//compute the faces intersect with segment seg
private List <TrapezoidFace> FollowSegment(TDShape seg)
{
List <TrapezoidFace> traversed = new List <TrapezoidFace>();
TDPoint p = seg.getFirst();
TDPoint q = seg.getLast();
/* if (p.equals(q))
* System.out.println("AAAAAAHHHH!");
*/
TrapezoidFace start = Dgraph.retrieve(p);
traversed.Add(start);
TrapezoidFace j = start;
while (j != null && (j.rightp != null && q.right(j.rightp)))
{
if (seg.above(j.rightp))
{
j = j.lowerRight;
}
else
{
j = j.upperRight;
}
if (j != null)
{
traversed.Add(j);
}
}
return(traversed);
}
void Awake()
{
p = null;
s = null;
t = null;
parent = null;
leftNode = null;
rightNode = null;
}
public TrapezoidFace(TDShape atop, TDShape abottom, TDPoint aleftp, TDPoint arightp, TrapezoidFace aupperLeft, TrapezoidFace alowerLeft, TrapezoidFace aupperRight, TrapezoidFace alowerRight)
{
top = atop;
bottom = abottom;
leftp = aleftp;
rightp = arightp;
upperLeft = aupperLeft;
lowerLeft = alowerLeft;
upperRight = aupperRight;
lowerRight = alowerRight;
}
public TrapezoidFace(TDShape atop, TDShape abottom, TDPoint aleftp, TDPoint arightp)
{
top = atop;
bottom = abottom;
leftp = aleftp;
rightp = arightp;
upperLeft = null;
lowerLeft = null;
upperRight = null;
lowerRight = null;
}
public TrapezoidFace()
{
top = null;
bottom = null;
leftp = null;
rightp = null;
upperLeft = null;
lowerLeft = null;
upperRight = null;
lowerRight = null;
}
public TDNode(TDShape _s)
{
s = _s;
type = SEG;
}
public bool equals(TDShape s)
{
return(s == null ? points == null : s.getPoints().Equals(points));
}
public void setBottom(TDShape a_bottom)
{
bottom = a_bottom;
}
public void setTop(TDShape a_top)
{
top = a_top;
}
/*
* Creates trapezoidal maps the "naive" way. More specifically, this
* function iterates through each shape, and each point of each shape,
* creating a TrapezoidLine for each point with an initially long length.
* Then, this length is minimized over all the x intersections for above the
* point. This is repeated for all the lines below the point. This is
* primarily used for drawing the visual lines on the screen (as any time
* savings are already negated when having to draw all objects anyway).
*/
public List <TrapezoidLine> naiveMap(float width, float height)
{
//return all the vertical lines of trapezoid.
//TODO:fix the boundary parameter;
List <TrapezoidLine> trapezoidMap = new List <TrapezoidLine>();
// Add the borders of the window as temporary shapes
TDShape border = new TDShape();
TDShape border2 = new TDShape();
border.getPoints().Add(new TDPoint(-1f * height, 0));
border.getPoints().Add(new TDPoint(height, 0));
border2.getPoints().Add(new TDPoint(0, -1f * width));
border2.getPoints().Add(new TDPoint(0, width));
shapes.Add(border);
shapes.Add(border2);
// Step through each shape
for (int i = 0; i < shapes.Count; i++)
{
//TDShape s = shapes[i];
//TDShape sh = shapes[i + 1];
TDShape sh = shapes[i];
// Ignore the border shapes so their points do not appear as part of
// the trapezoidal map
if (sh.equals(border) || sh.equals(border2))
{
continue;
}
// Step through the points in the current shape
for (int pi = 0; pi < sh.getPoints().Count; pi++)
{
//TDPoint p = sh.getPoints()[pi];
TDPoint pt = sh.getPoints()[pi];
// Generate two trapezoidal lines for each point (up and down)
TrapezoidLine t = new TrapezoidLine(pt, height + 1, true);
