Most programming languages have a built-in implementation of exponentiation.



Task

Re-implement integer exponentiation for both   intint   and   floatint   as both a procedure,   and an operator (if your language supports operator definition).

If the language supports operator (or procedure) overloading, then an overloaded form should be provided for both   intint   and   floatint   variants.



Related tasks

   Exponentiation order
   arbitrary-precision integers (included)
   Exponentiation with infix operators in (or operating on) the base


MULTIPLY = lambda x, y: x*y
 
class num(float):
    # the following method has complexity O(b)
    # rather than O(log b) via the rapid exponentiation
    def __pow__(self, b):
        return reduce(MULTIPLY, [self]*b, 1)
 
# works with ints as function or operator
print num(2).__pow__(3)
print num(2) ** 3
 
# works with floats as function or operator
print num(2.3).__pow__(8)
print num(2.3) ** 8