docs/html/guide/topics/sensors/sensors_motion.jd

page.title=Motion Sensors
page.tags="sensorevent","accelerometer","gyroscope","gravity","rotation"
@jd:body

<div id="qv-wrapper">
  <div id="qv">
    <h2>In this document</h2>
    <ol>
      <li><a href="#sensors-motion-accel">Using the Accelerometer</a></li>
      <li><a href="#sensors-motion-grav">Using the Gravity Sensor</a></li>
      <li><a href="#sensors-motion-gyro">Using the Gyroscope</a></li>
      <li><a href="#sensors-motion-linear">Using the Linear Accelerometer</a></li>
      <li><a href="#sensors-motion-rotate">Using the Rotation Vector Sensor</a></li>
    </ol>
    <h2>Key classes and interfaces</h2>
    <ol>
      <li>{@link android.hardware.Sensor}</li>
      <li>{@link android.hardware.SensorEvent}</li>
      <li>{@link android.hardware.SensorManager}</li>
      <li>{@link android.hardware.SensorEventListener}</li>
    </ol>
    <h2>Related samples</h2>
    <ol>
      <li><a href="{@docRoot}resources/samples/AccelerometerPlay/index.html">Accelerometer
      Play</a></li>
      <li><a
href="{@docRoot}resources/samples/ApiDemos/src/com/example/android/apis/os/RotationVectorDemo.html">
API Demos (OS - RotationVectorDemo)</a></li>
      <li><a
href="{@docRoot}resources/samples/ApiDemos/src/com/example/android/apis/os/RotationVectorDemo.html"
>API Demos (OS - Sensors)</a></li>
    </ol>
    <h2>See also</h2>
    <ol>
      <li><a href="{@docRoot}guide/topics/sensors/index.html">Sensors</a></li>
      <li><a href="{@docRoot}guide/topics/sensors/sensors_overview.html">Sensors Overview</a></li>
      <li><a href="{@docRoot}guide/topics/sensors/sensors_position.html">Position Sensors</a></li>
      <li><a href="{@docRoot}guide/topics/sensors/sensors_environment.html">Environment
Sensors</a></li>
    </ol>
  </div>
</div>

<p>The Android platform provides several sensors that let you monitor the motion of a device. Two of
these sensors are always hardware-based (the accelerometer and gyroscope), and three of these
sensors can be either hardware-based or software-based (the gravity, linear acceleration, and
rotation vector sensors). For example, on some devices the software-based sensors derive their data
from the accelerometer and magnetometer, but on other devices they may also use the gyroscope to
derive their data. Most Android-powered devices have an accelerometer, and many now
include a gyroscope. The availability of the softare-based sensors is more variable because they
often rely on one or more hardware sensors to derive their data.</p>

<p>Motion sensors are useful for monitoring device movement, such as tilt, shake, rotation, or
swing. The movement is usually a reflection of direct user input (for example, a user steering a
car in a game or a user controlling a ball in a game), but it can also be a reflection of the
physical environment in which the device is sitting (for example, moving with you while you drive
your car). In the first case, you are monitoring motion relative to the device's frame of reference
or your application's frame of reference; in the second case you are monitoring motion relative to
the world's frame of reference. Motion sensors by themselves are not typically used to monitor
device position, but they can be used with other sensors, such as the geomagnetic field sensor, to
determine a device's position relative to the world's frame of reference (see <a
href="{@docRoot}guide/topics/sensors/sensors_position.html">Position Sensors</a> for more
information).</p>

<p>All of the motion sensors return multi-dimensional arrays of sensor values for each {@link
android.hardware.SensorEvent}. For example, during a single sensor event the accelerometer returns
acceleration force data for the three coordinate axes, and the gyroscope returns rate of rotation
data for the three coordinate axes. These data values are returned in a <code>float</code> array
({@link android.hardware.SensorEvent#values}) along with other {@link android.hardware.SensorEvent}
parameters. Table 1 summarizes the motion sensors that are available on the Android platform.</p>

