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Lucene Spatial shapes implemented using 3D planar geometry
/*
* 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.spatial3d.geom;
import java.io.IOException;
import java.io.InputStream;
import java.io.OutputStream;
/**
* Bounding box wider than PI but limited on three sides ( bottom lat, left lon, right lon).
*
* @lucene.internal
*/
class GeoWideNorthRectangle extends GeoBaseBBox {
/** Bottom latitude */
protected final double bottomLat;
/** Left longitude */
protected final double leftLon;
/** Right longitude */
protected final double rightLon;
/** The cosine of the middle latitude */
protected final double cosMiddleLat;
/** The lower right hand corner point */
protected final GeoPoint LRHC;
/** The lower left hand corner point */
protected final GeoPoint LLHC;
/** The bottom plane */
protected final SidedPlane bottomPlane;
/** The left plane */
protected final SidedPlane leftPlane;
/** The right plane */
protected final SidedPlane rightPlane;
/** Notable points for the bottom plane */
protected final GeoPoint[] bottomPlanePoints;
/** Notable points for the left plane */
protected final GeoPoint[] leftPlanePoints;
/** Notable points for the right plane */
protected final GeoPoint[] rightPlanePoints;
/** Center point */
protected final GeoPoint centerPoint;
/** Composite left/right bounds */
protected final EitherBound eitherBound;
/** A point on the edge */
protected final GeoPoint[] edgePoints;
/**
* Accepts only values in the following ranges: lat: {@code -PI/2 -> PI/2}, lon: {@code -PI ->
* PI}. Horizontal angle must be greater than or equal to PI.
*
* @param planetModel is the planet model.
* @param bottomLat is the bottom latitude.
* @param leftLon is the left longitude.
* @param rightLon is the right longitude.
*/
public GeoWideNorthRectangle(
final PlanetModel planetModel,
final double bottomLat,
final double leftLon,
double rightLon) {
super(planetModel);
// Argument checking
if (bottomLat > Math.PI * 0.5 || bottomLat < -Math.PI * 0.5) {
throw new IllegalArgumentException("Bottom latitude out of range");
}
if (leftLon < -Math.PI || leftLon > Math.PI) {
throw new IllegalArgumentException("Left longitude out of range");
}
if (rightLon < -Math.PI || rightLon > Math.PI) {
throw new IllegalArgumentException("Right longitude out of range");
}
double extent = rightLon - leftLon;
if (extent < 0.0) {
extent += 2.0 * Math.PI;
}
if (extent < GeoWideRectangle.MIN_WIDE_EXTENT) {
throw new IllegalArgumentException("Width of rectangle too small");
}
this.bottomLat = bottomLat;
this.leftLon = leftLon;
this.rightLon = rightLon;
final double sinBottomLat = Math.sin(bottomLat);
final double cosBottomLat = Math.cos(bottomLat);
final double sinLeftLon = Math.sin(leftLon);
final double cosLeftLon = Math.cos(leftLon);
final double sinRightLon = Math.sin(rightLon);
final double cosRightLon = Math.cos(rightLon);
// Now build the four points
this.LRHC =
new GeoPoint(
planetModel, sinBottomLat, sinRightLon, cosBottomLat, cosRightLon, bottomLat, rightLon);
this.LLHC =
new GeoPoint(
planetModel, sinBottomLat, sinLeftLon, cosBottomLat, cosLeftLon, bottomLat, leftLon);
final double middleLat = (Math.PI * 0.5 + bottomLat) * 0.5;
final double sinMiddleLat = Math.sin(middleLat);
this.cosMiddleLat = Math.cos(middleLat);
// Normalize
while (leftLon > rightLon) {
rightLon += Math.PI * 2.0;
}
final double middleLon = (leftLon + rightLon) * 0.5;
final double sinMiddleLon = Math.sin(middleLon);
final double cosMiddleLon = Math.cos(middleLon);
this.centerPoint =
new GeoPoint(planetModel, sinMiddleLat, sinMiddleLon, cosMiddleLat, cosMiddleLon);
this.bottomPlane = new SidedPlane(centerPoint, planetModel, sinBottomLat);
this.leftPlane = new SidedPlane(centerPoint, cosLeftLon, sinLeftLon);
this.rightPlane = new SidedPlane(centerPoint, cosRightLon, sinRightLon);
this.bottomPlanePoints = new GeoPoint[] {LLHC, LRHC};
this.leftPlanePoints = new GeoPoint[] {planetModel.NORTH_POLE, LLHC};
this.rightPlanePoints = new GeoPoint[] {planetModel.NORTH_POLE, LRHC};
this.eitherBound = new EitherBound();
this.edgePoints = new GeoPoint[] {planetModel.NORTH_POLE};
}
/**
* Constructor for deserialization.
*
* @param planetModel is the planet model.
* @param inputStream is the input stream.
