Develop Reference

Android Gyroscope for tilting

Thanks in advance for your help first.
I have found so many examples using Gyroscope. But I couldn't find adequate one for me.
I'd like to make a simple quiz game that do actions when I tilt VM to 90 degrees forward and backward. Many examples said I might use "pitch" value of Gyroscope. Could you give some advices for me??

I have done a similar thing where i need draw a rectangle with includes nearby places and must point it to the place and show details.
public void onSensorChanged(SensorEvent event) {
final Handler handler = new Handler();
switch (event.sensor.getType()) {
case Sensor.TYPE_ACCELEROMETER:
mAcceleromterReading =
SensorUtilities.filterSensors(event.values, mAcceleromterReading);
break;
case Sensor.TYPE_MAGNETIC_FIELD:
mMagnetometerReading =
SensorUtilities.filterSensors(event.values, mMagnetometerReading);
break;
float[] orientation =
SensorUtilities.computeDeviceOrientation(mAcceleromterReading, mMagnetometerReading);
if (orientation != null) {
float azimuth = (float) Math.toDegrees(orientation[0]);
if (azimuth < 0) {
azimuth += 360f;
}
// Convert pitch and roll from radians to degrees
float pitch = (float) Math.toDegrees(orientation[1]);
float roll = (float) Math.toDegrees(orientation[2]);
if (abs(pitch - pitchPrev) > PITCH_THRESHOLD && abs(roll - rollPrev) > ROLL_THRESHOLD
&& abs(azimuth - azimuthPrev) > AZIMUTH_THRESHOLD) { // && abs(roll - rollPrev) > rollThreshold
if (DashplexManager.getInstance().mlocation != null) {
mOverlayDisplayView.setHorizontalFOV(mPreview.getHorizontalFOV());
mOverlayDisplayView.setVerticalFOV(mPreview.getVerticalFOV());
mOverlayDisplayView.setAzimuth(azimuth);
mOverlayDisplayView.setPitch(pitch);
mOverlayDisplayView.setRoll(roll);
// Update the OverlayDisplayView to red raw when sensor dataLogin changes,
// redrawing only when the camera is not pointing straight up or down
if (pitch <= 75 && pitch >= -75) {
//Log.d("issueAR", "invalidate: ");
mOverlayDisplayView.invalidate();
}
}
pitchPrev = pitch;
rollPrev = roll;
azimuthPrev = azimuth;
}
}
computeDeviceOrientation method
public static float[] computeDeviceOrientation(float[] accelerometerReading, float[] magnetometerReading) {
if (accelerometerReading == null || magnetometerReading == null) {
return null;
}
final float[] rotationMatrix = new float[9];
SensorManager.getRotationMatrix(rotationMatrix, null, accelerometerReading, magnetometerReading);
// Remap the coordinates with the camera pointing along the Y axis.
// This way, portrait and landscape orientation return the same azimuth to magnetic north.
final float cameraRotationMatrix[] = new float[9];
SensorManager.remapCoordinateSystem(rotationMatrix, SensorManager.AXIS_X,
SensorManager.AXIS_Z, cameraRotationMatrix);
final float[] orientationAngles = new float[3];
SensorManager.getOrientation(cameraRotationMatrix, orientationAngles);
// Return a float array containing [azimuth, pitch, roll]
return orientationAngles;
}
onDraw method
#SuppressLint("DrawAllocation")
#Override
protected void onDraw(Canvas canvas) {
super.onDraw(canvas);
// Log.d("issueAR", "onDraw: ");
// Log.d("issueAR", "mVerticalFOV: "+mVerticalFOV+" "+"mHorizontalFOV"+mHorizontalFOV);
// Get the viewports only once
if (!mGotViewports && mVerticalFOV > 0 && mHorizontalFOV > 0) {
mViewportHeight = canvas.getHeight() / mVerticalFOV;
mViewportWidth = canvas.getWidth() / mHorizontalFOV;
mGotViewports = true;
//Log.d("onDraw", "mViewportHeight: " + mViewportHeight);
}
if (!mGotViewports) {
return;
}
// Set the paints that remain constant only once
if (!mSetPaints) {
mTextPaint.setTextAlign(Paint.Align.LEFT);
mTextPaint.setTextSize(getResources().getDimensionPixelSize(R.dimen.canvas_text_size));
mTextPaint.setColor(Color.WHITE);
mOutlinePaint.setStyle(Paint.Style.STROKE);
mOutlinePaint.setStrokeWidth(mOutline);
mBubblePaint.setStyle(Paint.Style.FILL);
mSetPaints = true;
}
// Center of view
float x = canvas.getWidth() / 2;
float y = canvas.getHeight() / 2;
/*
* Uncomment line below to allow rotation of display around the center point
* based on the roll. However, this "feature" is not very intuitive, and requires
* locking device orientation to portrait or changes the sensor rotation matrix
* on device rotation. It's really quite a nightmare.
