xref: /frameworks/base/core/java/android/hardware/SensorManager.java

/*
 * Copyright (C) 2008 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.hardware;

import android.os.Handler;
import android.util.Log;
import android.util.SparseArray;

import java.util.ArrayList;
import java.util.Collections;
import java.util.List;

/**
 * <p>
 * SensorManager lets you access the device's {@link android.hardware.Sensor
 * sensors}. Get an instance of this class by calling
 * {@link android.content.Context#getSystemService(java.lang.String)
 * Context.getSystemService()} with the argument
 * {@link android.content.Context#SENSOR_SERVICE}.
 * </p>
 * <p>
 * Always make sure to disable sensors you don't need, especially when your
 * activity is paused. Failing to do so can drain the battery in just a few
 * hours. Note that the system will <i>not</i> disable sensors automatically when
 * the screen turns off.
 * </p>
 * <p class="note">
 * Note: Don't use this mechanism with a Trigger Sensor, have a look
 * at {@link TriggerEventListener}. {@link Sensor#TYPE_SIGNIFICANT_MOTION}
 * is an example of a trigger sensor.
 * </p>
 * <pre class="prettyprint">
 * public class SensorActivity extends Activity, implements SensorEventListener {
 *     private final SensorManager mSensorManager;
 *     private final Sensor mAccelerometer;
 *
 *     public SensorActivity() {
 *         mSensorManager = (SensorManager)getSystemService(SENSOR_SERVICE);
 *         mAccelerometer = mSensorManager.getDefaultSensor(Sensor.TYPE_ACCELEROMETER);
 *     }
 *
 *     protected void onResume() {
 *         super.onResume();
 *         mSensorManager.registerListener(this, mAccelerometer, SensorManager.SENSOR_DELAY_NORMAL);
 *     }
 *
 *     protected void onPause() {
 *         super.onPause();
 *         mSensorManager.unregisterListener(this);
 *     }
 *
 *     public void onAccuracyChanged(Sensor sensor, int accuracy) {
 *     }
 *
 *     public void onSensorChanged(SensorEvent event) {
 *     }
 * }
 * </pre>
 *
 * @see SensorEventListener
 * @see SensorEvent
 * @see Sensor
 *
 */
public abstract class SensorManager {
    /** @hide */
    protected static final String TAG = "SensorManager";

    private static final float[] mTempMatrix = new float[16];

    // Cached lists of sensors by type.  Guarded by mSensorListByType.
    private final SparseArray<List<Sensor>> mSensorListByType =
            new SparseArray<List<Sensor>>();

    // Legacy sensor manager implementation.  Guarded by mSensorListByType during initialization.
    private LegacySensorManager mLegacySensorManager;

    /* NOTE: sensor IDs must be a power of 2 */

    /**
     * A constant describing an orientation sensor. See
     * {@link android.hardware.SensorListener SensorListener} for more details.
     *
     * @deprecated use {@link android.hardware.Sensor Sensor} instead.
     */
    @Deprecated
    public static final int SENSOR_ORIENTATION = 1 << 0;

    /**
     * A constant describing an accelerometer. See
     * {@link android.hardware.SensorListener SensorListener} for more details.
     *
     * @deprecated use {@link android.hardware.Sensor Sensor} instead.
     */
    @Deprecated
    public static final int SENSOR_ACCELEROMETER = 1 << 1;

    /**
     * A constant describing a temperature sensor See
     * {@link android.hardware.SensorListener SensorListener} for more details.
     *
     * @deprecated use {@link android.hardware.Sensor Sensor} instead.
     */
    @Deprecated
    public static final int SENSOR_TEMPERATURE = 1 << 2;

    /**
     * A constant describing a magnetic sensor See
     * {@link android.hardware.SensorListener SensorListener} for more details.
     *
     * @deprecated use {@link android.hardware.Sensor Sensor} instead.
     */
    @Deprecated
    public static final int SENSOR_MAGNETIC_FIELD = 1 << 3;

    /**
     * A constant describing an ambient light sensor See
     * {@link android.hardware.SensorListener SensorListener} for more details.
     *
     * @deprecated use {@link android.hardware.Sensor Sensor} instead.
     */
    @Deprecated
    public static final int SENSOR_LIGHT = 1 << 4;

    /**
     * A constant describing a proximity sensor See
     * {@link android.hardware.SensorListener SensorListener} for more details.
     *
     * @deprecated use {@link android.hardware.Sensor Sensor} instead.
     */
    @Deprecated
    public static final int SENSOR_PROXIMITY = 1 << 5;

    /**
     * A constant describing a Tricorder See
     * {@link android.hardware.SensorListener SensorListener} for more details.
     *
     * @deprecated use {@link android.hardware.Sensor Sensor} instead.
     */
    @Deprecated
    public static final int SENSOR_TRICORDER = 1 << 6;

    /**
     * A constant describing an orientation sensor. See
     * {@link android.hardware.SensorListener SensorListener} for more details.
     *
     * @deprecated use {@link android.hardware.Sensor Sensor} instead.
     */
    @Deprecated
    public static final int SENSOR_ORIENTATION_RAW = 1 << 7;

    /**
     * A constant that includes all sensors
     *
     * @deprecated use {@link android.hardware.Sensor Sensor} instead.
     */
    @Deprecated
    public static final int SENSOR_ALL = 0x7F;

    /**
     * Smallest sensor ID
     *
     * @deprecated use {@link android.hardware.Sensor Sensor} instead.
     */
    @Deprecated
    public static final int SENSOR_MIN = SENSOR_ORIENTATION;

    /**
     * Largest sensor ID
     *
     * @deprecated use {@link android.hardware.Sensor Sensor} instead.
     */
    @Deprecated
    public static final int SENSOR_MAX = ((SENSOR_ALL + 1)>>1);


    /**
     * Index of the X value in the array returned by
     * {@link android.hardware.SensorListener#onSensorChanged}
     *
     * @deprecated use {@link android.hardware.Sensor Sensor} instead.
     */
    @Deprecated
    public static final int DATA_X = 0;

    /**
     * Index of the Y value in the array returned by
     * {@link android.hardware.SensorListener#onSensorChanged}
     *
     * @deprecated use {@link android.hardware.Sensor Sensor} instead.
     */
    @Deprecated
    public static final int DATA_Y = 1;

    /**
     * Index of the Z value in the array returned by
     * {@link android.hardware.SensorListener#onSensorChanged}
     *
     * @deprecated use {@link android.hardware.Sensor Sensor} instead.
     */
    @Deprecated
    public static final int DATA_Z = 2;

    /**
     * Offset to the untransformed values in the array returned by
     * {@link android.hardware.SensorListener#onSensorChanged}
     *
     * @deprecated use {@link android.hardware.Sensor Sensor} instead.
     */
    @Deprecated
    public static final int RAW_DATA_INDEX = 3;

    /**
     * Index of the untransformed X value in the array returned by
     * {@link android.hardware.SensorListener#onSensorChanged}
     *
     * @deprecated use {@link android.hardware.Sensor Sensor} instead.
     */
    @Deprecated
    public static final int RAW_DATA_X = 3;

    /**
     * Index of the untransformed Y value in the array returned by
     * {@link android.hardware.SensorListener#onSensorChanged}
     *
     * @deprecated use {@link android.hardware.Sensor Sensor} instead.
     */
    @Deprecated
    public static final int RAW_DATA_Y = 4;

