/* * Copyright (C) 2012 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 com.android.server.location; import java.io.FileDescriptor; import java.io.PrintWriter; import java.security.SecureRandom; import android.content.Context; import android.database.ContentObserver; import android.location.Location; import android.os.Handler; import android.os.SystemClock; import android.provider.Settings; import android.util.Log; /** * Contains the logic to obfuscate (fudge) locations for coarse applications. * *
The goal is just to prevent applications with only * the coarse location permission from receiving a fine location. */ public class LocationFudger { private static final boolean D = false; private static final String TAG = "LocationFudge"; /** * Default coarse accuracy in meters. */ private static final float DEFAULT_ACCURACY_IN_METERS = 2000.0f; /** * Minimum coarse accuracy in meters. */ private static final float MINIMUM_ACCURACY_IN_METERS = 200.0f; /** * Secure settings key for coarse accuracy. */ private static final String COARSE_ACCURACY_CONFIG_NAME = "locationCoarseAccuracy"; /** * This is the fastest interval that applications can receive coarse * locations. */ public static final long FASTEST_INTERVAL_MS = 10 * 60 * 1000; // 10 minutes /** * The duration until we change the random offset. */ private static final long CHANGE_INTERVAL_MS = 60 * 60 * 1000; // 1 hour /** * The percentage that we change the random offset at every interval. * *
0.0 indicates the random offset doesn't change. 1.0 * indicates the random offset is completely replaced every interval. */ private static final double CHANGE_PER_INTERVAL = 0.03; // 3% change // Pre-calculated weights used to move the random offset. // // The goal is to iterate on the previous offset, but keep // the resulting standard deviation the same. The variance of // two gaussian distributions summed together is equal to the // sum of the variance of each distribution. So some quick // algebra results in the following sqrt calculation to // weigh in a new offset while keeping the final standard // deviation unchanged. private static final double NEW_WEIGHT = CHANGE_PER_INTERVAL; private static final double PREVIOUS_WEIGHT = Math.sqrt(1 - NEW_WEIGHT * NEW_WEIGHT); /** * This number actually varies because the earth is not round, but * 111,000 meters is considered generally acceptable. */ private static final int APPROXIMATE_METERS_PER_DEGREE_AT_EQUATOR = 111000; /** * Maximum latitude. * *
We pick a value 1 meter away from 90.0 degrees in order * to keep cosine(MAX_LATITUDE) to a non-zero value, so that we avoid * divide by zero fails. */ private static final double MAX_LATITUDE = 90.0 - (1.0 / APPROXIMATE_METERS_PER_DEGREE_AT_EQUATOR); private final Object mLock = new Object(); private final SecureRandom mRandom = new SecureRandom(); /** * Used to monitor coarse accuracy secure setting for changes. */ private final ContentObserver mSettingsObserver; /** * Used to resolve coarse accuracy setting. */ private final Context mContext; // all fields below protected by mLock private double mOffsetLatitudeMeters; private double mOffsetLongitudeMeters; private long mNextInterval; /** * Best location accuracy allowed for coarse applications. * This value should only be set by {@link #setAccuracyInMetersLocked(float)}. */ private float mAccuracyInMeters; /** * The distance between grids for snap-to-grid. See {@link #createCoarse}. * This value should only be set by {@link #setAccuracyInMetersLocked(float)}. */ private double mGridSizeInMeters; /** * Standard deviation of the (normally distributed) random offset applied * to coarse locations. It does not need to be as large as * {@link #COARSE_ACCURACY_METERS} because snap-to-grid is the primary obfuscation * method. See further details in the implementation. * This value should only be set by {@link #setAccuracyInMetersLocked(float)}. */ private double mStandardDeviationInMeters; public LocationFudger(Context context, Handler handler) { mContext = context; mSettingsObserver = new ContentObserver(handler) { @Override public void onChange(boolean selfChange) { setAccuracyInMeters(loadCoarseAccuracy()); } }; mContext.getContentResolver().registerContentObserver(Settings.Secure.getUriFor( COARSE_ACCURACY_CONFIG_NAME), false, mSettingsObserver); float accuracy = loadCoarseAccuracy(); synchronized (mLock) { setAccuracyInMetersLocked(accuracy); mOffsetLatitudeMeters = nextOffsetLocked(); mOffsetLongitudeMeters = nextOffsetLocked(); mNextInterval = SystemClock.elapsedRealtime() + CHANGE_INTERVAL_MS; } } /** * Get the cached coarse location, or generate a new one and cache it. */ public Location getOrCreate(Location location) { synchronized (mLock) { Location coarse = location.getExtraLocation(Location.EXTRA_COARSE_LOCATION); if (coarse == null) { return addCoarseLocationExtraLocked(location); } if (coarse.getAccuracy() < mAccuracyInMeters) { return addCoarseLocationExtraLocked(location); } return coarse; } } private Location addCoarseLocationExtraLocked(Location location) { Location coarse = createCoarseLocked(location); location.setExtraLocation(Location.EXTRA_COARSE_LOCATION, coarse); return coarse; } /** * Create a coarse location. * *
Two techniques are used: random offsets and snap-to-grid. * *
First we add a random offset. This mitigates against detecting * grid transitions. Without a random offset it is possible to detect * a users position very accurately when they cross a grid boundary. * The random offset changes very slowly over time, to mitigate against * taking many location samples and averaging them out. * *
