| /* |
| * Licensed to the Apache Software Foundation (ASF) under one or more |
| * contributor license agreements. See the NOTICE file distributed with |
| * this work for additional information regarding copyright ownership. |
| * The ASF licenses this file to You under the Apache License, Version 2.0 |
| * (the "License"); you may not use this file except in compliance with |
| * the License. You may obtain a copy of the License at |
| * |
| * http://www.apache.org/licenses/LICENSE-2.0 |
| * |
| * Unless required by applicable law or agreed to in writing, software |
| * distributed under the License is distributed on an "AS IS" BASIS, |
| * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. |
| * See the License for the specific language governing permissions and |
| * limitations under the License. |
| */ |
| package org.apache.lucene.geo; |
| |
| import org.apache.lucene.index.PointValues.Relation; |
| |
| /** |
| * 2D polygon implementation represented as a balanced interval tree of edges. |
| * |
| * <p>Loosely based on the algorithm described in <a |
| * href="http://www-ma2.upc.es/geoc/Schirra-pointPolygon.pdf"> |
| * http://www-ma2.upc.es/geoc/Schirra-pointPolygon.pdf</a>. |
| */ |
| final class Polygon2D implements Component2D { |
| /** minimum Y of this geometry's bounding box area */ |
| private final double minY; |
| /** maximum Y of this geometry's bounding box area */ |
| private final double maxY; |
| /** minimum X of this geometry's bounding box area */ |
| private final double minX; |
| /** maximum X of this geometry's bounding box area */ |
| private final double maxX; |
| /** tree of holes, or null */ |
| protected final Component2D holes; |
| /** Edges of the polygon represented as a 2-d interval tree. */ |
| final EdgeTree tree; |
| |
| private Polygon2D( |
| final double minX, |
| final double maxX, |
| final double minY, |
| final double maxY, |
| double[] x, |
| double[] y, |
| Component2D holes) { |
| this.minY = minY; |
| this.maxY = maxY; |
| this.minX = minX; |
| this.maxX = maxX; |
| this.holes = holes; |
| this.tree = EdgeTree.createTree(x, y); |
| } |
| |
| private Polygon2D(XYPolygon polygon, Component2D holes) { |
| this( |
| polygon.minX, |
| polygon.maxX, |
| polygon.minY, |
| polygon.maxY, |
| XYEncodingUtils.floatArrayToDoubleArray(polygon.getPolyX()), |
| XYEncodingUtils.floatArrayToDoubleArray(polygon.getPolyY()), |
| holes); |
| } |
| |
| private Polygon2D(Polygon polygon, Component2D holes) { |
| this( |
| polygon.minLon, |
| polygon.maxLon, |
| polygon.minLat, |
| polygon.maxLat, |
| polygon.getPolyLons(), |
| polygon.getPolyLats(), |
| holes); |
| } |
| |
| @Override |
| public double getMinX() { |
| return minX; |
| } |
| |
| @Override |
| public double getMaxX() { |
| return maxX; |
| } |
| |
| @Override |
| public double getMinY() { |
| return minY; |
| } |
| |
| @Override |
| public double getMaxY() { |
| return maxY; |
| } |
| |
| /** |
| * Returns true if the point is contained within this polygon. |
| * |
| * <p>See <a href="https://www.ecse.rpi.edu/~wrf/Research/Short_Notes/pnpoly.html"> |
| * https://www.ecse.rpi.edu/~wrf/Research/Short_Notes/pnpoly.html</a> for more information. |
| */ |
| @Override |
| public boolean contains(double x, double y) { |
| if (Component2D.containsPoint(x, y, minX, maxX, minY, maxY) && tree.contains(x, y)) { |
| return holes == null || holes.contains(x, y) == false; |
| } |
| return false; |
| } |
| |
| @Override |
| public Relation relate(double minX, double maxX, double minY, double maxY) { |
| if (Component2D.disjoint(this.minX, this.maxX, this.minY, this.maxY, minX, maxX, minY, maxY)) { |
| return Relation.CELL_OUTSIDE_QUERY; |
| } |
| if (Component2D.within(this.minX, this.maxX, this.minY, this.maxY, minX, maxX, minY, maxY)) { |