    /**
     * Index of the untransformed Z value in the array returned by
     * {@link android.hardware.SensorListener#onSensorChanged}
     *
     * @deprecated use {@link android.hardware.Sensor Sensor} instead.
     */
    @Deprecated
    public static final int RAW_DATA_Z = 5;

    /** Standard gravity (g) on Earth. This value is equivalent to 1G */
    public static final float STANDARD_GRAVITY = 9.80665f;

    /** Sun's gravity in SI units (m/s^2) */
    public static final float GRAVITY_SUN             = 275.0f;
    /** Mercury's gravity in SI units (m/s^2) */
    public static final float GRAVITY_MERCURY         = 3.70f;
    /** Venus' gravity in SI units (m/s^2) */
    public static final float GRAVITY_VENUS           = 8.87f;
    /** Earth's gravity in SI units (m/s^2) */
    public static final float GRAVITY_EARTH           = 9.80665f;
    /** The Moon's gravity in SI units (m/s^2) */
    public static final float GRAVITY_MOON            = 1.6f;
    /** Mars' gravity in SI units (m/s^2) */
    public static final float GRAVITY_MARS            = 3.71f;
    /** Jupiter's gravity in SI units (m/s^2) */
    public static final float GRAVITY_JUPITER         = 23.12f;
    /** Saturn's gravity in SI units (m/s^2) */
    public static final float GRAVITY_SATURN          = 8.96f;
    /** Uranus' gravity in SI units (m/s^2) */
    public static final float GRAVITY_URANUS          = 8.69f;
    /** Neptune's gravity in SI units (m/s^2) */
    public static final float GRAVITY_NEPTUNE         = 11.0f;
    /** Pluto's gravity in SI units (m/s^2) */
    public static final float GRAVITY_PLUTO           = 0.6f;
    /** Gravity (estimate) on the first Death Star in Empire units (m/s^2) */
    public static final float GRAVITY_DEATH_STAR_I    = 0.000000353036145f;
    /** Gravity on the island */
    public static final float GRAVITY_THE_ISLAND      = 4.815162342f;


    /** Maximum magnetic field on Earth's surface */
    public static final float MAGNETIC_FIELD_EARTH_MAX = 60.0f;
    /** Minimum magnetic field on Earth's surface */
    public static final float MAGNETIC_FIELD_EARTH_MIN = 30.0f;


    /** Standard atmosphere, or average sea-level pressure in hPa (millibar) */
    public static final float PRESSURE_STANDARD_ATMOSPHERE = 1013.25f;


    /** Maximum luminance of sunlight in lux */
    public static final float LIGHT_SUNLIGHT_MAX = 120000.0f;
    /** luminance of sunlight in lux */
    public static final float LIGHT_SUNLIGHT     = 110000.0f;
    /** luminance in shade in lux */
    public static final float LIGHT_SHADE        = 20000.0f;
    /** luminance under an overcast sky in lux */
    public static final float LIGHT_OVERCAST     = 10000.0f;
    /** luminance at sunrise in lux */
    public static final float LIGHT_SUNRISE      = 400.0f;
    /** luminance under a cloudy sky in lux */
    public static final float LIGHT_CLOUDY       = 100.0f;
    /** luminance at night with full moon in lux */
    public static final float LIGHT_FULLMOON     = 0.25f;
    /** luminance at night with no moon in lux*/
    public static final float LIGHT_NO_MOON      = 0.001f;


    /** get sensor data as fast as possible */
    public static final int SENSOR_DELAY_FASTEST = 0;
    /** rate suitable for games */
    public static final int SENSOR_DELAY_GAME = 1;
    /** rate suitable for the user interface  */
    public static final int SENSOR_DELAY_UI = 2;
    /** rate (default) suitable for screen orientation changes */
    public static final int SENSOR_DELAY_NORMAL = 3;


    /**
     * The values returned by this sensor cannot be trusted, calibration is
     * needed or the environment doesn't allow readings
     */
    public static final int SENSOR_STATUS_UNRELIABLE = 0;

    /**
     * This sensor is reporting data with low accuracy, calibration with the
     * environment is needed
     */
    public static final int SENSOR_STATUS_ACCURACY_LOW = 1;

    /**
     * This sensor is reporting data with an average level of accuracy,
     * calibration with the environment may improve the readings
     */
    public static final int SENSOR_STATUS_ACCURACY_MEDIUM = 2;

    /** This sensor is reporting data with maximum accuracy */
    public static final int SENSOR_STATUS_ACCURACY_HIGH = 3;

    /** see {@link #remapCoordinateSystem} */
    public static final int AXIS_X = 1;
    /** see {@link #remapCoordinateSystem} */
    public static final int AXIS_Y = 2;
    /** see {@link #remapCoordinateSystem} */
    public static final int AXIS_Z = 3;
    /** see {@link #remapCoordinateSystem} */
    public static final int AXIS_MINUS_X = AXIS_X | 0x80;
    /** see {@link #remapCoordinateSystem} */
    public static final int AXIS_MINUS_Y = AXIS_Y | 0x80;
    /** see {@link #remapCoordinateSystem} */
    public static final int AXIS_MINUS_Z = AXIS_Z | 0x80;


    /**
     * {@hide}
     */
    public SensorManager() {
    }

    /**
     * Gets the full list of sensors that are available.
     * @hide
     */
    protected abstract List<Sensor> getFullSensorList();

    /**
     * @return available sensors.
     * @deprecated This method is deprecated, use
     *             {@link SensorManager#getSensorList(int)} instead
     */
    @Deprecated
    public int getSensors() {
        return getLegacySensorManager().getSensors();
    }

    /**
     * Use this method to get the list of available sensors of a certain type.
     * Make multiple calls to get sensors of different types or use
     * {@link android.hardware.Sensor#TYPE_ALL Sensor.TYPE_ALL} to get all the
     * sensors.
     *
     * @param type
     *        of sensors requested
     *
     * @return a list of sensors matching the asked type.
     *
     * @see #getDefaultSensor(int)
     * @see Sensor
     */
    public List<Sensor> getSensorList(int type) {
        // cache the returned lists the first time
        List<Sensor> list;
        final List<Sensor> fullList = getFullSensorList();
        synchronized (mSensorListByType) {
            list = mSensorListByType.get(type);
            if (list == null) {
                if (type == Sensor.TYPE_ALL) {
                    list = fullList;
                } else {
                    list = new ArrayList<Sensor>();
                    for (Sensor i : fullList) {
                        if (i.getType() == type)
                            list.add(i);
                    }
                }
                list = Collections.unmodifiableList(list);
                mSensorListByType.append(type, list);
            }
        }
        return list;
    }

    /**
     * Use this method to get the default sensor for a given type. Note that the
     * returned sensor could be a composite sensor, and its data could be
     * averaged or filtered. If you need to access the raw sensors use
     * {@link SensorManager#getSensorList(int) getSensorList}.
     *
     * @param type
     *        of sensors requested
     *
     * @return the default sensors matching the asked type.
     *
     * @see #getSensorList(int)
     * @see Sensor
     */
    public Sensor getDefaultSensor(int type) {
        // TODO: need to be smarter, for now, just return the 1st sensor
        List<Sensor> l = getSensorList(type);
        return l.isEmpty() ? null : l.get(0);
    }