*/
//canvas.rotate((0.0f - mRoll), x, y);
float dy = mPitch * mViewportHeight;
if (mNearbyPlaces != null) {
//Log.d("OverlayDisplayView", "mNearbyPlaces: "+mNearbyPlaces.size());
// Iterate backwards to draw more distant places first
for (int i = mNearbyPlaces.size() - 1; i >= 0; i--) {
NearbyPlace nearbyPlace = mNearbyPlaces.get(i);
float xDegreesToTarget = mAzimuth - nearbyPlace.getBearingToPlace();
float dx = mViewportWidth * xDegreesToTarget;
float iconX = x - dx;
float iconY = y - dy;
if (isOverlapping(iconX, iconX).isOverlapped()) {
PointF point = calculateNewXY(new PointF(iconX, iconY + mViewportHeight));
iconX = point.x;
iconY = point.y;
}
nearbyPlace.setIconX(iconX);
nearbyPlace.setIconY(iconY);
Bitmap icon = getIcon(nearbyPlace.getIcon_id());
float width = icon.getWidth() + mTextPaint.measureText(nearbyPlace.getName()) + mMargin;
RectF recf=new RectF(iconX, iconY, width, icon.getHeight());
nearbyPlace.setRect(recf);
float angleToTarget = xDegreesToTarget;
if (xDegreesToTarget < 0) {
angleToTarget = 360 + xDegreesToTarget;
}
if (angleToTarget >= 0 && angleToTarget < 90) {
nearbyPlace.setQuadrant(1);
mQuad1Places.add(nearbyPlace);
} else if (angleToTarget >= 90 && angleToTarget < 180) {
nearbyPlace.setQuadrant(2);
mQuad2Places.add(nearbyPlace);
} else if (angleToTarget >= 180 && angleToTarget < 270) {
nearbyPlace.setQuadrant(3);
mQuad3Places.add(nearbyPlace);
} else {
nearbyPlace.setQuadrant(4);
mQuad4Places.add(nearbyPlace);
}
//Log.d("TAG", " - X: " + iconX + " y: " + iconY + " angle: " + angleToTarget + " display: " + nearbyPlace.getIcon_id());
}
drawQuadrant(mQuad1Places, canvas);
drawQuadrant(mQuad2Places, canvas);
drawQuadrant(mQuad3Places, canvas);
drawQuadrant(mQuad4Places, canvas);
}
}
It doesnot contain full code, but you may understand how pitch and azimuth with roll is used.. Best of luck

Android Linear Acceleration: negative values

I am programming an accelerometre in order to measure a distance. I already read that integrating twice the acceleration, the error is very consequent but I don't care about that, I have enough precision for what I want to do.
The problem is that my position in x axis is always negative and I don't know where it comes from because I move my phone in all directions and I still have negative values.
This is my code that I picked and arranged from internet:
#Override
public void onSensorChanged(SensorEvent event){
if(last_values != null){
float dt = (event.timestamp - last_timestamp) * NS2S;
acceleration[0]= event.values[0];
acceleration[1]= event.values[1];
acceleration[2]= event.values[2];
for(int index = 0 ; index < 3 ; ++index){
velocity[index] += (acceleration[index] + last_values[index])/2 * dt;
position[index] += velocity[index] * dt;
}
}
else{
last_values = new float[3];
acceleration = new float[3];
velocity = new float[3];
position = new float[3];
velocity[0] = velocity[1] = velocity[2] = 0f;
position[0] = position[1] = position[2] = 0f;
}
xarr.add(position[0]);
yarr.add(position[1]);
zarr.add(position[2]);
tvX.setText(String.valueOf(position[0]));
tvY.setText(String.valueOf(position[1]));
tvZ.setText(String.valueOf(position[2]));
last_timestamp = event.timestamp;
}
And this are a few X axis values:
X axis
-0,001147982
-0,003418462
-0,006807898
-0,011325749
-0,01697435
-0,023762027
-0,031681452
-0,04072018
-0,050905682
-0,062279336
-0,07478787
-0,088445522
-0,103226766
-0,119143963
-0,136174649
-0,154338345
-0,17362912
-0,19407627
-0,215692967
Please help.

