| public static CounterClockwise ( System.Point pa, System.Point pb, System.Point pc ) : double | ||
| pa | System.Point | Point a. |
| pb | System.Point | Point b. |
| pc | System.Point | Point c. |
| return | double | |
public static Point FindCircumcenter(Point torg, Point tdest, Point tapex, ref double xi, ref double eta)
{
double num;
Statistic.CircumcenterCount = Statistic.CircumcenterCount + (long)1;
double num1 = tdest.x - torg.x;
double num2 = tdest.y - torg.y;
double num3 = tapex.x - torg.x;
double num4 = tapex.y - torg.y;
double num5 = num1 * num1 + num2 * num2;
double num6 = num3 * num3 + num4 * num4;
if (!Behavior.NoExact)
{
num = 0.5 / Primitives.CounterClockwise(tdest, tapex, torg);
Statistic.CounterClockwiseCount = Statistic.CounterClockwiseCount - (long)1;
}
else
{
num = 0.5 / (num1 * num4 - num3 * num2);
}
double num7 = (num4 * num5 - num2 * num6) * num;
double num8 = (num1 * num6 - num3 * num5) * num;
xi = (num4 * num7 - num3 * num8) * (2 * num);
eta = (num1 * num8 - num2 * num7) * (2 * num);
return(new Point(torg.x + num7, torg.y + num8));
}
/// <summary>
/// Split all the encroached subsegments.
/// </summary>
/// <param name="triflaws">A flag that specifies whether one should take
/// note of new bad triangles that result from inserting vertices to repair
/// encroached subsegments.</param>
/// <remarks>
/// Each encroached subsegment is repaired by splitting it - inserting a
/// vertex at or near its midpoint. Newly inserted vertices may encroach
/// upon other subsegments; these are also repaired.
/// </remarks>
private void SplitEncSegs(bool triflaws)
{
Otri enctri = default(Otri);
Otri testtri = default(Otri);
Osub testsh = default(Osub);
Osub currentenc = default(Osub);
BadSubseg seg;
Vertex eorg, edest, eapex;
Vertex newvertex;
InsertVertexResult success;
float segmentlength, nearestpoweroftwo;
float split;
float multiplier, divisor;
bool acuteorg, acuteorg2, acutedest, acutedest2;
// Note that steinerleft == -1 if an unlimited number
// of Steiner points is allowed.
while (badsubsegs.Count > 0)
{
if (mesh.steinerleft == 0)
{
break;
}
seg = badsubsegs.Dequeue();
currentenc = seg.encsubseg;
eorg = currentenc.Org();
edest = currentenc.Dest();
// Make sure that this segment is still the same segment it was
// when it was determined to be encroached. If the segment was
// enqueued multiple times (because several newly inserted
// vertices encroached it), it may have already been split.
if (!Osub.IsDead(currentenc.seg) && (eorg == seg.subsegorg) && (edest == seg.subsegdest))
{
// To decide where to split a segment, we need to know if the
// segment shares an endpoint with an adjacent segment.
// The concern is that, if we simply split every encroached
// segment in its center, two adjacent segments with a small
// angle between them might lead to an infinite loop; each
// vertex added to split one segment will encroach upon the
// other segment, which must then be split with a vertex that
// will encroach upon the first segment, and so on forever.
// To avoid this, imagine a set of concentric circles, whose
// radii are powers of two, about each segment endpoint.
// These concentric circles determine where the segment is
// split. (If both endpoints are shared with adjacent
// segments, split the segment in the middle, and apply the
// concentric circles for later splittings.)
// Is the origin shared with another segment?
currentenc.TriPivot(ref enctri);
enctri.Lnext(ref testtri);
testtri.SegPivot(ref testsh);
acuteorg = testsh.seg != Mesh.dummysub;
// Is the destination shared with another segment?
testtri.LnextSelf();
testtri.SegPivot(ref testsh);
acutedest = testsh.seg != Mesh.dummysub;
// If we're using Chew's algorithm (rather than Ruppert's)
// to define encroachment, delete free vertices from the
// subsegment's diametral circle.
if (!behavior.ConformingDelaunay && !acuteorg && !acutedest)
{
eapex = enctri.Apex();
while ((eapex.type == VertexType.FreeVertex) &&
((eorg.x - eapex.x) * (edest.x - eapex.x) +
(eorg.y - eapex.y) * (edest.y - eapex.y) < 0.0))
{
mesh.DeleteVertex(ref testtri);
currentenc.TriPivot(ref enctri);
eapex = enctri.Apex();
enctri.Lprev(ref testtri);
}
}
// Now, check the other side of the segment, if there's a triangle there.
enctri.Sym(ref testtri);
if (testtri.triangle != Mesh.dummytri)
{
// Is the destination shared with another segment?
testtri.LnextSelf();
testtri.SegPivot(ref testsh);
acutedest2 = testsh.seg != Mesh.dummysub;
acutedest = acutedest || acutedest2;
// Is the origin shared with another segment?
testtri.LnextSelf();
testtri.SegPivot(ref testsh);
acuteorg2 = testsh.seg != Mesh.dummysub;
acuteorg = acuteorg || acuteorg2;
// Delete free vertices from the subsegment's diametral circle.
