Merge turtle2d in it's subdifrectory for later relocation

4 files changed, 704 insertions, 0 deletions

diff --git a/turtle2d/src/jogamp/graph/curve/tess/GraphOutline.java b/turtle2d/src/jogamp/graph/curve/tess/GraphOutline.java
new file mode 100644
index 000000000..5dae296e5
--- /dev/null
+++ b/turtle2d/src/jogamp/graph/curve/tess/GraphOutline.java
@@ -0,0 +1,81 @@
+/**
+ * Copyright 2010 JogAmp Community. All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without modification, are
+ * permitted provided that the following conditions are met:
+ *
+ *    1. Redistributions of source code must retain the above copyright notice, this list of
+ *       conditions and the following disclaimer.
+ *
+ *    2. Redistributions in binary form must reproduce the above copyright notice, this list
+ *       of conditions and the following disclaimer in the documentation and/or other materials
+ *       provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY JogAmp Community ``AS IS'' AND ANY EXPRESS OR IMPLIED
+ * WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND
+ * FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL JogAmp Community OR
+ * CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
+ * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
+ * SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
+ * ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
+ * NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF
+ * ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+ *
+ * The views and conclusions contained in the software and documentation are those of the
+ * authors and should not be interpreted as representing official policies, either expressed
+ * or implied, of JogAmp Community.
+ */
+package jogamp.graph.curve.tess;
+
+import java.util.ArrayList;
+
+import com.jogamp.graph.geom.Outline;
+import com.jogamp.graph.geom.Vertex;
+
+public class GraphOutline {
+	final private Outline outline;
+	final private ArrayList<GraphVertex> controlpoints = new ArrayList<GraphVertex>(3);
+	
+	public GraphOutline(){
+		this.outline = new Outline();
+	}
+	
+	/**Create a control polyline of control vertices
+	 * the curve pieces can be identified by onCurve flag 
+	 * of each cp the control polyline is open by default
+	 */
+	public GraphOutline(Outline ol){
+		this.outline = ol;
+		ArrayList<Vertex> vertices = this.outline.getVertices();
+		for(Vertex v:vertices){
+			this.controlpoints.add(new GraphVertex(v));
+		}
+	}
+
+	public Outline getOutline() {
+		return outline;
+	}
+
+	/*public void setOutline(Outline<T> outline) {
+		this.outline = outline;
+	}*/
+	
+
+	public ArrayList<GraphVertex> getGraphPoint() {
+		return controlpoints;
+	}
+	
+	public ArrayList<Vertex> getPoints() {
+		return outline.getVertices();
+	}
+
+	/*public void setControlpoints(ArrayList<GraphPoint<T>> controlpoints) {
+		this.controlpoints = controlpoints;
+	}*/
+
+	public void addVertex(GraphVertex v) {
+		controlpoints.add(v);
+		outline.addVertex(v.getPoint());
+	}
+	
+}
diff --git a/turtle2d/src/jogamp/graph/curve/tess/GraphVertex.java b/turtle2d/src/jogamp/graph/curve/tess/GraphVertex.java
new file mode 100644
index 000000000..b9f95a0e7
--- /dev/null
+++ b/turtle2d/src/jogamp/graph/curve/tess/GraphVertex.java
@@ -0,0 +1,120 @@
+/**
+ * Copyright 2010 JogAmp Community. All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without modification, are
+ * permitted provided that the following conditions are met:
+ *
+ *    1. Redistributions of source code must retain the above copyright notice, this list of
+ *       conditions and the following disclaimer.
+ *
+ *    2. Redistributions in binary form must reproduce the above copyright notice, this list
+ *       of conditions and the following disclaimer in the documentation and/or other materials
+ *       provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY JogAmp Community ``AS IS'' AND ANY EXPRESS OR IMPLIED
+ * WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND
+ * FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL JogAmp Community OR
+ * CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
+ * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
+ * SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
+ * ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
+ * NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF
+ * ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+ *
+ * The views and conclusions contained in the software and documentation are those of the
+ * authors and should not be interpreted as representing official policies, either expressed
+ * or implied, of JogAmp Community.
