C# ActiveRegion类代码示例

        /// <summary>
        /// Both edges must be directed from right to left (this is the canonical
        /// direction for the upper edge of each region).
        /// 
        /// The strategy is to evaluate a "t" value for each edge at the
        /// current sweep line position, given by tess->event. The calculations
        /// are designed to be very stable, but of course they are not perfect.
        /// 
        /// Special case: if both edge destinations are at the sweep event,
        /// we sort the edges by slope (they would otherwise compare equally).
        /// </summary>
        private bool EdgeLeq(ActiveRegion reg1, ActiveRegion reg2)
        {
            var e1 = reg1._eUp;
            var e2 = reg2._eUp;

            if (e1._Dst == _event)
            {
                if (e2._Dst == _event)
                {
                    // Two edges right of the sweep line which meet at the sweep event.
                    // Sort them by slope.
                    if (Geom.VertLeq(e1._Org, e2._Org))
                    {
                        return Geom.EdgeSign(e2._Dst, e1._Org, e2._Org) <= 0.0f;
                    }
                    return Geom.EdgeSign(e1._Dst, e2._Org, e1._Org) >= 0.0f;
                }
                return Geom.EdgeSign(e2._Dst, _event, e2._Org) <= 0.0f;
            }
            if (e2._Dst == _event)
            {
                return Geom.EdgeSign(e1._Dst, _event, e1._Org) >= 0.0f;
            }

            // General case - compute signed distance *from* e1, e2 to event
            var t1 = Geom.EdgeEval(e1._Dst, _event, e1._Org);
            var t2 = Geom.EdgeEval(e2._Dst, _event, e2._Org);
            return (t1 >= t2);
        }

        /// <summary>
        /// The event vertex lies exacty on an already-processed edge or vertex.
        /// Adding the new vertex involves splicing it into the already-processed
        /// part of the mesh.
        /// </summary>
        private void ConnectLeftDegenerate(ActiveRegion regUp, MeshUtils.Vertex vEvent)
        {
            var e = regUp._eUp;
            if (Geom.VertEq(e._Org, vEvent))
            {
                // e.Org is an unprocessed vertex - just combine them, and wait
                // for e.Org to be pulled from the queue
                // C# : in the C version, there is a flag but it was never implemented
                // the vertices are before beginning the tesselation
                throw new InvalidOperationException("Vertices should have been merged before");
            }

            if (!Geom.VertEq(e._Dst, vEvent))
            {
                // General case -- splice vEvent into edge e which passes through it
                _mesh.SplitEdge(e._Sym);
                if (regUp._fixUpperEdge)
                {
                    // This edge was fixable -- delete unused portion of original edge
                    _mesh.Delete(e._Onext);
                    regUp._fixUpperEdge = false;
                }
                _mesh.Splice(vEvent._anEdge, e);
                SweepEvent(vEvent);	// recurse
                return;
            }

            // See above
            throw new InvalidOperationException("Vertices should have been merged before");
        }

 private void ComputeWinding(ActiveRegion reg)
 {
     reg._windingNumber = RegionAbove(reg)._windingNumber + reg._eUp._winding;
     reg._inside = Geom.IsWindingInside(_windingRule, reg._windingNumber);
 }

        /// <summary>
        /// Check the upper and lower edge of "regUp", to make sure that the
        /// eUp->Org is above eLo, or eLo->Org is below eUp (depending on which
        /// origin is leftmost).
        /// 
        /// The main purpose is to splice right-going edges with the same
        /// dest vertex and nearly identical slopes (ie. we can't distinguish
        /// the slopes numerically).  However the splicing can also help us
        /// to recover from numerical errors.  For example, suppose at one
        /// point we checked eUp and eLo, and decided that eUp->Org is barely
        /// above eLo.  Then later, we split eLo into two edges (eg. from
        /// a splice operation like this one).  This can change the result of
        /// our test so that now eUp->Org is incident to eLo, or barely below it.
        /// We must correct this condition to maintain the dictionary invariants.
        /// 
        /// One possibility is to check these edges for intersection again
        /// (ie. CheckForIntersect).  This is what we do if possible.  However
        /// CheckForIntersect requires that tess->event lies between eUp and eLo,
        /// so that it has something to fall back on when the intersection
        /// calculation gives us an unusable answer.  So, for those cases where
        /// we can't check for intersection, this routine fixes the problem
        /// by just splicing the offending vertex into the other edge.
        /// This is a guaranteed solution, no matter how degenerate things get.
        /// Basically this is a combinatorial solution to a numerical problem.
        /// </summary>
        private bool CheckForRightSplice(ActiveRegion regUp)
        {
            var regLo = RegionBelow(regUp);
            var eUp = regUp._eUp;
            var eLo = regLo._eUp;

            if (Geom.VertLeq(eUp._Org, eLo._Org))
            {
                if (Geom.EdgeSign(eLo._Dst, eUp._Org, eLo._Org) > 0.0f)
                {
                    return false;
                }

