Question

I have some code that calculates the nth root of a number. Right now, that method only works on Fixnum, because I defined it inside the Fixnum class. It would be very easy to just do

class Float
    #same code as was in Fixnum
end

but that seems unneccessary. I have no idea how to dynamically call classes. I tried:

classes = [Fixnum, Float]
classes.each do |x|
    x.instance_eval do
        def root(pow)
            return self ** (1/pow.to_f)
        end
    end
end

but that did not work. How do I do this?
Note: After posting, I realized this might be a better fit for Programmers.SE, as it is theoretical, as well as single-problem based. Feel free to migrate accordingly…

Answer 1

The relevant part of the class hierarchy looks like this:

• Numeric
  • Integer
    • Older versions had Fixnum and Bignum as subclasses of Integer.
  • Float
  • Rational

So patch your change into Numeric to cover them all at once:

class Numeric
  def root(pow)
    return self ** (1/pow.to_f)
  end
end

Then you can do these things:

>> 11.root(2) # Integer
=> 3.3166247903554
>> 2.18.root(3) # Float
=> 1.296638256974172
>> Rational(23, 42).root(6) # Rational
=> 0.9045094132598528
>> 2**1000.root(42) # Integer
=> 2.2638347236157763