C++ equivalent of algebraic datatype?

Question

Let's say I have this Haskell code:

data RigidBody = RigidBody Vector3 Vector3 Float Shape -- position, velocity, mass and shape
data Shape = Ball Float -- radius
           | ConvexPolygon [Triangle]

What would be the best way to express this in C++?

struct Rigid_body {
    glm::vec3 position;
    glm::vec3 velocity;
    float mass;
    *???* shape;
};

The thing I'm asking is how to represent shape inside the struct when it can be one of two types.

Answer 1

There are different approaches that can be used to solve that problem in C++.

The pure-OO approach you would define an interface Shape and have the two different options as derived types implementing that interface. Then the RigidBody would contain a pointer to a Shape that would be set to refer to either a Ball or a ConvexPolygon. Pro: people love OO (not sure this is a pro really :)), it is easily extensible (you can add more shapes later on without changing the type). Con: You should define a proper interface for Shape, it requires dynamic allocation of memory.

Putting OO aside, you can use a boost::variant or similar type, that is basically a tagged union that will hold one of the types. Pro: no dynamic allocations, shape is local to the object. Con: not pure-OO (people love OO, you remember right?), not so easy to extend, cannot use the shape generically