/** * 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; import com.jogamp.graph.geom.Triangle; import com.jogamp.opengl.math.VectorUtil; import com.jogamp.opengl.math.geom.AABBox; public class Loop { private HEdge root = null; private final AABBox box = new AABBox(); private GraphOutline initialOutline = null; public Loop(final GraphOutline polyline, final VectorUtil.Winding winding){ initialOutline = polyline; this.root = initFromPolyline(initialOutline, winding); } public HEdge getHEdge(){ return root; } public Triangle cut(final boolean delaunay){ if(isSimplex()){ return new Triangle(root.getGraphPoint().getPoint(), root.getNext().getGraphPoint().getPoint(), root.getNext().getNext().getGraphPoint().getPoint(), checkVerticesBoundary(root)); } final HEdge prev = root.getPrev(); final HEdge next1 = root.getNext(); final HEdge next2 = findClosestValidNeighbor(next1.getNext(), delaunay); if(next2 == null){ root = root.getNext(); return null; } final GraphVertex v1 = root.getGraphPoint(); final GraphVertex v2 = next1.getGraphPoint(); final GraphVertex v3 = next2.getGraphPoint(); final 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); final 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 reqWinding requested winding of edges (CCW or CW) */ private HEdge initFromPolyline(final GraphOutline outline, final VectorUtil.Winding reqWinding){ final ArrayList<GraphVertex> vertices = outline.getGraphPoint(); if(vertices.size()<3) { throw new IllegalArgumentException("outline's vertices < 3: " + vertices.size()); } final VectorUtil.Winding hasWinding = VectorUtil.getWinding( vertices.get(0).getPoint(), vertices.get(1).getPoint(), vertices.get(2).getPoint()); //FIXME: handle case when vertices come inverted - Rami // skips inversion CW -> CCW final boolean invert = hasWinding != reqWinding && reqWinding == VectorUtil.Winding.CW; final int max; final int edgeType = reqWinding == VectorUtil.Winding.CCW ? HEdge.BOUNDARY : HEdge.HOLE ; int index; HEdge firstEdge = null; HEdge lastEdge = null; if(!invert) { max = vertices.size(); index = 0; } else { max = -1; index = vertices.size() -1; } while(index != max){ final GraphVertex v1 = vertices.get(index); box.resize(v1.getX(), v1.getY(), v1.getZ()); final 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); } index++; } else { if (index == 0) { edge.setNext(firstEdge); firstEdge.setPrev(edge); } index--; } lastEdge = edge; } return firstEdge; } public void addConstraintCurve(final GraphOutline polyline) { // GraphOutline outline = new GraphOutline(polyline); /**needed to generate vertex references.*/ initFromPolyline(polyline, VectorUtil.Winding.CW); final GraphVertex v3 = locateClosestVertex(polyline); final HEdge v3Edge = v3.findBoundEdge(); final HEdge v3EdgeP = v3Edge.getPrev(); final 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(final GraphOutline polyline) { HEdge closestE = null; GraphVertex closestV = null; float minDistance = Float.MAX_VALUE; boolean inValid = false; final ArrayList<GraphVertex> initVertices = initialOutline.getGraphPoint(); final ArrayList<GraphVertex> vertices = polyline.getGraphPoint(); for(int i=0; i< initVertices.size()-1; i++){ final GraphVertex v = initVertices.get(i); final GraphVertex nextV = initVertices.get(i+1); for(int pos=0; pos<vertices.size(); pos++) { final GraphVertex cand = vertices.get(pos); final float distance = VectorUtil.distVec3(v.getCoord(), cand.getCoord()); if(distance < minDistance){ for (final GraphVertex vert:vertices){ if(vert == v || vert == nextV || vert == cand) continue; inValid = VectorUtil.isInCircleVec2(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(final HEdge edge, final boolean delaunay) { final HEdge next = root.getNext(); if(!VectorUtil.ccw(root.getGraphPoint().getPoint(), next.getGraphPoint().getPoint(), edge.getGraphPoint().getPoint())){ return null; } final HEdge candEdge = edge; boolean inValid = false; if(delaunay){ final 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.isInCircleVec2(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(final Vertex v1, final Vertex v2, final Vertex v3, final HEdge rootT){ return new Triangle(v1, v2, v3, checkVerticesBoundary(rootT)); } private boolean[] checkVerticesBoundary(final HEdge rootT) { final boolean[] boundary = new boolean[3]; if(rootT.getGraphPoint().isBoundaryContained()){ boundary[0] = true; } if(rootT.getNext().getGraphPoint().isBoundaryContained()){ boundary[1] = true; } if(rootT.getNext().getNext().getGraphPoint().isBoundaryContained()){ boundary[2] = true; } return boundary; } public boolean checkInside(final Vertex v) { if(!box.contains(v.getX(), v.getY(), v.getZ())){ return false; } boolean inside = false; HEdge current = root; HEdge next = root.getNext(); do { final Vertex v2 = current.getGraphPoint().getPoint(); final Vertex v1 = next.getGraphPoint().getPoint(); if ( ((v1.getY() > v.getY()) != (v2.getY() > v.getY())) && (v.getX() < (v2.getX() - v1.getX()) * (v.getY() - v1.getY()) / (v2.getY() - v1.getY()) + v1.getX()) ){ inside = !inside; } current = next; next = current.getNext(); } while(current != root); return inside; } public int computeLoopSize(){ int size = 0; HEdge e = root; do{ size++; e = e.getNext(); }while(e != root); return size; } }