/* * GeoTools - The Open Source Java GIS Toolkit * http://geotools.org * * (C) 2004-2008, Open Source Geospatial Foundation (OSGeo) * * This library is free software; you can redistribute it and/or * modify it under the terms of the GNU Lesser General Public * License as published by the Free Software Foundation; * version 2.1 of the License. * * This library is distributed in the hope that it will be useful, * but WITHOUT ANY WARRANTY; without even the implied warranty of * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU * Lesser General Public License for more details. * * Created on 31-dic-2004 */ package org.geotools.geometry.jts.coordinatesequence; import java.util.ArrayList; import java.util.List; import org.geotools.geometry.jts.CurvedGeometry; import com.vividsolutions.jts.algorithm.RobustDeterminant; import com.vividsolutions.jts.geom.Coordinate; import com.vividsolutions.jts.geom.CoordinateSequence; import com.vividsolutions.jts.geom.CoordinateSequenceComparator; import com.vividsolutions.jts.geom.CoordinateSequenceFilter; import com.vividsolutions.jts.geom.Geometry; import com.vividsolutions.jts.geom.LineString; import com.vividsolutions.jts.geom.Point; import com.vividsolutions.jts.geom.Polygon; import com.vividsolutions.jts.geom.impl.CoordinateArraySequence; /** * Utility functions for coordinate sequences (extends the same named JTS class) * @author Andrea Aime - OpenGeo * @author Martin Davis - OpenGeo * * * @source $URL$ */ public class CoordinateSequences extends com.vividsolutions.jts.geom.CoordinateSequences { /** * Computes whether a ring defined by an array of {@link Coordinate}s is * oriented counter-clockwise. * <ul> * <li>The list of points is assumed to have the first and last points equal. * <li>This will handle coordinate lists which contain repeated points. * </ul> * This algorithm is <b>only</b> guaranteed to work with valid rings. * If the ring is invalid (e.g. self-crosses or touches), * the computed result may not be correct. * * @param ring an array of Coordinates forming a ring * @return true if the ring is oriented counter-clockwise. */ public static boolean isCCW(CoordinateSequence ring) { // # of points without closing endpoint int nPts = ring.size() - 1; // find highest point double hiy = ring.getOrdinate(0, 1); int hiIndex = 0; for (int i = 1; i <= nPts; i++) { if (ring.getOrdinate(i, 1) > hiy) { hiy = ring.getOrdinate(i, 1); hiIndex = i; } } // find distinct point before highest point int iPrev = hiIndex; do { iPrev = iPrev - 1; if (iPrev < 0) iPrev = nPts; } while (equals2D(ring, iPrev, hiIndex) && iPrev != hiIndex); // find distinct point after highest point int iNext = hiIndex; do { iNext = (iNext + 1) % nPts; } while (equals2D(ring, iNext, hiIndex) && iNext != hiIndex); /** * This check catches cases where the ring contains an A-B-A configuration of points. * This can happen if the ring does not contain 3 distinct points * (including the case where the input array has fewer than 4 elements), * or it contains coincident line segments. */ if (equals2D(ring, iPrev, hiIndex) || equals2D(ring, iNext, hiIndex)|| equals2D(ring, iPrev, iNext)) return false; int disc = computeOrientation(ring, iPrev, hiIndex, iNext); /** * If disc is exactly 0, lines are collinear. There are two possible cases: * (1) the lines lie along the x axis in opposite directions * (2) the lines lie on top of one another * * (1) is handled by checking if next is left of prev ==> CCW * (2) will never happen if the ring is valid, so don't check for it * (Might want to assert this) */ boolean isCCW = false; if (disc == 0) { // poly is CCW if prev x is right of next x isCCW = (ring.getOrdinate(iPrev, 0) > ring.getOrdinate(iNext, 0)); } else { // if area is positive, points are ordered CCW isCCW = (disc > 0); } return isCCW; } private static boolean equals2D(CoordinateSequence cs, int i, int j) { return cs.getOrdinate(i, 0) == cs.getOrdinate(j, 0) && cs.getOrdinate(i, 1) == cs.getOrdinate(j, 1); } public static int computeOrientation(CoordinateSequence cs, int p1, int p2, int q) { // travelling along p1->p2, turn counter clockwise to get to q return 1, // travelling along p1->p2, turn clockwise to get to q return -1, // p1, p2 and q are colinear return 0. double p1x = cs.getOrdinate(p1, 0); double p1y = cs.getOrdinate(p1, 1); double p2x = cs.getOrdinate(p2, 0); double p2y = cs.getOrdinate(p2, 1); double qx = cs.getOrdinate(q, 0); double qy = cs.getOrdinate(q, 1); double dx1 = p2x - p1x; double dy1 = p2y - p1y; double dx2 = qx - p2x; double dy2 = qy - p2y; return RobustDeterminant.signOfDet2x2(dx1, dy1, dx2, dy2); } /** * Gets the dimension of the coordinates in a {@link Geometry}, * by reading it from a component {@link CoordinateSequence}. * This will be usually either 2 or 3. * * @param g a Geometry * @return the dimension of the coordinates in the Geometry */ public static int coordinateDimension(Geometry g) { // common fast cases if (g instanceof CurvedGeometry<?