/******************************************************************************* * Copyright (c) 2015 Voyager Search and MITRE * All rights reserved. This program and the accompanying materials * are made available under the terms of the Apache License, Version 2.0 which * accompanies this distribution and is available at * http://www.apache.org/licenses/LICENSE-2.0.txt ******************************************************************************/ package org.locationtech.spatial4j.shape.jts; import org.locationtech.spatial4j.context.SpatialContext; import org.locationtech.spatial4j.context.jts.JtsSpatialContext; import org.locationtech.spatial4j.distance.CartesianDistCalc; import org.locationtech.spatial4j.exception.InvalidShapeException; import org.locationtech.spatial4j.shape.*; import org.locationtech.spatial4j.shape.Point; import org.locationtech.spatial4j.shape.impl.BBoxCalculator; import org.locationtech.spatial4j.shape.impl.BufferedLineString; import org.locationtech.spatial4j.shape.impl.RectangleImpl; import com.vividsolutions.jts.geom.*; import com.vividsolutions.jts.geom.prep.PreparedGeometry; import com.vividsolutions.jts.geom.prep.PreparedGeometryFactory; import com.vividsolutions.jts.operation.union.UnaryUnionOp; import com.vividsolutions.jts.operation.valid.IsValidOp; import java.util.ArrayList; import java.util.Collection; import java.util.List; /** * Wraps a JTS {@link Geometry} (i.e. may be a polygon or basically anything). * JTS does a great deal of the hard work, but there is work here in handling * dateline wrap. */ public class JtsGeometry extends BaseShape<JtsSpatialContext> { /** System property boolean that can disable auto validation in an assert. */ public static final String SYSPROP_ASSERT_VALIDATE = "spatial4j.JtsGeometry.assertValidate"; private final Geometry geom;//cannot be a direct instance of GeometryCollection as it doesn't support relate() private final boolean hasArea; private final Rectangle bbox; protected PreparedGeometry preparedGeometry; protected boolean validated = false; public JtsGeometry(Geometry geom, JtsSpatialContext ctx, boolean dateline180Check, boolean allowMultiOverlap) { super(ctx); //GeometryCollection isn't supported in relate() if (geom.getClass().equals(GeometryCollection.class)) { geom = narrowCollectionIfPossible((GeometryCollection)geom); if (geom == null) { throw new IllegalArgumentException("JtsGeometry does not support GeometryCollection but does support its subclasses."); } } //NOTE: All this logic is fairly expensive. There are some short-circuit checks though. if (geom.isEmpty()) { bbox = new RectangleImpl(Double.NaN, Double.NaN, Double.NaN, Double.NaN, this.ctx); } else if (ctx.isGeo()) { //Unwraps the geometry across the dateline so it exceeds the standard geo bounds (-180 to +180). if (dateline180Check) unwrapDateline(geom);//potentially modifies geom //If given multiple overlapping polygons, fix it by union if (allowMultiOverlap) geom = unionGeometryCollection(geom);//returns same or new geom //Cuts an unwrapped geometry back into overlaid pages in the standard geo bounds. geom = cutUnwrappedGeomInto360(geom);//returns same or new geom assert geom.getEnvelopeInternal().getWidth() <= 360; assert ! geom.getClass().equals(GeometryCollection.class) : "GeometryCollection unsupported";//double check //Compute bbox bbox = computeGeoBBox(geom); } else {//not geo //If given multiple overlapping polygons, fix it by union if (allowMultiOverlap) geom = unionGeometryCollection(geom);//returns same or new geom Envelope env = geom.getEnvelopeInternal(); bbox = new RectangleImpl(env.getMinX(), env.getMaxX(), env.getMinY(), env.getMaxY(), ctx); } geom.getEnvelopeInternal();//ensure envelope is cached internally, which is lazy evaluated. Keeps this thread-safe. this.geom = geom; assert assertValidate();//kinda expensive but caches valid state this.hasArea = !((geom instanceof Lineal) || (geom instanceof Puntal)); } /** * Attempts to retype a geometry collection under the following circumstances, returning * null if the collection can not be retyped. * <ul> * <li>Single object collections are collapsed down to the object.