Android AR orientation

I'm making program for showing objects from map on camera and this works almost well except few degrees to left and right from vertical orientation (like in 80-110 and 260-280 degrees). In other +-320 degrees it works well. I've tried to use TYPE_ROTATION_VECTOR and accelerometer with magnetometer and they have the same result. Does anybody know any solution?
with TYPE_ROTATION_VECTOR:
if (event.sensor.getType() == Sensor.TYPE_ROTATION_VECTOR)
{
float[] roationV = new float[16];
SensorManager.getRotationMatrixFromVector(roationV, event.values);
float[] orientationValuesV = new float[3];
SensorManager.getOrientation(roationV, orientationValuesV);
tvHeading.setText(String.format(
"Coordinates: lat = %1$.2f, lon = %2$.2f, time = %3$.2f",
orientationValuesV[0], orientationValuesV[1], orientationValuesV[2]));
float[] rotationMatrix=new float[16];
mSensorManager.getRotationMatrixFromVector(rotationMatrix, event.values);
float[] orientationValues = new float[3];
SensorManager.getOrientation(rotationMatrix, orientationValues);
double azimuth = Math.toDegrees(orientationValues[0]);
double pitch = Math.toDegrees(orientationValues[1]);
double roll = Math.toDegrees(orientationValues[2]);
tvOrientation.setText(String.format(
"Coordinates: lat = %1$.2f, lon = %2$.2f, time = %3$.2f",
azimuth,pitch,roll));
}
with accelerometer+magnetometer
if (event.sensor == mAccelerometer) {
System.arraycopy(event.values, 0, mLastAccelerometer, 0, event.values.length);
mLastAccelerometer = meanFilterAccelSmoothing
.addSamples(mLastAccelerometer);
mLastAccelerometer = medianFilterAccelSmoothing
.addSamples(mLastAccelerometer);
for (int i = 0; i < mLastAccelerometer.length; i++) {
mLastAccelerometer[i] = (float) Math.floor(mLastAccelerometer[i] * 1000) / 1000;
}
mLastAccelerometerSet = true;
}
if (event.sensor == mMagnetometer) {
System.arraycopy(event.values, 0, mLastMagnetometer, 0, event.values.length);
mLastMagnetometer = meanFilterMagneticSmoothing.addSamples(mLastMagnetometer);
mLastMagnetometer = medianFilterMagneticSmoothing.addSamples(mLastMagnetometer);
for (int i = 0; i < mLastMagnetometer.length; i++) {
mLastMagnetometer[i] = (float) Math.floor(mLastMagnetometer[i] * 1000) / 1000;
}
mLastMagnetometerSet = true;
}
if (mLastAccelerometerSet && mLastMagnetometerSet) {
SensorManager.getRotationMatrix(mR, null, mLastAccelerometer, mLastMagnetometer);
SensorManager.getOrientation(mR, mOrientation);
if (angeles.size() > 0) {
for (int i = 0; i < mapObjects.size(); i++) {
compassFunc(i, mOrientation[0], mOrientation[1], mOrientation[2]);
}
}
private void compassFunc(int number, float... values) {
double angularXSpeed = Math.floor(values[0] * 180 / Math.PI * 100) / 100;
double angularYSpeed = Math.floor(values[1] * 180 / Math.PI * 100) / 100;
double angularZSpeed = Math.floor(values[2] * 180 / Math.PI * 100) / 100;
tvOrientation.setText(String.format(
"Screen: lt= %1$.2f : %2$.2f,rt= %3$.2f : %4$.2f,lb= %5$.2f : %6$.2f,rb= %7$.2f : %8$.2f",
xLeftTop, yLeftTop, xRightTop,yRightTop,xLeftBottom,yLeftBottom,xRightBottom,yRightBottom));
}

This sounds like a typical case of Gimbal Lock. Your description of how rotation around one axis acts up when another reaches +-90 degrees suggests that this is indeed the case.
This is a fundamental problem with Euler angles (Yaw/Azimuth, Pitch, Roll), which is why most such computations are done using rotation matrices or quaternions, and Euler angles most often only are used when a particular orientation is to be displayed to a human (humans are generally bad at interpreting rotation matrices and quaternions).
The ROTATION_VECTOR sensor outputs it's data in a quaternion format (source), albeit with rearranged values, and the getRotationMatrixFromVector() method turns this into a rotation matrix. I would suggest using one of these descriptions for your internal calculations.
The answers to this similar question provide some concrete suggestions on how to solve the issue.

