Objects with Defined Behaviors
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To simulate specific object types coded in Rust with fields and methods. 
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Native Rust methods (not scripted) are pre-defined for these types. 
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Use an object map as the main container of the type. 
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Create function pointers binding to native Rust functions and store them as properties of the object map. 
Rhai does not have objects per se and is not object-oriented (in the traditional sense), but it is possible to simulate object-oriented programming via object maps.
When using object maps to simulate objects (See here for more details), a property that holds a function pointer can be called like a method function with the object map being the object of the method call.
It is also possible to create function pointers that bind to native Rust functions/closures so that those are called when the function pointers are called.
Implementation
A function pointer can be created that binds to a specific Rust function or closure.
(See here for details on using
FnPtr::from_fn and FnPtr::from_dyn_fn).
// This is the pre-defined behavior for the 'Awesome' object type.
fn my_awesome_fn(ctx: NativeCallContext, args: &mut[&mut Dynamic]) -> Result<Dynamic, Box<EvalAltResult>> {
    // Check number of arguments
    if args.len() != 2 {
        return Err("one argument is required, plus the object".into());
    }
    // Get call arguments
    let x = args[1].try_cast::<i64>().map_err(|_| "argument must be an integer".into())?;
    // Get mutable reference to the object map, which is passed as the first argument
    let map = &mut *args[0].as_map_mut().map_err(|_| "object must be a map".into())?;
    // Do something awesome here ...
    let result = ...
    Ok(result.into())
}
// Register a function to create a pre-defined object
engine.register_fn("create_awesome_object", || {
    // Use an object map as base
    let mut map = Map::new();
    // Create a function pointer that binds to 'my_awesome_fn'
    let fp = FnPtr::from_fn("awesome", my_awesome_fn)?;
    //                      ^ name of method
    //                                 ^ native function
    // Store the function pointer in the object map
    map.insert("awesome".into(), fp.into());
    Ok(Dynamic::from_map(map))
});The object map can then be used just like any object-oriented object.
let obj = create_awesome_object();
let result = obj.awesome(42);   // calls 'my_awesome_fn' with '42' as argument