/* * 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.text.TextUtils; import com.android.internal.telephony.util.TelephonyUtils; import com.android.telephony.Rlog; import java.util.ArrayList; import java.util.List; import java.util.stream.Collectors; /** * This utils class is used for geo-fencing of CellBroadcast messages and is used by the cell * broadcast module. * * 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. * * More information regarding cell broadcast geo-fencing logic is laid out in 3GPP TS 23.041 and * ATIS-0700041. * @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"; /** A point represented 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 to subtract * @return the result of the subtraction */ @NonNull public LatLng subtract(@NonNull LatLng p) { return new LatLng(lat - p.lat, lng - p.lng); } /** * Calculate the distance in meters between this point and the given point {@code p}. * @param p the point used to calculate the distance. * @return the distance in meters. */ 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 + ")"; } /** * @hide */ @Override public boolean equals(Object o) { if (o == this) { return true; } if (!(o instanceof LatLng)) { return false; } LatLng l = (LatLng) o; return lat == l.lat && lng == l.lng; } } /** * A class representing a simple polygon with at least 3 points. This is used for geo-fencing * logic with cell broadcasts. More information regarding cell broadcast geo-fencing logic is * laid out in 3GPP TS 23.041 and ATIS-0700041. */ 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 mVertices; private final List 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 degrees. */ public Polygon(@NonNull List 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()); } /** * Return the list of vertices which compose the polygon. */ public @NonNull List getVertices() { return mVertices; } /** * Check if the given LatLng is inside the polygon. * * If a LatLng is on the edge of the polygon, it is also considered to be inside the * polygon. */ @Override public boolean contains(@NonNull LatLng latLng) { // 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. 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; } /** @hide */ 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 (TelephonyUtils.IS_DEBUGGABLE) { str += mVertices; } return str; } /** * @hide */ @Override public boolean equals(Object o) { if (o == this) { return true; } if (!(o instanceof Polygon)) { return false; } Polygon p = (Polygon) o; if (mVertices.size() != p.mVertices.size()) { return false; } for (int i = 0; i < mVertices.size(); i++) { if (!mVertices.get(i).equals(p.mVertices.get(i))) { return false; } } return true; } } /** * A class represents a {@link Geometry} in the shape of a Circle. This is used for handling * geo-fenced cell broadcasts. More information regarding cell broadcast geo-fencing logic is * laid out in 3GPP TS 23.041 and ATIS-0700041. */ public static class Circle implements Geometry { private final LatLng mCenter; private final double mRadiusMeter; /** * Construct a Circle given a center point and a radius in meters. * * @param center the latitude and longitude of the center of the circle * @param radiusInMeters the radius of the circle in meters */ public Circle(@NonNull LatLng center, double radiusInMeters) { this.mCenter = center; this.mRadiusMeter = radiusInMeters; } /** * Return the latitude and longitude of the center of the circle; */ public @NonNull LatLng getCenter() { return mCenter; } /** * Return the radius of the circle in meters. */ public double getRadius() { return mRadiusMeter; } /** * Check if the given LatLng is inside the circle. * * If a LatLng is on the edge of the circle, it is also considered to be inside the circle. */ @Override public boolean contains(@NonNull LatLng latLng) { return mCenter.distance(latLng) <= mRadiusMeter; } @Override public String toString() { String str = "Circle: "; if (TelephonyUtils.IS_DEBUGGABLE) { str += mCenter + ", radius = " + mRadiusMeter; } return str; } /** * @hide */ @Override public boolean equals(Object o) { if (o == this) { return true; } if (!(o instanceof Circle)) { return false; } Circle c = (Circle) o; return mCenter.equals(c.mCenter) && Double.compare(mRadiusMeter, c.mRadiusMeter) == 0; } } /** * 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 parseGeometriesFromString(@NonNull String str) { List 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 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 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; } }