/// <summary>
/// Find and remove any junction (ie valence>2) vertices of the graph.
/// At a junction, the pair of best-aligned (ie straightest) edges are left
/// connected, and all the other edges are disconnected
///
/// [TODO] currently there is no DGraph2.SetEdge(), so the 'other' edges
/// are deleted and new edges inserted. Hence, edge IDs are not preserved.
/// </summary>
public static int DisconnectJunctions(DGraph2 graph)
{
var junctions = new List <int>();
// find all junctions
foreach (int vid in graph.VertexIndices())
{
if (graph.IsJunctionVertex(vid))
{
junctions.Add(vid);
}
}
foreach (int vid in junctions)
{
Vector2d v = graph.GetVertex(vid);
int[] nbr_verts = graph.VtxVerticesItr(vid).ToArray();
// find best-aligned pair of edges connected to vid
Index2i best_aligned = Index2i.Max; double max_angle = 0;
for (int i = 0; i < nbr_verts.Length; ++i)
{
for (int j = i + 1; j < nbr_verts.Length; ++j)
{
double angle = Vector2d.AngleD(
(graph.GetVertex(nbr_verts[i]) - v).Normalized,
(graph.GetVertex(nbr_verts[j]) - v).Normalized);
angle = Math.Abs(angle);
if (angle > max_angle)
{
max_angle = angle;
best_aligned = new Index2i(nbr_verts[i], nbr_verts[j]);
}
}
}
// for nbr verts that are not part of the best_aligned edges,
// we remove those edges and add a new one connected to a new vertex
for (int k = 0; k < nbr_verts.Length; ++k)
{
if (nbr_verts[k] == best_aligned.a || nbr_verts[k] == best_aligned.b)
{
continue;
}
int eid = graph.FindEdge(vid, nbr_verts[k]);
graph.RemoveEdge(eid, true);
if (graph.IsVertex(nbr_verts[k]))
{
var newpos = Vector2d.Lerp(graph.GetVertex(nbr_verts[k]), v, 0.99);
int newv = graph.AppendVertex(newpos);
graph.AppendEdge(nbr_verts[k], newv);
}
}
}
return(junctions.Count);
}
/// <summary>
/// foreach edge [vid,b] connected to junction vertex vid, remove, add new vertex c,
/// and then add new edge [b,c]. Optionally move c a bit back along edge from vid.
/// </summary>
public static void DisconnectJunction(DGraph2 graph, int vid, double shrinkFactor = 1.0)
{
Vector2d v = graph.GetVertex(vid);
int[] nbr_verts = graph.VtxVerticesItr(vid).ToArray();
for (int k = 0; k < nbr_verts.Length; ++k)
{
int eid = graph.FindEdge(vid, nbr_verts[k]);
graph.RemoveEdge(eid, true);
if (graph.IsVertex(nbr_verts[k]))
{
Vector2d newpos = Vector2d.Lerp(graph.GetVertex(nbr_verts[k]), v, shrinkFactor);
int newv = graph.AppendVertex(newpos);
graph.AppendEdge(nbr_verts[k], newv);
}
}
}
/// <summary>
/// insert edge [a,b] into the arrangement, splitting existing edges as necessary
/// </summary>
protected bool insert_segment(ref Vector2d a, ref Vector2d b, int gid = -1, double tol = 0)
{
// handle degenerate edges
int a_idx = find_existing_vertex(a);
int b_idx = find_existing_vertex(b);
if (a_idx == b_idx && a_idx >= 0)
{
return(false);
}
// ok find all intersections
List <Intersection> hits = new List <Intersection>();
find_intersecting_edges(ref a, ref b, hits, tol);
int N = hits.Count;
// we are going to construct a list of <t,vertex_id> values along segment AB
List <SegmentPoint> points = new List <SegmentPoint>();
Segment2d segAB = new Segment2d(a, b);
// insert intersections into existing segments
for (int i = 0; i < N; ++i)
{
Intersection intr = hits[i];
int eid = intr.eid;
double t0 = intr.intr.Parameter0, t1 = intr.intr.Parameter1;
// insert first point at t0
int new_eid = -1;
if (intr.intr.Type == IntersectionType.Point || intr.intr.Type == IntersectionType.Segment)
{
Index2i new_info = split_segment_at_t(eid, t0, VertexSnapTol);
new_eid = new_info.b;
Vector2d v = Graph.GetVertex(new_info.a);
points.Add(new SegmentPoint()
{
t = segAB.Project(v), vid = new_info.a
});
}
// if intersection was on-segment, then we have a second point at t1
if (intr.intr.Type == IntersectionType.Segment)
{
if (new_eid == -1)
{
// did not actually split edge for t0, so we can still use eid
Index2i new_info = split_segment_at_t(eid, t1, VertexSnapTol);
Vector2d v = Graph.GetVertex(new_info.a);
points.Add(new SegmentPoint()
{
t = segAB.Project(v), vid = new_info.a
});
}
else
{
// find t1 was in eid, rebuild in new_eid
Segment2d new_seg = Graph.GetEdgeSegment(new_eid);
Vector2d p1 = intr.intr.Segment1.PointAt(t1);
double new_t1 = new_seg.Project(p1);
Util.gDevAssert(new_t1 <= Math.Abs(new_seg.Extent));
Index2i new_info = split_segment_at_t(new_eid, new_t1, VertexSnapTol);
Vector2d v = Graph.GetVertex(new_info.a);
points.Add(new SegmentPoint()
{
t = segAB.Project(v), vid = new_info.a
});
}
}
}
// find or create start and end points