*/
public GeoWideNorthRectangle(final PlanetModel planetModel, final InputStream inputStream)
throws IOException {
this(
planetModel,
SerializableObject.readDouble(inputStream),
SerializableObject.readDouble(inputStream),
SerializableObject.readDouble(inputStream));
}
@Override
public void write(final OutputStream outputStream) throws IOException {
SerializableObject.writeDouble(outputStream, bottomLat);
SerializableObject.writeDouble(outputStream, leftLon);
SerializableObject.writeDouble(outputStream, rightLon);
}
@Override
public GeoBBox expand(final double angle) {
final double newTopLat = Math.PI * 0.5;
final double newBottomLat = bottomLat - angle;
// Figuring out when we escalate to a special case requires some prefiguring
double currentLonSpan = rightLon - leftLon;
if (currentLonSpan < 0.0) {
currentLonSpan += Math.PI * 2.0;
}
double newLeftLon = leftLon - angle;
double newRightLon = rightLon + angle;
if (currentLonSpan + 2.0 * angle >= Math.PI * 2.0) {
newLeftLon = -Math.PI;
newRightLon = Math.PI;
}
return GeoBBoxFactory.makeGeoBBox(
planetModel, newTopLat, newBottomLat, newLeftLon, newRightLon);
}
@Override
public boolean isWithin(final double x, final double y, final double z) {
return bottomPlane.isWithin(x, y, z)
&& (leftPlane.isWithin(x, y, z) || rightPlane.isWithin(x, y, z));
}
@Override
public double getRadius() {
// Here we compute the distance from the middle point to one of the corners. However, we need
// to be careful to use the longest of three distances: the distance to a corner on the top;
// the distance to a corner on the bottom, and the distance to the right or left edge from the
// center.
final double centerAngle = (rightLon - (rightLon + leftLon) * 0.5) * cosMiddleLat;
final double bottomAngle = centerPoint.arcDistance(LLHC);
return Math.max(centerAngle, bottomAngle);
}
@Override
public GeoPoint getCenter() {
return centerPoint;
}
@Override
public GeoPoint[] getEdgePoints() {
return edgePoints;
}
@Override
public boolean intersects(
final Plane p, final GeoPoint[] notablePoints, final Membership... bounds) {
// Right and left bounds are essentially independent hemispheres; crossing into the wrong part
// of one requires crossing into the right part of the other. So intersection can ignore the
// left/right bounds.
return p.intersects(
planetModel, bottomPlane, notablePoints, bottomPlanePoints, bounds, eitherBound)
|| p.intersects(planetModel, leftPlane, notablePoints, leftPlanePoints, bounds, bottomPlane)
|| p.intersects(
planetModel, rightPlane, notablePoints, rightPlanePoints, bounds, bottomPlane);
}
@Override
public boolean intersects(final GeoShape geoShape) {
// Right and left bounds are essentially independent hemispheres; crossing into the wrong part
// of one requires crossing into the right part of the other. So intersection can ignore the
// left/right bounds.
return geoShape.intersects(bottomPlane, bottomPlanePoints, eitherBound)
|| geoShape.intersects(leftPlane, leftPlanePoints, bottomPlane)
|| geoShape.intersects(rightPlane, rightPlanePoints, bottomPlane);
}
@Override
public void getBounds(Bounds bounds) {
super.getBounds(bounds);
bounds
.isWide()
.addHorizontalPlane(planetModel, bottomLat, bottomPlane, eitherBound)
.addVerticalPlane(planetModel, leftLon, leftPlane, bottomPlane)
.addVerticalPlane(planetModel, rightLon, rightPlane, bottomPlane)
.addIntersection(planetModel, leftPlane, rightPlane, bottomPlane)
.addPoint(LLHC)
.addPoint(LRHC)
.addPoint(planetModel.NORTH_POLE);
}
@Override
protected double outsideDistance(
final DistanceStyle distanceStyle, final double x, final double y, final double z) {
final double bottomDistance =
distanceStyle.computeDistance(planetModel, bottomPlane, x, y, z, eitherBound);
// Because the rectangle exceeds 180 degrees, it is safe to compute the horizontally
// unbounded distance to both the left and the right and only take the minimum of the two.
final double leftDistance =
distanceStyle.computeDistance(planetModel, leftPlane, x, y, z, bottomPlane);
final double rightDistance =
distanceStyle.computeDistance(planetModel, rightPlane, x, y, z, bottomPlane);
final double LRHCDistance = distanceStyle.computeDistance(LRHC, x, y, z);
final double LLHCDistance = distanceStyle.computeDistance(LLHC, x, y, z);
return Math.min(
Math.min(bottomDistance, Math.min(leftDistance, rightDistance)),
Math.min(LRHCDistance, LLHCDistance));
}
@Override
public boolean equals(Object o) {
if (!(o instanceof GeoWideNorthRectangle)) {
return false;
}
GeoWideNorthRectangle other = (GeoWideNorthRectangle) o;
return super.equals(other) && other.LLHC.equals(LLHC) && other.LRHC.equals(LRHC);
}
@Override
public int hashCode() {
int result = super.hashCode();
result = 31 * result + LLHC.hashCode();
result = 31 * result + LRHC.hashCode();
return result;
}
@Override
public String toString() {
return "GeoWideNorthRectangle: {planetmodel="
+ planetModel
+ ", bottomlat="
+ bottomLat
+ "("
+ bottomLat * 180.0 / Math.PI
+ "), leftlon="
+ leftLon
+ "("
+ leftLon * 180.0 / Math.PI
+ "), rightlon="
+ rightLon
+ "("
+ rightLon * 180.0 / Math.PI
+ ")}";
}
/** Membership implementation representing a wide (more than 180 degree) bound. */
protected class EitherBound implements Membership {
/** Constructor. */
public EitherBound() {}
@Override
public boolean isWithin(final Vector v) {
return leftPlane.isWithin(v) || rightPlane.isWithin(v);
}
@Override
public boolean isWithin(final double x, final double y, final double z) {
return leftPlane.isWithin(x, y, z) || rightPlane.isWithin(x, y, z);
}
}
}
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