<p class="table-caption" id="table1">
  <strong>Table 1.</strong> Motion sensors that are supported on the Android platform.</p>
<table>
  <tr>
    <th scope="col" style="white-space:nowrap">Sensor</th>
    <th scope="col" style="white-space:nowrap">Sensor event data</th>
    <th scope="col" style="white-space:nowrap">Description</th>
    <th scope="col" style="white-space:nowrap">Units of measure</th>
  </tr>
  <tr>
    <td rowspan="3">{@link android.hardware.Sensor#TYPE_ACCELEROMETER}</td>
    <td><code>SensorEvent.values[0]</code></td>
    <td>Acceleration force along the x axis (including gravity).</td>
    <td rowspan="3">m/s<sup>2</sup></td>
  </tr>
  <tr>
    <td><code>SensorEvent.values[1]</code></td>
    <td>Acceleration force along the y axis (including gravity).</td>
  </tr>
  <tr>
    <td><code>SensorEvent.values[2]</code></td>
    <td>Acceleration force along the z axis (including gravity).</td>
  </tr>
  <tr>
    <td rowspan="3">{@link android.hardware.Sensor#TYPE_GRAVITY}</td>
    <td><code>SensorEvent.values[0]</code></td>
    <td>Force of gravity along the x axis.</td>
    <td rowspan="3">m/s<sup>2</sup></td>
  </tr>
  <tr>
    <td><code>SensorEvent.values[1]</code></td>
    <td>Force of gravity along the y axis.</td>
  </tr>
  <tr>
    <td><code>SensorEvent.values[2]</code></td>
    <td>Force of gravity along the z axis.</td>
  </tr>
  <tr>
    <td rowspan="3">{@link android.hardware.Sensor#TYPE_GYROSCOPE}</td>
    <td><code>SensorEvent.values[0]</code></td>
    <td>Rate of rotation around the x axis.</td>
    <td rowspan="3">rad/s</td>
  </tr>
  <tr>
    <td><code>SensorEvent.values[1]</code></td>
    <td>Rate of rotation around the y axis.</td>
  </tr>
  <tr>
    <td><code>SensorEvent.values[2]</code></td>
    <td>Rate of rotation around the z axis.</td>
  </tr>
  <tr>
    <td rowspan="3">{@link android.hardware.Sensor#TYPE_LINEAR_ACCELERATION}</td>
    <td><code>SensorEvent.values[0]</code></td>
    <td>Acceleration force along the x axis (excluding gravity).</td>
    <td rowspan="3">m/s<sup>2</sup></td>
  </tr>
  <tr>
    <td><code>SensorEvent.values[1]</code></td>
    <td>Acceleration force along the y axis (excluding gravity).</td>
  </tr>
  <tr>
    <td><code>SensorEvent.values[2]</code></td>
    <td>Acceleration force along the z axis (excluding gravity).</td>
  </tr>
  <tr>
    <td rowspan="4">{@link android.hardware.Sensor#TYPE_ROTATION_VECTOR}</td>
    <td><code>SensorEvent.values[0]</code></td>
    <td>Rotation vector component along the x axis (x * sin(θ/2)).</td>
    <td rowspan="4">Unitless</td>
  </tr>
  <tr>
    <td><code>SensorEvent.values[1]</code></td>
    <td>Rotation vector component along the y axis (y * sin(θ/2)).</td>
  </tr>
  <tr>
    <td><code>SensorEvent.values[2]</code></td>
    <td>Rotation vector component along the z axis (z * sin(θ/2)).</td>
  </tr>
  <tr>
    <td><code>SensorEvent.values[3]</code></td>
    <td>Scalar component of the rotation vector ((cos(θ/2)).<sup>1</sup></td>
  </tr>
</table>

<p class="note"><strong><sup>1</sup></strong> The scalar component is an optional value.</p>

<p>The rotation vector sensor and the gravity sensor are the most frequently used sensors for motion
detection and monitoring. The rotational vector sensor is particularly versatile and can be used for
a wide range of motion-related tasks, such as detecting gestures, monitoring angular change, and
monitoring relative orientation changes. For example, the rotational vector sensor is ideal if you
are developing a game, an augmented reality application, a 2-dimensional or 3-dimensional compass,
or a camera stabilization app. In most cases, using these sensors is a better choice than using
the accelerometer and geomagnetic field sensor or the orientation sensor.</p>