                // eUp.Org appears to be below eLo
                if (!Geom.VertEq(eUp._Org, eLo._Org))
                {
                    // Splice eUp._Org into eLo
                    _mesh.SplitEdge(eLo._Sym);
                    _mesh.Splice(eUp, eLo._Oprev);
                    regUp._dirty = regLo._dirty = true;
                }
                else if (eUp._Org != eLo._Org)
                {
                    // merge the two vertices, discarding eUp.Org
                    _pq.Remove(eUp._Org._pqHandle);
                    SpliceMergeVertices(eLo._Oprev, eUp);
                }
            }
            else
            {
                if (Geom.EdgeSign(eUp._Dst, eLo._Org, eUp._Org) < 0.0f)
                {
                    return false;
                }

                // eLo.Org appears to be above eUp, so splice eLo.Org into eUp
                RegionAbove(regUp)._dirty = regUp._dirty = true;
                _mesh.SplitEdge(eUp._Sym);
                _mesh.Splice(eLo._Oprev, eUp);
            }
            return true;
        }

        /// <summary>
        /// Make the sentinel coordinates big enough that they will never be
        /// merged with real input features.
        /// 
        /// We add two sentinel edges above and below all other edges,
        /// to avoid special cases at the top and bottom.
        /// </summary>
        private void AddSentinel(float smin, float smax, float t)
        {
            var e = _mesh.MakeEdge();
            e._Org._s = smax;
            e._Org._t = t;
            e._Dst._s = smin;
            e._Dst._t = t;
            _event = e._Dst; // initialize it

            var reg = new ActiveRegion();
            reg._eUp = e;
            reg._sentinel = true;
            reg._nodeUp = _dict.Insert(reg);
        }

 private ActiveRegion RegionAbove(ActiveRegion reg)
 {
     return reg._nodeUp._next._key;
 }

        /// <summary>
        /// Delete a region from the sweep line. This happens when the upper
        /// and lower chains of a region meet (at a vertex on the sweep line).
        /// The "inside" flag is copied to the appropriate mesh face (we could
        /// not do this before -- since the structure of the mesh is always
        /// changing, this face may not have even existed until now).
        /// </summary>
        private void FinishRegion(ActiveRegion reg)
        {
            var e = reg._eUp;
            var f = e._Lface;

            f._inside = reg._inside;
            f._anEdge = e;
            DeleteRegion(reg);
        }

 private void DeleteRegion(ActiveRegion reg)
 {
     if (reg._fixUpperEdge)
     {
         // It was created with zero winding number, so it better be
         // deleted with zero winding number (ie. it better not get merged
         // with a real edge).
         Debug.Assert(reg._eUp._winding == 0);
     }
     reg._eUp._activeRegion = null;
     _dict.Remove(reg._nodeUp);
 }

        /// <summary>
        /// When the upper or lower edge of any region changes, the region is
        /// marked "dirty".  This routine walks through all the dirty regions
        /// and makes sure that the dictionary invariants are satisfied
        /// (see the comments at the beginning of this file).  Of course
        /// new dirty regions can be created as we make changes to restore
        /// the invariants.
        /// </summary>
        private void WalkDirtyRegions(ActiveRegion regUp)
        {
            var regLo = RegionBelow(regUp);
            MeshUtils.Edge eUp, eLo;

            while (true)
            {
                // Find the lowest dirty region (we walk from the bottom up).
                while (regLo._dirty)
                {
                    regUp = regLo;
                    regLo = RegionBelow(regLo);
                }
                if (!regUp._dirty)
                {
                    regLo = regUp;
                    regUp = RegionAbove( regUp );
                    if(regUp == null || !regUp._dirty)
                    {
                        // We've walked all the dirty regions
                        return;
                    }
                }
                regUp._dirty = false;
                eUp = regUp._eUp;
                eLo = regLo._eUp;

                if (eUp._Dst != eLo._Dst)
                {
                    // Check that the edge ordering is obeyed at the Dst vertices.
                    if (CheckForLeftSplice(regUp))
                    {

