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* (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,
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package org.apache.lucene.geo;
import org.apache.lucene.index.PointValues.Relation;
2D geo line implementation represented as a balanced interval tree of edges.
Line Line2D
Construction takes O(n log n)
time for sorting and tree construction. relate()
are O(n)
, but for most practical lines are much faster than brute force.
/**
* 2D geo line implementation represented as a balanced interval tree of edges.
* <p>
* Line {@code Line2D} Construction takes {@code O(n log n)} time for sorting and tree construction.
* {@link #relate relate()} are {@code O(n)}, but for most practical lines are much faster than brute force.
*/
final class Line2D implements Component2D {
minimum Y of this geometry's bounding box area /** minimum Y of this geometry's bounding box area */
final private double minY;
maximum Y of this geometry's bounding box area /** maximum Y of this geometry's bounding box area */
final private double maxY;
minimum X of this geometry's bounding box area /** minimum X of this geometry's bounding box area */
final private double minX;
maximum X of this geometry's bounding box area /** maximum X of this geometry's bounding box area */
final private double maxX;
lines represented as a 2-d interval tree./** lines represented as a 2-d interval tree.*/
final private EdgeTree tree;
private Line2D(Line line) {
this.minY = line.minLat;
this.maxY = line.maxLat;
this.minX = line.minLon;
this.maxX = line.maxLon;
this.tree = EdgeTree.createTree(line.getLons(), line.getLats());
}
private Line2D(XYLine line) {
this.minY = line.minY;
this.maxY = line.maxY;
this.minX = line.minX;
this.maxX = line.maxX;
this.tree = EdgeTree.createTree(XYEncodingUtils.floatArrayToDoubleArray(line.getX()), XYEncodingUtils.floatArrayToDoubleArray(line.getY()));
}
@Override
public double getMinX() {
return minX;
}
@Override
public double getMaxX() {
return maxX;
}
@Override
public double getMinY() {
return minY;
}
@Override
public double getMaxY() {
return maxY;
}
@Override
public boolean contains(double x, double y) {
if (Component2D.containsPoint(x, y, this.minX, this.maxX, this.minY, this.maxY)) {
return tree.isPointOnLine(x, y);
}
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;
}
if (tree.crossesBox(minX, maxX, minY, maxY, true)) {
return Relation.CELL_CROSSES_QUERY;
}
return Relation.CELL_OUTSIDE_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;
}
return tree.crossesLine(minX, maxX, minY, maxY, aX, aY, bX, bY, true);
}
@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;
}
return 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);
}
@Override
public boolean containsLine(double minX, double maxX, double minY, double maxY,
double aX, double aY, double bX, double bY) {
// can be improved?
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) {
return false;
}
@Override
public WithinRelation withinPoint(double x, double y) {
return WithinRelation.DISJOINT;
}
@Override
public WithinRelation withinLine(double minX, double maxX, double minY, double maxY,
double aX, double aY, boolean ab, double bX, double bY) {
// can be improved?
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;
}
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;
}
create a Line2D from the provided LatLon Linestring /** create a Line2D from the provided LatLon Linestring */
static Component2D create(Line line) {
return new Line2D(line);
}
create a Line2D from the provided XY Linestring /** create a Line2D from the provided XY Linestring */
static Component2D create(XYLine line) {
return new Line2D(line);
}
}