[racket] Challenge: <impressive function> in 140 chars or less

From: Neil Toronto (neil.toronto at gmail.com)
Date: Thu Feb 23 00:09:13 EST 2012

Inspired by the Game of Life tweet challenge (that was seriously cool, 
for a geeky definition of "cool"), I compressed a program that 
calculates pi to arbitrary precision. By my count, this is 132 
characters, after removing comments and extra whitespace:

;; Computes a converging approximation of (atan x) with alternating
;; signs, if x is in (0,1]
(define (q x n)
   (if (= n 0)
       (- (let ([y  (+ 1 (* n 2))])
            (/ (expt x y) y))
          (q x (- n 1)))))

;; Computes pi to arbitrary precision (higher n is better) using
;; Machin's formula
(define (pi n)
   (abs (- (* 16 (q 1/5 n))
           (* 4 (q 1/239 n)))))

For example, (real->decimal-string (pi 141) 200) computes pi to 200 
decimal places.

What's your favorite not just computable, but tweetable function? :)

Neil ⊥

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