</li> * <li>Homogenous collections are recast as the appropriate subclass.</li> * </ul> * * @see GeometryFactory#buildGeometry(Collection) */ private Geometry narrowCollectionIfPossible(GeometryCollection gc) { List<Geometry> geoms = new ArrayList<>(); for (int i = 0; i < gc.getNumGeometries(); i++) { geoms.add(gc.getGeometryN(i)); } Geometry result = gc.getFactory().buildGeometry(geoms); return !result.getClass().equals(GeometryCollection.class) ? result : null; } /** called via assertion */ private boolean assertValidate() { String assertValidate = System.getProperty(SYSPROP_ASSERT_VALIDATE); if (assertValidate == null || Boolean.parseBoolean(assertValidate)) validate(); return true; } /** * Validates the shape, throwing a descriptive error if it isn't valid. Note that this * is usually called automatically by default, but that can be disabled. * * @throws InvalidShapeException with descriptive error if the shape isn't valid */ public void validate() throws InvalidShapeException { if (!validated) { IsValidOp isValidOp = new IsValidOp(geom); if (!isValidOp.isValid()) throw new InvalidShapeException(isValidOp.getValidationError().toString()); validated = true; } } /** * Adds an index to this class internally to compute spatial relations faster. In JTS this * is called a {@link com.vividsolutions.jts.geom.prep.PreparedGeometry}. This * isn't done by default because it takes some time to do the optimization, and it uses more * memory. Calling this method isn't thread-safe so be careful when this is done. If it was * already indexed then nothing happens. */ public void index() { if (preparedGeometry == null) preparedGeometry = PreparedGeometryFactory.prepare(geom); } @Override public boolean isEmpty() { return bbox.isEmpty(); // fast } /** Given {@code geoms} which has already been checked for being in world * bounds, return the minimal longitude range of the bounding box. */ protected Rectangle computeGeoBBox(Geometry geoms) { final Envelope env = geoms.getEnvelopeInternal();//for minY & maxY (simple) if (ctx.isGeo() && env.getWidth() > 180 && geoms.getNumGeometries() > 1) { // This is ShapeCollection's bbox algorithm BBoxCalculator bboxCalc = new BBoxCalculator(ctx); for (int i = 0; i < geoms.getNumGeometries(); i++ ) { Envelope envI = geoms.getGeometryN(i).getEnvelopeInternal(); bboxCalc.expandXRange(envI.getMinX(), envI.getMaxX()); if (bboxCalc.doesXWorldWrap()) break; // can't grow any bigger } return new RectangleImpl(bboxCalc.getMinX(), bboxCalc.getMaxX(), env.getMinY(), env.getMaxY(), ctx); } else { return new RectangleImpl(env.getMinX(), env.getMaxX(), env.getMinY(), env.getMaxY(), ctx); } } @Override public JtsGeometry getBuffered(double distance, SpatialContext ctx) { //TODO doesn't work correctly across the dateline. The buffering needs to happen // when it's transiently unrolled, prior to being sliced. return this.ctx.makeShape(geom.buffer(distance), true, true); } @Override public boolean hasArea() { return hasArea; } @Override public double getArea(SpatialContext ctx) { double geomArea = geom.getArea(); if (ctx == null || geomArea == 0) return geomArea; //Use the area proportional to how filled the bbox is. double bboxArea = getBoundingBox().getArea(null);//plain 2d area assert bboxArea >= geomArea; double filledRatio = geomArea / bboxArea; return getBoundingBox().getArea(ctx) * filledRatio; // (Future: if we know we use an equal-area projection then we don't need to // estimate) } @Override public Rectangle getBoundingBox() { return bbox; } @Override public JtsPoint getCenter() { if (isEmpty()) //geom.getCentroid == null return new JtsPoint(ctx.getGeometryFactory().createPoint((Coordinate)null), ctx); return new JtsPoint(geom.getCentroid(), ctx); } @Override public SpatialRelation relate(Shape other) { if (other instanceof Point) return relate((Point)other); else if (other instanceof Rectangle) return relate((Rectangle) other); else if (other instanceof Circle) return relate((Circle) other); else if (other instanceof JtsGeometry) return relate((JtsGeometry) other); else if (other instanceof BufferedLineString) throw new UnsupportedOperationException("Can't use BufferedLineString with JtsGeometry"); return