RosettaCodeData/Task/Fibonacci-sequence/OCaml/fibonacci-sequence-4.ocaml

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open Num
let mul (a,b,c) (d,e,f) = let bxe = b*/e in
(a*/d +/ bxe, a*/e +/ b*/f, bxe +/ c*/f)
let id = (Int 1, Int 0, Int 1)
let rec pow a n =
if n=0 then id else
let b = pow a (n/2) in
if (n mod 2) = 0 then mul b b else mul a (mul b b)
let fib n =
let (_,y,_) = (pow (Int 1, Int 1, Int 0) n) in
string_of_num y
;;
Printf.printf "fib %d = %s\n" 300 (fib 300)