+ */
+package jogamp.graph.curve.tess;
+
+import java.util.ArrayList;
+
+import com.jogamp.graph.geom.Vertex;
+
+public class GraphVertex {
+	private Vertex point;
+	private ArrayList<HEdge> edges = null;
+	private boolean boundaryContained = false;
+	
+	public GraphVertex(Vertex point) {
+		this.point = point;
+	}
+
+	public Vertex getPoint() {
+		return point;
+	}
+	
+	public float getX(){
+		return point.getX();
+	}
+	
+	public float getY(){
+		return point.getY();
+	}
+	
+	public float getZ(){
+		return point.getZ();
+	}
+	public float[] getCoord() {
+		return point.getCoord();
+	}
+
+	public void setPoint(Vertex point) {
+		this.point = point;
+	}
+
+	public ArrayList<HEdge> getEdges() {
+		return edges;
+	}
+
+	public void setEdges(ArrayList<HEdge> edges) {
+		this.edges = edges;
+	}
+	
+	public void addEdge(HEdge edge){
+		if(edges == null){
+			edges = new ArrayList<HEdge>();
+		}
+		edges.add(edge);
+	}
+	public void removeEdge(HEdge edge){
+		if(edges == null)
+			return;
+		edges.remove(edge);
+		if(edges.size() == 0){
+			edges = null;
+		}
+	}
+	public HEdge findNextEdge(GraphVertex nextVert){
+		for(HEdge e:edges){
+			if(e.getNext().getGraphPoint() == nextVert){
+				return e;
+			}
+		}
+		return null;
+	}
+	public HEdge findBoundEdge(){
+		for(HEdge e:edges){
+			if((e.getType() == HEdge.BOUNDARY) || (e.getType() == HEdge.HOLE)){
+				return e;
+			}
+		}
+		return null;
+	}
+	public HEdge findPrevEdge(GraphVertex prevVert){
+		for(HEdge e:edges){
+			if(e.getPrev().getGraphPoint() == prevVert){
+				return e;
+			}
+		}
+		return null;
+	}
+	
+	public boolean isBoundaryContained() {
+		return boundaryContained;
+	}
+
+	public void setBoundaryContained(boolean boundaryContained) {
+		this.boundaryContained = boundaryContained;
+	}
+}
diff --git a/turtle2d/src/jogamp/graph/curve/tess/HEdge.java b/turtle2d/src/jogamp/graph/curve/tess/HEdge.java
new file mode 100644
index 000000000..d1bcc6e17
--- /dev/null
+++ b/turtle2d/src/jogamp/graph/curve/tess/HEdge.java
@@ -0,0 +1,130 @@
+/**
+ * Copyright 2010 JogAmp Community. All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without modification, are
+ * permitted provided that the following conditions are met:
+ *
+ *    1. Redistributions of source code must retain the above copyright notice, this list of
+ *       conditions and the following disclaimer.
+ *
+ *    2. Redistributions in binary form must reproduce the above copyright notice, this list
+ *       of conditions and the following disclaimer in the documentation and/or other materials
+ *       provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY JogAmp Community ``AS IS'' AND ANY EXPRESS OR IMPLIED
+ * WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND
+ * FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL JogAmp Community OR
+ * CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
+ * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
+ * SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
+ * ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
+ * NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF
+ * ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+ *
+ * The views and conclusions contained in the software and documentation are those of the
+ * authors and should not be interpreted as representing official policies, either expressed
+ * or implied, of JogAmp Community.