Showing trajectory indicator

From the image you can see that the ball fired on the left that fire behind it, does not match the calculated trajectory. Im drawing the ball trajectory using an equation from a SO question, this is modified to take into consideration the box2d steps of 30 frames per second. This does calculate a valid trajectory but it does not match the actual trajectory of the ball, the ball has a smaller trajectory. I am applying a box2d force to the ball, this also has a density set and a shape. The shape radius varies depending on the type of ball. Im setting the start velocity in the touchdown event.
public class ProjectileEquation {
public float gravity;
public Vector2 startVelocity = new Vector2();
public Vector2 startPoint = new Vector2();
public Vector2 gravityVec = new Vector2(0,-10f);
public float getX(float n) {
return startVelocity.x * (n * 1/30f) + startPoint.x;
}
public float getY(float n) {
float t = 1/30f * n;
return 0.5f * gravity * t * t + startVelocity.y * t + startPoint.y;
}
}
#Override
public void draw(SpriteBatch batch, float parentAlpha) {
float t = 0f;
float width = this.getWidth();
float height = this.getHeight();
float timeSeparation = this.timeSeparation;
for (int i = 0; i < trajectoryPointCount; i+=timeSeparation) {
//projectileEquation.getTrajectoryPoint(this.getX(), this.getY(), i);
float x = this.getX() + projectileEquation.getX(i);
float y = this.getY() + projectileEquation.getY(i);
batch.setColor(this.getColor());
if(trajectorySprite != null) batch.draw(trajectorySprite, x, y, width, height);
// t += timeSeparation;
}
}
public boolean touchDown (InputEvent event, float x, float y, int pointer, int button) {
if(button==1 || world.showingDialog)return false;
touchPos.set(x, y);
float angle = touchPos.sub(playerCannon.position).angle();
if(angle > 270 ) {
angle = 0;
}
else if(angle >70) {
angle = 70;
}
playerCannon.setAngle(angle);
world.trajPath.controller.angle = angle;
float radians = (float) angle * MathUtils.degreesToRadians;
float ballSpeed = touchPos.sub(playerCannon.position).len()*12;
world.trajPath.projectileEquation.startVelocity.x = (float) (Math.cos(radians) * ballSpeed);
world.trajPath.projectileEquation.startVelocity.y = (float) (Math.sin(radians) * ballSpeed);
return true;
}
public CannonBall(float x, float y, float width, float height, float damage, World world, Cannon cannonOwner) {
super(x, y, width, height, damage, world);
active = false;
shape = new CircleShape();
shape.setRadius(width/2);
FixtureDef fd = new FixtureDef();
fd.shape = shape;
fd.density = 4.5f;
if(cannonOwner.isEnemy) { //Enemy cannon balls cannot hit other enemy cannons just the player
fd.filter.groupIndex = -16;
}
bodyDef.type = BodyType.DynamicBody;
bodyDef.position.set(this.position);
body = world.createBody(bodyDef);
body.createFixture(fd);
body.setUserData(this);
body.setBullet(true);
this.cannonOwner = cannonOwner;
this.hitByBall = null;
this.particleEffect = null;
}
private CannonBall createCannonBall(float radians, float ballSpeed, float radius, float damage)
{
CannonBall cannonBall = new CannonBall(CannonEnd().x, CannonEnd().y, radius * ballSizeMultiplier, radius * ballSizeMultiplier, damage, this.world, this);
cannonBall.velocity.x = (float) (Math.cos(radians) * ballSpeed);
//cannonBall.velocity.x = (float) ((Math.sqrt(10) * Math.sqrt(29) *
// Math.sqrt((Math.tan(cannon.angle)*Math.tan(cannon.angle))+1)) / Math.sqrt(2 * Math.tan(cannon.angle) - (2 * 10 * 2)/29))* -1f;
cannonBall.velocity.y = (float) (Math.sin(radians) * ballSpeed);
cannonBall.active = true;
//cannonBall.body.applyLinearImpulse(cannonBall.velocity, cannonBall.position);
cannonBall.body.applyForce(cannonBall.velocity, cannonBall.position );
return cannonBall;
}
trajPath = new TrajectoryActor(-10f);
trajPath.setX(playerCannon.CannonEnd().x);
trajPath.setY(playerCannon.CannonEnd().y);
trajPath.setWidth(10f);
trajPath.setHeight(10f);
stage.addActor(trajPath);

Here is a code that I used for one of my other games, which proved to be very precise. The trick is to apply the impulse on the body and read the initial velocity. Having that I calculate 10 positions where the body will be within 0.5 seconds. The language is called Squirrel which is Lua based with C/C++ like syntax. You should be able to grasp what is going on there. What returns from the getTrajectoryPointsForObjectAtImpulse is an array of 10 positions through which the ball will pass within 0.5 seconds.