Second we snap-to-grid (quantize). This has the nice property of * producing stable results, and mitigating against taking many samples * to average out a random offset. */ private Location createCoarseLocked(Location fine) { Location coarse = new Location(fine); // clean all the optional information off the location, because // this can leak detailed location information coarse.removeBearing(); coarse.removeSpeed(); coarse.removeAltitude(); coarse.setExtras(null); double lat = coarse.getLatitude(); double lon = coarse.getLongitude(); // wrap lat = wrapLatitude(lat); lon = wrapLongitude(lon); // Step 1) apply a random offset // // The goal of the random offset is to prevent the application // from determining that the device is on a grid boundary // when it crosses from one grid to the next. // // We apply the offset even if the location already claims to be // inaccurate, because it may be more accurate than claimed. updateRandomOffsetLocked(); // perform lon first whilst lat is still within bounds lon += metersToDegreesLongitude(mOffsetLongitudeMeters, lat); lat += metersToDegreesLatitude(mOffsetLatitudeMeters); if (D) Log.d(TAG, String.format("applied offset of %.0f, %.0f (meters)", mOffsetLongitudeMeters, mOffsetLatitudeMeters)); // wrap lat = wrapLatitude(lat); lon = wrapLongitude(lon); // Step 2) Snap-to-grid (quantize) // // This is the primary means of obfuscation. It gives nice consistent // results and is very effective at hiding the true location // (as long as you are not sitting on a grid boundary, which // step 1 mitigates). // // Note we quantize the latitude first, since the longitude // quantization depends on the latitude value and so leaks information // about the latitude double latGranularity = metersToDegreesLatitude(mGridSizeInMeters); lat = Math.round(lat / latGranularity) * latGranularity; double lonGranularity = metersToDegreesLongitude(mGridSizeInMeters, lat); lon = Math.round(lon / lonGranularity) * lonGranularity; // wrap again lat = wrapLatitude(lat); lon = wrapLongitude(lon); // apply coarse.setLatitude(lat); coarse.setLongitude(lon); coarse.setAccuracy(Math.max(mAccuracyInMeters, coarse.getAccuracy())); if (D) Log.d(TAG, "fudged " + fine + " to " + coarse); return coarse; } /** * Update the random offset over time. * *
If the random offset was new for every location * fix then an application can more easily average location results * over time, * especially when the location is near a grid boundary. On the * other hand if the random offset is constant then if an application * found a way to reverse engineer the offset they would be able * to detect location at grid boundaries very accurately. So * we choose a random offset and then very slowly move it, to * make both approaches very hard. * *
The random offset does not need to be large, because snap-to-grid * is the primary obfuscation mechanism. It just needs to be large * enough to stop information leakage as we cross grid boundaries. */ private void updateRandomOffsetLocked() { long now = SystemClock.elapsedRealtime(); if (now < mNextInterval) { return; } if (D) Log.d(TAG, String.format("old offset: %.0f, %.0f (meters)", mOffsetLongitudeMeters, mOffsetLatitudeMeters)); // ok, need to update the random offset mNextInterval = now + CHANGE_INTERVAL_MS; mOffsetLatitudeMeters *= PREVIOUS_WEIGHT; mOffsetLatitudeMeters += NEW_WEIGHT * nextOffsetLocked(); mOffsetLongitudeMeters *= PREVIOUS_WEIGHT; mOffsetLongitudeMeters += NEW_WEIGHT * nextOffsetLocked(); if (D) Log.d(TAG, String.format("new offset: %.0f, %.0f (meters)", mOffsetLongitudeMeters, mOffsetLatitudeMeters)); } private double nextOffsetLocked() { return mRandom.nextGaussian() * mStandardDeviationInMeters; } private static double wrapLatitude(double lat) { if (lat > MAX_LATITUDE) { lat = MAX_LATITUDE; } if (lat < -MAX_LATITUDE) { lat = -MAX_LATITUDE; } return lat; } private static double wrapLongitude(double lon) { lon %= 360.0; // wraps into range (-360.0, +360.0) if (lon >= 180.0) { lon -= 360.0; } if (lon < -180.0) { lon += 360.0; } return lon; } private static double metersToDegreesLatitude(double distance) { return distance / APPROXIMATE_METERS_PER_DEGREE_AT_EQUATOR; } /** * Requires latitude since longitudinal distances change with distance from equator. */ private static double metersToDegreesLongitude(double distance, double lat) { return distance / APPROXIMATE_METERS_PER_DEGREE_AT_EQUATOR / Math.cos(Math.toRadians(lat)); } public void dump(FileDescriptor fd, PrintWriter pw, String[] args) { pw.println(String.format("offset: %.0f, %.0f (meters)", mOffsetLongitudeMeters, mOffsetLatitudeMeters)); } /** * This is the main control: call this to set the best location accuracy * allowed for coarse applications and all derived values. */ private void setAccuracyInMetersLocked(float accuracyInMeters) { mAccuracyInMeters = Math.max(accuracyInMeters, MINIMUM_ACCURACY_IN_METERS); if (D) { Log.d(TAG, "setAccuracyInMetersLocked: new accuracy = " + mAccuracyInMeters); } mGridSizeInMeters = mAccuracyInMeters; mStandardDeviationInMeters = mGridSizeInMeters / 4.0; } /** * Same as setAccuracyInMetersLocked without the pre-lock requirement. */ private void setAccuracyInMeters(float accuracyInMeters) { synchronized (mLock) { setAccuracyInMetersLocked(accuracyInMeters); } } /** * Loads the coarse accuracy value from secure settings. */ private float loadCoarseAccuracy() { String newSetting = Settings.Secure.getString(mContext.getContentResolver(), COARSE_ACCURACY_CONFIG_NAME); if (D) { Log.d(TAG, "loadCoarseAccuracy: newSetting = \"" + newSetting + "\""); } if (newSetting == null) { return DEFAULT_ACCURACY_IN_METERS; } try { return Float.parseFloat(newSetting); } catch (NumberFormatException e) { return DEFAULT_ACCURACY_IN_METERS; } } }