Tanimoto coefficient (aka extended Jaccard coefficient) of two real vectors.

tanimoto.rb

#!/usr/bin/ruby

class Array 
   def sum
      inject( 0 ) { |sum,x| sum+x }
   end
   def sum_square
      inject( 0 ) { |sum,x| sum+x*x }
   end
   def *(other) # dot_product
      ret = []
      return nil if !other.is_a? Array || size != other.size
      self.each_with_index {|x, i| ret << x * other[i]}
      ret.sum
   end
end

def tanimoto(a, b)
   dot = (a * b)
   den = a.sum_square + b.sum_square - dot
   dot.to_f/den.to_f
end