const TIMESTER_DIVIDOR = 60.0;
function getTrajectoryPoint( startingPosition, startingVelocity, n )
{
local gravity = box2DWorld.GetGravity();
local t = 1 / 60.0;
local stepVelocity = b2Vec2.Create( t * startingVelocity.x, t * startingVelocity.y );
local stepGravity = b2Vec2.Create( t * t * gravity.x, t * t * gravity.y );
local result = b2Vec2.Create( 0, 0 );
result.x = ( startingPosition.x + n * stepVelocity.x + 0.5 * ( n * n + n ) * stepGravity.x ) * MTP;
result.y = ( startingPosition.y + n * stepVelocity.y + 0.5 * ( n * n + n ) * stepGravity.y ) * -MTP;
return result;
}
function getTrajectoryPointsForObjectAtImpulse (object, impulse)
{
if( !object || !impulse ) return [];
local result = [];
object.bBody.ApplyLinearImpulse( impulse, object.bBody.GetWorldCenter() );
local initialVelocity = object.bBody.GetLinearVelocity();
object.bBody.SetLinearVelocity( b2Vec2.Create(0, 0) );
object.bBody.SetActive(false);
for ( local i = 0.0 ; i < ( 0.5 * TIMESTER_DIVIDOR ) ; )
{
result.append( getTrajectoryPoint(object.bBody.GetPosition(), initialVelocity, i.tointeger() ) );
i += ( (0.5 * TIMESTER_DIVIDOR) * 0.1 );
}
return result;
}
If you do not understand any part of the code, please let me know and I will try to explain.

Gyroscope Issues with Device Orientation

I'm getting pitch and roll data from my device's gyroscope using this tutorial: http://www.thousand-thoughts.com/2012/03/android-sensor-fusion-tutorial/
All the readings are extremely accurate (there's a filter applied to the code in the tutorial to eliminate gyro drift). Unfortunately, the code only works when my device is placed flat on a surface that is parallel to the ground. The most ideal position for my app to work would be with the top of the device pointing straight up (ie, the device is perpendicular to the ground with the screen facing the user). Whenever I orient my device in this position, the pitch values go to +90 degrees (as expected). What I would like to do is set this position as the 0 degree point (or initial position) for my device so that the pitch readings are 0 degrees when my device is oriented upright (in portrait mode) with the screen facing the user.
I asked the author of the tutorial with help on this issue and he responded:
"If you want to have the upright position as the initial one, you will have to rotate your frame of reference accordingly. The simplest way would be to rotate the resulting rotation matrix by -90 degrees about the x-axis. But you have to be careful about at which point in the algorithm to apply this rotation. Always remember that rotations are not commutative operations. To be more specific on this, I would have to review the code again, since I haven’t worked with it for a while now."
I'm really really confused and stumped as to how to rotate my frame of reference. I guess the bottom line is that I have no idea how to rotate the matrix by -90 degrees about the x-axis. If someone could help me out with this part, it would be fantastic. Here's my code in case anyone would like to refer to it:
public class AttitudeDisplayIndicator extends SherlockActivity implements SensorEventListener {
private SensorManager mSensorManager = null;
// angular speeds from gyro
private float[] gyro = new float[3];
// rotation matrix from gyro data
private float[] gyroMatrix = new float[9];
// orientation angles from gyro matrix
private float[] gyroOrientation = new float[3];
// magnetic field vector
private float[] magnet = new float[3];
// accelerometer vector
private float[] accel = new float[3];
// orientation angles from accel and magnet
private float[] accMagOrientation = new float[3];
// final orientation angles from sensor fusion
private float[] fusedOrientation = new float[3];
// accelerometer and magnetometer based rotation matrix
private float[] rotationMatrix = new float[9];
public static final float EPSILON = 0.000000001f;
private static final float NS2S = 1.0f / 1000000000.0f;
private float timestamp;
private boolean initState = true;
public static final int TIME_CONSTANT = 30;
public static final float FILTER_COEFFICIENT = 0.98f;
private Timer fuseTimer = new Timer();
// The following members are only for displaying the sensor output.
public Handler mHandler;
DecimalFormat d = new DecimalFormat("#.##");
//ADI background image.
private ImageView adiBackground;
//ADI axes.
private ImageView adiAxes;
//ADI frame.
private ImageView adiFrame;
//Layout.
private RelativeLayout layout;
//Pitch and Roll TextViews.
private TextView pitchAngleText;
private TextView bankAngleText;
//Instantaneous output values from sensors as the device moves.
public static double pitch;
public static double roll;
//Matrix for rotating the ADI (roll).
