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/*
* Copyright (C) 2019 The Android Open Source Project
*
* Licensed 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 android.telephony;
import android.annotation.NonNull;
import android.annotation.SystemApi;
import android.os.Build;
import android.text.TextUtils;
import java.util.ArrayList;
import java.util.List;
import java.util.stream.Collectors;
/**
* This utils class is specifically used for geo-targeting of CellBroadcast messages.
* The coordinates used by this utils class are latitude and longitude, but some algorithms in this
* class only use them as coordinates on plane, so the calculation will be inaccurate. So don't use
* this class for anything other then geo-targeting of cellbroadcast messages.
* @hide
*/
@SystemApi
public class CbGeoUtils {
/**
* This class is never instantiated
* @hide
*/
private CbGeoUtils() {}
/** Geometric interface. */
public interface Geometry {
/**
* Determines if the given point {@code p} is inside the geometry.
* @param p point in latitude, longitude format.
* @return {@code True} if the given point is inside the geometry.
*/
boolean contains(@NonNull LatLng p);
}
/**
* Tolerance for determining if the value is 0. If the absolute value of a value is less than
* this tolerance, it will be treated as 0.
* @hide
*/
public static final double EPS = 1e-7;
/**
* The radius of earth.
* @hide
*/
public static final int EARTH_RADIUS_METER = 6371 * 1000;
private static final String TAG = "CbGeoUtils";
// The TLV tags of WAC, defined in ATIS-0700041 5.2.3 WAC tag coding.
/** @hide */
public static final int GEO_FENCING_MAXIMUM_WAIT_TIME = 0x01;
/** @hide */
public static final int GEOMETRY_TYPE_POLYGON = 0x02;
/** @hide */
public static final int GEOMETRY_TYPE_CIRCLE = 0x03;
// The identifier of geometry in the encoded string.
/** @hide */
private static final String CIRCLE_SYMBOL = "circle";
/** @hide */
private static final String POLYGON_SYMBOL = "polygon";
/** Point represent by (latitude, longitude). */
public static class LatLng {
public final double lat;
public final double lng;
/**
* Constructor.
* @param lat latitude, range [-90, 90]
* @param lng longitude, range [-180, 180]
*/
public LatLng(double lat, double lng) {
this.lat = lat;
this.lng = lng;
}
/**
* @param p the point use to calculate the subtraction result.
* @return the result of this point subtract the given point {@code p}.
*/
@NonNull
public LatLng subtract(@NonNull LatLng p) {
return new LatLng(lat - p.lat, lng - p.lng);
}
/**
* Calculate the distance in meter between this point and the given point {@code p}.
* @param p the point use to calculate the distance.
* @return the distance in meter.
*/
public double distance(@NonNull LatLng p) {
double dlat = Math.sin(0.5 * Math.toRadians(lat - p.lat));
double dlng = Math.sin(0.5 * Math.toRadians(lng - p.lng));
double x = dlat * dlat
+ dlng * dlng * Math.cos(Math.toRadians(lat)) * Math.cos(Math.toRadians(p.lat));
return 2 * Math.atan2(Math.sqrt(x), Math.sqrt(1 - x)) * EARTH_RADIUS_METER;
}
@Override
public String toString() {
return "(" + lat + "," + lng + ")";
}
}
/**
* The class represents a simple polygon with at least 3 points.
* @hide
*/
public static class Polygon implements Geometry {
/**
* In order to reduce the loss of precision in floating point calculations, all vertices
* of the polygon are scaled. Set the value of scale to 1000 can take into account the
* actual distance accuracy of 1 meter if the EPS is 1e-7 during the calculation.
*/
private static final double SCALE = 1000.0;
private final List<LatLng> mVertices;
private final List<Point> mScaledVertices;
private final LatLng mOrigin;
/**
* Constructs a simple polygon from the given vertices. The adjacent two vertices are
* connected to form an edge of the polygon. The polygon has at least 3 vertices, and the
* last vertices and the first vertices must be adjacent.
*
* The longitude difference in the vertices should be less than 180 degree.