other.relate(this).transpose(); } public SpatialRelation relate(Point pt) { if (!getBoundingBox().relate(pt).intersects()) return SpatialRelation.DISJOINT; Geometry ptGeom; if (pt instanceof JtsPoint) ptGeom = ((JtsPoint)pt).getGeom(); else ptGeom = ctx.getGeometryFactory().createPoint(new Coordinate(pt.getX(), pt.getY())); return relate(ptGeom);//is point-optimized } public SpatialRelation relate(Rectangle rectangle) { SpatialRelation bboxR = bbox.relate(rectangle); if (bboxR == SpatialRelation.WITHIN || bboxR == SpatialRelation.DISJOINT) return bboxR; // FYI, the right answer could still be DISJOINT or WITHIN, but we don't know yet. return relate(ctx.getGeometryFrom(rectangle)); } public SpatialRelation relate(final Circle circle) { SpatialRelation bboxR = bbox.relate(circle); if (bboxR == SpatialRelation.WITHIN || bboxR == SpatialRelation.DISJOINT) return bboxR; // The result could be anything still. final SpatialRelation[] result = {null}; // Visit each geometry (this geom might contain others). geom.apply(new GeometryFilter() { // We use cartesian math. It's a limitation/assumption when working with JTS. When geo=true (i.e. we're using // WGS84 instead of a projected coordinate system), the errors here will be pretty terrible east-west. At // 60 degrees latitude, the circle will work as if it has half the width it should. // Instead, consider converting the circle to a polygon first (not great but better), or projecting both first. // Ideally, use Geo3D. final CartesianDistCalc calcSqd = CartesianDistCalc.INSTANCE_SQUARED; final double radiusSquared = circle.getRadius() * circle.getRadius(); final Geometry ctrGeom = ctx.getGeometryFrom(circle.getCenter()); @Override public void filter(Geometry geom) { if (result[0] == SpatialRelation.INTERSECTS || result[0] == SpatialRelation.CONTAINS) { // a previous filter(geom) call had a result that won't be changed no matter how this geom relates return; } if (geom instanceof Polygon) { Polygon polygon = (Polygon) geom; SpatialRelation rel = relateEnclosedRing((LinearRing) polygon.getExteriorRing()); // if rel == INTERSECTS or WITHIN or DISJOINT; done. But CONTAINS... if (rel == SpatialRelation.CONTAINS) { // if the poly outer ring contains the circle, check the holes. Could become DISJOINT or INTERSECTS. HOLE_LOOP: for (int i = 0; i < polygon.getNumInteriorRing(); i++){ // TODO short-circuit based on the hole's bbox if it's disjoint or within the circle. switch (relateEnclosedRing((LinearRing) polygon.getInteriorRingN(i))) { case WITHIN:// fall through case INTERSECTS: rel = SpatialRelation.INTERSECTS; break HOLE_LOOP; case CONTAINS: rel = SpatialRelation.DISJOINT; break HOLE_LOOP; //case DISJOINT: break; // continue hole loop } } } result[0] = rel.combine(result[0]); } else if (geom instanceof LineString) { LineString lineString = (LineString) geom; SpatialRelation rel = relateLineString(lineString); result[0] = rel.combine(result[0]); } else if (geom instanceof com.vividsolutions.jts.geom.Point) { com.vividsolutions.jts.geom.Point point = (com.vividsolutions.jts.geom.Point) geom; SpatialRelation rel = calcSqd.distance(circle.getCenter(), point.getX(), point.getY()) > radiusSquared ? SpatialRelation.DISJOINT : SpatialRelation.WITHIN; result[0] = rel.combine(result[0]); } // else it's going to be some GeometryCollection and we'll visit the contents. } /** As if the ring is the outer ring of a polygon */ SpatialRelation relateEnclosedRing(LinearRing ring) { SpatialRelation rel = relateLineString(ring); if (rel == SpatialRelation.DISJOINT && ctx.getGeometryFactory().createPolygon(ring, null).contains(ctrGeom)) { // If it contains the circle center point, then the result is CONTAINS rel = SpatialRelation.CONTAINS; } return rel; } SpatialRelation relateLineString(LineString lineString) { final CoordinateSequence seq = lineString.getCoordinateSequence(); final boolean isRing = lineString instanceof LinearRing; int numOutside = 0; // Compare the coordinates: for (int i = 0, numComparisons = 0; i < seq.size(); i++) { if (i == 0 && isRing) { continue; } numComparisons++; boolean outside = calcSqd.distance(circle.getCenter(), seq.getX(i), seq.getY(i)) > radiusSquared; if (outside) { numOutside++; } // If the comparisons have a mix of outside/inside, then we can short-circuit INTERSECTS. if (numComparisons != numOutside && numOutside != 0) { assert numComparisons > 1; return SpatialRelation.INTERSECTS; } } // Either all vertices are outside or inside, by this stage. if (numOutside == 0) { // all inside return SpatialRelation.WITHIN.combine(result[0]); } // They are all outside. // Check the edges (line segments) to see if any are inside. for (int i = 1; i < seq.size(); i++) { boolean outside = calcSqd.distanceToLineSegment( circle.getCenter(), seq.getX(i-1), seq.getY(i-1), seq.getX(i), seq.getY(i)) > radiusSquared; if (!outside) { return SpatialRelation.INTERSECTS; } } return SpatialRelation.DISJOINT; } }); return result[0] == null ? SpatialRelation.DISJOINT : result[0]; } public SpatialRelation relate(JtsGeometry jtsGeometry) { //don't bother checking bbox since geom.relate() does this already return relate(jtsGeometry.geom); } protected SpatialRelation relate(Geometry oGeom) { //see http://docs.geotools.org/latest/userguide/library/jts/dim9.html#preparedgeometry if (oGeom instanceof com.vividsolutions.jts.geom.Point) { if (preparedGeometry != null) return preparedGeometry.disjoint(oGeom) ? SpatialRelation.DISJOINT : SpatialRelation.CONTAINS; return geom.disjoint(oGeom) ? SpatialRelation.DISJOINT : SpatialRelation.CONTAINS; } if (preparedGeometry == null) return intersectionMatrixToSpatialRelation(geom.relate(oGeom)); else if (preparedGeometry.covers(oGeom)) return SpatialRelation.CONTAINS; else if (preparedGeometry.coveredBy(oGeom)) return SpatialRelation.WITHIN; else if (preparedGeometry.intersects(oGeom)) return SpatialRelation.INTERSECTS; return SpatialRelation.DISJOINT; } public static SpatialRelation intersectionMatrixToSpatialRelation(IntersectionMatrix matrix) { //As indicated in SpatialRelation javadocs, Spatial4j CONTAINS & WITHIN are // OGC's COVERS & COVEREDBY if (matrix.isCovers()) return SpatialRelation.CONTAINS; else if (matrix.isCoveredBy()) return SpatialRelation.WITHIN; else if (matrix.isDisjoint()) return SpatialRelation.DISJOINT; return SpatialRelation.INTERSECTS; } @Override public String toString() { return geom.toString(); } @Override public boolean equals(Object o) { if (this == o) return true; if (o == null || getClass() != o.getClass()) return false; JtsGeometry that = (JtsGeometry) o; return geom.equalsExact(that.geom);//fast equality for normalized geometries } @Override public int hashCode() { //FYI if geometry.equalsExact(that.geometry), then their envelopes are the same. return geom.getEnvelopeInternal().hashCode(); } public Geometry getGeom() { return geom; } /** * If <code>geom</code> spans the dateline, then this modifies it to be a * valid JTS geometry that extends to the right of the standard -180 to +180 * width such that some points are greater than +180 but some remain less. * Takes care to invoke {@link com.vividsolutions.jts.geom.Geometry#geometryChanged()} * if needed. * * @return The number of times the geometry spans the dateline. >= 0 */ private static int unwrapDateline(Geometry geom) { if (geom.getEnvelopeInternal().getWidth() < 180) return 0;//can't possibly cross the dateline final int[] crossings = {0};//an array so that an inner class can modify it. geom.apply(new GeometryFilter() { @Override public void filter(Geometry geom) { int cross = 0; if (geom instanceof LineString) {//note: LinearRing extends LineString if (geom.getEnvelopeInternal().getWidth() < 180) return;//can't possibly cross the dateline cross = unwrapDateline((LineString) geom); } else if (geom instanceof Polygon) { if (geom.getEnvelopeInternal().getWidth() < 180) return;//can't possibly cross the dateline cross = unwrapDateline((Polygon) geom); } else return; crossings[0] = Math.max(crossings[0], cross); } });//geom.apply() if (crossings[0] > 0) geom.geometryChanged();//applies to call component Geometries return crossings[0]; } /** See {@link #unwrapDateline(Geometry)}. */ private static int unwrapDateline(Polygon poly) { LineString exteriorRing = poly.getExteriorRing(); int cross = unwrapDateline(exteriorRing); if (cross > 0) { //TODO