Angle of rotation from vertical axis
I am currently trying to create a meter that can be adjusted in the percentage of fill. The problem I have is I'm not good at math at all. I want to start drawing an arc in the 'north' (first image), as opposed to a normal arc having its 0 deg point in the 'east' (as shown in second image).
I want to be able to increase the blue area in image 1 in size (angle) by dragging/touching it along the screen. Now these are things I am able to do in some kind of fashion now. The real problem I am facing is this:
I use the following code to draw the blue area:
mStart = -90;
int degree = (int)((theta + Math.PI) * 180 / Math.PI);
mSweep = degree;
RectF mOvals = new RectF(c.x - outerRadius + circleThickness, c.y - outerRadius + circleThickness, c.x + outerRadius - circleThickness, c.y + outerRadius - circleThickness );
mArcSetLevel = new Path();
if(mArcSetLevel != null ) {
canvas.drawArc(mOvals, mStart, mSweep, true, arcPaint);
}
Setting the start at -90 makes it start 90 deg earlier. To track the angle of the touch I use this formula, but this is where it goes wrong:
int py = (int)event.getY() - c.y;
int px = (int)event.getX() - c.x;
theta = (float) ((float) Math.atan2(py, px) - (Math.PI / 2)); // - Math.PI / 2 to correct -90 start
When I go further than exactly 270 degrees the blue area gets reset and draws itself from north to west in a much smaller angle (because of the 'false' start of -90, shown in third image). My math skills are simply not good enough for me to be able to solve this, although I can think of why it is happening I cannot seem to find the solution.
The (very messy) code to the entire view I made is as follows:
private Canvas canvas;
//Canvas width and height
private int h = -1;
private int w = -1;
//circle properties
private Paint paint;
private Paint arcPaint;
private Path circle;
private Point c;
private int outerRadius;
private int circleThickness = 20;
//point click in wheel
private float theta = 0;
private float mStart;
private float mSweep;
private Paint mBgPaints = new Paint();
private Path mArcSetLevel;
int padding = 10;
OnMeterWheelChangeListener onMeterWheelChangeListener = null;
public MeterWheel(Context context){
super(context);
initCircleSeekBar();
}
public MeterWheel(Context context, AttributeSet attrs) {
super(context, attrs);
initCircleSeekBar();
}
private void initCircleSeekBar() {
canvas = new Canvas();
circle = new Path();
paint = new Paint();
arcPaint = new Paint();
c = new Point();
mBgPaints.setAntiAlias(true);
mBgPaints.setStyle(Paint.Style.FILL);
mBgPaints.setColor(0x88FF0000);
mBgPaints.setStrokeWidth(0.5f);
mArcSetLevel = new Path();
this.draw(canvas);
}
@Override
protected void onSizeChanged(int width, int height, int oldw, int oldh) {
// TODO Auto-generated method stub
super.onSizeChanged(width, height, oldw, oldh);
w = width;
h = height;
Log.i("POWERWHEEL", String.valueOf(w) + " " + String.valueOf(h));
c.set(w/2, h/2);
drawCircle();
}
private void drawCircle() {
outerRadius = Math.min(h,w)/2;
circleThickness = (int) (outerRadius*0.15);
circle.addArc(new RectF(c.x - outerRadius + circleThickness/2, c.y - outerRadius + circleThickness/2, c.x + outerRadius - circleThickness/2, c.y + outerRadius - circleThickness/2 ), 0, 360);
circle.moveTo(c.x, c.y);
//paint.setShader(new SweepGradient(w/2,h/2, colourarry, null));
paint.setColor(Color.GRAY);
paint.setStyle(Style.STROKE);
paint.setStrokeWidth(circleThickness);
paint.setAntiAlias(true);
arcPaint.setColor(Color.BLUE);
arcPaint.setStyle(Style.FILL);
arcPaint.setStrokeWidth(circleThickness);
arcPaint.setAntiAlias(true);
}
@SuppressLint("DrawAllocation")
@Override
protected void onDraw(Canvas canvas) {
// TODO Auto-generated method stub
super.onDraw(canvas);
if(circle != null){
//draw circle
canvas.drawPath(circle, paint);
mStart = -90;
int degree = (int)((theta + Math.PI) * 180 / Math.PI);
Log.d("POWERWHEEL", "" + degree);
mSweep = degree;
RectF mOvals = new RectF(c.x - outerRadius + circleThickness, c.y - outerRadius + circleThickness, c.x + outerRadius - circleThickness, c.y + outerRadius - circleThickness );
mArcSetLevel = new Path();
if(mArcSetLevel != null ) {
canvas.drawArc(mOvals, mStart, mSweep, true, arcPaint);
}
}
}
@Override
public boolean onTouchEvent(MotionEvent event) {
if (!isEnabled()) {
return false;
}
switch (event.getAction()) {
case MotionEvent.ACTION_DOWN:
setPressed(true);
onStartTrackingTouch(event);
trackTouchEvent(event);
break;
case MotionEvent.ACTION_MOVE:
trackTouchEvent(event);
break;
case MotionEvent.ACTION_UP:
trackTouchEvent(event);
onStopTrackingTouch();
setPressed(false);
invalidate();
break;
case MotionEvent.ACTION_CANCEL:
onStopTrackingTouch();
setPressed(false);
invalidate();
break;
}
return true;
}
@Override
protected void onMeasure(int widthMeasureSpec, int heightMeasureSpec) {
int width = MeasureSpec.getSize(widthMeasureSpec);
int height = MeasureSpec.getSize(heightMeasureSpec);
setMeasuredDimension(width,height);
}
private void onStartTrackingTouch(MotionEvent event) {
}
private void onStopTrackingTouch() {
}
private void trackTouchEvent(MotionEvent event) {
int py = (int)event.getY() - c.y;
int px = (int)event.getX() - c.x;
theta = (float) ((float) Math.atan2(py, px) - (Math.PI / 2));
Log.d("POWERWHEEL", "theta: " + theta);
this.invalidate();
}
public void setSize(int x, int y){
h = y;
w = x;
}
public void setCirleThickness(int t){
circleThickness = t;
}
public void setOnMeterWheelChangeListener (OnMeterWheelChangeListener listener) {
onMeterWheelChangeListener = listener;
}
public interface OnMeterWheelChangeListener{
public void onStartTrackingTouch (MeterWheel colourWheel);
public void onStopTrackingTouch (MeterWheel colourWheel);
}
Thanks a million in advance!
When calculating theta, you use atan2 which returns the angle in +/- pi. So when being in the upper left quadrant it will return a value in the range -pi/2 to -pi (asuming y is positive downwards and x is positve rightwards). You substract pi/2 directly with gives a range of -pi to -3pi/2. In onDraw you then add pi again (confusing) giving a range of 0 to -pi/2 of the sweep for this quadrant. This means it will paint the arc 0 to pi/2 (or 0 to 90 degrees) counterclockwise from your starting position at the top. You must make sure your sweep always keeps in the range 0 to pi. Nicest solution is to shift the coordinates by -pi/2, so that instead of Math.atan2(py, px), you do Math.atan2(px, -py) and then if theta is negative you add 2*pi. Something like (I don't write android)
theta = (float) Math.atan2(px, -py);
if (theta < 0) theta += 2 * Math.PI;
and then in onDraw
int degree = (int)(theta * 180 / Math.PI);
Log.d("POWERWHEEL", "" + degree);
mSweep = degree;
If you are still experiencing problems check that mSweep is always in the range 0 to 360 degrees.