Matrix mMatrix = new Matrix();
#Override
public void onCreate(Bundle savedInstanceState) {
super.onCreate(savedInstanceState);
setContentView(R.layout.activity_attitude_display_indicator);
gyroOrientation[0] = 0.0f;
gyroOrientation[1] = 0.0f;
gyroOrientation[2] = 0.0f;
// initialise gyroMatrix with identity matrix
gyroMatrix[0] = 1.0f; gyroMatrix[1] = 0.0f; gyroMatrix[2] = 0.0f;
gyroMatrix[3] = 0.0f; gyroMatrix[4] = 1.0f; gyroMatrix[5] = 0.0f;
gyroMatrix[6] = 0.0f; gyroMatrix[7] = 0.0f; gyroMatrix[8] = 1.0f;
// get sensorManager and initialise sensor listeners
mSensorManager = (SensorManager) this.getSystemService(SENSOR_SERVICE);
initListeners();
// wait for one second until gyroscope and magnetometer/accelerometer
// data is initialised then scedule the complementary filter task
fuseTimer.scheduleAtFixedRate(new calculateFusedOrientationTask(),
1000, TIME_CONSTANT);
mHandler = new Handler();
adiBackground = (ImageView) findViewById(R.id.adi_background);
adiFrame = (ImageView) findViewById(R.id.adi_frame);
adiAxes = (ImageView) findViewById(R.id.adi_axes);
layout = (RelativeLayout) findViewById(R.id.adi_layout);
new Color();
layout.setBackgroundColor(Color.rgb(150, 150, 150));
pitchAngleText = (TextView) findViewById(R.id.pitch_angle_text);
bankAngleText = (TextView) findViewById(R.id.bank_angle_text);
}
// This function registers sensor listeners for the accelerometer, magnetometer and gyroscope.
public void initListeners(){
mSensorManager.registerListener(this,
mSensorManager.getDefaultSensor(Sensor.TYPE_ACCELEROMETER),
SensorManager.SENSOR_DELAY_FASTEST);
mSensorManager.registerListener(this,
mSensorManager.getDefaultSensor(Sensor.TYPE_GYROSCOPE),
SensorManager.SENSOR_DELAY_FASTEST);
mSensorManager.registerListener(this,
mSensorManager.getDefaultSensor(Sensor.TYPE_MAGNETIC_FIELD),
SensorManager.SENSOR_DELAY_FASTEST);
}
//#Override
public void onAccuracyChanged(Sensor sensor, int accuracy) {
}
//#Override
public void onSensorChanged(SensorEvent event) {
switch(event.sensor.getType()) {
case Sensor.TYPE_ACCELEROMETER:
// copy new accelerometer data into accel array and calculate orientation
System.arraycopy(event.values, 0, accel, 0, 3);
calculateAccMagOrientation();
break;
case Sensor.TYPE_GYROSCOPE:
// process gyro data
gyroFunction(event);
break;
case Sensor.TYPE_MAGNETIC_FIELD:
// copy new magnetometer data into magnet array
System.arraycopy(event.values, 0, magnet, 0, 3);
break;
}
}
// calculates orientation angles from accelerometer and magnetometer output
public void calculateAccMagOrientation() {
if(SensorManager.getRotationMatrix(rotationMatrix, null, accel, magnet)) {
SensorManager.getOrientation(rotationMatrix, accMagOrientation);
}
}
// This function is borrowed from the Android reference
// at http://developer.android.com/reference/android/hardware/SensorEvent.html#values
// It calculates a rotation vector from the gyroscope angular speed values.
private void getRotationVectorFromGyro(float[] gyroValues,
float[] deltaRotationVector,
float timeFactor)
{
float[] normValues = new float[3];
// Calculate the angular speed of the sample
float omegaMagnitude =
(float)Math.sqrt(gyroValues[0] * gyroValues[0] +
gyroValues[1] * gyroValues[1] +
gyroValues[2] * gyroValues[2]);
// Normalize the rotation vector if it's big enough to get the axis
if(omegaMagnitude > EPSILON) {
normValues[0] = gyroValues[0] / omegaMagnitude;
normValues[1] = gyroValues[1] / omegaMagnitude;
normValues[2] = gyroValues[2] / 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 * timeFactor;
float sinThetaOverTwo = (float)Math.sin(thetaOverTwo);
float cosThetaOverTwo = (float)Math.cos(thetaOverTwo);
deltaRotationVector[0] = sinThetaOverTwo * normValues[0];
deltaRotationVector[1] = sinThetaOverTwo * normValues[1];
deltaRotationVector[2] = sinThetaOverTwo * normValues[2];
deltaRotationVector[3] = cosThetaOverTwo;
}
// This function performs the integration of the gyroscope data.