| return Relation.CELL_CROSSES_QUERY; |
| } |
| // check any holes |
| if (holes != null) { |
| Relation holeRelation = holes.relate(minX, maxX, minY, maxY); |
| if (holeRelation == Relation.CELL_CROSSES_QUERY) { |
| return Relation.CELL_CROSSES_QUERY; |
| } else if (holeRelation == Relation.CELL_INSIDE_QUERY) { |
| return Relation.CELL_OUTSIDE_QUERY; |
| } |
| } |
| // check each corner: if < 4 && > 0 are present, its cheaper than crossesSlowly |
| int numCorners = numberOfCorners(minX, maxX, minY, maxY); |
| if (numCorners == 4) { |
| if (tree.crossesBox(minX, maxX, minY, maxY, true)) { |
| return Relation.CELL_CROSSES_QUERY; |
| } |
| return Relation.CELL_INSIDE_QUERY; |
| } else if (numCorners == 0) { |
| if (Component2D.containsPoint(tree.x1, tree.y1, minX, maxX, minY, maxY)) { |
| return Relation.CELL_CROSSES_QUERY; |
| } |
| if (tree.crossesBox(minX, maxX, minY, maxY, true)) { |
| return Relation.CELL_CROSSES_QUERY; |
| } |
| return Relation.CELL_OUTSIDE_QUERY; |
| } |
| return Relation.CELL_CROSSES_QUERY; |
| } |
| |
| @Override |
| public boolean intersectsLine( |
| double minX, |
| double maxX, |
| double minY, |
| double maxY, |
| double aX, |
| double aY, |
| double bX, |
| double bY) { |
| if (Component2D.disjoint(this.minX, this.maxX, this.minY, this.maxY, minX, maxX, minY, maxY)) { |
| return false; |
| } |
| if (contains(aX, aY) |
| || contains(bX, bY) |
| || tree.crossesLine(minX, maxX, minY, maxY, aX, aY, bX, bY, true)) { |
| return holes == null || holes.containsLine(minX, maxX, minY, maxY, aX, aY, bX, bY) == false; |
| } |
| return false; |
| } |
| |
| @Override |
| public boolean intersectsTriangle( |
| double minX, |
| double maxX, |
| double minY, |
| double maxY, |
| double aX, |
| double aY, |
| double bX, |
| double bY, |
| double cX, |
| double cY) { |
| if (Component2D.disjoint(this.minX, this.maxX, this.minY, this.maxY, minX, maxX, minY, maxY)) { |
| return false; |
| } |
| if (contains(aX, aY) |
| || contains(bX, bY) |
| || contains(cX, cY) |
| || Component2D.pointInTriangle( |
| minX, maxX, minY, maxY, tree.x1, tree.y1, aX, aY, bX, bY, cX, cY) |
| || tree.crossesTriangle(minX, maxX, minY, maxY, aX, aY, bX, bY, cX, cY, true)) { |
| return holes == null |
| || holes.containsTriangle(minX, maxX, minY, maxY, aX, aY, bX, bY, cX, cY) == false; |
| } |
| return false; |
| } |
| |
| @Override |
| public boolean containsLine( |
| double minX, |
| double maxX, |
| double minY, |
| double maxY, |
| double aX, |
| double aY, |
| double bX, |
| double bY) { |
| if (Component2D.disjoint(this.minX, this.maxX, this.minY, this.maxY, minX, maxX, minY, maxY)) { |
| return false; |
| } |
| if (contains(aX, aY) |
| && contains(bX, bY) |
| && tree.crossesLine(minX, maxX, minY, maxY, aX, aY, bX, bY, false) == false) { |
| return holes == null || holes.intersectsLine(minX, maxX, minY, maxY, aX, aY, bX, bY) == false; |
| } |
| return false; |
| } |
| |
| @Override |
| public boolean containsTriangle( |
| double minX, |
| double maxX, |
| double minY, |
| double maxY, |
| double aX, |
| double aY, |
| double bX, |
| double bY, |
| double cX, |
| double cY) { |
| if (Component2D.disjoint(this.minX, this.maxX, this.minY, this.maxY, minX, maxX, minY, maxY)) { |
| return false; |
| } |
| if (contains(aX, aY) |
| && contains(bX, bY) |
| && contains(cX, cY) |
| && tree.crossesTriangle(minX, maxX, minY, maxY, aX, aY, bX, bY, cX, cY, false) == false) { |
| return holes == null |
| || holes.intersectsTriangle(minX, maxX, minY, maxY, aX, aY, bX, bY, cX, cY) == false; |
| } |
| return false; |
| } |
| |
| @Override |
| public WithinRelation withinPoint(double x, double y) { |
| return contains(x, y) ? WithinRelation.NOTWITHIN : WithinRelation.DISJOINT; |