*/
public Polygon(@NonNull List<LatLng> vertices) {
mVertices = vertices;
// Find the point with smallest longitude as the mOrigin point.
int idx = 0;
for (int i = 1; i < vertices.size(); i++) {
if (vertices.get(i).lng < vertices.get(idx).lng) {
idx = i;
}
}
mOrigin = vertices.get(idx);
mScaledVertices = vertices.stream()
.map(latLng -> convertAndScaleLatLng(latLng))
.collect(Collectors.toList());
}
public List<LatLng> getVertices() {
return mVertices;
}
/**
* Check if the given point {@code p} is inside the polygon. This method counts the number
* of times the polygon winds around the point P, A.K.A "winding number". The point is
* outside only when this "winding number" is 0.
*
* If a point is on the edge of the polygon, it is also considered to be inside the polygon.
*/
@Override
public boolean contains(LatLng latLng) {
Point p = convertAndScaleLatLng(latLng);
int n = mScaledVertices.size();
int windingNumber = 0;
for (int i = 0; i < n; i++) {
Point a = mScaledVertices.get(i);
Point b = mScaledVertices.get((i + 1) % n);
// CCW is counterclockwise
// CCW = ab x ap
// CCW > 0 -> ap is on the left side of ab
// CCW == 0 -> ap is on the same line of ab
// CCW < 0 -> ap is on the right side of ab
int ccw = sign(crossProduct(b.subtract(a), p.subtract(a)));
if (ccw == 0) {
if (Math.min(a.x, b.x) <= p.x && p.x <= Math.max(a.x, b.x)
&& Math.min(a.y, b.y) <= p.y && p.y <= Math.max(a.y, b.y)) {
return true;
}
} else {
if (sign(a.y - p.y) <= 0) {
// upward crossing
if (ccw > 0 && sign(b.y - p.y) > 0) {
++windingNumber;
}
} else {
// downward crossing
if (ccw < 0 && sign(b.y - p.y) <= 0) {
--windingNumber;
}
}
}
}
return windingNumber != 0;
}
/**
* Move the given point {@code latLng} to the coordinate system with {@code mOrigin} as the
* origin and scale it. {@code mOrigin} is selected from the vertices of a polygon, it has
* the smallest longitude value among all of the polygon vertices.
*
* @param latLng the point need to be converted and scaled.
* @Return a {@link Point} object.
*/
private Point convertAndScaleLatLng(LatLng latLng) {
double x = latLng.lat - mOrigin.lat;
double y = latLng.lng - mOrigin.lng;
// If the point is in different hemispheres(western/eastern) than the mOrigin, and the
// edge between them cross the 180th meridian, then its relative coordinates will be
// extended.
// For example, suppose the longitude of the mOrigin is -178, and the longitude of the
// point to be converted is 175, then the longitude after the conversion is -8.
// calculation: (-178 - 8) - (-178).
if (sign(mOrigin.lng) != 0 && sign(mOrigin.lng) != sign(latLng.lng)) {
double distCross0thMeridian = Math.abs(mOrigin.lng) + Math.abs(latLng.lng);
if (sign(distCross0thMeridian * 2 - 360) > 0) {
y = sign(mOrigin.lng) * (360 - distCross0thMeridian);
}
}
return new Point(x * SCALE, y * SCALE);
}
private static double crossProduct(Point a, Point b) {
return a.x * b.y - a.y * b.x;
}
static final class Point {
public final double x;
public final double y;
Point(double x, double y) {
this.x = x;
this.y = y;
}
public Point subtract(Point p) {
return new Point(x - p.x, y - p.y);
}
}
@Override
public String toString() {
String str = "Polygon: ";
if (Build.IS_DEBUGGABLE) {
str += mVertices;
}
return str;
}
}
/**
* The class represents a circle.