    /**
     * Registers a listener for given sensors.
     *
     * @deprecated This method is deprecated, use
     *             {@link SensorManager#registerListener(SensorEventListener, Sensor, int)}
     *             instead.
     *
     * @param listener
     *        sensor listener object
     *
     * @param sensors
     *        a bit masks of the sensors to register to
     *
     * @return <code>true</code> if the sensor is supported and successfully
     *         enabled
     */
    @Deprecated
    public boolean registerListener(SensorListener listener, int sensors) {
        return registerListener(listener, sensors, SENSOR_DELAY_NORMAL);
    }

    /**
     * Registers a SensorListener for given sensors.
     *
     * @deprecated This method is deprecated, use
     *             {@link SensorManager#registerListener(SensorEventListener, Sensor, int)}
     *             instead.
     *
     * @param listener
     *        sensor listener object
     *
     * @param sensors
     *        a bit masks of the sensors to register to
     *
     * @param rate
     *        rate of events. This is only a hint to the system. events may be
     *        received faster or slower than the specified rate. Usually events
     *        are received faster. The value must be one of
     *        {@link #SENSOR_DELAY_NORMAL}, {@link #SENSOR_DELAY_UI},
     *        {@link #SENSOR_DELAY_GAME}, or {@link #SENSOR_DELAY_FASTEST}.
     *
     * @return <code>true</code> if the sensor is supported and successfully
     *         enabled
     */
    @Deprecated
    public boolean registerListener(SensorListener listener, int sensors, int rate) {
        return getLegacySensorManager().registerListener(listener, sensors, rate);
    }

    /**
     * Unregisters a listener for all sensors.
     *
     * @deprecated This method is deprecated, use
     *             {@link SensorManager#unregisterListener(SensorEventListener)}
     *             instead.
     *
     * @param listener
     *        a SensorListener object
     */
    @Deprecated
    public void unregisterListener(SensorListener listener) {
        unregisterListener(listener, SENSOR_ALL | SENSOR_ORIENTATION_RAW);
    }

    /**
     * Unregisters a listener for the sensors with which it is registered.
     *
     * @deprecated This method is deprecated, use
     *             {@link SensorManager#unregisterListener(SensorEventListener, Sensor)}
     *             instead.
     *
     * @param listener
     *        a SensorListener object
     *
     * @param sensors
     *        a bit masks of the sensors to unregister from
     */
    @Deprecated
    public void unregisterListener(SensorListener listener, int sensors) {
        getLegacySensorManager().unregisterListener(listener, sensors);
    }

    /**
     * Unregisters a listener for the sensors with which it is registered.
     *
     * <p class="note"></p>
     * Note: Don't use this method with a one shot trigger sensor such as
     * {@link Sensor#TYPE_SIGNIFICANT_MOTION}.
     * Use {@link #cancelTriggerSensor(TriggerEventListener, Sensor)} instead.
     * </p>
     *
     * @param listener
     *        a SensorEventListener object
     *
     * @param sensor
     *        the sensor to unregister from
     *
     * @see #unregisterListener(SensorEventListener)
     * @see #registerListener(SensorEventListener, Sensor, int)
     */
    public void unregisterListener(SensorEventListener listener, Sensor sensor) {
        if (listener == null || sensor == null) {
            return;
        }

        unregisterListenerImpl(listener, sensor);
    }

    /**
     * Unregisters a listener for all sensors.
     *
     * @param listener
     *        a SensorListener object
     *
     * @see #unregisterListener(SensorEventListener, Sensor)
     * @see #registerListener(SensorEventListener, Sensor, int)
     *
     */
    public void unregisterListener(SensorEventListener listener) {
        if (listener == null) {
            return;
        }

        unregisterListenerImpl(listener, null);
    }

    /** @hide */
    protected abstract void unregisterListenerImpl(SensorEventListener listener, Sensor sensor);

    /**
     * Registers a {@link android.hardware.SensorEventListener
     * SensorEventListener} for the given sensor.
     *
     * <p class="note"></p>
     * Note: Don't use this method with a one shot trigger sensor such as
     * {@link Sensor#TYPE_SIGNIFICANT_MOTION}.
     * Use {@link #requestTriggerSensor(TriggerEventListener, Sensor)} instead.
     * </p>
     *
     * @param listener
     *        A {@link android.hardware.SensorEventListener SensorEventListener}
     *        object.
     *
     * @param sensor
     *        The {@link android.hardware.Sensor Sensor} to register to.
     *
     * @param rateUs
     *        The rate {@link android.hardware.SensorEvent sensor events} are
     *        delivered at. This is only a hint to the system. Events may be
     *        received faster or slower than the specified rate. Usually events
     *        are received faster. The value must be one of
     *        {@link #SENSOR_DELAY_NORMAL}, {@link #SENSOR_DELAY_UI},
     *        {@link #SENSOR_DELAY_GAME}, or {@link #SENSOR_DELAY_FASTEST}
     *        or, the desired delay between events in microseconds.
     *        Specifying the delay in microseconds only works from Android
     *        2.3 (API level 9) onwards. For earlier releases, you must use
     *        one of the {@code SENSOR_DELAY_*} constants.
     *
     * @return <code>true</code> if the sensor is supported and successfully
     *         enabled.
     *
     * @see #registerListener(SensorEventListener, Sensor, int, Handler)
     * @see #unregisterListener(SensorEventListener)
     * @see #unregisterListener(SensorEventListener, Sensor)
     *
     */
    public boolean registerListener(SensorEventListener listener, Sensor sensor, int rateUs) {
        return registerListener(listener, sensor, rateUs, null);
    }

    /**
     * Enables batch mode for a sensor with the given rate and maxBatchReportLatency. If the
     * underlying hardware does not support batch mode, this defaults to
     * {@link #registerListener(SensorEventListener, Sensor, int)} and other parameters are
     * ignored. In non-batch mode, all sensor events must be reported as soon as they are detected.
     * While in batch mode, sensor events do not need to be reported as soon as they are detected.
     * They can be temporarily stored in batches and reported in batches, as long as no event is
     * delayed by more than "maxBatchReportLatency" microseconds. That is, all events since the
     * previous batch are recorded and returned all at once. This allows to reduce the amount of
     * interrupts sent to the SoC, and allows the SoC to switch to a lower power state (Idle) while
     * the sensor is capturing and batching data.
     * <p>
     * Registering to a sensor in batch mode will not prevent the SoC from going to suspend mode. In
     * this case, the sensor will continue to gather events and store it in a hardware FIFO. If the
     * FIFO gets full before the AP wakes up again, some events will be lost, as the older events
     * get overwritten by new events in the hardware FIFO. This can be avoided by holding a wake
     * lock. If the application holds a wake lock, the SoC will not go to suspend mode, so no events
     * will be lost, as the events will be reported before the FIFO gets full.
     * </p>
     * <p>
     * Batching is always best effort. If a different application requests updates in continuous
     * mode, this application will also get events in continuous mode. Batch mode updates can be
     * unregistered by calling {@link #unregisterListener(SensorEventListener)}.
     * </p>
     * <p class="note">
     * </p>
     * Note: Don't use this method with a one shot trigger sensor such as
     * {@link Sensor#TYPE_SIGNIFICANT_MOTION}. Use
     * {@link #requestTriggerSensor(TriggerEventListener, Sensor)} instead. </p>
     *
     * @param listener A {@link android.hardware.SensorEventListener SensorEventListener} object
     *            that will receive the sensor events. If the application is interested in receiving
     *            flush complete notifications, it should register with
     *            {@link android.hardware.SensorEventListener SensorEventListener2} instead.
     * @param sensor The {@link android.hardware.Sensor Sensor} to register to.
     * @param rateUs The desired delay between two consecutive events in microseconds. This is only
     *            a hint to the system. Events may be received faster or slower than the specified
     *            rate. Usually events are received faster. Can be one of
     *            {@link #SENSOR_DELAY_NORMAL}, {@link #SENSOR_DELAY_UI},
     *            {@link #SENSOR_DELAY_GAME}, {@link #SENSOR_DELAY_FASTEST} or the delay in
     *            microseconds.
     * @param maxBatchReportLatencyUs An event in the batch can be delayed by at most
     *            maxBatchReportLatency microseconds. More events can be batched if this value is
     *            large. If this is set to zero, batch mode is disabled and events are delivered in
     *            continuous mode as soon as they are available which is equivalent to calling
     *            {@link #registerListener(SensorEventListener, Sensor, int)}.
     * @return <code>true</code> if batch mode is successfully enabled for this sensor,
     *         <code>false</code> otherwise.
     * @see #registerListener(SensorEventListener, Sensor, int)
     * @see #unregisterListener(SensorEventListener)
     * @see #flush(SensorEventListener)
     */
    public boolean registerListener(SensorEventListener listener, Sensor sensor, int rateUs,
            int maxBatchReportLatencyUs) {
        int delay = getDelay(rateUs);
        return registerListenerImpl(listener, sensor, delay, null, maxBatchReportLatencyUs, 0);
    }