+ */
+package jogamp.graph.curve.tess;
+
+import com.jogamp.graph.geom.Vertex;
+import com.jogamp.graph.geom.Triangle;
+
+
+public class HEdge {
+	public static int BOUNDARY = 3;
+	public static int INNER = 1;
+	public static int HOLE = 2;
+	
+	private GraphVertex vert;
+	private HEdge prev = null;
+	private HEdge next = null;
+	private HEdge sibling = null;
+	private int type = BOUNDARY;
+	private Triangle triangle = null;
+	
+	public HEdge(GraphVertex vert, int type) {
+		this.vert = vert;
+		this.type = type;
+	}
+
+	public HEdge(GraphVertex vert, HEdge prev, HEdge next, HEdge sibling, int type) {
+		this.vert = vert;
+		this.prev = prev;
+		this.next = next;
+		this.sibling = sibling;
+		this.type = type;
+	}
+
+	public HEdge(GraphVertex vert, HEdge prev, HEdge next, HEdge sibling, int type, Triangle triangle) {
+		this.vert = vert;
+		this.prev = prev;
+		this.next = next;
+		this.sibling = sibling;
+		this.type = type;
+		this.triangle = triangle;
+	}
+
+	public GraphVertex getGraphPoint() {
+		return vert;
+	}
+
+	public void setVert(GraphVertex vert) {
+		this.vert = vert;
+	}
+
+	public HEdge getPrev() {
+		return prev;
+	}
+
+	public void setPrev(HEdge prev) {
+		this.prev = prev;
+	}
+
+	public HEdge getNext() {
+		return next;
+	}
+
+	public void setNext(HEdge next) {
+		this.next = next;
+	}
+
+	public HEdge getSibling() {
+		return sibling;
+	}
+
+	public void setSibling(HEdge sibling) {
+		this.sibling = sibling;
+	}
+
+	public int getType() {
+		return type;
+	}
+
+	public void setType(int type) {
+		this.type = type;
+	}
+
+	public Triangle getTriangle() {
+		return triangle;
+	}
+
+	public void setTriangle(Triangle triangle) {
+		this.triangle = triangle;
+	}
+	
+	public static <T extends Vertex> void connect(HEdge first, HEdge next){
+		first.setNext(next);
+		next.setPrev(first);
+	}
+	
+	public static <T extends Vertex> void makeSiblings(HEdge first, HEdge second){
+		first.setSibling(second);
+		second.setSibling(first);
+	}
+	
+	public boolean vertexOnCurveVertex(){
+		return vert.getPoint().isOnCurve();
+	}
+	
+}
diff --git a/turtle2d/src/jogamp/graph/curve/tess/Loop.java b/turtle2d/src/jogamp/graph/curve/tess/Loop.java
new file mode 100644
index 000000000..fd7736a20
--- /dev/null
+++ b/turtle2d/src/jogamp/graph/curve/tess/Loop.java
@@ -0,0 +1,373 @@
+/**
+ * Copyright 2010 JogAmp Community. All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without modification, are
+ * permitted provided that the following conditions are met:
+ *
+ *    1. Redistributions of source code must retain the above copyright notice, this list of
+ *       conditions and the following disclaimer.
+ *
+ *    2. Redistributions in binary form must reproduce the above copyright notice, this list
+ *       of conditions and the following disclaimer in the documentation and/or other materials
+ *       provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY JogAmp Community ``AS IS'' AND ANY EXPRESS OR IMPLIED
+ * WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND
+ * FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL JogAmp Community OR
+ * CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
+ * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
+ * SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
+ * ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
+ * NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF
+ * ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+ *
+ * The views and conclusions contained in the software and documentation are those of the
+ * authors and should not be interpreted as representing official policies, either expressed
+ * or implied, of JogAmp Community.
