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swiftmathrotationcgpointdegrees

Rotating a CGPoint around another CGPoint


Okay so I want to rotate CGPoint(A) 50 degrees around CGPoint(B) is there a good way to do that?

CGPoint(A) = CGPoint(x: 50, y: 100)

CGPoint(B) = CGPoint(x: 50, y: 0)

Here's what I want to do:

Illustration


Solution

  • This is really a maths question. In Swift, you want something like:

    func rotatePoint(target: CGPoint, aroundOrigin origin: CGPoint, byDegrees: CGFloat) -> CGPoint {
        let dx = target.x - origin.x
        let dy = target.y - origin.y
        let radius = sqrt(dx * dx + dy * dy)
        let azimuth = atan2(dy, dx) // in radians
        let newAzimuth = azimuth + byDegrees * CGFloat(M_PI / 180.0) // convert it to radians
        let x = origin.x + radius * cos(newAzimuth)
        let y = origin.y + radius * sin(newAzimuth)
        return CGPoint(x: x, y: y)
    }
    

    There are lots of ways to simplify this, and it's a perfect case for an extension to CGPoint, but I've left it verbose for clarity.