    /**
     * Registers a {@link android.hardware.SensorEventListener SensorEventListener} for the given
     * sensor. Events are delivered in continuous mode as soon as they are available. To reduce the
     * battery usage, use {@link #registerListener(SensorEventListener, Sensor, int, int)} which
     * enables batch mode for the sensor.
     *
     * <p class="note"></p>
     * Note: Don't use this method with a one shot trigger sensor such as
     * {@link Sensor#TYPE_SIGNIFICANT_MOTION}.
     * Use {@link #requestTriggerSensor(TriggerEventListener, Sensor)} instead.
     * </p>
     *
     * @param listener
     *        A {@link android.hardware.SensorEventListener SensorEventListener}
     *        object.
     *
     * @param sensor
     *        The {@link android.hardware.Sensor Sensor} to register to.
     *
     * @param rateUs
     *        The rate {@link android.hardware.SensorEvent sensor events} are
     *        delivered at. This is only a hint to the system. Events may be
     *        received faster or slower than the specified rate. Usually events
     *        are received faster. The value must be one of
     *        {@link #SENSOR_DELAY_NORMAL}, {@link #SENSOR_DELAY_UI},
     *        {@link #SENSOR_DELAY_GAME}, or {@link #SENSOR_DELAY_FASTEST}.
     *        or, the desired delay between events in microseconds.
     *        Specifying the delay in microseconds only works from Android
     *        2.3 (API level 9) onwards. For earlier releases, you must use
     *        one of the {@code SENSOR_DELAY_*} constants.
     *
     * @param handler
     *        The {@link android.os.Handler Handler} the
     *        {@link android.hardware.SensorEvent sensor events} will be
     *        delivered to.
     *
     * @return <code>true</code> if the sensor is supported and successfully enabled.
     *
     * @see #registerListener(SensorEventListener, Sensor, int)
     * @see #unregisterListener(SensorEventListener)
     * @see #unregisterListener(SensorEventListener, Sensor)
     */
    public boolean registerListener(SensorEventListener listener, Sensor sensor, int rateUs,
            Handler handler) {
        int delay = getDelay(rateUs);
        return registerListenerImpl(listener, sensor, delay, handler, 0, 0);
    }

    /**
     * Enables batch mode for a sensor with the given rate and maxBatchReportLatency.
     * @param listener A {@link android.hardware.SensorEventListener SensorEventListener} object
     *            that will receive the sensor events. If the application is interested in receiving
     *            flush complete notifications, it should register with
     *            {@link android.hardware.SensorEventListener SensorEventListener2} instead.
     * @param sensor The {@link android.hardware.Sensor Sensor} to register to.
     * @param rateUs The desired delay between two consecutive events in microseconds. This is only
     *            a hint to the system. Events may be received faster or slower than the specified
     *            rate. Usually events are received faster. Can be one of
     *            {@link #SENSOR_DELAY_NORMAL}, {@link #SENSOR_DELAY_UI},
     *            {@link #SENSOR_DELAY_GAME}, {@link #SENSOR_DELAY_FASTEST} or the delay in
     *            microseconds.
     * @param maxBatchReportLatencyUs An event in the batch can be delayed by at most
     *            maxBatchReportLatency microseconds. More events can be batched if this value is
     *            large. If this is set to zero, batch mode is disabled and events are delivered in
     *            continuous mode as soon as they are available which is equivalent to calling
     *            {@link #registerListener(SensorEventListener, Sensor, int)}.
     * @param handler The {@link android.os.Handler Handler} the
     *        {@link android.hardware.SensorEvent sensor events} will be delivered to.
     *
     * @return <code>true</code> if batch mode is successfully enabled for this sensor,
     *         <code>false</code> otherwise.
     * @see #registerListener(SensorEventListener, Sensor, int, int)
     */
    public boolean registerListener(SensorEventListener listener, Sensor sensor, int rateUs,
            int maxBatchReportLatencyUs, Handler handler) {
        int delayUs = getDelay(rateUs);
        return registerListenerImpl(listener, sensor, delayUs, handler, maxBatchReportLatencyUs, 0);
    }

    /** @hide */
    protected abstract boolean registerListenerImpl(SensorEventListener listener, Sensor sensor,
            int delayUs, Handler handler, int maxBatchReportLatencyUs, int reservedFlags);


    /**
     * Flushes the batch FIFO of all the sensors registered for this listener. If there are events
     * in the FIFO of the sensor, they are returned as if the batch timeout in the FIFO of the
     * sensors had expired. Events are returned in the usual way through the SensorEventListener.
     * This call doesn't affect the batch timeout for this sensor. This call is asynchronous and
     * returns immediately.
     * {@link android.hardware.SensorEventListener2#onFlushCompleted onFlushCompleted} is called
     * after all the events in the batch at the time of calling this method have been delivered
     * successfully. If the hardware doesn't support flush, it still returns true and a trivial
     * flush complete event is sent after the current event for all the clients registered for this
     * sensor.
     *
     * @param listener A {@link android.hardware.SensorEventListener SensorEventListener} object
     *        which was previously used in a registerListener call.
     * @return <code>true</code> if the flush is initiated successfully on all the sensors
     *         registered for this listener, false if no sensor is previously registered for this
     *         listener or flush on one of the sensors fails.
     * @see #registerListener(SensorEventListener, Sensor, int, int)
     * @throws IllegalArgumentException when listener is null.
     */
    public boolean flush(SensorEventListener listener) {
        return flushImpl(listener);
    }

    /** @hide */
    protected abstract boolean flushImpl(SensorEventListener listener);

