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Diskussion on Hacker News about finding the longest Collatz (-like) sequence. The discussion compared a Haskell implementation with an implementation in C. This adds just another implementation.
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(* Discussion on Hacker News: https://news.ycombinator.com/item?id=6822901 | |
*) | |
exception Error of string | |
let (@@) f x = f x | |
let error fmt = Printf.kprintf (fun msg -> raise (Error msg)) fmt | |
type result = int * int | |
let max: result -> result -> result = fun (a, x) (b, y) -> | |
if x > y then (a, x) else (b, y) | |
let next a = if a mod 2 = 0 then a/2 else (3*a+1)/2 | |
let runlength start = | |
let rec loop len a = | |
if a = 1 then | |
(start, len) | |
else | |
loop (len+1) (next a) | |
in | |
loop 0 start | |
let collatz limit = | |
let rec loop start longest = | |
if start >= limit | |
then longest | |
else loop (start+1) (max longest @@ runlength start) | |
in | |
loop 1 (0,0) | |
let report: result -> unit | |
= fun (start, len) -> Printf.printf "start: %d length: %d\n" start len | |
let main () = | |
let argv = List.tl @@ Array.to_list Sys.argv in | |
let a2i n = try int_of_string n | |
with Failure _ -> error "expected a number, found %s" n in | |
match argv with | |
| [] -> report @@ collatz 10000 | |
| [n] -> report @@ collatz @@ a2i n | |
| _ -> error "usage: collatz [n]" | |
let () = | |
try | |
main (); exit 0 | |
with | |
| Error msg -> Printf.eprintf "Error: %s\n" msg; exit 1 |
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