Converting between NSBezierPath and CGPath

The macOS SDK ships with at least two graphics path types: NSBezierPath and CGPath. They are mostly used in different contexts but sometimes it would be useful to convert between them. On iOS UIBezierPath has tools for the conversion, but on macOS we have to do it manually.

Here are the two conversions, based on Stack Overflow answers (NSBezierPath to CGPath, CGPath to NSBezierPath), converted to Swift 5.5 and tested on macOS 11.4.

extension NSBezierPath {
    var cgPath: CGPath {
        let path = CGMutablePath()
        var points = [CGPoint](repeating: .zero, count: 3)
        for i in 0 ..< self.elementCount {
            let type = self.element(at: i, associatedPoints: &points)
            switch type {
            case .moveTo: path.move(to: points[0])
            case .lineTo: path.addLine(to: points[0])
            case .curveTo: path.addCurve(to: points[2], control1: points[0], control2: points[1])
            case .closePath: path.closeSubpath()
            @unknown default: fatalError("Unknown element \(type)")
        return path

    convenience init(cgPath: CGPath) {
        cgPath.applyWithBlock { (elementPointer: UnsafePointer<CGPathElement>) in
            let element = elementPointer.pointee
            let points = element.points
            switch element.type {
            case .moveToPoint:
                self.move(to: points.pointee)
            case .addLineToPoint:
                self.line(to: points.pointee)
            case .addQuadCurveToPoint:
                let qp0 = self.currentPoint
                let qp1 = points.pointee
                let qp2 = points.successor().pointee
                let m = 2.0/3.0
                let cp1 = NSPoint(
                    x: qp0.x + ((qp1.x - qp0.x) * m),
                    y: qp0.y + ((qp1.y - qp0.y) * m)
                let cp2 = NSPoint(
                    x: qp2.x + ((qp1.x - qp2.x) * m),
                    y: qp2.y + ((qp1.y - qp2.y) * m)
                self.curve(to: qp2, controlPoint1: cp1, controlPoint2: cp2)
            case .addCurveToPoint:
                let cp1 = points.pointee
                let cp2 = points.advanced(by: 1).pointee
                let target = points.advanced(by: 2).pointee
                self.curve(to: target, controlPoint1: cp1, controlPoint2: cp2)
            case .closeSubpath:
            @unknown default:
                fatalError("Unknown type \(element.type)")

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