if (!behavior.ConformingDelaunay && !acuteorg2 && !acutedest2)
{
eapex = testtri.Org();
while ((eapex.type == VertexType.FreeVertex) &&
((eorg.x - eapex.x) * (edest.x - eapex.x) +
(eorg.y - eapex.y) * (edest.y - eapex.y) < 0.0))
{
mesh.DeleteVertex(ref testtri);
enctri.Sym(ref testtri);
eapex = testtri.Apex();
testtri.LprevSelf();
}
}
}
// Use the concentric circles if exactly one endpoint is shared
// with another adjacent segment.
if (acuteorg || acutedest)
{
segmentlength = UnityEngine.Mathf.Sqrt((edest.x - eorg.x) * (edest.x - eorg.x) +
(edest.y - eorg.y) * (edest.y - eorg.y));
// Find the power of two that most evenly splits the segment.
// The worst case is a 2:1 ratio between subsegment lengths.
nearestpoweroftwo = 1.0f;
while (segmentlength > 3.0f * nearestpoweroftwo)
{
nearestpoweroftwo *= 2.0f;
}
while (segmentlength < 1.5f * nearestpoweroftwo)
{
nearestpoweroftwo *= 0.5f;
}
// Where do we split the segment?
split = nearestpoweroftwo / segmentlength;
if (acutedest)
{
split = 1.0f - split;
}
}
else
{
// If we're not worried about adjacent segments, split
// this segment in the middle.
split = 0.5f;
}
// Create the new vertex (interpolate coordinates).
newvertex = new Vertex(
eorg.x + split * (edest.x - eorg.x),
eorg.y + split * (edest.y - eorg.y),
currentenc.Mark(),
mesh.nextras);
newvertex.type = VertexType.SegmentVertex;
newvertex.hash = mesh.hash_vtx++;
newvertex.id = newvertex.hash;
mesh.vertices.Add(newvertex.hash, newvertex);
// Interpolate attributes.
for (int i = 0; i < mesh.nextras; i++)
{
newvertex.attributes[i] = eorg.attributes[i]
+ split * (edest.attributes[i] - eorg.attributes[i]);
}
if (!Behavior.NoExact)
{
// Roundoff in the above calculation may yield a 'newvertex'
// that is not precisely collinear with 'eorg' and 'edest'.
// Improve collinearity by one step of iterative refinement.
multiplier = Primitives.CounterClockwise(eorg, edest, newvertex);
divisor = ((eorg.x - edest.x) * (eorg.x - edest.x) +
(eorg.y - edest.y) * (eorg.y - edest.y));
if ((multiplier != 0.0) && (divisor != 0.0))
{
multiplier = multiplier / divisor;
// Watch out for NANs.
if (!float.IsNaN(multiplier))
{
newvertex.x += multiplier * (edest.y - eorg.y);
newvertex.y += multiplier * (eorg.x - edest.x);
}
}
}
// Check whether the new vertex lies on an endpoint.
if (((newvertex.x == eorg.x) && (newvertex.y == eorg.y)) ||
((newvertex.x == edest.x) && (newvertex.y == edest.y)))
{
logger.Error("Ran out of precision: I attempted to split a"
+ " segment to a smaller size than can be accommodated by"
+ " the finite precision of floating point arithmetic.",
"Quality.SplitEncSegs()");
throw new Exception("Ran out of precision");
}
// Insert the splitting vertex. This should always succeed.
success = mesh.InsertVertex(newvertex, ref enctri, ref currentenc, true, triflaws);
if ((success != InsertVertexResult.Successful) && (success != InsertVertexResult.Encroaching))
{
logger.Error("Failure to split a segment.", "Quality.SplitEncSegs()");
throw new Exception("Failure to split a segment.");
}
if (mesh.steinerleft > 0)
{
mesh.steinerleft--;
}
// Check the two new subsegments to see if they're encroached.
CheckSeg4Encroach(ref currentenc);
currentenc.NextSelf();
CheckSeg4Encroach(ref currentenc);
}
// Set subsegment's origin to NULL. This makes it possible to detect dead
// badsubsegs when traversing the list of all badsubsegs.
seg.subsegorg = null;
}
}
/// <summary>
/// Test the mesh for topological consistency.
/// </summary>
public bool CheckMesh()
{
Otri tri = default(Otri);
Otri oppotri = default(Otri), oppooppotri = default(Otri);
Vertex triorg, tridest, triapex;
Vertex oppoorg, oppodest;
int horrors;
bool saveexact;
// Temporarily turn on exact arithmetic if it's off.
saveexact = Behavior.NoExact;
Behavior.NoExact = false;
horrors = 0;
// Run through the list of triangles, checking each one.
foreach (var t in mesh.triangles.Values)
{
tri.triangle = t;
// Check all three edges of the triangle.
for (tri.orient = 0; tri.orient < 3; tri.orient++)
{
triorg = tri.Org();
tridest = tri.Dest();
if (tri.orient == 0)
{ // Only test for inversion once.