+ */
+package jogamp.graph.curve.tess;
+
+import java.util.ArrayList;
+
+
+import com.jogamp.graph.geom.AABBox;
+import com.jogamp.graph.geom.Vertex;
+import com.jogamp.graph.geom.Triangle;
+import com.jogamp.graph.math.VectorUtil;
+
+public class Loop {
+	private HEdge root = null;
+	private AABBox box = new AABBox();
+	private GraphOutline initialOutline = null;
+
+	public Loop(GraphOutline polyline, int direction){
+		initialOutline = polyline;
+		this.root = initFromPolyline(initialOutline, direction);
+	}
+
+	public HEdge getHEdge(){
+		return root;
+	}
+
+	public Triangle cut(boolean delaunay){
+		if(isSimplex()){
+			Triangle t = new Triangle(root.getGraphPoint().getPoint(), root.getNext().getGraphPoint().getPoint(), 
+					root.getNext().getNext().getGraphPoint().getPoint());
+			t.setVerticesBoundary(checkVerticesBoundary(root));
+			return t;
+		}
+		HEdge prev = root.getPrev();
+		HEdge next1 = root.getNext();
+
+		HEdge next2 = findClosestValidNeighbor(next1.getNext(), delaunay);
+		if(next2 == null){
+			root = root.getNext();
+			return null;
+		}
+
+		GraphVertex v1 = root.getGraphPoint();
+		GraphVertex v2 = next1.getGraphPoint();
+		GraphVertex v3 = next2.getGraphPoint();
+
+		HEdge v3Edge = new HEdge(v3, HEdge.INNER);
+
+		HEdge.connect(v3Edge, root);
+		HEdge.connect(next1, v3Edge);
+
+		HEdge v3EdgeSib = v3Edge.getSibling();
+		if(v3EdgeSib == null){
+			v3EdgeSib = new HEdge(v3Edge.getNext().getGraphPoint(), HEdge.INNER);
+			HEdge.makeSiblings(v3Edge, v3EdgeSib);
+		}
+
+		HEdge.connect(prev, v3EdgeSib);
+		HEdge.connect(v3EdgeSib, next2);
+
+		Triangle t = createTriangle(v1.getPoint(), v2.getPoint(), v3.getPoint(), root);
+		this.root = next2;
+		return t;
+	}
+
+	public boolean isSimplex(){
+		return (root.getNext().getNext().getNext() == root);
+	}
+
+	/**Create a connected list of half edges (loop)
+	 * from the boundary profile
+	 * @param direction requested winding of edges (CCW or CW)
+	 */
+	private HEdge initFromPolyline(GraphOutline outline, int direction){
+		ArrayList<GraphVertex> vertices = outline.getGraphPoint();
+
+		if(vertices.size()<3) {
+			throw new IllegalArgumentException("outline's vertices < 3: " + vertices.size());
+		}
+		boolean isCCW = VectorUtil.ccw(vertices.get(0).getPoint(), vertices.get(1).getPoint(),
+				vertices.get(2).getPoint());
+		boolean invert = isCCW && (direction == VectorUtil.CW);
+
+		HEdge firstEdge = null;
+		HEdge lastEdge = null;
+		int index =0;
+		int max = vertices.size();
+
+		int edgeType =  HEdge.BOUNDARY;
+		if(invert){
+			index = vertices.size() -1;
+			max = -1;
+			edgeType = HEdge.HOLE;
+		}
+
+		while(index != max){
+			GraphVertex v1 = vertices.get(index);
+			box.resize(v1.getX(), v1.getY(), v1.getZ());
+
+			HEdge edge = new HEdge(v1, edgeType);
+
+			v1.addEdge(edge);
+			if(lastEdge != null){
+				lastEdge.setNext(edge);
+				edge.setPrev(lastEdge);
+			}
+			else{
+				firstEdge = edge;
+			}
+
+			if(!invert){
+				if(index == vertices.size()-1){
+					edge.setNext(firstEdge);
+					firstEdge.setPrev(edge);
+				}
+			}
+			else if (index == 0){
+				edge.setNext(firstEdge);
+				firstEdge.setPrev(edge);
+			}
+
+			lastEdge = edge;
+
+			if(!invert){
+				index++;
+			}
+			else{