<h3>Android Open Source Project Sensors</h3>

<p>The Android Open Source Project (AOSP) provides three software-based motion sensors: a gravity
sensor, a linear acceleration sensor, and a rotation vector sensor. These sensors were updated in
Android 4.0 and now use a device's gyroscope (in addition to other sensors) to improve stability and
performance. If you want to try these sensors, you can identify them by using the {@link
android.hardware.Sensor#getVendor} method and the {@link android.hardware.Sensor#getVersion} method
(the vendor is Google Inc.; the version number is 3). Identifying these sensors by vendor and
version number is necessary because the Android system considers these three sensors to be secondary
sensors. For example, if a device manufacturer provides their own gravity sensor, then the AOSP
gravity sensor shows up as a secondary gravity sensor. All three of these sensors rely on a
gyroscope: if a device does not have a gyroscope, these sensors do not show up and are not
available for use.</p>

<h2 id="sensors-motion-accel">Using the Accelerometer</h2>

<p>An acceleration sensor measures the acceleration applied to the device, including the force of
gravity. The following code shows you how to get an instance of the default acceleration sensor:</p>

<pre>
private SensorManager mSensorManager;
private Sensor mSensor;
  ...
mSensorManager = (SensorManager) getSystemService(Context.SENSOR_SERVICE);
mSensor = mSensorManager.getDefaultSensor(Sensor.TYPE_ACCELEROMETER);
</pre>

<p>Conceptually, an acceleration sensor determines the acceleration that is applied
to a device (A<sub>d</sub>) by measuring the forces that are applied to the sensor
itself (F<sub>s</sub>) using the following relationship:</p>

<pre class="no-pretty-print classic">
A<sub>d</sub> = - ∑F<sub>s</sub> / mass
</pre>

<p>However, the force of gravity is always influencing the measured acceleration according to
the following relationship:</p>

<pre class="no-pretty-print classic">
A<sub>d</sub> = -g - ∑F / mass
</pre>

<p>For this reason, when the device is sitting on a table (and not accelerating), the
accelerometer reads a magnitude of g = 9.81 m/s<sup>2</sup>. Similarly, when the device is in
free fall and therefore rapidly accelerating toward the ground at 9.81 m/s<sup>2</sup>, its
accelerometer reads a magnitude of g = 0 m/s<sup>2</sup>. Therefore, to measure
the real acceleration of the device, the contribution of the force of gravity must be removed from
the accelerometer data. This can be achieved by applying a high-pass filter. Conversely, a low-pass
filter can be used to isolate the force of gravity. The following example shows how you can do
this:</p>

<pre>
public void onSensorChanged(SensorEvent event){
  // In this example, alpha is calculated as t / (t + dT),
  // where t is the low-pass filter's time-constant and
  // dT is the event delivery rate.

  final float alpha = 0.8;

  // Isolate the force of gravity with the low-pass filter.
  gravity[0] = alpha * gravity[0] + (1 - alpha) * event.values[0];
  gravity[1] = alpha * gravity[1] + (1 - alpha) * event.values[1];
  gravity[2] = alpha * gravity[2] + (1 - alpha) * event.values[2];

  // Remove the gravity contribution with the high-pass filter.
  linear_acceleration[0] = event.values[0] - gravity[0];
  linear_acceleration[1] = event.values[1] - gravity[1];
  linear_acceleration[2] = event.values[2] - gravity[2];
}
</pre>

<p class="note"><strong>Note:</strong> You can use many different techniques to filter sensor data.
The code sample above uses a simple filter constant (alpha) to create a low-pass filter. This filter
constant is derived from a time constant (t), which is a rough representation of the latency that
the filter adds to the sensor events, and the sensor's event delivery rate (dt). The code sample
uses an alpha value of 0.8 for demonstration purposes. If you use this filtering method you may need
to choose a different alpha value.</p>

<p>Accelerometers use the standard sensor <a
href="{@docRoot}guide/topics/sensors/sensors_overview.html#sensors-coords">coordinate
system</a>. In practice, this means that the following conditions apply when a device is laying
flat on a table in its natural orientation:</p>

<ul>
  <li>If you push the device on the left side (so it moves to the right), the x acceleration value
is positive.</li>
  <li>If you push the device on the bottom (so it moves away from you), the y acceleration value is
positive.</li>
  <li>If you push the device toward the sky with an acceleration of A m/s<sup>2</sup>, the
z acceleration value is equal to A + 9.81, which corresponds to the acceleration of the device (+A
m/s<sup>2</sup>) minus the force of gravity (-9.81 m/s<sup>2</sup>).</li>
  <li>The stationary device will have an acceleration value of +9.81, which corresponds to the
acceleration of the device (0 m/s<sup>2</sup> minus the force of gravity, which is -9.81
m/s<sup>2</sup>).</li>
</ul>

