/* * Copyright (c) 2016 Vivid Solutions. * * All rights reserved. This program and the accompanying materials * are made available under the terms of the Eclipse Public License v1.0 * and Eclipse Distribution License v. 1.0 which accompanies this distribution. * The Eclipse Public License is available at http://www.eclipse.org/legal/epl-v10.html * and the Eclipse Distribution License is available at * * http://www.eclipse.org/org/documents/edl-v10.php. */ package org.locationtech.jts.geomgraph.index; import java.util.ArrayList; import java.util.List; import org.locationtech.jts.geom.Coordinate; import org.locationtech.jts.geomgraph.Quadrant; /** * MonotoneChains are a way of partitioning the segments of an edge to * allow for fast searching of intersections. * Specifically, a sequence of contiguous line segments * is a monotone chain iff all the vectors defined by the oriented segments * lies in the same quadrant. * <p> * Monotone Chains have the following useful properties: * <ol> * <li>the segments within a monotone chain will never intersect each other * <li>the envelope of any contiguous subset of the segments in a monotone chain * is simply the envelope of the endpoints of the subset. * </ol> * Property 1 means that there is no need to test pairs of segments from within * the same monotone chain for intersection. * Property 2 allows * binary search to be used to find the intersection points of two monotone chains. * For many types of real-world data, these properties eliminate a large number of * segment comparisons, producing substantial speed gains. * <p> * Note that due to the efficient intersection test, there is no need to limit the size * of chains to obtain fast performance. * * @version 1.7 */ public class MonotoneChainIndexer { public static int[] toIntArray(List list) { int[] array = new int[list.size()]; for (int i = 0; i < array.length; i++) { array[i] = ((Integer) list.get(i)).intValue(); } return array; } public MonotoneChainIndexer() { } public int[] getChainStartIndices(Coordinate[] pts) { // find the startpoint (and endpoints) of all monotone chains in this edge int start = 0; List startIndexList = new ArrayList(); startIndexList.add(new Integer(start)); do { int last = findChainEnd(pts, start); startIndexList.add(new Integer(last)); start = last; } while (start < pts.length - 1); // copy list to an array of ints, for efficiency int[] startIndex = toIntArray(startIndexList); return startIndex; } /** * @return the index of the last point in the monotone chain */ private int findChainEnd(Coordinate[] pts, int start) { // determine quadrant for chain int chainQuad = Quadrant.quadrant(pts[start], pts[start + 1]); int last = start + 1; while (last < pts.length ) { //if (last - start > 100) break; // compute quadrant for next possible segment in chain int quad = Quadrant.quadrant(pts[last - 1], pts[last]); if (quad != chainQuad) break; last++; } return last - 1; } }