* @hide
*/
public static class Circle implements Geometry {
private final LatLng mCenter;
private final double mRadiusMeter;
public Circle(LatLng center, double radiusMeter) {
this.mCenter = center;
this.mRadiusMeter = radiusMeter;
}
public LatLng getCenter() {
return mCenter;
}
public double getRadius() {
return mRadiusMeter;
}
@Override
public boolean contains(LatLng p) {
return mCenter.distance(p) <= mRadiusMeter;
}
@Override
public String toString() {
String str = "Circle: ";
if (Build.IS_DEBUGGABLE) {
str += mCenter + ", radius = " + mRadiusMeter;
}
return str;
}
}
/**
* Parse the geometries from the encoded string {@code str}. The string must follow the
* geometry encoding specified by {@link android.provider.Telephony.CellBroadcasts#GEOMETRIES}.
* @hide
*/
@NonNull
public static List<Geometry> parseGeometriesFromString(@NonNull String str) {
List<Geometry> geometries = new ArrayList<>();
for (String geometryStr : str.split("\\s*;\\s*")) {
String[] geoParameters = geometryStr.split("\\s*\\|\\s*");
switch (geoParameters[0]) {
case CIRCLE_SYMBOL:
geometries.add(new Circle(parseLatLngFromString(geoParameters[1]),
Double.parseDouble(geoParameters[2])));
break;
case POLYGON_SYMBOL:
List<LatLng> vertices = new ArrayList<>(geoParameters.length - 1);
for (int i = 1; i < geoParameters.length; i++) {
vertices.add(parseLatLngFromString(geoParameters[i]));
}
geometries.add(new Polygon(vertices));
break;
default:
Rlog.e(TAG, "Invalid geometry format " + geometryStr);
}
}
return geometries;
}
/**
* Encode a list of geometry objects to string. The encoding format is specified by
* {@link android.provider.Telephony.CellBroadcasts#GEOMETRIES}.
*
* @param geometries the list of geometry objects need to be encoded.
* @return the encoded string.
* @hide
*/
@NonNull
public static String encodeGeometriesToString(List<Geometry> geometries) {
if (geometries == null || geometries.isEmpty()) return "";
return geometries.stream()
.map(geometry -> encodeGeometryToString(geometry))
.filter(encodedStr -> !TextUtils.isEmpty(encodedStr))
.collect(Collectors.joining(";"));
}
/**
* Encode the geometry object to string. The encoding format is specified by
* {@link android.provider.Telephony.CellBroadcasts#GEOMETRIES}.
* @param geometry the geometry object need to be encoded.
* @return the encoded string.
* @hide
*/
@NonNull
private static String encodeGeometryToString(@NonNull Geometry geometry) {
StringBuilder sb = new StringBuilder();
if (geometry instanceof Polygon) {
sb.append(POLYGON_SYMBOL);
for (LatLng latLng : ((Polygon) geometry).getVertices()) {
sb.append("|");
sb.append(latLng.lat);
sb.append(",");
sb.append(latLng.lng);
}
} else if (geometry instanceof Circle) {
sb.append(CIRCLE_SYMBOL);
Circle circle = (Circle) geometry;
// Center
sb.append("|");
sb.append(circle.getCenter().lat);
sb.append(",");
sb.append(circle.getCenter().lng);
// Radius
sb.append("|");
sb.append(circle.getRadius());
} else {
Rlog.e(TAG, "Unsupported geometry object " + geometry);
return null;
}
return sb.toString();
}
/**
* Parse {@link LatLng} from {@link String}. Latitude and longitude are separated by ",".
* Example: "13.56,-55.447".
*
* @param str encoded lat/lng string.
* @Return {@link LatLng} object.
* @hide
*/
@NonNull
public static LatLng parseLatLngFromString(@NonNull String str) {
String[] latLng = str.split("\\s*,\\s*");
return new LatLng(Double.parseDouble(latLng[0]), Double.parseDouble(latLng[1]));
}
/**
* @Return the sign of the given value {@code value} with the specified tolerance. Return 1
* means the sign is positive, -1 means negative, 0 means the value will be treated as 0.
* @hide
*/
public static int sign(double value) {
if (value > EPS) return 1;
if (value < -EPS) return -1;
return 0;
}
}