edges_list::iterator> sorted_edges;
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for (auto cc = concave_vertexes.begin (); cc != concave_vertexes.end (); ++cc) {
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std::cout << "@@@ cc=" << cc->corner->to_string () << ", in: " << cc->incoming->to_string () << ", out: " << cc->outgoing->to_string () << std::endl; // @@@
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angles_and_edges.clear ();
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db::Vertex *v0 = cc->corner;
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db::TriangleEdge *e = cc->incoming;
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while (e) {
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db::Triangle *t = e->v2 () == v0 ? e->right () : e->left ();
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tl_assert (t != 0);
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// @@@ make a method of triangle
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db::TriangleEdge *en = 0;
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for (unsigned int i = 0; i < 3; ++i) {
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db::TriangleEdge *ee = t->edge (i);
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if (ee != e && (ee->v1 () == v0 || ee->v2 () == v0)) {
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en = ee;
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break;
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}
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}
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db::DVector v1 = e->edge ().d () * (e->v1 () == v0 ? 1.0 : -1.0);
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db::DVector v2 = en->edge ().d () * (en->v1 () == v0 ? 1.0 : -1.0);
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double angle = atan2 (db::vprod (v1, v2), db::sprod (v1, v2));
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e = (en == cc->outgoing) ? 0 : en;
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angles_and_edges.push_back (std::make_pair (angle, e));
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std::cout << "@@@ [a,e] =" << angle << "," << (e ? e->to_string () : std::string ("ENDL")) << std::endl; // @@@
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}
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sorted_edges.clear ();
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for (auto i = angles_and_edges.begin (); i != angles_and_edges.end (); ++i) {
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if (i->second) {
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sorted_edges.push_back (i);
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}
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}
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std::sort (sorted_edges.begin (), sorted_edges.end (), SortAngleAndEdgesByEdgeLength ());
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for (auto i = sorted_edges.end (); i != sorted_edges.begin (); ) {
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--i;
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angles_and_edges_list::iterator ii = *i;
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angles_and_edges_list::iterator iin = ii;
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++iin;
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std::cout << "@@@ checking [a,e] =" << ii->first << "," << iin->first << "," << ii->second->to_string () << std::endl; // @@@
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if (ii->first + iin->first < M_PI - db::epsilon) {
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printf("@@@ %.12g, %.12g\n", ii->first + iin->first, M_PI); // @@@
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// not an essential edge -> remove
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iin->first += ii->first;
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angles_and_edges.erase (ii);
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std::cout << "@@@ -> not essential" << std::endl; // @@@
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}
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}
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for (auto i = angles_and_edges.begin (); i != angles_and_edges.end (); ++i) {
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essential_edges.insert (i->second);
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}
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}
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// Combine triangles, but don't cross essential edges
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db::Region result;
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@ -1305,16 +1444,7 @@ TEST(JoinTriangles)
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const db::TriangleEdge *e = (*q)->edge (i);
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const db::Triangle *qq = e->other (*q);
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bool is_outer_edge = false;
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if (! qq) {
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is_outer_edge = true;
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} else if (clip_pairs.find (std::make_pair (e->v1 (), e->v2 ())) != clip_pairs.end () || clip_pairs.find (std::make_pair (e->v2 (), e->v1 ())) != clip_pairs.end ()) {
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is_outer_edge = true;
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} else if (concave_corners.find (e->v1 ()) != concave_corners.end () && concave_corners.find (e->v2 ()) != concave_corners.end ()) {
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is_outer_edge = true;
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}
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if (is_outer_edge) {
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if (! qq || essential_edges.find (e) != essential_edges.end ()) {
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if (e->right () == *q) {
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edges.insert (std::make_pair (e->v1 (), e->v2 ()));
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} else {
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@ -1360,7 +1490,7 @@ TEST(JoinTriangles)
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}
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// @@@
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// tri.dump ("debug.gds");
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tri.dump ("debugt.gds");
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result.write ("debug.gds");
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}
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