<p>In general, the accelerometer is a good sensor to use if you are monitoring device motion.
Almost every Android-powered handset and tablet has an accelerometer, and it uses about 10 times
less power than the other motion sensors. One drawback is that you might have to implement
low-pass and high-pass filters to eliminate gravitational forces and reduce noise.</p>

<p>The Android SDK provides a sample application that shows how to use the acceleration sensor (<a
href="{@docRoot}resources/samples/AccelerometerPlay/index.html">Accelerometer Play</a>).</p>

<h2 id="sensors-motion-grav">Using the Gravity Sensor</h2>

<p>The gravity sensor provides a three dimensional vector indicating the direction and magnitude of
gravity. The following code shows you how to get an instance of the default gravity sensor:</p>

<pre>
private SensorManager mSensorManager;
private Sensor mSensor;
...
mSensorManager = (SensorManager) getSystemService(Context.SENSOR_SERVICE);
mSensor = mSensorManager.getDefaultSensor(Sensor.TYPE_GRAVITY);
</pre>

<p>The units are the same as those used by the acceleration
sensor (m/s<sup>2</sup>), and the coordinate system is the same as the one used by the
acceleration sensor.</p>

<p class="note"><strong>Note:</strong> When a device is at rest, the output of the gravity sensor
should be identical to that of the accelerometer.</p>

<h2 id="sensors-motion-gyro">Using the Gyroscope</h2>
<p>The gyroscope measures the rate or rotation in rad/s around a device's x, y,
and z axis. The following code shows you how to get an instance of the default gyroscope:</p>

<pre>
private SensorManager mSensorManager;
private Sensor mSensor;
...
mSensorManager = (SensorManager) getSystemService(Context.SENSOR_SERVICE);
mSensor = mSensorManager.getDefaultSensor(Sensor.TYPE_GYROSCOPE);
</pre>

<p>The sensor's <a
href="{@docRoot}guide/topics/sensors/sensors_overview.html#sensors-coords">coordinate system</a>
is the same as the one used for the acceleration sensor. Rotation is positive in the
counter-clockwise direction; that is, an observer looking
from some positive location on the x, y or z axis at a device positioned on the origin would report
positive rotation if the device appeared to be rotating counter clockwise. This is the
standard mathematical definition of positive rotation and is not the same as the definition for
roll that is used by the orientation sensor.</p>

<p>Usually, the output of the gyroscope is integrated over time to calculate a rotation describing
the change of angles over the timestep. For example:</p>

<pre>
// Create a constant to convert nanoseconds to seconds.
private static final float NS2S = 1.0f / 1000000000.0f;
private final float[] deltaRotationVector = new float[4]();
private float timestamp;

public void onSensorChanged(SensorEvent event) {
  // This timestep's delta rotation to be multiplied by the current rotation
  // after computing it from the gyro sample data.
  if (timestamp != 0) {
    final float dT = (event.timestamp - timestamp) * NS2S;
    // Axis of the rotation sample, not normalized yet.
    float axisX = event.values[0];
    float axisY = event.values[1];
    float axisZ = event.values[2];

    // Calculate the angular speed of the sample
    float omegaMagnitude = sqrt(axisX*axisX + axisY*axisY + axisZ*axisZ);

    // Normalize the rotation vector if it's big enough to get the axis
    // (that is, EPSILON should represent your maximum allowable margin of error)
    if (omegaMagnitude > EPSILON) {
      axisX /= omegaMagnitude;
      axisY /= omegaMagnitude;
      axisZ /= omegaMagnitude;
    }

    // Integrate around this axis with the angular speed by the timestep
    // in order to get a delta rotation from this sample over the timestep
    // We will convert this axis-angle representation of the delta rotation
    // into a quaternion before turning it into the rotation matrix.
    float thetaOverTwo = omegaMagnitude * dT / 2.0f;
    float sinThetaOverTwo = sin(thetaOverTwo);
    float cosThetaOverTwo = cos(thetaOverTwo);
    deltaRotationVector[0] = sinThetaOverTwo * axisX;
    deltaRotationVector[1] = sinThetaOverTwo * axisY;
    deltaRotationVector[2] = sinThetaOverTwo * axisZ;
    deltaRotationVector[3] = cosThetaOverTwo;
  }
  timestamp = event.timestamp;
  float[] deltaRotationMatrix = new float[9];
  SensorManager.getRotationMatrixFromVector(deltaRotationMatrix, deltaRotationVector);
    // User code should concatenate the delta rotation we computed with the current rotation
    // in order to get the updated rotation.
    // rotationCurrent = rotationCurrent * deltaRotationMatrix;
   }
}
 </pre>