TrapezoidLine t2 = new TrapezoidLine(pt, height + 1, false);
bool tu = false;
bool t2u = false;
// Iterate over all shapes, intersecting the trapezoidal lines
// with each of the shapes
for (int s2i = 0; s2i < shapes.Count; s2i++)
{
//TDShape s2 = shapes[s2i];
TDShape sh2 = shapes[s2i];
// if(!sh.equals(sh2)) {
// If the intersection yields a positive difference that is
// smaller than the previous length, update t
// down
if (t.getStart().y - sh2.intersect(t, height + 1) > 0)
{
t.setLength(Mathf.Min((t.getStart().y - sh2
.intersect(t, height + 1)), t.getLength()));
tu = true;
}
// if the intersection yields a negative difference that is
// absolutely smaller than the previous length, update t2
else if (t2.getStart().y - sh2.intersect(t2, height + 1) < 0)
{
t2.setLength(Mathf.Min(Mathf.Abs(t2.getStart().y
- sh2.intersect(t2, height + 1)), t2
.getLength()));
t2u = true;
}
// }
}
// If the lengths have been updated to a reasonable value, Add
// them
if (t.getLength() < height)
{
trapezoidMap.Add(t);
}
if (t2.getLength() < height)
{
trapezoidMap.Add(t2);
}
}
}
// Remove the borders so they are not displayed
shapes.Remove(border);
shapes.Remove(border2);
return(trapezoidMap);
}
//Do increamental construction, return built faces
public List <TrapezoidFace> incrementalMap()
{
int i;
// Set<TrapezoidLine> trapezoidMap = new List<TrapezoidLine>();
List <TrapezoidFace> trapezoidFaces = new List <TrapezoidFace>();
List <TDShape> segments = new List <TDShape>(shapes);
/* int index = 0;
* for (Shape s : segments) {
* s.index = index;
* index++;
* }
*/
// T(nil)
TrapezoidFace nilFace = new TrapezoidFace();
trapezoidFaces.Add(nilFace);
// Add T(nil) to D
// Graph Dgraph = new Graph();
Dgraph = new TDGraph();
Dgraph.Add(new TDNode(nilFace));
// Debug
// Dgraph.traverseTree();
while (segments.Count > 0)
{
TDShape seg = randomShape(segments);
segments.Remove(seg);
// System.out.println("Segment: "+seg.index);
List <TrapezoidFace> intersectedFaces = FollowSegment(seg);
// System.out.println("Intersected: " + intersectedFaces.size());
TDPoint p = seg.getFirst();
TDPoint q = seg.getLast();
if (intersectedFaces.Count == 1)
{
//segment lies within 1 face, split this face;
TrapezoidFace d = intersectedFaces[0];
trapezoidFaces.Remove(d);
TrapezoidFace A = new TrapezoidFace(d.top, d.bottom, d.leftp, p);
TrapezoidFace C = new TrapezoidFace(d.top, seg, p, q);
TrapezoidFace D = new TrapezoidFace(seg, d.bottom, p, q);
TrapezoidFace B = new TrapezoidFace(d.top, d.bottom, q, d.rightp);
A.setNeighbors(d.upperLeft, d.lowerLeft, C, D);
C.setNeighbors(A, A, B, B);
D.setNeighbors(A, A, B, B);
B.setNeighbors(C, D, d.upperRight, d.lowerRight);
if (d.upperLeft != null)
{
d.upperLeft.upperRight = A;
d.upperLeft.lowerRight = A;
}
if (d.lowerLeft != null)
{
d.lowerLeft.upperRight = A;
d.lowerLeft.lowerRight = A;
}
if (d.upperRight != null)
{
d.upperRight.upperLeft = B;
d.upperRight.lowerLeft = B;
}
if (d.lowerRight != null)
{
d.lowerRight.upperLeft = B;
d.lowerRight.lowerLeft = B;
}
trapezoidFaces.Add(A);
trapezoidFaces.Add(B);
trapezoidFaces.Add(C);
trapezoidFaces.Add(D);
TDNode subRoot = d.n; // Dgraph.retrieveNode(p);
// Switch node over
subRoot.t = null;
subRoot.setType(TDNode.POINT);
subRoot.p = p;
// Set left node
subRoot.leftNode = new TDNode(A);
subRoot.leftNode.parent = subRoot;
// Set right tree