                        // If the upper or lower edge was marked fixUpperEdge, then
                        // we no longer need it (since these edges are needed only for
                        // vertices which otherwise have no right-going edges).
                        if (regLo._fixUpperEdge)
                        {
                            DeleteRegion(regLo);
                            _mesh.Delete(eLo);
                            regLo = RegionBelow(regUp);
                            eLo = regLo._eUp;
                        }
                        else if( regUp._fixUpperEdge )
                        {
                            DeleteRegion(regUp);
                            _mesh.Delete(eUp);
                            regUp = RegionAbove(regLo);
                            eUp = regUp._eUp;
                        }
                    }
                }
                if (eUp._Org != eLo._Org)
                {
                    if(    eUp._Dst != eLo._Dst
                        && ! regUp._fixUpperEdge && ! regLo._fixUpperEdge
                        && (eUp._Dst == _event || eLo._Dst == _event) )
                    {
                        // When all else fails in CheckForIntersect(), it uses tess._event
                        // as the intersection location. To make this possible, it requires
                        // that tess._event lie between the upper and lower edges, and also
                        // that neither of these is marked fixUpperEdge (since in the worst
                        // case it might splice one of these edges into tess.event, and
                        // violate the invariant that fixable edges are the only right-going
                        // edge from their associated vertex).
                        if (CheckForIntersect(regUp))
                        {
                            // WalkDirtyRegions() was called recursively; we're done
                            return;
                        }
                    }
                    else
                    {
                        // Even though we can't use CheckForIntersect(), the Org vertices
                        // may violate the dictionary edge ordering. Check and correct this.
                        CheckForRightSplice(regUp);
                    }
                }
                if (eUp._Org == eLo._Org && eUp._Dst == eLo._Dst)
                {
                    // A degenerate loop consisting of only two edges -- delete it.
                    Geom.AddWinding(eLo, eUp);
                    DeleteRegion(regUp);
                    _mesh.Delete(eUp);
                    regUp = RegionAbove(regLo);
                }
            }
        }

        private ActiveRegion TopRightRegion(ActiveRegion reg)
        {
            var dst = reg._eUp._Dst;

            // Find the region above the uppermost edge with the same destination
            do {
                reg = RegionAbove(reg);
            } while (reg._eUp._Dst == dst);

            return reg;
        }

        private ActiveRegion TopLeftRegion(ActiveRegion reg)
        {
            var org = reg._eUp._Org;

            // Find the region above the uppermost edge with the same origin
            do {
                reg = RegionAbove(reg);
            } while (reg._eUp._Org == org);

            // If the edge above was a temporary edge introduced by ConnectRightVertex,
            // now is the time to fix it.
            if (reg._fixUpperEdge)
            {
                var e = _mesh.Connect(RegionBelow(reg)._eUp._Sym, reg._eUp._Lnext);
                FixUpperEdge(reg, e);
                reg = RegionAbove(reg);
            }

            return reg;
        }

        /// <summary>
        /// Add a new active region to the sweep line, *somewhere* below "regAbove"
        /// (according to where the new edge belongs in the sweep-line dictionary).
        /// The upper edge of the new region will be "eNewUp".
        /// Winding number and "inside" flag are not updated.
        /// </summary>
        private ActiveRegion AddRegionBelow(ActiveRegion regAbove, MeshUtils.Edge eNewUp)
        {
            var regNew = new ActiveRegion();

            regNew._eUp = eNewUp;
            regNew._nodeUp = _dict.InsertBefore(regAbove._nodeUp, regNew);
            regNew._fixUpperEdge = false;
            regNew._sentinel = false;
            regNew._dirty = false;

            eNewUp._activeRegion = regNew;

            return regNew;
        }

 private ActiveRegion RegionBelow(ActiveRegion reg)
 {
     return reg._nodeUp.Prev.Key;
 }

        /// <summary>
        /// Purpose: connect a "left" vertex (one where both edges go right)
        /// to the processed portion of the mesh.  Let R be the active region
        /// containing vEvent, and let U and L be the upper and lower edge
        /// chains of R.  There are two possibilities:
        /// 
        /// - the normal case: split R into two regions, by connecting vEvent to
        ///   the rightmost vertex of U or L lying to the left of the sweep line
        /// 
        /// - the degenerate case: if vEvent is close enough to U or L, we
        ///   merge vEvent into that edge chain.  The subcases are:
        ///     - merging with the rightmost vertex of U or L
        ///     - merging with the active edge of U or L
        ///     - merging with an already-processed portion of U or L
        /// </summary>
        private void ConnectLeftVertex(MeshUtils.Vertex vEvent)
        {
            var tmp = new ActiveRegion();

