Given a year, report if it is a leap year.
The tricky thing here is that a leap year in the Gregorian calendar occurs:
on every year that is evenly divisible by 4
except every year that is evenly divisible by 100
unless the year is also evenly divisible by 400
For example, 1997 is not a leap year, but 1996 is. 1900 is not a leap year, but 2000 is.
Though our exercise adopts some very simple rules, there is more to learn!
For a delightful, four minute explanation of the whole leap year phenomenon, go watch this youtube video.
For library documentation, follow Useful OCaml resources.
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JavaRanch Cattle Drive, exercise 3 http://www.javaranch.com/leap.jsp
(* leap - 1.5.1 *)
open OUnit2
open Leap
let ae exp got _test_ctxt = assert_equal exp got ~printer:string_of_bool
let tests = [
"year not divisible by 4 in common year" >::
ae false (leap_year 2015);
"year divisible by 2, not divisible by 4 in common year" >::
ae false (leap_year 1970);
"year divisible by 4, not divisible by 100 in leap year" >::
ae true (leap_year 1996);
"year divisible by 100, not divisible by 400 in common year" >::
ae false (leap_year 2100);
"year divisible by 400 in leap year" >::
ae true (leap_year 2000);
"year divisible by 200, not divisible by 400 in common year" >::
ae false (leap_year 1800);
]
let () =
run_test_tt_main ("leap tests" >::: tests)
(* util *)
let (~!) = not
let (%?) a b =
a mod b = 0
(* solution *)
let leap_year y =
(y %? 4) &&
~!(y %? 100) ||
(y %? 400)
val ( ~! ) : bool -> bool
val ( %? ) : int -> int -> bool
val leap_year : int -> bool
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