// It writes the gyroscope based orientation into gyroOrientation.
public void gyroFunction(SensorEvent event) {
// don't start until first accelerometer/magnetometer orientation has been acquired
if (accMagOrientation == null)
return;
// initialisation of the gyroscope based rotation matrix
if(initState) {
float[] initMatrix = new float[9];
initMatrix = getRotationMatrixFromOrientation(accMagOrientation);
float[] test = new float[3];
SensorManager.getOrientation(initMatrix, test);
gyroMatrix = matrixMultiplication(gyroMatrix, initMatrix);
initState = false;
}
// copy the new gyro values into the gyro array
// convert the raw gyro data into a rotation vector
float[] deltaVector = new float[4];
if(timestamp != 0) {
final float dT = (event.timestamp - timestamp) * NS2S;
System.arraycopy(event.values, 0, gyro, 0, 3);
getRotationVectorFromGyro(gyro, deltaVector, dT / 2.0f);
}
// measurement done, save current time for next interval
timestamp = event.timestamp;
// convert rotation vector into rotation matrix
float[] deltaMatrix = new float[9];
SensorManager.getRotationMatrixFromVector(deltaMatrix, deltaVector);
// apply the new rotation interval on the gyroscope based rotation matrix
gyroMatrix = matrixMultiplication(gyroMatrix, deltaMatrix);
// get the gyroscope based orientation from the rotation matrix
SensorManager.getOrientation(gyroMatrix, gyroOrientation);
}
private float[] getRotationMatrixFromOrientation(float[] o) {
float[] xM = new float[9];
float[] yM = new float[9];
float[] zM = new float[9];
float sinX = (float)Math.sin(o[1]);
float cosX = (float)Math.cos(o[1]);
float sinY = (float)Math.sin(o[2]);
float cosY = (float)Math.cos(o[2]);
float sinZ = (float)Math.sin(o[0]);
float cosZ = (float)Math.cos(o[0]);
// rotation about x-axis (pitch)
xM[0] = 1.0f; xM[1] = 0.0f; xM[2] = 0.0f;
xM[3] = 0.0f; xM[4] = cosX; xM[5] = sinX;
xM[6] = 0.0f; xM[7] = -sinX; xM[8] = cosX;
// rotation about y-axis (roll)
yM[0] = cosY; yM[1] = 0.0f; yM[2] = sinY;
yM[3] = 0.0f; yM[4] = 1.0f; yM[5] = 0.0f;
yM[6] = -sinY; yM[7] = 0.0f; yM[8] = cosY;
// rotation about z-axis (azimuth)
zM[0] = cosZ; zM[1] = sinZ; zM[2] = 0.0f;
zM[3] = -sinZ; zM[4] = cosZ; zM[5] = 0.0f;
zM[6] = 0.0f; zM[7] = 0.0f; zM[8] = 1.0f;
// rotation order is y, x, z (roll, pitch, azimuth)
float[] resultMatrix = matrixMultiplication(xM, yM);
resultMatrix = matrixMultiplication(zM, resultMatrix);
return resultMatrix;
}
private float[] matrixMultiplication(float[] A, float[] B) {
float[] result = new float[9];
result[0] = A[0] * B[0] + A[1] * B[3] + A[2] * B[6];
result[1] = A[0] * B[1] + A[1] * B[4] + A[2] * B[7];
result[2] = A[0] * B[2] + A[1] * B[5] + A[2] * B[8];
result[3] = A[3] * B[0] + A[4] * B[3] + A[5] * B[6];
result[4] = A[3] * B[1] + A[4] * B[4] + A[5] * B[7];
result[5] = A[3] * B[2] + A[4] * B[5] + A[5] * B[8];
result[6] = A[6] * B[0] + A[7] * B[3] + A[8] * B[6];
result[7] = A[6] * B[1] + A[7] * B[4] + A[8] * B[7];
result[8] = A[6] * B[2] + A[7] * B[5] + A[8] * B[8];
return result;
}
class calculateFusedOrientationTask extends TimerTask {
public void run() {
float oneMinusCoeff = 1.0f - FILTER_COEFFICIENT;
/*
* Fix for 179° <--> -179° transition problem:
* Check whether one of the two orientation angles (gyro or accMag) is negative while the other one is positive.
* If so, add 360° (2 * math.PI) to the negative value, perform the sensor fusion, and remove the 360° from the result
* if it is greater than 180°. This stabilizes the output in positive-to-negative-transition cases.