            // Get a pointer to the active region containing vEvent
            tmp._eUp = vEvent._anEdge._Sym;
            var regUp = _dict.Find(tmp).Key;
            var regLo = RegionBelow(regUp);
            if (regLo == null)
            {
                // This may happen if the input polygon is coplanar.
                return;
            }
            var eUp = regUp._eUp;
            var eLo = regLo._eUp;

            // Try merging with U or L first
            if (Geom.EdgeSign(eUp._Dst, vEvent, eUp._Org) == 0.0f)
            {
                ConnectLeftDegenerate(regUp, vEvent);
                return;
            }

            // Connect vEvent to rightmost processed vertex of either chain.
            // e._Dst is the vertex that we will connect to vEvent.
            var reg = Geom.VertLeq(eLo._Dst, eUp._Dst) ? regUp : regLo;

            if (regUp._inside || reg._fixUpperEdge)
            {
                MeshUtils.Edge eNew;
                if (reg == regUp)
                {
                    eNew = _mesh.Connect(vEvent._anEdge._Sym, eUp._Lnext);
                }
                else
                {
                    eNew = _mesh.Connect(eLo._Dnext, vEvent._anEdge)._Sym;
                }
                if (reg._fixUpperEdge)
                {
                    FixUpperEdge(reg, eNew);
                }
                else
                {
                    ComputeWinding(AddRegionBelow(regUp, eNew));
                }
                SweepEvent(vEvent);
            }
            else
            {
                // The new vertex is in a region which does not belong to the polygon.
                // We don't need to connect this vertex to the rest of the mesh.
                AddRightEdges(regUp, vEvent._anEdge, vEvent._anEdge, null, true);
            }
        }

        /// <summary>
        /// Purpose: insert right-going edges into the edge dictionary, and update
        /// winding numbers and mesh connectivity appropriately.  All right-going
        /// edges share a common origin vOrg.  Edges are inserted CCW starting at
        /// eFirst; the last edge inserted is eLast.Oprev.  If vOrg has any
        /// left-going edges already processed, then eTopLeft must be the edge
        /// such that an imaginary upward vertical segment from vOrg would be
        /// contained between eTopLeft.Oprev and eTopLeft; otherwise eTopLeft
        /// should be null.
        /// </summary>
        private void AddRightEdges(ActiveRegion regUp, MeshUtils.Edge eFirst, MeshUtils.Edge eLast, MeshUtils.Edge eTopLeft, bool cleanUp)
        {
            bool firstTime = true;

            var e = eFirst; do
            {
                Debug.Assert(Geom.VertLeq(e._Org, e._Dst));
                AddRegionBelow(regUp, e._Sym);
                e = e._Onext;
            } while (e != eLast);

            // Walk *all* right-going edges from e.Org, in the dictionary order,
            // updating the winding numbers of each region, and re-linking the mesh
            // edges to match the dictionary ordering (if necessary).
            if (eTopLeft == null)
            {
                eTopLeft = RegionBelow(regUp)._eUp._Rprev;
            }

            ActiveRegion regPrev = regUp, reg;
            var ePrev = eTopLeft;
            while (true)
            {
                reg = RegionBelow(regPrev);
                e = reg._eUp._Sym;
                if (e._Org != ePrev._Org) break;

                if (e._Onext != ePrev)
                {
                    // Unlink e from its current position, and relink below ePrev
                    _mesh.Splice(e._Oprev, e);
                    _mesh.Splice(ePrev._Oprev, e);
                }
                // Compute the winding number and "inside" flag for the new regions
                reg._windingNumber = regPrev._windingNumber - e._winding;
                reg._inside = Geom.IsWindingInside(_windingRule, reg._windingNumber);

                // Check for two outgoing edges with same slope -- process these
                // before any intersection tests (see example in tessComputeInterior).
                regPrev._dirty = true;
                if (!firstTime && CheckForRightSplice(regPrev))
                {
                    Geom.AddWinding(e, ePrev);
                    DeleteRegion(regPrev);
                    _mesh.Delete(ePrev);
                }
                firstTime = false;
                regPrev = reg;
                ePrev = e;
            }
            regPrev._dirty = true;
            Debug.Assert(regPrev._windingNumber - e._winding == reg._windingNumber);

            if (cleanUp)
            {
                // Check for intersections between newly adjacent edges.
                WalkDirtyRegions(regPrev);
            }
        }