+				index--;
+			}
+		}
+		return firstEdge;
+	}
+
+	public void addConstraintCurve(GraphOutline polyline) {
+		//		GraphOutline outline = new GraphOutline(polyline);
+		/**needed to generate vertex references.*/
+		initFromPolyline(polyline, VectorUtil.CW); 
+
+		GraphVertex v3 = locateClosestVertex(polyline);
+		HEdge v3Edge = v3.findBoundEdge();
+		HEdge v3EdgeP = v3Edge.getPrev();
+		HEdge crossEdge = new HEdge(root.getGraphPoint(), HEdge.INNER);
+
+		HEdge.connect(root.getPrev(), crossEdge);
+		HEdge.connect(crossEdge, v3Edge);
+
+		HEdge crossEdgeSib = crossEdge.getSibling();
+		if(crossEdgeSib == null) {
+			crossEdgeSib = new HEdge(crossEdge.getNext().getGraphPoint(), HEdge.INNER);
+			HEdge.makeSiblings(crossEdge, crossEdgeSib);
+		}
+
+		HEdge.connect(v3EdgeP, crossEdgeSib);
+		HEdge.connect(crossEdgeSib, root);
+	}
+
+	/** Locates the vertex and update the loops root 
+	 * to have (root + vertex) as closest pair 
+	 * @param polyline the control polyline 
+	 * to search for closestvertices
+	 * @return the vertex that is closest to the newly set root Hedge.
+	 */
+	private GraphVertex locateClosestVertex(GraphOutline polyline) {
+		HEdge closestE = null;
+		GraphVertex closestV = null;
+
+		float minDistance = Float.MAX_VALUE;
+		boolean inValid = false;
+		ArrayList<GraphVertex> initVertices = initialOutline.getGraphPoint();
+		ArrayList<GraphVertex> vertices = polyline.getGraphPoint();
+
+		for(int i=0; i< initVertices.size()-1; i++){
+			GraphVertex v = initVertices.get(i);
+			GraphVertex nextV = initVertices.get(i+1);
+			for(GraphVertex cand:vertices){
+				float distance = VectorUtil.computeLength(v.getCoord(), cand.getCoord());
+				if(distance < minDistance){
+					for (GraphVertex vert:vertices){
+						if(vert == v || vert == nextV || vert == cand)
+							continue;
+						inValid = VectorUtil.inCircle(v.getPoint(), nextV.getPoint(), 
+								cand.getPoint(), vert.getPoint());
+						if(inValid){
+							break;
+						}
+					}
+					if(!inValid){
+						closestV = cand;
+						minDistance = distance;
+						closestE = v.findBoundEdge();
+					}
+				}
+
+			}
+		}
+
+		if(closestE != null){
+			root = closestE;
+		}
+
+		return closestV;
+	}
+
+	private HEdge findClosestValidNeighbor(HEdge edge, boolean delaunay) {
+		HEdge next = root.getNext();
+
+		if(!VectorUtil.ccw(root.getGraphPoint().getPoint(), next.getGraphPoint().getPoint(),
+				edge.getGraphPoint().getPoint())){
+			return null;
+		}
+
+		HEdge candEdge = edge;
+		boolean inValid = false;
+
+		if(delaunay){
+		    Vertex cand = candEdge.getGraphPoint().getPoint();
+			HEdge e = candEdge.getNext();
+			while (e != candEdge){
+				if(e.getGraphPoint() == root.getGraphPoint() 
+						|| e.getGraphPoint() == next.getGraphPoint() 
+						|| e.getGraphPoint().getPoint() == cand){
+					e = e.getNext();
+					continue;
+				}
+				inValid = VectorUtil.inCircle(root.getGraphPoint().getPoint(), next.getGraphPoint().getPoint(),
+						cand, e.getGraphPoint().getPoint());
+				if(inValid){
+					break;
+				}
+				e = e.getNext();
+			}
+		}
+		if(!inValid){
+			return candEdge;
+		}
+		return null;
+	}
+
+	/** Create a triangle from the param vertices only if
+	 * the triangle is valid. IE not outside region.
