Concepts are for compile-time polymorphism, That means parametric generic code. Interfaces are for run-time polymorphism.
You have to implement an interface as you implement a Concept. The difference is that you don't have to explicitly say that you are implementing a Concept. If the required interface is matched then no problems. In the case of interfaces, even if you implemented all the required functions, you have to excitability say that you are implementing it!
I will try to clarify my answer :)
Imagine that you are designing a container that accepts any type that has the size member function. We formalize the Concept and call it HasSize, of course we should define it elsewhere but this is an example no more.
template <class HasSize>
class Container
{
HasSize[10]; // just an example don't take it seriously :)
// elements MUST have size member function!
};
Then, Imagine we are creating an instance of our Container and we call it myShapes, Shape is a base class and it defines the size member function. Square and Circle are just children of it. If Shape didn't define size then an error should be produced.
Container<Shape> myShapes;
if(/* some condition*/)
myShapes.add(Square());
else
myShapes.add(Circle());
I hope you see that Shape can be checked against HasSize at compile time, there is no reason to do the checking at run-time. Unlike the elements of myShapes, we could define a function that manipulates them :
void doSomething(Shape* shape)
{
if(/* shape is a Circle*/)
// cast then do something with the circle.
else if( /* shape is a Square */)
// cast then do something with the square.
}
In this function, you can't know what will be passed till run-time a Circle or a Square!
They are two tools for a similar job, though Interface-or whatever you call them- can do almost the same job of Concepts at run-time but you lose all benefits of compile-time checking and optimization!
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