// Test if the triangle is flat or inverted.
triapex = tri.Apex();
if (Primitives.CounterClockwise(triorg, tridest, triapex) <= 0.0)
{
logger.Warning("Triangle is flat or inverted.",
"Quality.CheckMesh()");
horrors++;
}
}
// Find the neighboring triangle on this edge.
tri.Sym(ref oppotri);
if (oppotri.triangle != Mesh.dummytri)
{
// Check that the triangle's neighbor knows it's a neighbor.
oppotri.Sym(ref oppooppotri);
if ((tri.triangle != oppooppotri.triangle) || (tri.orient != oppooppotri.orient))
{
if (tri.triangle == oppooppotri.triangle)
{
logger.Warning("Asymmetric triangle-triangle bond: (Right triangle, wrong orientation)",
"Quality.CheckMesh()");
}
horrors++;
}
// Check that both triangles agree on the identities
// of their shared vertices.
oppoorg = oppotri.Org();
oppodest = oppotri.Dest();
if ((triorg != oppodest) || (tridest != oppoorg))
{
logger.Warning("Mismatched edge coordinates between two triangles.",
"Quality.CheckMesh()");
horrors++;
}
}
}
}
// Check for unconnected vertices
mesh.MakeVertexMap();
foreach (var v in mesh.vertices.Values)
{
if (v.tri.triangle == null)
{
logger.Warning("Vertex (ID " + v.id + ") not connected to mesh (duplicate input vertex?)",
"Quality.CheckMesh()");
}
}
if (horrors == 0) // && Behavior.Verbose
{
logger.Info("Mesh topology appears to be consistent.");
}
// Restore the status of exact arithmetic.
Behavior.NoExact = saveexact;
return(horrors == 0);
}
/// <summary>
/// Find a triangle or edge containing a given point.
/// </summary>
/// <param name="searchpoint">The point to locate.</param>
/// <param name="searchtri">The triangle to start the search at.</param>
/// <returns>Location information.</returns>
/// <remarks>
/// Searching begins from one of: the input 'searchtri', a recently
/// encountered triangle 'recenttri', or from a triangle chosen from a
/// random sample. The choice is made by determining which triangle's
/// origin is closest to the point we are searching for. Normally,
/// 'searchtri' should be a handle on the convex hull of the triangulation.
///
/// Details on the random sampling method can be found in the Mucke, Saias,
/// and Zhu paper cited in the header of this code.
///
/// On completion, 'searchtri' is a triangle that contains 'searchpoint'.
///
/// Returns ONVERTEX if the point lies on an existing vertex. 'searchtri'
/// is a handle whose origin is the existing vertex.
///
/// Returns ONEDGE if the point lies on a mesh edge. 'searchtri' is a
/// handle whose primary edge is the edge on which the point lies.
///
/// Returns INTRIANGLE if the point lies strictly within a triangle.
/// 'searchtri' is a handle on the triangle that contains the point.
///
/// Returns OUTSIDE if the point lies outside the mesh. 'searchtri' is a
/// handle whose primary edge the point is to the right of. This might
/// occur when the circumcenter of a triangle falls just slightly outside
/// the mesh due to floating-point roundoff error. It also occurs when
/// seeking a hole or region point that a foolish user has placed outside
/// the mesh.
///
/// WARNING: This routine is designed for convex triangulations, and will
/// not generally work after the holes and concavities have been carved.
/// </remarks>
public LocateResult Locate(Point searchpoint, ref Otri searchtri)
{
Otri sampletri = default(Otri);
Vertex torg, tdest;
double searchdist, dist;
double ahead;
// Record the distance from the suggested starting triangle to the
// point we seek.
torg = searchtri.Org();
searchdist = (searchpoint.X - torg.x) * (searchpoint.X - torg.x) +
(searchpoint.Y - torg.y) * (searchpoint.Y - torg.y);
// If a recently encountered triangle has been recorded and has not been
// deallocated, test it as a good starting point.
if (recenttri.triangle != null)
{
if (!Otri.IsDead(recenttri.triangle))
{
torg = recenttri.Org();
if ((torg.x == searchpoint.X) && (torg.y == searchpoint.Y))
{
recenttri.Copy(ref searchtri);
return(LocateResult.OnVertex);
}
dist = (searchpoint.X - torg.x) * (searchpoint.X - torg.x) +
(searchpoint.Y - torg.y) * (searchpoint.Y - torg.y);
if (dist < searchdist)
{
recenttri.Copy(ref searchtri);
searchdist = dist;
}
}
}
// TODO: Improve sampling.
sampler.Update(mesh);
int[] samples = sampler.GetSamples(mesh);
foreach (var key in samples)
{
sampletri.triangle = mesh.triangles[key];
if (!Otri.IsDead(sampletri.triangle))
{
torg = sampletri.Org();
dist = (searchpoint.X - torg.x) * (searchpoint.X - torg.x) +
(searchpoint.Y - torg.y) * (searchpoint.Y - torg.y);
if (dist < searchdist)
{
sampletri.Copy(ref searchtri);
searchdist = dist;
}
}
}
// Where are we?
torg = searchtri.Org();
tdest = searchtri.Dest();
// Check the starting triangle's vertices.
if ((torg.x == searchpoint.X) && (torg.y == searchpoint.Y))
{
return(LocateResult.OnVertex);
}
if ((tdest.x == searchpoint.X) && (tdest.y == searchpoint.Y))
{
searchtri.LnextSelf();
return(LocateResult.OnVertex);
}
// Orient 'searchtri' to fit the preconditions of calling preciselocate().
ahead = Primitives.CounterClockwise(torg, tdest, searchpoint);
if (ahead < 0.0)
{
// Turn around so that 'searchpoint' is to the left of the
// edge specified by 'searchtri'.
searchtri.SymSelf();
}
else if (ahead == 0.0)
{
// Check if 'searchpoint' is between 'torg' and 'tdest'.
if (((torg.x < searchpoint.X) == (searchpoint.X < tdest.x)) &&
((torg.y < searchpoint.Y) == (searchpoint.Y < tdest.y)))
{
return(LocateResult.OnEdge);
}
}
return(PreciseLocate(searchpoint, ref searchtri, false));
}
/// <summary>
/// Find a triangle or edge containing a given point.
