CGALKit is a Swift framework that integrates powerful computational geometry algorithms of the C++ library CGAL (Computational Geometry Algorithms Library) with Swift. The framework allows users to compute the convex hull and volume of a set of 3D points, using the implementation of CGAL.

Important: This framework uses Swift and C++ interoperability introduced by WWDC23.

• Volume Computation: Compute the volume of the convex hull formed by a set of 3D points.

To compute the convex hull and its volume using the CGALKit, you need to create a list of Point3 objects and pass it to the ConvexHull class.

import CGALKitSwift

// Define points
let points: [Point3] = [
    Point3(x: 0.0, y: 0.0, z: 0.0),
    Point3(x: 1.0, y: 0.0, z: 0.0),
    Point3(x: 0.0, y: 1.0, z: 0.0),
    Point3(x: 0.0, y: 0.0, z: 1.0)
]

// Create ConvexHull instance
let convexHull = ConvexHull(from: points)

// Compute volume of the convex hull
let volume = convexHull.volume()

print("Volume of the convex hull: \(volume)")