    /**
     * <p>
     * Computes the inclination matrix <b>I</b> as well as the rotation matrix
     * <b>R</b> transforming a vector from the device coordinate system to the
     * world's coordinate system which is defined as a direct orthonormal basis,
     * where:
     * </p>
     *
     * <ul>
     * <li>X is defined as the vector product <b>Y.Z</b> (It is tangential to
     * the ground at the device's current location and roughly points East).</li>
     * <li>Y is tangential to the ground at the device's current location and
     * points towards the magnetic North Pole.</li>
     * <li>Z points towards the sky and is perpendicular to the ground.</li>
     * </ul>
     *
     * <p>
     * <center><img src="../../../images/axis_globe.png"
     * alt="World coordinate-system diagram." border="0" /></center>
     * </p>
     *
     * <p>
     * <hr>
     * <p>
     * By definition:
     * <p>
     * [0 0 g] = <b>R</b> * <b>gravity</b> (g = magnitude of gravity)
     * <p>
     * [0 m 0] = <b>I</b> * <b>R</b> * <b>geomagnetic</b> (m = magnitude of
     * geomagnetic field)
     * <p>
     * <b>R</b> is the identity matrix when the device is aligned with the
     * world's coordinate system, that is, when the device's X axis points
     * toward East, the Y axis points to the North Pole and the device is facing
     * the sky.
     *
     * <p>
     * <b>I</b> is a rotation matrix transforming the geomagnetic vector into
     * the same coordinate space as gravity (the world's coordinate space).
     * <b>I</b> is a simple rotation around the X axis. The inclination angle in
     * radians can be computed with {@link #getInclination}.
     * <hr>
     *
     * <p>
     * Each matrix is returned either as a 3x3 or 4x4 row-major matrix depending
     * on the length of the passed array:
     * <p>
     * <u>If the array length is 16:</u>
     *
     * <pre>
     *   /  M[ 0]   M[ 1]   M[ 2]   M[ 3]  \
     *   |  M[ 4]   M[ 5]   M[ 6]   M[ 7]  |
     *   |  M[ 8]   M[ 9]   M[10]   M[11]  |
     *   \  M[12]   M[13]   M[14]   M[15]  /
     *</pre>
     *
     * This matrix is ready to be used by OpenGL ES's
     * {@link javax.microedition.khronos.opengles.GL10#glLoadMatrixf(float[], int)
     * glLoadMatrixf(float[], int)}.
     * <p>
     * Note that because OpenGL matrices are column-major matrices you must
     * transpose the matrix before using it. However, since the matrix is a
     * rotation matrix, its transpose is also its inverse, conveniently, it is
     * often the inverse of the rotation that is needed for rendering; it can
     * therefore be used with OpenGL ES directly.
     * <p>
     * Also note that the returned matrices always have this form:
     *
     * <pre>
     *   /  M[ 0]   M[ 1]   M[ 2]   0  \
     *   |  M[ 4]   M[ 5]   M[ 6]   0  |
     *   |  M[ 8]   M[ 9]   M[10]   0  |
     *   \      0       0       0   1  /
     *</pre>
     *
     * <p>
     * <u>If the array length is 9:</u>
     *
     * <pre>
     *   /  M[ 0]   M[ 1]   M[ 2]  \
     *   |  M[ 3]   M[ 4]   M[ 5]  |
     *   \  M[ 6]   M[ 7]   M[ 8]  /
     *</pre>
     *
     * <hr>
     * <p>
     * The inverse of each matrix can be computed easily by taking its
     * transpose.
     *
     * <p>
     * The matrices returned by this function are meaningful only when the
     * device is not free-falling and it is not close to the magnetic north. If
     * the device is accelerating, or placed into a strong magnetic field, the
     * returned matrices may be inaccurate.
     *
     * @param R
     *        is an array of 9 floats holding the rotation matrix <b>R</b> when
     *        this function returns. R can be null.
     *        <p>
     *
     * @param I
     *        is an array of 9 floats holding the rotation matrix <b>I</b> when
     *        this function returns. I can be null.
     *        <p>
     *
     * @param gravity
     *        is an array of 3 floats containing the gravity vector expressed in
     *        the device's coordinate. You can simply use the
     *        {@link android.hardware.SensorEvent#values values} returned by a
     *        {@link android.hardware.SensorEvent SensorEvent} of a
     *        {@link android.hardware.Sensor Sensor} of type
     *        {@link android.hardware.Sensor#TYPE_ACCELEROMETER
     *        TYPE_ACCELEROMETER}.
     *        <p>
     *
     * @param geomagnetic
     *        is an array of 3 floats containing the geomagnetic vector
     *        expressed in the device's coordinate. You can simply use the
     *        {@link android.hardware.SensorEvent#values values} returned by a
     *        {@link android.hardware.SensorEvent SensorEvent} of a
     *        {@link android.hardware.Sensor Sensor} of type
     *        {@link android.hardware.Sensor#TYPE_MAGNETIC_FIELD
     *        TYPE_MAGNETIC_FIELD}.
     *
     * @return <code>true</code> on success, <code>false</code> on failure (for
     *         instance, if the device is in free fall). On failure the output
     *         matrices are not modified.
     *
     * @see #getInclination(float[])
     * @see #getOrientation(float[], float[])
     * @see #remapCoordinateSystem(float[], int, int, float[])
     */

    public static boolean getRotationMatrix(float[] R, float[] I,
            float[] gravity, float[] geomagnetic) {
        // TODO: move this to native code for efficiency
        float Ax = gravity[0];
        float Ay = gravity[1];
        float Az = gravity[2];
        final float Ex = geomagnetic[0];
        final float Ey = geomagnetic[1];
        final float Ez = geomagnetic[2];
        float Hx = Ey*Az - Ez*Ay;
        float Hy = Ez*Ax - Ex*Az;
        float Hz = Ex*Ay - Ey*Ax;
        final float normH = (float)Math.sqrt(Hx*Hx + Hy*Hy + Hz*Hz);
        if (normH < 0.1f) {
            // device is close to free fall (or in space?), or close to
            // magnetic north pole. Typical values are  > 100.
            return false;
        }
        final float invH = 1.0f / normH;
        Hx *= invH;
        Hy *= invH;
        Hz *= invH;
        final float invA = 1.0f / (float)Math.sqrt(Ax*Ax + Ay*Ay + Az*Az);
        Ax *= invA;
        Ay *= invA;
        Az *= invA;
        final float Mx = Ay*Hz - Az*Hy;
        final float My = Az*Hx - Ax*Hz;
        final float Mz = Ax*Hy - Ay*Hx;
        if (R != null) {
            if (R.length == 9) {
                R[0] = Hx;     R[1] = Hy;     R[2] = Hz;
                R[3] = Mx;     R[4] = My;     R[5] = Mz;
                R[6] = Ax;     R[7] = Ay;     R[8] = Az;
            } else if (R.length == 16) {
                R[0]  = Hx;    R[1]  = Hy;    R[2]  = Hz;   R[3]  = 0;
                R[4]  = Mx;    R[5]  = My;    R[6]  = Mz;   R[7]  = 0;
                R[8]  = Ax;    R[9]  = Ay;    R[10] = Az;   R[11] = 0;
                R[12] = 0;     R[13] = 0;     R[14] = 0;    R[15] = 1;
            }
        }
        if (I != null) {
            // compute the inclination matrix by projecting the geomagnetic
            // vector onto the Z (gravity) and X (horizontal component
            // of geomagnetic vector) axes.
            final float invE = 1.0f / (float)Math.sqrt(Ex*Ex + Ey*Ey + Ez*Ez);
            final float c = (Ex*Mx + Ey*My + Ez*Mz) * invE;
            final float s = (Ex*Ax + Ey*Ay + Ez*Az) * invE;
            if (I.length == 9) {
                I[0] = 1;     I[1] = 0;     I[2] = 0;
                I[3] = 0;     I[4] = c;     I[5] = s;
                I[6] = 0;     I[7] =-s;     I[8] = c;
            } else if (I.length == 16) {
                I[0] = 1;     I[1] = 0;     I[2] = 0;
                I[4] = 0;     I[5] = c;     I[6] = s;
                I[8] = 0;     I[9] =-s;     I[10]= c;
                I[3] = I[7] = I[11] = I[12] = I[13] = I[14] = 0;
                I[15] = 1;
            }
        }
        return true;
    }