TEST THIS! Maybe bug if doesn't cross but is in another page? for(int i = 0; i < poly.getNumInteriorRing(); i++) { LineString innerLineString = poly.getInteriorRingN(i); unwrapDateline(innerLineString); for(int shiftCount = 0; ! exteriorRing.contains(innerLineString); shiftCount++) { if (shiftCount > cross) throw new IllegalArgumentException("The inner ring doesn't appear to be within the exterior: " +exteriorRing+" inner: "+innerLineString); shiftGeomByX(innerLineString, 360); } } } return cross; } /** See {@link #unwrapDateline(Geometry)}. */ private static int unwrapDateline(LineString lineString) { CoordinateSequence cseq = lineString.getCoordinateSequence(); int size = cseq.size(); if (size <= 1) return 0; int shiftX = 0;//invariant: == shiftXPage*360 int shiftXPage = 0; int shiftXPageMin = 0/* <= 0 */, shiftXPageMax = 0; /* >= 0 */ double prevX = cseq.getX(0); for(int i = 1; i < size; i++) { double thisX_orig = cseq.getX(i); assert thisX_orig >= -180 && thisX_orig <= 180 : "X not in geo bounds"; double thisX = thisX_orig + shiftX; if (prevX - thisX > 180) {//cross dateline from left to right thisX += 360; shiftX += 360; shiftXPage += 1; shiftXPageMax = Math.max(shiftXPageMax,shiftXPage); } else if (thisX - prevX > 180) {//cross dateline from right to left thisX -= 360; shiftX -= 360; shiftXPage -= 1; shiftXPageMin = Math.min(shiftXPageMin,shiftXPage); } if (shiftXPage != 0) cseq.setOrdinate(i, CoordinateSequence.X, thisX); prevX = thisX; } if (lineString instanceof LinearRing) { assert cseq.getCoordinate(0).equals(cseq.getCoordinate(size-1)); assert shiftXPage == 0;//starts and ends at 0 } assert shiftXPageMax >= 0 && shiftXPageMin <= 0; //Unfortunately we are shifting again; it'd be nice to be smarter and shift once shiftGeomByX(lineString, shiftXPageMin * -360); int crossings = shiftXPageMax - shiftXPageMin; return crossings; } private static void shiftGeomByX(Geometry geom, final int xShift) { if (xShift == 0) return; geom.apply(new CoordinateSequenceFilter() { @Override public void filter(CoordinateSequence seq, int i) { seq.setOrdinate(i, CoordinateSequence.X, seq.getX(i) + xShift ); } @Override public boolean isDone() { return false; } @Override public boolean isGeometryChanged() { return true; } }); } private static Geometry unionGeometryCollection(Geometry geom) { if (geom instanceof GeometryCollection) { return geom.union(); } return geom; } /** * This "pages" through standard geo boundaries offset by multiples of 360 * longitudinally that intersect geom, and the intersecting results of a page * and the geom are shifted into the standard -180 to +180 and added to a new * geometry that is returned. */ private static Geometry cutUnwrappedGeomInto360(Geometry geom) { Envelope geomEnv = geom.getEnvelopeInternal(); if (geomEnv.getMinX() >= -180 && geomEnv.getMaxX() <= 180) return geom; assert geom.isValid() : "geom"; //TODO opt: support geom's that start at negative pages -- // ... will avoid need to previously shift in unwrapDateline(geom). List<Geometry> geomList = new ArrayList<Geometry>(); //page 0 is the standard -180 to 180 range for (int page = 0; true; page++) { double minX = -180 + page * 360; if (geomEnv.getMaxX() <= minX) break; Geometry rect = geom.getFactory().toGeometry(new Envelope(minX, minX + 360, -90, 90)); assert rect.isValid() : "rect"; Geometry pageGeom = rect.intersection(geom);//JTS is doing some hard work assert pageGeom.isValid() : "pageGeom"; shiftGeomByX(pageGeom, page * -360); geomList.add(pageGeom); } return UnaryUnionOp.union(geomList); } // private static Geometry removePolyHoles(Geometry geom) { // //TODO this does a deep copy of geom even if no changes needed; be smarter // GeometryTransformer gTrans = new GeometryTransformer() { // @Override // protected Geometry transformPolygon(Polygon geom, Geometry parent) { // if (geom.getNumInteriorRing() == 0) // return geom; // return factory.createPolygon((LinearRing) geom.getExteriorRing(),null); // } // }; // return gTrans.transform(geom); // } // // private static Geometry snapAndClean(Geometry geom) { // return new GeometrySnapper(geom).snapToSelf(GeometrySnapper.computeOverlaySnapTolerance(geom), true); // } }