Aside - a long time ago, I worked on a high school math problem which involved summing the thousand fractions 0/1, 1/2, 2/3,...upto 999/1000, so I did the obvious iteration.
(display (foldl + 0 (map (lambda (x) (/ x (+ x 1))) (range 0 1000))))
The solution matched and I was happy. Then I thought wouldn't it be neat to do this in a dozen languages and benchmark...but got nowhere with that idea. None of the languages supported fraction addition without jumping through whole bunch of hoops. I wonder if its still the same situation. If someone wants to give this a shot, the answer if you do this for the first ten is 17819/2520.
(display (foldl + 0 (map (lambda (x) (/ x (+ x 1))) (range 0 1000))))
The solution matched and I was happy. Then I thought wouldn't it be neat to do this in a dozen languages and benchmark...but got nowhere with that idea. None of the languages supported fraction addition without jumping through whole bunch of hoops. I wonder if its still the same situation. If someone wants to give this a shot, the answer if you do this for the first ten is 17819/2520.