    /**
     * Computes the geomagnetic inclination angle in radians from the
     * inclination matrix <b>I</b> returned by {@link #getRotationMatrix}.
     *
     * @param I
     *        inclination matrix see {@link #getRotationMatrix}.
     *
     * @return The geomagnetic inclination angle in radians.
     *
     * @see #getRotationMatrix(float[], float[], float[], float[])
     * @see #getOrientation(float[], float[])
     * @see GeomagneticField
     *
     */
    public static float getInclination(float[] I) {
        if (I.length == 9) {
            return (float)Math.atan2(I[5], I[4]);
        } else {
            return (float)Math.atan2(I[6], I[5]);
        }
    }

    /**
     * <p>
     * Rotates the supplied rotation matrix so it is expressed in a different
     * coordinate system. This is typically used when an application needs to
     * compute the three orientation angles of the device (see
     * {@link #getOrientation}) in a different coordinate system.
     * </p>
     *
     * <p>
     * When the rotation matrix is used for drawing (for instance with OpenGL
     * ES), it usually <b>doesn't need</b> to be transformed by this function,
     * unless the screen is physically rotated, in which case you can use
     * {@link android.view.Display#getRotation() Display.getRotation()} to
     * retrieve the current rotation of the screen. Note that because the user
     * is generally free to rotate their screen, you often should consider the
     * rotation in deciding the parameters to use here.
     * </p>
     *
     * <p>
     * <u>Examples:</u>
     * <p>
     *
     * <ul>
     * <li>Using the camera (Y axis along the camera's axis) for an augmented
     * reality application where the rotation angles are needed:</li>
     *
     * <p>
     * <ul>
     * <code>remapCoordinateSystem(inR, AXIS_X, AXIS_Z, outR);</code>
     * </ul>
     * </p>
     *
     * <li>Using the device as a mechanical compass when rotation is
     * {@link android.view.Surface#ROTATION_90 Surface.ROTATION_90}:</li>
     *
     * <p>
     * <ul>
     * <code>remapCoordinateSystem(inR, AXIS_Y, AXIS_MINUS_X, outR);</code>
     * </ul>
     * </p>
     *
     * Beware of the above example. This call is needed only to account for a
     * rotation from its natural orientation when calculating the rotation
     * angles (see {@link #getOrientation}). If the rotation matrix is also used
     * for rendering, it may not need to be transformed, for instance if your
     * {@link android.app.Activity Activity} is running in landscape mode.
     * </ul>
     *
     * <p>
     * Since the resulting coordinate system is orthonormal, only two axes need
     * to be specified.
     *
     * @param inR
     *        the rotation matrix to be transformed. Usually it is the matrix
     *        returned by {@link #getRotationMatrix}.
     *
     * @param X
     *        defines on which world axis and direction the X axis of the device
     *        is mapped.
     *
     * @param Y
     *        defines on which world axis and direction the Y axis of the device
     *        is mapped.
     *
     * @param outR
     *        the transformed rotation matrix. inR and outR can be the same
     *        array, but it is not recommended for performance reason.
     *
     * @return <code>true</code> on success. <code>false</code> if the input
     *         parameters are incorrect, for instance if X and Y define the same
     *         axis. Or if inR and outR don't have the same length.
     *
     * @see #getRotationMatrix(float[], float[], float[], float[])
     */

    public static boolean remapCoordinateSystem(float[] inR, int X, int Y,
            float[] outR)
    {
        if (inR == outR) {
            final float[] temp = mTempMatrix;
            synchronized(temp) {
                // we don't expect to have a lot of contention
                if (remapCoordinateSystemImpl(inR, X, Y, temp)) {
                    final int size = outR.length;
                    for (int i=0 ; i<size ; i++)
                        outR[i] = temp[i];
                    return true;
                }
            }
        }
        return remapCoordinateSystemImpl(inR, X, Y, outR);
    }

    private static boolean remapCoordinateSystemImpl(float[] inR, int X, int Y,
            float[] outR)
    {
        /*
         * X and Y define a rotation matrix 'r':
         *
         *  (X==1)?((X&0x80)?-1:1):0    (X==2)?((X&0x80)?-1:1):0    (X==3)?((X&0x80)?-1:1):0
         *  (Y==1)?((Y&0x80)?-1:1):0    (Y==2)?((Y&0x80)?-1:1):0    (Y==3)?((X&0x80)?-1:1):0
         *                              r[0] ^ r[1]
         *
         * where the 3rd line is the vector product of the first 2 lines
         *
         */

        final int length = outR.length;
        if (inR.length != length)
            return false;   // invalid parameter
        if ((X & 0x7C)!=0 || (Y & 0x7C)!=0)
            return false;   // invalid parameter
        if (((X & 0x3)==0) || ((Y & 0x3)==0))
            return false;   // no axis specified
        if ((X & 0x3) == (Y & 0x3))
            return false;   // same axis specified

        // Z is "the other" axis, its sign is either +/- sign(X)*sign(Y)
        // this can be calculated by exclusive-or'ing X and Y; except for
        // the sign inversion (+/-) which is calculated below.
        int Z = X ^ Y;

        // extract the axis (remove the sign), offset in the range 0 to 2.
        final int x = (X & 0x3)-1;
        final int y = (Y & 0x3)-1;
        final int z = (Z & 0x3)-1;

        // compute the sign of Z (whether it needs to be inverted)
        final int axis_y = (z+1)%3;
        final int axis_z = (z+2)%3;
        if (((x^axis_y)|(y^axis_z)) != 0)
            Z ^= 0x80;

        final boolean sx = (X>=0x80);
        final boolean sy = (Y>=0x80);
        final boolean sz = (Z>=0x80);

        // Perform R * r, in avoiding actual muls and adds.
        final int rowLength = ((length==16)?4:3);
        for (int j=0 ; j<3 ; j++) {
            final int offset = j*rowLength;
            for (int i=0 ; i<3 ; i++) {
                if (x==i)   outR[offset+i] = sx ? -inR[offset+0] : inR[offset+0];
                if (y==i)   outR[offset+i] = sy ? -inR[offset+1] : inR[offset+1];
                if (z==i)   outR[offset+i] = sz ? -inR[offset+2] : inR[offset+2];
            }
        }
        if (length == 16) {
            outR[3] = outR[7] = outR[11] = outR[12] = outR[13] = outR[14] = 0;
            outR[15] = 1;
        }
        return true;
    }

