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Diffstat (limited to 'src/clojure/contrib/lazy_seqs.clj')
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diff --git a/src/clojure/contrib/lazy_seqs.clj b/src/clojure/contrib/lazy_seqs.clj new file mode 100644 index 00000000..5736e20f --- /dev/null +++ b/src/clojure/contrib/lazy_seqs.clj @@ -0,0 +1,94 @@ +;; Copyright (c) Stephen C. Gilardi. All rights reserved. The use and +;; distribution terms for this software are covered by the Common Public +;; License 1.0 (http://opensource.org/licenses/cpl.php) which can be found +;; in the file CPL.TXT at the root of this distribution. By using this +;; software in any fashion, you are agreeing to be bound by the terms of +;; this license. You must not remove this notice, or any other, from this +;; software. +;; +;; lazy-seqs +;; +;; == Lazy sequences == +;; +;; primes - based on the "naive" implemention described in [1] plus a +;; small "wheel" which eliminates multiples of 2, 3, 5, and +;; 7 from consideration by incrementing past them. Also inspired +;; by code from Christophe Grand in [2]. +;; +;; fibs - based on code from Rich Hickey at the Clojure wiki [3] +;; +;; powers-of-2 - all the powers of 2 +;; +;; == Lazy sequence functions == +;; +;; rotations - returns a lazy seq of all the rotations of a seq +;; +;; permutations - returns a lazy seq of all the permutations of a seq +;; +;; [1] http://www.cs.hmc.edu/~oneill/papers/Sieve-JFP.pdf +;; [2] http://clj-me.blogspot.com/2008/06/primes.html +;; [3] http://en.wikibooks.org/wiki/Clojure_Programming#Examples +;; +;; scgilardi (gmail) +;; Created 07 June 2008 + +(ns clojure.contrib.lazy-seqs + (:use clojure.contrib.def)) + +(defvar primes + (lazy-cat [2 3 5 7] + (let [primes-from + (fn primes-from [n [f & r]] + (if (some #(zero? (rem n %)) + (take-while #(<= (* % %) n) primes)) + (recur (+ n f) r) + (lazy-cons n (primes-from (+ n f) r)))) + wheel (cycle [2 4 2 4 6 2 6 4 2 4 6 6 2 6 4 2 + 6 4 6 8 4 2 4 2 4 8 6 4 6 2 4 6 + 2 6 6 4 2 4 6 2 6 4 2 4 2 10 2 10])] + (primes-from 11 wheel))) + "A lazy sequence of all the prime numbers.") + +(defvar fibs + (lazy-cat [0 1] + (let [rest-fn + (fn rest-fn [a b] + (let [next (+ a b)] + (lazy-cons next (rest-fn b next))))] + (rest-fn 0 1))) + "A lazy sequence of all the fibonacci numbers.") + +(defvar powers-of-2 + (lazy-cons 1 (map #(bit-shift-left % 1) powers-of-2)) + "A lazy sequence of all the powers of 2") + +(defn rotations + "Returns a lazy seq of all rotations of a seq" + [x] + (if (seq x) + (map + (fn [n _] + (lazy-cat (drop n x) (take n x))) + (iterate inc 0) x) + (list nil))) + +(defn permutations + "Returns a lazy seq of all permutations of a seq" + [x] + (if (seq x) + (mapcat + (fn [[f & r]] + (map #(cons f %) (permutations r))) + (rotations x)) + (list nil))) + +(defn combinations + "Returns a lazy seq of all combinations built of one item from each seq given. + See also (doc for)" + [& acs] + (let [step (fn step [head [s & cs :as acs]] + (if acs + (mapcat #(step (conj head %) cs) s) + (list head)))] + (when acs + (step [] acs)))) |