Calculate angle for rotation in Pie Chart

Question

I want to rotate the image around its center point.The problem i am facing is i need to get the angle to calculate in touch moved event (i dont want to use multi touch).I am cur

Answer 1

I did struggle a bit with how to get a touch driven rotation, even more so because I want 100% understanding of the code I am using. So I ended up, after many failed attempts, with this:

- (CGFloat) pointToAngleFromCenter: (CGPoint) point {
    // transform point to a self.center'ed origin based coordinate system
    point.x = point.x - self.center.x ;
    // ditto for y, but compensate for y going downwards to y going upwards
    point.y = self.center.y - point.y ;
    return ::atan2(point.y, point.x) ;
}

If anyone has a better name for this method, I'm all ears.

What it does is that it takes a point in parent view coordinates, remaps it relative to the center of the view (which is in parent view coordinate), and computes the angle between this remapped point and the axis [0X]. To do so, it normalizes y to the normal mathematical coordinates (y goes up when its value increases, not down), hence self.center.y - point.y and not the opposite.

Finally, in touchesMoved:

- (void) touchesMoved: (NSSet *) touches withEvent: (UIEvent *) event {
    UITouch * touch = [touches anyObject] ;

    CGFloat currA = [self pointToAngleFromCenter:[touch locationInView:self.superview]] ;
    CGFloat prevA = [self pointToAngleFromCenter:[touch previousLocationInView:self.superview]] ;
    // the current value of the rotation angle
    CGFloat tranA = ::atan2(self.transform.b, self.transform.a) ;
    // the angle difference between last touch and the current touch
    CGFloat diffA = currA - prevA ;
    // the new angle resulting from applying the difference
    CGFloat angle = tranA - diffA ;

    CGAffineTransform t = ::CGAffineTransformMakeRotation(angle) ;

    self.transform = t ;
    [self setNeedsDisplay] ;
}