subRoot.rightNode = new TDNode(q);
subRoot.rightNode.parent = subRoot;
subRoot.rightNode.rightNode = new TDNode(B);
subRoot.rightNode.rightNode.parent = subRoot.rightNode;
subRoot.rightNode.leftNode = new TDNode(seg);
subRoot.rightNode.leftNode.parent = subRoot.rightNode;
subRoot.rightNode.leftNode.leftNode = new TDNode(C);
subRoot.rightNode.leftNode.leftNode.parent = subRoot.rightNode.leftNode;
subRoot.rightNode.leftNode.rightNode = new TDNode(D);
subRoot.rightNode.leftNode.rightNode.parent = subRoot.rightNode.leftNode;
}
else
{
i = 0;
List <TrapezoidFace> newFaces = new List <TrapezoidFace>();
TrapezoidFace prevUpper = null;
TrapezoidFace prevLower = null;
foreach (TrapezoidFace d in intersectedFaces)
{
// if(!trapezoidFaces.contains(d)) System.out.println("AAAAAHHHHHHHHH!!!!");
//Intersect with multiple faces
// First
if (i == 0)
{
trapezoidFaces.Remove(d);
TrapezoidFace A = new TrapezoidFace(d.top, d.bottom, d.leftp, p);
TrapezoidFace B = new TrapezoidFace(d.top, seg, p, d.rightp);
TrapezoidFace C = new TrapezoidFace(seg, d.bottom, p, d.rightp);
A.setNeighbors(d.upperLeft, d.lowerLeft, B, C);
B.setNeighbors(A, A, null, null);
C.setNeighbors(A, A, null, null);
if (d.upperLeft != null)
{
//if(d.upperLeft.lowerRight==d.upperLeft.upperRight)
d.upperLeft.upperRight = A;
d.upperLeft.lowerRight = A;
}
if (d.lowerLeft != null)
{
//if(d.lowerLeft.upperRight==d.upperLeft.upperRight)
d.lowerLeft.lowerRight = A;
d.lowerLeft.upperRight = A;
}
trapezoidFaces.Add(A);
newFaces.Add(B);
newFaces.Add(C);
prevUpper = B;
prevLower = C;
TDNode subRoot = d.n; // Dgraph.retrieveNode(p);
subRoot.t = null;
subRoot.setType(TDNode.POINT);
subRoot.p = p;
// Set left node
subRoot.leftNode = new TDNode(A);
subRoot.leftNode.parent = subRoot;
// Set right tree
subRoot.rightNode = new TDNode(seg);
subRoot.rightNode.parent = subRoot;
subRoot.rightNode.leftNode = new TDNode(B);
subRoot.rightNode.leftNode.parent = subRoot.rightNode;
subRoot.rightNode.rightNode = new TDNode(C);
subRoot.rightNode.rightNode.parent = subRoot.rightNode;
foreach (TrapezoidFace e in trapezoidFaces)
{
if (!trapezoidFaces.Contains(e.upperLeft))
{
e.upperLeft = null;
}
if (!trapezoidFaces.Contains(e.lowerLeft))
{
e.lowerLeft = null;
}
if (!trapezoidFaces.Contains(e.upperRight))
{
e.upperRight = null;
}
if (!trapezoidFaces.Contains(e.lowerRight))
{
e.lowerRight = null;
}
}
}
// Last
else if (i == intersectedFaces.Count - 1)
{
trapezoidFaces.Remove(d);
TrapezoidFace B = new TrapezoidFace(d.top, seg, d.leftp, q);
TrapezoidFace C = new TrapezoidFace(seg, d.bottom, d.leftp, q);
TrapezoidFace A = new TrapezoidFace(d.top, d.bottom, q, d.rightp);
B.setNeighbors(prevUpper, prevUpper, A, A);
C.setNeighbors(prevLower, prevLower, A, A);
A.setNeighbors(B, C, d.upperRight, d.lowerRight);
prevUpper.upperRight = B;
prevUpper.lowerRight = B;
prevLower.upperRight = C;
prevLower.lowerRight = C;
if (d.upperRight != null)
{
//if(d.upperRight.upperLeft==d.upperRight.lowerLeft)
d.upperRight.upperLeft = A;
d.upperRight.lowerLeft = A;
}
if (d.lowerRight != null)
{
//if(d.lowerRight.upperLeft==d.lowerRight.lowerLeft)
d.lowerRight.lowerLeft = A;
d.lowerRight.upperLeft = A;
}
trapezoidFaces.Add(A);
newFaces.Add(B);
newFaces.Add(C);
TDNode subRoot = d.n; // Dgraph.retrieveNode(q);
subRoot.t = null;
subRoot.setType(TDNode.POINT);
subRoot.p = q;
// Set right node