/// </summary>
/// <param name="searchpoint">The point to locate.</param>
/// <param name="searchtri">The triangle to start the search at.</param>
/// <param name="stopatsubsegment"> If 'stopatsubsegment' is set, the search
/// will stop if it tries to walk through a subsegment, and will return OUTSIDE.</param>
/// <returns>Location information.</returns>
/// <remarks>
/// Begins its search from 'searchtri'. It is important that 'searchtri'
/// be a handle with the property that 'searchpoint' is strictly to the left
/// of the edge denoted by 'searchtri', or is collinear with that edge and
/// does not intersect that edge. (In particular, 'searchpoint' should not
/// be the origin or destination of that edge.)
///
/// These conditions are imposed because preciselocate() is normally used in
/// one of two situations:
///
/// (1) To try to find the location to insert a new point. Normally, we
/// know an edge that the point is strictly to the left of. In the
/// incremental Delaunay algorithm, that edge is a bounding box edge.
/// In Ruppert's Delaunay refinement algorithm for quality meshing,
/// that edge is the shortest edge of the triangle whose circumcenter
/// is being inserted.
///
/// (2) To try to find an existing point. In this case, any edge on the
/// convex hull is a good starting edge. You must screen out the
/// possibility that the vertex sought is an endpoint of the starting
/// edge before you call preciselocate().
///
/// On completion, 'searchtri' is a triangle that contains 'searchpoint'.
///
/// This implementation differs from that given by Guibas and Stolfi. It
/// walks from triangle to triangle, crossing an edge only if 'searchpoint'
/// is on the other side of the line containing that edge. After entering
/// a triangle, there are two edges by which one can leave that triangle.
/// If both edges are valid ('searchpoint' is on the other side of both
/// edges), one of the two is chosen by drawing a line perpendicular to
/// the entry edge (whose endpoints are 'forg' and 'fdest') passing through
/// 'fapex'. Depending on which side of this perpendicular 'searchpoint'
/// falls on, an exit edge is chosen.
///
/// This implementation is empirically faster than the Guibas and Stolfi
/// point location routine (which I originally used), which tends to spiral
/// in toward its target.
///
/// Returns ONVERTEX if the point lies on an existing vertex. 'searchtri'
/// is a handle whose origin is the existing vertex.
///
/// Returns ONEDGE if the point lies on a mesh edge. 'searchtri' is a
/// handle whose primary edge is the edge on which the point lies.
///
/// Returns INTRIANGLE if the point lies strictly within a triangle.
/// 'searchtri' is a handle on the triangle that contains the point.
///
/// Returns OUTSIDE if the point lies outside the mesh. 'searchtri' is a
/// handle whose primary edge the point is to the right of. This might
/// occur when the circumcenter of a triangle falls just slightly outside
/// the mesh due to floating-point roundoff error. It also occurs when
/// seeking a hole or region point that a foolish user has placed outside
/// the mesh.
///
/// WARNING: This routine is designed for convex triangulations, and will
/// not generally work after the holes and concavities have been carved.
/// However, it can still be used to find the circumcenter of a triangle, as
/// long as the search is begun from the triangle in question.</remarks>
public LocateResult PreciseLocate(Point searchpoint, ref Otri searchtri,
bool stopatsubsegment)
{
Otri backtracktri = default(Otri);
Osub checkedge = default(Osub);
Vertex forg, fdest, fapex;
double orgorient, destorient;
bool moveleft;
// Where are we?
forg = searchtri.Org();
fdest = searchtri.Dest();
fapex = searchtri.Apex();
while (true)
{
// Check whether the apex is the point we seek.
if ((fapex.x == searchpoint.X) && (fapex.y == searchpoint.Y))
{
searchtri.LprevSelf();
return(LocateResult.OnVertex);
}
// Does the point lie on the other side of the line defined by the
// triangle edge opposite the triangle's destination?
destorient = Primitives.CounterClockwise(forg, fapex, searchpoint);
// Does the point lie on the other side of the line defined by the
// triangle edge opposite the triangle's origin?
orgorient = Primitives.CounterClockwise(fapex, fdest, searchpoint);
if (destorient > 0.0)
{
if (orgorient > 0.0)
{
// Move left if the inner product of (fapex - searchpoint) and
// (fdest - forg) is positive. This is equivalent to drawing
// a line perpendicular to the line (forg, fdest) and passing
// through 'fapex', and determining which side of this line
// 'searchpoint' falls on.