+	 * @param v1 vertex 1
+	 * @param v2 vertex 2
+	 * @param v3 vertex 3
+	 * @param root and edge of this triangle
+	 * @return the triangle iff it satisfies, null otherwise
+	 */
+	private Triangle createTriangle(Vertex v1, Vertex v2, Vertex v3, HEdge rootT){
+		Triangle t = new Triangle(v1, v2, v3);
+		t.setVerticesBoundary(checkVerticesBoundary(rootT));
+		return t;
+	}
+
+	private boolean[] checkVerticesBoundary(HEdge rootT) {
+		boolean[] boundary = new boolean[3];
+		HEdge e1 = rootT;
+		HEdge e2 = rootT.getNext();
+		HEdge e3 = rootT.getNext().getNext();
+
+		if(e1.getGraphPoint().isBoundaryContained()){
+				boundary[0] = true;
+		}
+		if(e2.getGraphPoint().isBoundaryContained()){
+				boundary[1] = true;
+		}
+		if(e3.getGraphPoint().isBoundaryContained()){
+				boundary[2] = true;
+		}
+		return boundary;
+	}
+
+
+	/** Check if vertex inside the Loop
+	 * @param vertex the Vertex
+	 * @return true if the vertex is inside, false otherwise
+	 */
+	public boolean checkInside(Vertex vertex) {
+		if(!box.contains(vertex.getX(), vertex.getY(), vertex.getZ())){
+			return false;
+		}
+
+		float[] center = box.getCenter();
+
+		int hits = 0;
+		HEdge current = root;
+		HEdge next = root.getNext();
+		while(next!= root){
+			if(current.getType() == HEdge.INNER || next.getType() == HEdge.INNER){
+				current = next;
+				next = current.getNext();
+				continue;
+			}
+			Vertex vert1 = current.getGraphPoint().getPoint();
+			Vertex vert2 = next.getGraphPoint().getPoint();
+
+			/** The ray is P0+s*D0, where P0 is the ray origin, D0 is a direction vector and s >= 0. 
+			 * The segment is P1+t*D1, where P1 and P1+D1 are the endpoints, and 0 <= t <= 1. 
+			 * perp(x,y) = (y,-x).
+			 * if Dot(perp(D1),D0) is not zero,
+			 * s = Dot(perp(D1),P1-P0)/Dot(perp(D1),D0)
+			 * t = Dot(perp(D0),P1-P0)/Dot(perp(D1),D0)
+			 */
+
+			float[] d0 = new float[]{center[0] - vertex.getX(), center[1]-vertex.getY(),
+					center[2]-vertex.getZ()};
+			float[] d1 = {vert2.getX() - vert1.getX(), vert2.getY() - vert1.getY(),
+					vert2.getZ() - vert1.getZ()};
+
+			float[] prep_d1 = {d1[1],-1*d1[0], d1[2]};
+			float[] prep_d0 = {d0[1],-1*d0[0], d0[2]};
+
+			float[] p0p1 = new float[]{vert1.getX() - vertex.getX(), vert1.getY() - vertex.getY(),
+					vert1.getZ() - vertex.getZ()};
+
+			float dotD1D0 = VectorUtil.dot(prep_d1, d0);
+			if(dotD1D0 == 0){ 
+				/** ray parallel to segment */
+				current = next;
+				next = current.getNext();
+				continue;
+			}
+
+			float s = VectorUtil.dot(prep_d1,p0p1)/dotD1D0;
+			float t = VectorUtil.dot(prep_d0,p0p1)/dotD1D0;
+
+			if(s >= 0 && t >= 0 && t<= 1){
+				hits++;
+			}
+			current = next;
+			next = current.getNext();
+		}
+
+		if(hits % 2 != 0){ 
+			/** check if hit count is even */
+			return true;
+		}
+		return false;
+	}
+
+	public int computeLoopSize(){
+		int size = 0;
+		HEdge e = root;
+		do{
+			size++;
+			e = e.getNext();
+		}while(e != root);
+		return size;
+	}
+}