ClassTypeSelf.swift

import UIKit

func isExactClass<T>(obj: Any, _ _: T.Type) -> Bool{
    
    return type(of: obj) == T.self
}

class Dog {
    
}

class Wolf: Dog {
    
}

let dog = Dog()
let wolf = Wolf()

wolf.self === Dog.self //false
dog.self === Dog.self //false
type(of: dog) == Dog.self //true
type(of: wolf) == Dog.self //false

isExactClass(obj: dog, Dog.self) //true
isExactClass(obj: wolf, Dog.self) //false

var x: Any.Type
x = Dog.self
type(of: dog) == x // true
type(of: x)