moveleft = (fapex.x - searchpoint.X) * (fdest.x - forg.x) +
(fapex.y - searchpoint.Y) * (fdest.y - forg.y) > 0.0;
}
else
{
moveleft = true;
}
}
else
{
if (orgorient > 0.0)
{
moveleft = false;
}
else
{
// The point we seek must be on the boundary of or inside this
// triangle.
if (destorient == 0.0)
{
searchtri.LprevSelf();
return(LocateResult.OnEdge);
}
if (orgorient == 0.0)
{
searchtri.LnextSelf();
return(LocateResult.OnEdge);
}
return(LocateResult.InTriangle);
}
}
// Move to another triangle. Leave a trace 'backtracktri' in case
// floating-point roundoff or some such bogey causes us to walk
// off a boundary of the triangulation.
if (moveleft)
{
searchtri.Lprev(ref backtracktri);
fdest = fapex;
}
else
{
searchtri.Lnext(ref backtracktri);
forg = fapex;
}
backtracktri.Sym(ref searchtri);
if (mesh.checksegments && stopatsubsegment)
{
// Check for walking through a subsegment.
backtracktri.SegPivot(ref checkedge);
if (checkedge.seg != Mesh.dummysub)
{
// Go back to the last triangle.
backtracktri.Copy(ref searchtri);
return(LocateResult.Outside);
}
}
// Check for walking right out of the triangulation.
if (searchtri.triangle == Mesh.dummytri)
{
// Go back to the last triangle.
backtracktri.Copy(ref searchtri);
return(LocateResult.Outside);
}
fapex = searchtri.Apex();
}
}
/// <summary>
/// Find the holes and infect them. Find the area constraints and infect
/// them. Infect the convex hull. Spread the infection and kill triangles.
/// Spread the area constraints.
/// </summary>
public void CarveHoles()
{
Otri searchtri = default(Otri);
Vertex searchorg, searchdest;
LocateResult intersect;
Triangle[] regionTris = null;
if (!mesh.behavior.Convex)
{
// Mark as infected any unprotected triangles on the boundary.
// This is one way by which concavities are created.
InfectHull();
}
if (!mesh.behavior.NoHoles)
{
// Infect each triangle in which a hole lies.
foreach (var hole in mesh.holes)
{
// Ignore holes that aren't within the bounds of the mesh.
if (mesh.bounds.Contains(hole))
{
// Start searching from some triangle on the outer boundary.
searchtri.triangle = Mesh.dummytri;
searchtri.orient = 0;
searchtri.SymSelf();
// Ensure that the hole is to the left of this boundary edge;
// otherwise, locate() will falsely report that the hole
// falls within the starting triangle.
searchorg = searchtri.Org();
searchdest = searchtri.Dest();
if (Primitives.CounterClockwise(searchorg, searchdest, hole) > 0.0)
{
// Find a triangle that contains the hole.
intersect = mesh.locator.Locate(hole, ref searchtri);
if ((intersect != LocateResult.Outside) && (!searchtri.IsInfected()))
{
// Infect the triangle. This is done by marking the triangle
// as infected and including the triangle in the virus pool.
searchtri.Infect();
viri.Add(searchtri.triangle);
}
}
}
}
}
// Now, we have to find all the regions BEFORE we carve the holes, because locate() won't
// work when the triangulation is no longer convex. (Incidentally, this is the reason why
// regional attributes and area constraints can't be used when refining a preexisting mesh,
// which might not be convex; they can only be used with a freshly triangulated PSLG.)
if (mesh.regions.Count > 0)
{
int i = 0;
regionTris = new Triangle[mesh.regions.Count];
// Find the starting triangle for each region.
foreach (var region in mesh.regions)
{
regionTris[i] = Mesh.dummytri;
// Ignore region points that aren't within the bounds of the mesh.
if (mesh.bounds.Contains(region.point))
{
// Start searching from some triangle on the outer boundary.
searchtri.triangle = Mesh.dummytri;
searchtri.orient = 0;
searchtri.SymSelf();
// Ensure that the region point is to the left of this boundary
// edge; otherwise, locate() will falsely report that the
// region point falls within the starting triangle.
searchorg = searchtri.Org();
searchdest = searchtri.Dest();
if (Primitives.CounterClockwise(searchorg, searchdest, region.point) > 0.0)
{
// Find a triangle that contains the region point.
intersect = mesh.locator.Locate(region.point, ref searchtri);
if ((intersect != LocateResult.Outside) && (!searchtri.IsInfected()))
{
// Record the triangle for processing after the
// holes have been carved.
regionTris[i] = searchtri.triangle;
regionTris[i].region = region.id;
}
}
}
i++;
}
}
if (viri.Count > 0)
{
// Carve the holes and concavities.
Plague();
}
if (regionTris != null)
{
var iterator = new RegionIterator(mesh);
for (int i = 0; i < regionTris.Length; i++)
{
if (regionTris[i] != Mesh.dummytri)
{
// Make sure the triangle under consideration still exists.
