ocaml: phase 5.1 fraction.ml baseline (rational arithmetic, 4/3 -> num+den=7)
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Defines:

  type frac = { num : int; den : int }
  let rec gcd a b = if b = 0 then a else gcd b (a mod b)
  let make n d =                        (* canonicalise: gcd-reduce and
                                           force den > 0 *)
  let add x y = make (x.num * y.den + y.num * x.den) (x.den * y.den)
  let mul x y = make (x.num * y.num) (x.den * y.den)

Test:
  let r = add (make 1 2) (make 1 3) in     (* 5/6 *)
  let s = mul (make 2 3) (make 3 4) in     (* 1/2 *)
  let t = add r s in                       (* 5/6 + 1/2 = 4/3 *)
  t.num + t.den                            (* = 7 *)

Exercises records, recursive gcd, mod, abs, integer division (the
truncate-toward-zero semantics from iter 94 are essential here —
make would diverge from real OCaml's behaviour with float division).
28 baseline programs total.
This commit is contained in:
2026-05-09 06:05:31 +00:00
parent 2d519461c4
commit 7ca5bfbb70
3 changed files with 28 additions and 0 deletions

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@@ -10,6 +10,7 @@
"exception_handle.ml": 4,
"expr_eval.ml": 16,
"factorial.ml": 3628800,
"fraction.ml": 7,
"frequency.ml": 5,
"fizzbuzz.ml": 57,
"list_ops.ml": 30,