On Fri, Aug 20, 2010 at 14:26, bufo <ferna...@gmail.com> wrote:
> I am currently learning clojure by reading The Joy of Clojure and I
> have 2 questions on float opertions:
>
> - why does (+ 4.2 8.4) return 12.600000000000001 and (+ 1.5 2.6) 4.1?
> Since 4.2, 8.4 and (+ 4.2 8.4) are java Doubles why does it not behave
> as expected? What does clojure do in the background?
>
> - I also have a question regarding float precison in big operations,
> consider the following code:
> (defn ope [a b] (+ a (* b (Math/sqrt b))))
>
> (reduce ope (range 1000000))
> 3.999995000001039E14
>
> vs
>
> (loop [i 1 x 0]
>  (if (> i 1000000)
>    x
>    (recur (inc i) (ope x i))))
> 4.000005000001039E14 (which is what we get if we do a for loop in
> java)
>

What you are seeing here is floating point working as designed.

  "What Every Computer Scientist Should Know About Floating-Point Arithmetic"

  http://docs.sun.com/source/806-3568/ncg_goldberg.html

If you need exact answers, use rational numbers. BigDecimals and
BigIntegers may also be of interest depending on your application.

// ben

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