// It may have been eaten by the virus.
if (!Otri.IsDead(regionTris[i]))
{
// Apply one region's attribute and/or area constraint.
iterator.Process(regionTris[i]);
}
}
}
}
// Free up memory (virus pool should be empty anyway).
viri.Clear();
}
public static Point FindCircumcenter(Point torg, Point tdest, Point tapex, ref double xi, ref double eta, double offconstant)
{
double num;
double num1;
double num2;
Statistic.CircumcenterCount = Statistic.CircumcenterCount + (long)1;
double num3 = tdest.x - torg.x;
double num4 = tdest.y - torg.y;
double num5 = tapex.x - torg.x;
double num6 = tapex.y - torg.y;
double num7 = num3 * num3 + num4 * num4;
double num8 = num5 * num5 + num6 * num6;
double num9 = (tdest.x - tapex.x) * (tdest.x - tapex.x) + (tdest.y - tapex.y) * (tdest.y - tapex.y);
if (!Behavior.NoExact)
{
num = 0.5 / Primitives.CounterClockwise(tdest, tapex, torg);
Statistic.CounterClockwiseCount = Statistic.CounterClockwiseCount - (long)1;
}
else
{
num = 0.5 / (num3 * num6 - num5 * num4);
}
double num10 = (num6 * num7 - num4 * num8) * num;
double num11 = (num3 * num8 - num5 * num7) * num;
if (num7 < num8 && num7 < num9)
{
if (offconstant > 0)
{
num1 = 0.5 * num3 - offconstant * num4;
num2 = 0.5 * num4 + offconstant * num3;
if (num1 * num1 + num2 * num2 < num10 * num10 + num11 * num11)
{
num10 = num1;
num11 = num2;
}
}
}
else if (num8 < num9)
{
if (offconstant > 0)
{
num1 = 0.5 * num5 + offconstant * num6;
num2 = 0.5 * num6 - offconstant * num5;
if (num1 * num1 + num2 * num2 < num10 * num10 + num11 * num11)
{
num10 = num1;
num11 = num2;
}
}
}
else if (offconstant > 0)
{
num1 = 0.5 * (tapex.x - tdest.x) - offconstant * (tapex.y - tdest.y);
num2 = 0.5 * (tapex.y - tdest.y) + offconstant * (tapex.x - tdest.x);
if (num1 * num1 + num2 * num2 < (num10 - num3) * (num10 - num3) + (num11 - num4) * (num11 - num4))
{
num10 = num3 + num1;
num11 = num4 + num2;
}
}
xi = (num6 * num10 - num5 * num11) * (2 * num);
eta = (num3 * num11 - num4 * num10) * (2 * num);
return(new Point(torg.x + num10, torg.y + num11));
}
public bool CheckMesh()
{
Otri otri = new Otri();
Otri otri1 = new Otri();
Otri otri2 = new Otri();
bool noExact = Behavior.NoExact;
Behavior.NoExact = false;
int num = 0;
foreach (Triangle value in this.mesh.triangles.Values)
{
otri.triangle = value;
otri.orient = 0;
while (otri.orient < 3)
{
Vertex vertex = otri.Org();
Vertex vertex1 = otri.Dest();
if (otri.orient == 0 && Primitives.CounterClockwise(vertex, vertex1, otri.Apex()) <= 0)
{
this.logger.Warning("Triangle is flat or inverted.", "Quality.CheckMesh()");
num++;
}
otri.Sym(ref otri1);
if (otri1.triangle != Mesh.dummytri)
{
otri1.Sym(ref otri2);
if (otri.triangle != otri2.triangle || otri.orient != otri2.orient)
{
if (otri.triangle == otri2.triangle)
{
this.logger.Warning("Asymmetric triangle-triangle bond: (Right triangle, wrong orientation)", "Quality.CheckMesh()");
}
num++;
}
Vertex vertex2 = otri1.Org();
if (vertex != otri1.Dest() || vertex1 != vertex2)
{
this.logger.Warning("Mismatched edge coordinates between two triangles.", "Quality.CheckMesh()");
num++;
}
}
otri.orient = otri.orient + 1;
}
}
this.mesh.MakeVertexMap();
foreach (Vertex value1 in this.mesh.vertices.Values)
{
if (value1.tri.triangle != null)
{
continue;
}
this.logger.Warning(string.Concat("Vertex (ID ", value1.id, ") not connected to mesh (duplicate input vertex?)"), "Quality.CheckMesh()");
}
if (num == 0)
{
this.logger.Info("Mesh topology appears to be consistent.");
}
Behavior.NoExact = noExact;
return(num == 0);
}
private void SplitEncSegs(bool triflaws)
{
Vertex vertex;
double num;
Otri otri = new Otri();
Otri otri1 = new Otri();
Osub osub = new Osub();
Osub osub1 = new Osub();
while (this.badsubsegs.Count > 0 && this.mesh.steinerleft != 0)
{
BadSubseg badSubseg = this.badsubsegs.Dequeue();
osub1 = badSubseg.encsubseg;
Vertex vertex1 = osub1.Org();
Vertex vertex2 = osub1.Dest();
if (!Osub.IsDead(osub1.seg) && vertex1 == badSubseg.subsegorg && vertex2 == badSubseg.subsegdest)