subRoot.rightNode = new TDNode(A);
subRoot.rightNode.parent = subRoot;
// Set left node
subRoot.leftNode = new TDNode(seg);
subRoot.leftNode.parent = subRoot;
subRoot.leftNode.leftNode = new TDNode(B);
subRoot.leftNode.leftNode.parent = subRoot.leftNode;
subRoot.leftNode.rightNode = new TDNode(C);
subRoot.leftNode.rightNode.parent = subRoot.leftNode;
foreach (TrapezoidFace e in trapezoidFaces)
{
if (!trapezoidFaces.Contains(e.upperLeft))
{
e.upperLeft = null;
}
if (!trapezoidFaces.Contains(e.lowerLeft))
{
e.lowerLeft = null;
}
if (!trapezoidFaces.Contains(e.upperRight))
{
e.upperRight = null;
}
if (!trapezoidFaces.Contains(e.lowerRight))
{
e.lowerRight = null;
}
}
}
// Middle
else
{
trapezoidFaces.Remove(d);
TrapezoidFace A = new TrapezoidFace(d.top, seg,
d.leftp, d.rightp);
TrapezoidFace B = new TrapezoidFace(seg, d.bottom,
d.leftp, d.rightp);
A.setNeighbors(prevUpper, prevUpper, null, null);
B.setNeighbors(prevLower, prevLower, null, null);
prevUpper.upperRight = A;
prevUpper.lowerRight = A;
prevLower.upperRight = B;
prevLower.lowerRight = B;
prevUpper = A;
prevLower = B;
newFaces.Add(A);
newFaces.Add(B);
TDNode subRoot = d.n;
subRoot.t = null;
subRoot.setType(TDNode.SEG);
subRoot.s = seg;
// Set left node
subRoot.leftNode = new TDNode(A);
subRoot.leftNode.parent = subRoot;
subRoot.rightNode = new TDNode(B);
subRoot.rightNode.parent = subRoot;
foreach (TrapezoidFace e in trapezoidFaces)
{
if (!trapezoidFaces.Contains(e.upperLeft))
{
e.upperLeft = null;
}
if (!trapezoidFaces.Contains(e.lowerLeft))
{
e.lowerLeft = null;
}
if (!trapezoidFaces.Contains(e.upperRight))
{
e.upperRight = null;
}
if (!trapezoidFaces.Contains(e.lowerRight))
{
e.lowerRight = null;
}
}
}
i++;
}
bool allMerged = false;
// System.out.println("New before merge: " + newFaces.size());
// Merge trapezoids
while (!allMerged)
{
foreach (TrapezoidFace d in newFaces)
{
if (d.rightp != null &&
!d.rightp.equals(p) &&
!d.rightp.equals(q) &&
((d.top != null && (d.top.above(d.rightp))) || (d.bottom != null && (d.bottom.below(d.rightp)))))
{
TrapezoidFace next = d.upperRight; // Either should work
d.upperRight = next.upperRight;
d.lowerRight = next.lowerRight;
if ((d.top != null && (d.top.above(d.rightp))))
{
d.upperRight.lowerLeft = d;
}
else
{
d.upperRight.upperLeft = d;
}
d.rightp = next.rightp;
// Update the node tree as well
if (next.n.parent.isLeftNode(next.n))
{
next.n.parent.leftNode = d.n;
}
else
{
next.n.parent.rightNode = d.n;
}
newFaces.Remove(next);
//System.out.println("Removed?: "+ newFaces.Remove(next));
break;
}
else
{
d.merged = true;
}
}
allMerged = true;
foreach (TrapezoidFace d in newFaces)
{
if (!d.merged)
{
allMerged = false;
}
}
}
// System.out.println("New after merge: " + newFaces.size());
foreach (TrapezoidFace d in newFaces)
{
d.merged = false;
// d.selected=true;
trapezoidFaces.Add(d);
}
}
/* for(TrapezoidFace d : trapezoidFaces) {
* if(!(trapezoidFaces.contains(d.upperLeft) || d.upperLeft==null) ||
* !(trapezoidFaces.contains(d.upperRight) || d.upperRight==null ) ||
* !(trapezoidFaces.contains(d.lowerLeft) || d.lowerLeft==null ) ||
* !(trapezoidFaces.contains(d.lowerRight) || d.lowerRight==null) )
* System.out.println("Sanity check failed");
* }
*/
}
int j = 0;
foreach (TrapezoidFace f in trapezoidFaces)
{
f.setIndex(j);
j++;
}
Dgraph.traverseTree();
// System.out.println("----");
return(trapezoidFaces);
}