if (a_idx == -1)
{
a_idx = find_existing_vertex(a);
}
if (a_idx == -1)
{
a_idx = Graph.AppendVertex(a);
PointHash.InsertPointUnsafe(a_idx, a);
}
if (b_idx == -1)
{
b_idx = find_existing_vertex(b);
}
if (b_idx == -1)
{
b_idx = Graph.AppendVertex(b);
PointHash.InsertPointUnsafe(b_idx, b);
}
// add start/end to points list. These may be duplicates but we will sort that out after
points.Add(new SegmentPoint()
{
t = segAB.Project(a), vid = a_idx
});
points.Add(new SegmentPoint()
{
t = segAB.Project(b), vid = b_idx
});
// sort by t
points.Sort((pa, pb) => { return((pa.t < pb.t) ? -1 : ((pa.t > pb.t) ? 1 : 0)); });
// connect sequential points, as long as they aren't the same point,
// and the segment doesn't already exist
for (int k = 0; k < points.Count - 1; ++k)
{
int v0 = points[k].vid;
int v1 = points[k + 1].vid;
if (v0 == v1)
{
continue;
}
if (Math.Abs(points[k].t - points[k + 1].t) < MathUtil.Epsilonf)
{
System.Console.WriteLine("insert_segment: different points with same t??");
}
if (Graph.FindEdge(v0, v1) == DGraph2.InvalidID)
{
Graph.AppendEdge(v0, v1, gid);
}
}
return(true);
}
protected virtual void do_split(Line2d line, bool insert_edges, int insert_gid)
{
if (EdgeSigns.Length < Graph.MaxVertexID)
{
EdgeSigns.resize(Graph.MaxVertexID);
}
foreach (int vid in Graph.VertexIndices())
{
EdgeSigns[vid] = line.WhichSide(Graph.GetVertex(vid), OnVertexTol);
}
hits.Clear();
foreach (int eid in Graph.EdgeIndices())
{
Index2i ev = Graph.GetEdgeV(eid);
var signs = new Index2i(EdgeSigns[ev.a], EdgeSigns[ev.b]);
if (signs.a * signs.b > 0)
{
continue; // both positive or negative, ignore
}
var hit = new edge_hit()
{
hit_eid = eid, vtx_signs = signs, hit_vid = -1
};
Vector2d a = Graph.GetVertex(ev.a);
Vector2d b = Graph.GetVertex(ev.b);
// parallel-edge case (both are zero)
if (signs.a == signs.b)
{
if (a.DistanceSquared(b) > MathUtil.Epsilon)
{
// we need to somehow not insert a new segment for this span below.
// so, insert two hit points for the ray-interval, with same eid.
// This will result in this span being skipped by the same-eid test below
// *however*, if other edges self-intersect w/ this segment, this will *not work*
// and duplicate edges will be inserted
hit.hit_vid = ev.a;
hit.line_t = line.Project(a);
hits.Add(hit);
hit.hit_vid = ev.b;
hit.line_t = line.Project(b);
hits.Add(hit);
}
else
{
// degenerate edge - fall through to a == 0 case below
signs.b = 1;
}
}
if (signs.a == 0)
{
hit.hit_pos = a;
hit.hit_vid = ev.a;
hit.line_t = line.Project(a);
}
else if (signs.b == 0)
{
hit.hit_pos = b;
hit.hit_vid = ev.b;
hit.line_t = line.Project(b);
}
else
{
var intr = new IntrLine2Segment2(line, new Segment2d(a, b));
if (intr.Find() == false)
{
throw new Exception("GraphSplitter2d.Split: signs are different but ray did not it?");
}
if (intr.IsSimpleIntersection)
{
hit.hit_pos = intr.Point;
hit.line_t = intr.Parameter;
}
else
{
throw new Exception("GraphSplitter2d.Split: got parallel edge case!");
}
}
hits.Add(hit);
}
// sort by increasing ray-t
hits.Sort((hit0, hit1) => { return(hit0.line_t.CompareTo(hit1.line_t)); });
// insert segments between successive intersection points
int N = hits.Count;
for (int i = 0; i < N - 1; ++i)
{
int j = i + 1;
// note: skipping parallel segments depends on this eid == eid test (see above)
if (hits[i].line_t == hits[j].line_t || hits[i].hit_eid == hits[j].hit_eid)
{
continue;
}
int vi = hits[i].hit_vid;
int vj = hits[j].hit_vid;
if (vi == vj && vi >= 0)
{
continue;
}
if (vi >= 0 && vj >= 0)
{
int existing = Graph.FindEdge(vi, vj);
if (existing >= 0)
{
continue;
}
}
if (vi == -1)
{
DGraph2.EdgeSplitInfo split;
var result = Graph.SplitEdge(hits[i].hit_eid, out split);
if (result != MeshResult.Ok)
{
throw new Exception("GraphSplitter2d.Split: first edge split failed!");
}
vi = split.vNew;
Graph.SetVertex(vi, hits[i].hit_pos);
edge_hit tmp = hits[i]; tmp.hit_vid = vi; hits[i] = tmp;
}
if (vj == -1)
{
DGraph2.EdgeSplitInfo split;
var result = Graph.SplitEdge(hits[j].hit_eid, out split);
if (result != MeshResult.Ok)
{
throw new Exception("GraphSplitter2d.Split: second edge split failed!");
}
vj = split.vNew;
Graph.SetVertex(vj, hits[j].hit_pos);
edge_hit tmp = hits[j]; tmp.hit_vid = vj; hits[j] = tmp;
}
// check if we actually want to add this segment
if (InsideTestF != null)
{
Vector2d midpoint = 0.5 * (Graph.GetVertex(vi) + Graph.GetVertex(vj));
if (InsideTestF(midpoint) == false)
{
continue;
}
}
if (insert_edges)
{
Graph.AppendEdge(vi, vj, insert_gid);
}
}
}