Created
July 7, 2012 22:22
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euler002
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(ns euler002.euler) | |
(defn- fib-fast | |
[i a b limit] | |
(if | |
(< i limit) | |
(fib-fast (inc i) b (+ a b) limit) | |
b)) | |
(defn fib | |
[n] | |
(if | |
(= n 0) | |
0 | |
(fib-fast (bigint 1) (bigint 0) (bigint 1) (bigint n)))) | |
(defn- even-fibs-less-than | |
[max-fib] | |
(for [n (range) | |
:let [f (fib n)] | |
:when (even? f) | |
:while (< f max-fib)] | |
f)) | |
(defn sum-even-fibs-less-than | |
[max-fib] | |
(reduce + (even-fibs-less-than max-fib))) |
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(ns euler002.euler-test | |
(:use midje.sweet | |
euler002.euler)) | |
(fact | |
(fib 0) => 0 | |
(fib 1) => 1 | |
(fib 2) => 1 | |
(fib 3) => 2 | |
(fib 4) => 3 | |
(fib 12) => 144) | |
(fact "fib can handle even bigint-large numbers, just for fun" | |
(fib 92) => 7540113804746346429 | |
(fib 93) => 12200160415121876738) | |
(fact "The Project Euler problem 2 answer" | |
(sum-even-fibs-less-than 4000000) => 4613732) |
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Cred till @petterik för fib-fast ;D