| } |
| |
| @Override |
| public WithinRelation withinLine( |
| double minX, |
| double maxX, |
| double minY, |
| double maxY, |
| double aX, |
| double aY, |
| boolean ab, |
| double bX, |
| double bY) { |
| if (ab == true |
| && Component2D.disjoint(this.minX, this.maxX, this.minY, this.maxY, minX, maxX, minY, maxY) |
| == false |
| && tree.crossesLine(minX, maxX, minY, maxY, aX, aY, bX, bY, true)) { |
| return WithinRelation.NOTWITHIN; |
| } |
| return WithinRelation.DISJOINT; |
| } |
| |
| @Override |
| public WithinRelation withinTriangle( |
| double minX, |
| double maxX, |
| double minY, |
| double maxY, |
| double aX, |
| double aY, |
| boolean ab, |
| double bX, |
| double bY, |
| boolean bc, |
| double cX, |
| double cY, |
| boolean ca) { |
| if (Component2D.disjoint(this.minX, this.maxX, this.minY, this.maxY, minX, maxX, minY, maxY)) { |
| return WithinRelation.DISJOINT; |
| } |
| |
| // if any of the points is inside the polygon, the polygon cannot be within this indexed |
| // shape because points belong to the original indexed shape. |
| if (contains(aX, aY) || contains(bX, bY) || contains(cX, cY)) { |
| return WithinRelation.NOTWITHIN; |
| } |
| |
| WithinRelation relation = WithinRelation.DISJOINT; |
| // if any of the edges intersects an the edge belongs to the shape then it cannot be within. |
| // if it only intersects edges that do not belong to the shape, then it is a candidate |
| // we skip edges at the dateline to support shapes crossing it |
| if (tree.crossesLine(minX, maxX, minY, maxY, aX, aY, bX, bY, true)) { |
| if (ab == true) { |
| return WithinRelation.NOTWITHIN; |
| } else { |
| relation = WithinRelation.CANDIDATE; |
| } |
| } |
| |
| if (tree.crossesLine(minX, maxX, minY, maxY, bX, bY, cX, cY, true)) { |
| if (bc == true) { |
| return WithinRelation.NOTWITHIN; |
| } else { |
| relation = WithinRelation.CANDIDATE; |
| } |
| } |
| if (tree.crossesLine(minX, maxX, minY, maxY, cX, cY, aX, aY, true)) { |
| if (ca == true) { |
| return WithinRelation.NOTWITHIN; |
| } else { |
| relation = WithinRelation.CANDIDATE; |
| } |
| } |
| |
| // if any of the edges crosses and edge that does not belong to the shape |
| // then it is a candidate for within |
| if (relation == WithinRelation.CANDIDATE) { |
| return WithinRelation.CANDIDATE; |
| } |
| |
| // Check if shape is within the triangle |
| if (Component2D.pointInTriangle( |
| minX, maxX, minY, maxY, tree.x1, tree.y1, aX, aY, bX, bY, cX, cY) |
| == true) { |
| return WithinRelation.CANDIDATE; |
| } |
| return relation; |
| } |
| |
| // returns 0, 4, or something in between |
| private int numberOfCorners(double minX, double maxX, double minY, double maxY) { |
| int containsCount = 0; |
| if (contains(minX, minY)) { |
| containsCount++; |
| } |
| if (contains(maxX, minY)) { |
| containsCount++; |
| } |
| if (containsCount == 1) { |
| return containsCount; |
| } |
| if (contains(maxX, maxY)) { |
| containsCount++; |
| } |
| if (containsCount == 2) { |
| return containsCount; |
| } |
| if (contains(minX, maxY)) { |
| containsCount++; |
| } |
| return containsCount; |
| } |
| |
| /** Builds a Polygon2D from LatLon polygon */ |
| static Component2D create(Polygon polygon) { |
| Polygon gonHoles[] = polygon.getHoles(); |
| Component2D holes = null; |
| if (gonHoles.length > 0) { |
| holes = LatLonGeometry.create(gonHoles); |
| } |
| return new Polygon2D(polygon, holes); |
| } |
| |
| /** Builds a Polygon2D from XY polygon */ |
| static Component2D create(XYPolygon polygon) { |
| XYPolygon gonHoles[] = polygon.getHoles(); |
| Component2D holes = null; |
| if (gonHoles.length > 0) { |
| holes = XYGeometry.create(gonHoles); |
| } |
| return new Polygon2D(polygon, holes); |
| } |
| } |