    /**
     * Computes the device's orientation based on the rotation matrix.
     * <p>
     * When it returns, the array values is filled with the result:
     * <ul>
     * <li>values[0]: <i>azimuth</i>, rotation around the Z axis.</li>
     * <li>values[1]: <i>pitch</i>, rotation around the X axis.</li>
     * <li>values[2]: <i>roll</i>, rotation around the Y axis.</li>
     * </ul>
     * <p>The reference coordinate-system used is different from the world
     * coordinate-system defined for the rotation matrix:</p>
     * <ul>
     * <li>X is defined as the vector product <b>Y.Z</b> (It is tangential to
     * the ground at the device's current location and roughly points West).</li>
     * <li>Y is tangential to the ground at the device's current location and
     * points towards the magnetic North Pole.</li>
     * <li>Z points towards the center of the Earth and is perpendicular to the ground.</li>
     * </ul>
     *
     * <p>
     * <center><img src="../../../images/axis_globe_inverted.png"
     * alt="Inverted world coordinate-system diagram." border="0" /></center>
     * </p>
     * <p>
     * All three angles above are in <b>radians</b> and <b>positive</b> in the
     * <b>counter-clockwise</b> direction.
     *
     * @param R
     *        rotation matrix see {@link #getRotationMatrix}.
     *
     * @param values
     *        an array of 3 floats to hold the result.
     *
     * @return The array values passed as argument.
     *
     * @see #getRotationMatrix(float[], float[], float[], float[])
     * @see GeomagneticField
     */
    public static float[] getOrientation(float[] R, float values[]) {
        /*
         * 4x4 (length=16) case:
         *   /  R[ 0]   R[ 1]   R[ 2]   0  \
         *   |  R[ 4]   R[ 5]   R[ 6]   0  |
         *   |  R[ 8]   R[ 9]   R[10]   0  |
         *   \      0       0       0   1  /
         *
         * 3x3 (length=9) case:
         *   /  R[ 0]   R[ 1]   R[ 2]  \
         *   |  R[ 3]   R[ 4]   R[ 5]  |
         *   \  R[ 6]   R[ 7]   R[ 8]  /
         *
         */
        if (R.length == 9) {
            values[0] = (float)Math.atan2(R[1], R[4]);
            values[1] = (float)Math.asin(-R[7]);
            values[2] = (float)Math.atan2(-R[6], R[8]);
        } else {
            values[0] = (float)Math.atan2(R[1], R[5]);
            values[1] = (float)Math.asin(-R[9]);
            values[2] = (float)Math.atan2(-R[8], R[10]);
        }
        return values;
    }

    /**
     * Computes the Altitude in meters from the atmospheric pressure and the
     * pressure at sea level.
     * <p>
     * Typically the atmospheric pressure is read from a
     * {@link Sensor#TYPE_PRESSURE} sensor. The pressure at sea level must be
     * known, usually it can be retrieved from airport databases in the
     * vicinity. If unknown, you can use {@link #PRESSURE_STANDARD_ATMOSPHERE}
     * as an approximation, but absolute altitudes won't be accurate.
     * </p>
     * <p>
     * To calculate altitude differences, you must calculate the difference
     * between the altitudes at both points. If you don't know the altitude
     * as sea level, you can use {@link #PRESSURE_STANDARD_ATMOSPHERE} instead,
     * which will give good results considering the range of pressure typically
     * involved.
     * </p>
     * <p>
     * <code><ul>
     *  float altitude_difference =
     *      getAltitude(SensorManager.PRESSURE_STANDARD_ATMOSPHERE, pressure_at_point2)
     *      - getAltitude(SensorManager.PRESSURE_STANDARD_ATMOSPHERE, pressure_at_point1);
     * </ul></code>
     * </p>
     *
     * @param p0 pressure at sea level
     * @param p atmospheric pressure
     * @return Altitude in meters
     */
    public static float getAltitude(float p0, float p) {
        final float coef = 1.0f / 5.255f;
        return 44330.0f * (1.0f - (float)Math.pow(p/p0, coef));
    }

    /** Helper function to compute the angle change between two rotation matrices.
     *  Given a current rotation matrix (R) and a previous rotation matrix
     *  (prevR) computes the rotation around the z,x, and y axes which
     *  transforms prevR to R.
     *  outputs a 3 element vector containing the z,x, and y angle
     *  change at indexes 0, 1, and 2 respectively.
     * <p> Each input matrix is either as a 3x3 or 4x4 row-major matrix
     * depending on the length of the passed array:
     * <p>If the array length is 9, then the array elements represent this matrix
     * <pre>
     *   /  R[ 0]   R[ 1]   R[ 2]   \
     *   |  R[ 3]   R[ 4]   R[ 5]   |
     *   \  R[ 6]   R[ 7]   R[ 8]   /
     *</pre>
     * <p>If the array length is 16, then the array elements represent this matrix
     * <pre>
     *   /  R[ 0]   R[ 1]   R[ 2]   R[ 3]  \
     *   |  R[ 4]   R[ 5]   R[ 6]   R[ 7]  |
     *   |  R[ 8]   R[ 9]   R[10]   R[11]  |
     *   \  R[12]   R[13]   R[14]   R[15]  /
     *</pre>
     * @param R current rotation matrix
     * @param prevR previous rotation matrix
     * @param angleChange an an array of floats (z, x, and y) in which the angle change is stored
     */

    public static void getAngleChange( float[] angleChange, float[] R, float[] prevR) {
        float rd1=0,rd4=0, rd6=0,rd7=0, rd8=0;
        float ri0=0,ri1=0,ri2=0,ri3=0,ri4=0,ri5=0,ri6=0,ri7=0,ri8=0;
        float pri0=0, pri1=0, pri2=0, pri3=0, pri4=0, pri5=0, pri6=0, pri7=0, pri8=0;

        if(R.length == 9) {
            ri0 = R[0];
            ri1 = R[1];
            ri2 = R[2];
            ri3 = R[3];
            ri4 = R[4];
            ri5 = R[5];
            ri6 = R[6];
            ri7 = R[7];
            ri8 = R[8];
        } else if(R.length == 16) {
            ri0 = R[0];
            ri1 = R[1];
            ri2 = R[2];
            ri3 = R[4];
            ri4 = R[5];
            ri5 = R[6];
            ri6 = R[8];
            ri7 = R[9];
            ri8 = R[10];
        }

        if(prevR.length == 9) {
            pri0 = prevR[0];
            pri1 = prevR[1];
            pri2 = prevR[2];
            pri3 = prevR[3];
            pri4 = prevR[4];
            pri5 = prevR[5];
            pri6 = prevR[6];
            pri7 = prevR[7];
            pri8 = prevR[8];
        } else if(prevR.length == 16) {
            pri0 = prevR[0];
            pri1 = prevR[1];
            pri2 = prevR[2];
            pri3 = prevR[4];
            pri4 = prevR[5];
            pri5 = prevR[6];
            pri6 = prevR[8];
            pri7 = prevR[9];
            pri8 = prevR[10];
        }

        // calculate the parts of the rotation difference matrix we need
        // rd[i][j] = pri[0][i] * ri[0][j] + pri[1][i] * ri[1][j] + pri[2][i] * ri[2][j];

        rd1 = pri0 * ri1 + pri3 * ri4 + pri6 * ri7; //rd[0][1]
        rd4 = pri1 * ri1 + pri4 * ri4 + pri7 * ri7; //rd[1][1]
        rd6 = pri2 * ri0 + pri5 * ri3 + pri8 * ri6; //rd[2][0]
        rd7 = pri2 * ri1 + pri5 * ri4 + pri8 * ri7; //rd[2][1]
        rd8 = pri2 * ri2 + pri5 * ri5 + pri8 * ri8; //rd[2][2]

        angleChange[0] = (float)Math.atan2(rd1, rd4);
        angleChange[1] = (float)Math.asin(-rd7);
        angleChange[2] = (float)Math.atan2(-rd6, rd8);