{
osub1.TriPivot(ref otri);
otri.Lnext(ref otri1);
otri1.SegPivot(ref osub);
bool flag = osub.seg != Mesh.dummysub;
otri1.LnextSelf();
otri1.SegPivot(ref osub);
bool flag1 = osub.seg != Mesh.dummysub;
if (!this.behavior.ConformingDelaunay && !flag && !flag1)
{
vertex = otri.Apex();
while (vertex.type == VertexType.FreeVertex && (vertex1.x - vertex.x) * (vertex2.x - vertex.x) + (vertex1.y - vertex.y) * (vertex2.y - vertex.y) < 0)
{
this.mesh.DeleteVertex(ref otri1);
osub1.TriPivot(ref otri);
vertex = otri.Apex();
otri.Lprev(ref otri1);
}
}
otri.Sym(ref otri1);
if (otri1.triangle != Mesh.dummytri)
{
otri1.LnextSelf();
otri1.SegPivot(ref osub);
bool flag2 = osub.seg != Mesh.dummysub;
flag1 = flag1 | flag2;
otri1.LnextSelf();
otri1.SegPivot(ref osub);
bool flag3 = osub.seg != Mesh.dummysub;
flag = flag | flag3;
if (!this.behavior.ConformingDelaunay && !flag3 && !flag2)
{
vertex = otri1.Org();
while (vertex.type == VertexType.FreeVertex && (vertex1.x - vertex.x) * (vertex2.x - vertex.x) + (vertex1.y - vertex.y) * (vertex2.y - vertex.y) < 0)
{
this.mesh.DeleteVertex(ref otri1);
otri.Sym(ref otri1);
vertex = otri1.Apex();
otri1.LprevSelf();
}
}
}
if (!(flag | flag1))
{
num = 0.5;
}
else
{
double num1 = Math.Sqrt((vertex2.x - vertex1.x) * (vertex2.x - vertex1.x) + (vertex2.y - vertex1.y) * (vertex2.y - vertex1.y));
double num2 = 1;
while (num1 > 3 * num2)
{
num2 = num2 * 2;
}
while (num1 < 1.5 * num2)
{
num2 = num2 * 0.5;
}
num = num2 / num1;
if (flag1)
{
num = 1 - num;
}
}
Vertex vertex3 = new Vertex(vertex1.x + num * (vertex2.x - vertex1.x), vertex1.y + num * (vertex2.y - vertex1.y), osub1.Mark(), this.mesh.nextras)
{
type = VertexType.SegmentVertex
};
Mesh mesh = this.mesh;
int hashVtx = mesh.hash_vtx;
mesh.hash_vtx = hashVtx + 1;
vertex3.hash = hashVtx;
vertex3.id = vertex3.hash;
this.mesh.vertices.Add(vertex3.hash, vertex3);
for (int i = 0; i < this.mesh.nextras; i++)
{
vertex3.attributes[i] = vertex1.attributes[i] + num * (vertex2.attributes[i] - vertex1.attributes[i]);
}
if (!Behavior.NoExact)
{
double num3 = Primitives.CounterClockwise(vertex1, vertex2, vertex3);
double num4 = (vertex1.x - vertex2.x) * (vertex1.x - vertex2.x) + (vertex1.y - vertex2.y) * (vertex1.y - vertex2.y);
if (num3 != 0 && num4 != 0)
{
num3 = num3 / num4;
if (!double.IsNaN(num3))
{
Vertex vertex4 = vertex3;
vertex4.x = vertex4.x + num3 * (vertex2.y - vertex1.y);
Vertex vertex5 = vertex3;
vertex5.y = vertex5.y + num3 * (vertex1.x - vertex2.x);
}
}
}
if (vertex3.x == vertex1.x && vertex3.y == vertex1.y || vertex3.x == vertex2.x && vertex3.y == vertex2.y)
{
this.logger.Error("Ran out of precision: I attempted to split a segment to a smaller size than can be accommodated by the finite precision of floating point arithmetic.", "Quality.SplitEncSegs()");
throw new Exception("Ran out of precision");
}
InsertVertexResult insertVertexResult = this.mesh.InsertVertex(vertex3, ref otri, ref osub1, true, triflaws);
if (insertVertexResult != InsertVertexResult.Successful && insertVertexResult != InsertVertexResult.Encroaching)
{
this.logger.Error("Failure to split a segment.", "Quality.SplitEncSegs()");
throw new Exception("Failure to split a segment.");
}
if (this.mesh.steinerleft > 0)
{
Mesh mesh1 = this.mesh;
mesh1.steinerleft = mesh1.steinerleft - 1;
}
this.CheckSeg4Encroach(ref osub1);
osub1.NextSelf();
this.CheckSeg4Encroach(ref osub1);
}
badSubseg.subsegorg = null;
}
}
public LocateResult PreciseLocate(Point searchpoint, ref Otri searchtri, bool stopatsubsegment)
{
bool flag;
Otri otri = new Otri();
Osub osub = new Osub();
Vertex vertex = searchtri.Org();
Vertex vertex1 = searchtri.Dest();
for (Vertex i = searchtri.Apex(); i.x != searchpoint.X || i.y != searchpoint.Y; i = searchtri.Apex())
{
double num = Primitives.CounterClockwise(vertex, i, searchpoint);
double num1 = Primitives.CounterClockwise(i, vertex1, searchpoint);
if (num <= 0)
{
if (num1 <= 0)
{
if (num == 0)
{
searchtri.LprevSelf();