*/
// azimuth
if (gyroOrientation[0] < -0.5 * Math.PI && accMagOrientation[0] > 0.0) {
fusedOrientation[0] = (float) (FILTER_COEFFICIENT * (gyroOrientation[0] + 2.0 * Math.PI) + oneMinusCoeff * accMagOrientation[0]);
fusedOrientation[0] -= (fusedOrientation[0] > Math.PI) ? 2.0 * Math.PI : 0;
}
else if (accMagOrientation[0] < -0.5 * Math.PI && gyroOrientation[0] > 0.0) {
fusedOrientation[0] = (float) (FILTER_COEFFICIENT * gyroOrientation[0] + oneMinusCoeff * (accMagOrientation[0] + 2.0 * Math.PI));
fusedOrientation[0] -= (fusedOrientation[0] > Math.PI)? 2.0 * Math.PI : 0;
}
else {
fusedOrientation[0] = FILTER_COEFFICIENT * gyroOrientation[0] + oneMinusCoeff * accMagOrientation[0];
}
// pitch
if (gyroOrientation[1] < -0.5 * Math.PI && accMagOrientation[1] > 0.0) {
fusedOrientation[1] = (float) (FILTER_COEFFICIENT * (gyroOrientation[1] + 2.0 * Math.PI) + oneMinusCoeff * accMagOrientation[1]);
fusedOrientation[1] -= (fusedOrientation[1] > Math.PI) ? 2.0 * Math.PI : 0;
}
else if (accMagOrientation[1] < -0.5 * Math.PI && gyroOrientation[1] > 0.0) {
fusedOrientation[1] = (float) (FILTER_COEFFICIENT * gyroOrientation[1] + oneMinusCoeff * (accMagOrientation[1] + 2.0 * Math.PI));
fusedOrientation[1] -= (fusedOrientation[1] > Math.PI)? 2.0 * Math.PI : 0;
}
else {
fusedOrientation[1] = FILTER_COEFFICIENT * gyroOrientation[1] + oneMinusCoeff * accMagOrientation[1];
}
// roll
if (gyroOrientation[2] < -0.5 * Math.PI && accMagOrientation[2] > 0.0) {
fusedOrientation[2] = (float) (FILTER_COEFFICIENT * (gyroOrientation[2] + 2.0 * Math.PI) + oneMinusCoeff * accMagOrientation[2]);
fusedOrientation[2] -= (fusedOrientation[2] > Math.PI) ? 2.0 * Math.PI : 0;
}
else if (accMagOrientation[2] < -0.5 * Math.PI && gyroOrientation[2] > 0.0) {
fusedOrientation[2] = (float) (FILTER_COEFFICIENT * gyroOrientation[2] + oneMinusCoeff * (accMagOrientation[2] + 2.0 * Math.PI));
fusedOrientation[2] -= (fusedOrientation[2] > Math.PI)? 2.0 * Math.PI : 0;
}
else {
fusedOrientation[2] = FILTER_COEFFICIENT * gyroOrientation[2] + oneMinusCoeff * accMagOrientation[2];
}
// overwrite gyro matrix and orientation with fused orientation
// to comensate gyro drift
gyroMatrix = getRotationMatrixFromOrientation(fusedOrientation);
System.arraycopy(fusedOrientation, 0, gyroOrientation, 0, 3);
// update sensor output in GUI
mHandler.post(updateOrientationDisplayTask);
}
}
Thanks in advance for your help!

The theory...
I'm not really sure about the format in which your "frame of reference" matrix is represented, but typically rotations are done with matrix multiplication.
Basically, you would take your "frame of reference matrix" and multiply it by a 90 degrees rotation matrix.
Such a matrix can be found on Wikipedia:
Three-dimensional rotation matrices
Since your angle is 90 degrees, your sines and cosines would resolve to 1's or 0's which you can plug directly into the matrix instead of computing the sines and cosines. For example, a matrix that would rotate 90 degrees counter-clockwise about the x axis would look like this:
1 0 0
0 0 1
0 -1 0
Also, please not that matrices like these operate on row vectors of x y z coordinates.
So for example, if you have a point in space that is at (2,5,7) and you would like to rotate it using the above matrix, you would have to do the following operation:
|2 5 7| |1 0 0|
|0 0 1|
|0 -1 0|
Which gives [2 -7 5]
...applied to your code
I have glanced quickly at your code and it seems like the modification you need to make involves the output of calculateAccMagOrientation() because it is used to initialize the orientation of the device.
1: public void calculateAccMagOrientation() {
2: if(SensorManager.getRotationMatrix(rotationMatrix, null, accel, magnet)) {
3: SensorManager.getOrientation(rotationMatrix, accMagOrientation);
4: }
5: }
At line 2 in the above snippet is where you get your initial rotationMatrix. Try multiplying rotationMatrix by a hand crafted 90 degrees rotation matrix before calling getOrientation at line 3. I think this will effectively re-align your reference orientation:
public void calculateAccMagOrientation() {
if(SensorManager.getRotationMatrix(rotationMatrix, null, accel, magnet)) {
rotationMatrix = matrixMultiplication(rotationMatrix, my90DegRotationMatrix);
SensorManager.getOrientation(rotationMatrix, accMagOrientation);
}
}
Please note that depending on how the angles work in Android, you might need to use a 90 degrees clockwise rotation matrix instead of a counter-clockwise.
Alternative solution
It just occurred to me, maybe you could also simply subtract 90 from the final pitch result before displaying it?