    }

    /** Helper function to convert a rotation vector to a rotation matrix.
     *  Given a rotation vector (presumably from a ROTATION_VECTOR sensor), returns a
     *  9  or 16 element rotation matrix in the array R.  R must have length 9 or 16.
     *  If R.length == 9, the following matrix is returned:
     * <pre>
     *   /  R[ 0]   R[ 1]   R[ 2]   \
     *   |  R[ 3]   R[ 4]   R[ 5]   |
     *   \  R[ 6]   R[ 7]   R[ 8]   /
     *</pre>
     * If R.length == 16, the following matrix is returned:
     * <pre>
     *   /  R[ 0]   R[ 1]   R[ 2]   0  \
     *   |  R[ 4]   R[ 5]   R[ 6]   0  |
     *   |  R[ 8]   R[ 9]   R[10]   0  |
     *   \  0       0       0       1  /
     *</pre>
     *  @param rotationVector the rotation vector to convert
     *  @param R an array of floats in which to store the rotation matrix
     */
    public static void getRotationMatrixFromVector(float[] R, float[] rotationVector) {

        float q0;
        float q1 = rotationVector[0];
        float q2 = rotationVector[1];
        float q3 = rotationVector[2];

        if (rotationVector.length == 4) {
            q0 = rotationVector[3];
        } else {
            q0 = 1 - q1*q1 - q2*q2 - q3*q3;
            q0 = (q0 > 0) ? (float)Math.sqrt(q0) : 0;
        }

        float sq_q1 = 2 * q1 * q1;
        float sq_q2 = 2 * q2 * q2;
        float sq_q3 = 2 * q3 * q3;
        float q1_q2 = 2 * q1 * q2;
        float q3_q0 = 2 * q3 * q0;
        float q1_q3 = 2 * q1 * q3;
        float q2_q0 = 2 * q2 * q0;
        float q2_q3 = 2 * q2 * q3;
        float q1_q0 = 2 * q1 * q0;

        if(R.length == 9) {
            R[0] = 1 - sq_q2 - sq_q3;
            R[1] = q1_q2 - q3_q0;
            R[2] = q1_q3 + q2_q0;

            R[3] = q1_q2 + q3_q0;
            R[4] = 1 - sq_q1 - sq_q3;
            R[5] = q2_q3 - q1_q0;

            R[6] = q1_q3 - q2_q0;
            R[7] = q2_q3 + q1_q0;
            R[8] = 1 - sq_q1 - sq_q2;
        } else if (R.length == 16) {
            R[0] = 1 - sq_q2 - sq_q3;
            R[1] = q1_q2 - q3_q0;
            R[2] = q1_q3 + q2_q0;
            R[3] = 0.0f;

            R[4] = q1_q2 + q3_q0;
            R[5] = 1 - sq_q1 - sq_q3;
            R[6] = q2_q3 - q1_q0;
            R[7] = 0.0f;

            R[8] = q1_q3 - q2_q0;
            R[9] = q2_q3 + q1_q0;
            R[10] = 1 - sq_q1 - sq_q2;
            R[11] = 0.0f;

            R[12] = R[13] = R[14] = 0.0f;
            R[15] = 1.0f;
        }
    }

    /** Helper function to convert a rotation vector to a normalized quaternion.
     *  Given a rotation vector (presumably from a ROTATION_VECTOR sensor), returns a normalized
     *  quaternion in the array Q.  The quaternion is stored as [w, x, y, z]
     *  @param rv the rotation vector to convert
     *  @param Q an array of floats in which to store the computed quaternion
     */
    public static void getQuaternionFromVector(float[] Q, float[] rv) {
        if (rv.length == 4) {
            Q[0] = rv[3];
        } else {
            Q[0] = 1 - rv[0]*rv[0] - rv[1]*rv[1] - rv[2]*rv[2];
            Q[0] = (Q[0] > 0) ? (float)Math.sqrt(Q[0]) : 0;
        }
        Q[1] = rv[0];
        Q[2] = rv[1];
        Q[3] = rv[2];
    }

    /**
     * Requests receiving trigger events for a trigger sensor.
     *
     * <p>
     * When the sensor detects a trigger event condition, such as significant motion in
     * the case of the {@link Sensor#TYPE_SIGNIFICANT_MOTION}, the provided trigger listener
     * will be invoked once and then its request to receive trigger events will be canceled.
     * To continue receiving trigger events, the application must request to receive trigger
     * events again.
     * </p>
     *
     * @param listener The listener on which the
     *        {@link TriggerEventListener#onTrigger(TriggerEvent)} will be delivered.
     * @param sensor The sensor to be enabled.
     *
     * @return true if the sensor was successfully enabled.
     *
     * @throws IllegalArgumentException when sensor is null or not a trigger sensor.
     */
    public boolean requestTriggerSensor(TriggerEventListener listener, Sensor sensor) {
        return requestTriggerSensorImpl(listener, sensor);
    }

    /**
     * @hide
     */
    protected abstract boolean requestTriggerSensorImpl(TriggerEventListener listener,
            Sensor sensor);

    /**
     * Cancels receiving trigger events for a trigger sensor.
     *
     * <p>
     * Note that a Trigger sensor will be auto disabled if
     * {@link TriggerEventListener#onTrigger(TriggerEvent)} has triggered.
     * This method is provided in case the user wants to explicitly cancel the request
     * to receive trigger events.
     * </p>
     *
     * @param listener The listener on which the
     *        {@link TriggerEventListener#onTrigger(TriggerEvent)}
     *        is delivered.It should be the same as the one used
     *        in {@link #requestTriggerSensor(TriggerEventListener, Sensor)}
     * @param sensor The sensor for which the trigger request should be canceled.
     *        If null, it cancels receiving trigger for all sensors associated
     *        with the listener.
     *
     * @return true if successfully canceled.
     *
     * @throws IllegalArgumentException when sensor is a trigger sensor.
     */
    public boolean cancelTriggerSensor(TriggerEventListener listener, Sensor sensor) {
        return cancelTriggerSensorImpl(listener, sensor, true);
    }

    /**
     * @hide
     */
    protected abstract boolean cancelTriggerSensorImpl(TriggerEventListener listener,
            Sensor sensor, boolean disable);


    private LegacySensorManager getLegacySensorManager() {
        synchronized (mSensorListByType) {
            if (mLegacySensorManager == null) {
                Log.i(TAG, "This application is using deprecated SensorManager API which will "
                        + "be removed someday.  Please consider switching to the new API.");
                mLegacySensorManager = new LegacySensorManager(this);
            }
            return mLegacySensorManager;
        }
    }

    private static int getDelay(int rate) {
        int delay = -1;
        switch (rate) {
            case SENSOR_DELAY_FASTEST:
                delay = 0;
                break;
            case SENSOR_DELAY_GAME:
                delay = 20000;
                break;
            case SENSOR_DELAY_UI:
                delay = 66667;
                break;
            case SENSOR_DELAY_NORMAL:
                delay = 200000;
                break;
            default:
                delay = rate;
                break;
        }
        return delay;
    }
}