return(LocateResult.OnEdge);
}
if (num1 != 0)
{
return(LocateResult.InTriangle);
}
searchtri.LnextSelf();
return(LocateResult.OnEdge);
}
flag = false;
}
else
{
flag = (num1 <= 0 ? true : (i.x - searchpoint.X) * (vertex1.x - vertex.x) + (i.y - searchpoint.Y) * (vertex1.y - vertex.y) > 0);
}
if (!flag)
{
searchtri.Lnext(ref otri);
vertex = i;
}
else
{
searchtri.Lprev(ref otri);
vertex1 = i;
}
otri.Sym(ref searchtri);
if (this.mesh.checksegments & stopatsubsegment)
{
otri.SegPivot(ref osub);
if (osub.seg != Mesh.dummysub)
{
otri.Copy(ref searchtri);
return(LocateResult.Outside);
}
}
if (searchtri.triangle == Mesh.dummytri)
{
otri.Copy(ref searchtri);
return(LocateResult.Outside);
}
}
searchtri.LprevSelf();
return(LocateResult.OnVertex);
}
public LocateResult Locate(Point searchpoint, ref Otri searchtri)
{
double x;
Otri item = new Otri();
Vertex vertex = searchtri.Org();
double num = (searchpoint.X - vertex.x) * (searchpoint.X - vertex.x) + (searchpoint.Y - vertex.y) * (searchpoint.Y - vertex.y);
if (this.recenttri.triangle != null && !Otri.IsDead(this.recenttri.triangle))
{
vertex = this.recenttri.Org();
if (vertex.x == searchpoint.X && vertex.y == searchpoint.Y)
{
this.recenttri.Copy(ref searchtri);
return(LocateResult.OnVertex);
}
x = (searchpoint.X - vertex.x) * (searchpoint.X - vertex.x) + (searchpoint.Y - vertex.y) * (searchpoint.Y - vertex.y);
if (x < num)
{
this.recenttri.Copy(ref searchtri);
num = x;
}
}
this.sampler.Update(this.mesh);
int[] samples = this.sampler.GetSamples(this.mesh);
for (int i = 0; i < (int)samples.Length; i++)
{
int num1 = samples[i];
item.triangle = this.mesh.triangles[num1];
if (!Otri.IsDead(item.triangle))
{
vertex = item.Org();
x = (searchpoint.X - vertex.x) * (searchpoint.X - vertex.x) + (searchpoint.Y - vertex.y) * (searchpoint.Y - vertex.y);
if (x < num)
{
item.Copy(ref searchtri);
num = x;
}
}
}
vertex = searchtri.Org();
Vertex vertex1 = searchtri.Dest();
if (vertex.x == searchpoint.X && vertex.y == searchpoint.Y)
{
return(LocateResult.OnVertex);
}
if (vertex1.x == searchpoint.X && vertex1.y == searchpoint.Y)
{
searchtri.LnextSelf();
return(LocateResult.OnVertex);
}
double num2 = Primitives.CounterClockwise(vertex, vertex1, searchpoint);
if (num2 < 0)
{
searchtri.SymSelf();
}
else if (num2 == 0 && vertex.x < searchpoint.X == searchpoint.X < vertex1.x && vertex.y < searchpoint.Y == searchpoint.Y < vertex1.y)
{
return(LocateResult.OnEdge);
}
return(this.PreciseLocate(searchpoint, ref searchtri, false));
}
public void CarveHoles()
{
Otri otri = new Otri();
Triangle[] triangleArray = null;
if (!this.mesh.behavior.Convex)
{
this.InfectHull();
}
if (!this.mesh.behavior.NoHoles)
{
foreach (Point hole in this.mesh.holes)
{
if (!this.mesh.bounds.Contains(hole))
{
continue;
}
otri.triangle = Mesh.dummytri;
otri.orient = 0;
otri.SymSelf();
if (Primitives.CounterClockwise(otri.Org(), otri.Dest(), hole) <= 0 || this.mesh.locator.Locate(hole, ref otri) == LocateResult.Outside || otri.IsInfected())
{
continue;
}
otri.Infect();
this.viri.Add(otri.triangle);
}
}
if (this.mesh.regions.Count > 0)
{
int num = 0;
triangleArray = new Triangle[this.mesh.regions.Count];
foreach (RegionPointer region in this.mesh.regions)
{
triangleArray[num] = Mesh.dummytri;
if (this.mesh.bounds.Contains(region.point))
{
otri.triangle = Mesh.dummytri;
otri.orient = 0;
otri.SymSelf();
if (Primitives.CounterClockwise(otri.Org(), otri.Dest(), region.point) > 0 && this.mesh.locator.Locate(region.point, ref otri) != LocateResult.Outside && !otri.IsInfected())
{
triangleArray[num] = otri.triangle;
triangleArray[num].region = region.id;
}
}
num++;
}
}
if (this.viri.Count > 0)
{
this.Plague();
}
if (triangleArray != null)
{
RegionIterator regionIterator = new RegionIterator(this.mesh);
for (int i = 0; i < (int)triangleArray.Length; i++)
{
if (triangleArray[i] != Mesh.dummytri && !Otri.IsDead(triangleArray[i]))
{
regionIterator.Process(triangleArray[i]);
}
}
}
this.viri.Clear();
}