<p>Standard gyroscopes provide raw rotational data without any filtering or correction for noise and
drift (bias). In practice, gyroscope noise and drift will introduce errors that need to be
compensated for. You usually determine the drift (bias) and noise by monitoring other sensors, such
as the gravity sensor or accelerometer.</p>

<h2 id="sensors-motion-linear">Using the Linear Accelerometer</h2>

<p>The linear acceleration sensor provides you with a three-dimensional vector representing
acceleration along each device axis, excluding gravity. The following code shows you how to get an
instance of the default linear acceleration sensor:</p>

<pre>
private SensorManager mSensorManager;
private Sensor mSensor;
...
mSensorManager = (SensorManager) getSystemService(Context.SENSOR_SERVICE);
mSensor = mSensorManager.getDefaultSensor(Sensor.TYPE_LINEAR_ACCELERATION);
</pre>

<p>Conceptually, this sensor provides you with acceleration data according to the following
relationship:</p>

<pre class="no-pretty-print classic">
linear acceleration = acceleration - acceleration due to gravity
</pre>

<p>You typically use this sensor when you want to obtain acceleration data without the influence of
gravity. For example, you could use this sensor to see how fast your car is going. The linear
acceleration sensor always has an offset, which you need to remove. The simplest way to do this is
to build a calibration step into your application. During calibration you can ask the user to set
the device on a table, and then read the offsets for all three axes. You can then subtract that
offset from the acceleration sensor's direct readings to get the actual linear
acceleration.</p>

<p>The sensor <a
  href="{@docRoot}guide/topics/sensors/sensors_overview.html#sensors-coords">coordinate
system</a> is the same as the one used by the acceleration sensor, as are the units of measure
(m/s<sup>2</sup>).

<h2 id="sensors-motion-rotate">Using the Rotation Vector Sensor</h2>

<p>The rotation vector represents the orientation of the device as a combination of an angle and an
axis, in which the device has rotated through an angle θ around an axis (x, y, or z). The following
code shows you how to get an instance of the default rotation vector sensor:</p>

<pre>
private SensorManager mSensorManager;
private Sensor mSensor;
...
mSensorManager = (SensorManager) getSystemService(Context.SENSOR_SERVICE);
mSensor = mSensorManager.getDefaultSensor(Sensor.TYPE_ROTATION_VECTOR);
</pre>

<p>The three elements of the rotation vector are expressed as follows:</p>

<pre class="no-pretty-print classic">
x*sin(θ/2)
y*sin(θ/2)
z*sin(θ/2)
</pre>

<p>Where the magnitude of the rotation vector is equal to sin(θ/2), and the direction of the
rotation vector is equal to the direction of the axis of rotation.</p>

<div class="figure" style="width:246px">
  <img src="{@docRoot}images/axis_globe.png" alt="" height="235" />
  <p class="img-caption">
    <strong>Figure 1.</strong> Coordinate system used by the rotation vector sensor.
  </p>
</div>

<p>The three elements of the rotation vector are equal to the last three components of a unit
quaternion (cos(θ/2), x*sin(θ/2), y*sin(θ/2), z*sin(θ/2)). Elements of the rotation vector are
unitless. The x, y, and z axes are defined in the same way as the acceleration sensor. The reference
coordinate system is defined as a direct orthonormal basis (see figure 1). This coordinate system
has the following characteristics:</p>

<ul>
  <li>X is defined as the vector product Y x Z. It is tangential to the
ground at the device's current location and points approximately East.</li>
  <li>Y is tangential to the ground at the device's current location and points toward the
geomagnetic
North Pole.</li>
  <li>Z points toward the sky and is perpendicular to the ground plane.</li>
</ul>

<p>The Android SDK provides a sample application that shows how to use the rotation vector sensor.
The sample application is located in the API Demos code (<a
href="{@docRoot}resources/samples/ApiDemos/src/com/example/android/apis/os/RotationVectorDemo.html">
OS - RotationVectorDemo</a>).</p>