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Ingy döt Net 2023-07-01 11:58:00 -04:00
parent 7387c8f97b
commit cb5bb5e222
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6
Task/Modular-exponentiation/Clojure/modular-exponentiation-1.clj Normal file
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(defn powerMod "modular exponentiation" [b e m]
(defn m* [p q] (mod (* p q) m))
(loop [b b, e e, x 1]
(if (zero? e) x
(if (even? e) (recur (m* b b) (/ e 2) x)
(recur (m* b b) (quot e 2) (m* b x))))))

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Task/Modular-exponentiation/Clojure/modular-exponentiation-2.clj Normal file
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(defn modpow
" b^e mod m (using Java which solves some cases the pure clojure method has to be modified to tackle--i.e. with large b & e and
calculation simplications when gcd(b, m) == 1 and gcd(e, m) == 1) "
[b e m]
(.modPow (biginteger b) (biginteger e) (biginteger m)))