>) { return ((CurvedGeometry<?>) g).getCoordinatesDimension(); } if (g instanceof Point) return coordinateDimension(((Point) g).getCoordinateSequence()); if (g instanceof LineString) return coordinateDimension(((LineString) g).getCoordinateSequence()); if (g instanceof Polygon) return coordinateDimension(((Polygon) g).getExteriorRing() .getCoordinateSequence()); // dig down to find a CS CoordinateSequence cs = CoordinateSequenceFinder.find(g); return coordinateDimension(cs); } /** * Gets the effective dimension of a CoordinateSequence. * This is a workaround for the issue that CoordinateArraySequence * does not keep an accurate dimension - it always * reports dim=3, even if there is no Z ordinate (ie they are NaN). * This method checks for that case and reports dim=2. * Only the first coordinate is checked. * <p> * There is one small hole: if a CoordinateArraySequence is empty, * the dimension will be reported as 3. * * @param seq a CoordinateSequence * @return the effective dimension of the coordinate sequence */ public static int coordinateDimension(CoordinateSequence seq) { if (seq == null) return 3; int dim = seq.getDimension(); if (dim != 3) return dim; // hack to handle issue that CoordinateArraySequence always reports // dimension = 3 // check if a Z value is NaN - if so, assume dim is 2 if (seq instanceof CoordinateArraySequence) { if (seq.size() > 0) { if (Double.isNaN(seq.getOrdinate(0, CoordinateSequence.Y))) return 1; if (Double.isNaN(seq.getOrdinate(0, CoordinateSequence.Z))) return 2; } } return 3; } /** * Returns true if the two geometries are equal in N dimensions (normal geometry equality is only 2D) * @param g1 * @param g2 * @return */ public static boolean equalsND(Geometry g1, Geometry g2) { // if not even in 2d, they are not equal if(!g1.equals(g2)) { return false; } int dim1 = coordinateDimension(g1); int dim2 = coordinateDimension(g2); if(dim1 != dim2) { return false; } if(dim1 == 2) { return true; } // ok, 2d equal, it means they have the same list of geometries and coordinate sequences, in the same order List<CoordinateSequence> sequences1 = CoordinateSequenceCollector.find(g1); List<CoordinateSequence> sequences2 = CoordinateSequenceCollector.find(g2); if(sequences1.size() != sequences2.size()) { return false; } CoordinateSequenceComparator comparator = new CoordinateSequenceComparator(); for (int i = 0; i < sequences1.size(); i++) { CoordinateSequence cs1 = sequences1.get(i); CoordinateSequence cs2 = sequences2.get(i); if(comparator.compare(cs1, cs2) != 0) { return false; } } return true; } private static class CoordinateSequenceFinder implements CoordinateSequenceFilter { public static CoordinateSequence find(Geometry g) { CoordinateSequenceFinder finder = new CoordinateSequenceFinder(); g.apply(finder); return finder.getSeq(); } private CoordinateSequence firstSeqFound = null; /** * Gets the coordinate sequence found (if any). * * @return the sequence found * @return null if no sequence could be found */ public CoordinateSequence getSeq() { return firstSeqFound; } public void filter(CoordinateSequence seq, int i) { if (firstSeqFound == null) firstSeqFound = seq; } public boolean isDone() { return firstSeqFound != null; } public boolean isGeometryChanged() { return false; } } private static class CoordinateSequenceCollector implements CoordinateSequenceFilter { public static List<CoordinateSequence> find(Geometry g) { CoordinateSequenceCollector finder = new CoordinateSequenceCollector(); g.apply(finder); return finder.getSequences(); } private List<CoordinateSequence> sequences = new ArrayList<>(); public List<CoordinateSequence> getSequences() { return sequences; } public void filter(CoordinateSequence seq, int i) { sequences.add(seq); } public boolean isDone() { return false; } public boolean isGeometryChanged() { return false; } } }