I’m told that the template system in C++ is Turing-complete at compile time. This
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That was a little fun but not very practical.
To answer the second part of the question:
Is this fact useful in practice?
Short Answer: Sort of.
Long Answer: Yes, but only if you are a template daemon.
To turn out good programming using template meta-programming that is really useful for others to use (ie a library) is really really tough (though do-able). To Help boost even has MPL aka (Meta Programming Library). But try debugging a compiler error in your template code and you will be in for a long hard ride.
But a good practical example of it being used for something useful:
Scott Meyers has been working extensions to the C++ language (I use the term loosely) using the templating facilities. You can read about his work here ‘Enforcing Code Features‘