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rose-ash/lib/ocaml/baseline/quickselect.ml
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ocaml: phase 5.1 quickselect.ml baseline (median of 9 elements = 5)
Hoare quickselect with Lomuto partition: recursively narrows the
range to whichever side contains the kth index. Mutates the array
in place via .(i)<-v. The median (k=4) of [7;2;9;1;5;6;3;8;4] is 5.

  let rec quickselect arr lo hi k =
    if lo = hi then arr.(lo)
    else begin
      let pivot = arr.(hi) in
      let i = ref lo in
      for j = lo to hi - 1 do
        if arr.(j) < pivot then begin
          let t = arr.(!i) in
          arr.(!i) <- arr.(j); arr.(j) <- t;
          i := !i + 1
        end
      done;
      ...
    end

Exercises array literal syntax + in-place mutation in the same
program, ensuring [|...|] yields a mutable backing.

138 baseline programs total.
2026-05-10 03:50:59 +00:00

26 lines
569 B
OCaml

let rec quickselect arr lo hi k =
if lo = hi then arr.(lo)
else begin
let pivot = arr.(hi) in
let i = ref lo in
for j = lo to hi - 1 do
if arr.(j) < pivot then begin
let t = arr.(!i) in
arr.(!i) <- arr.(j);
arr.(j) <- t;
i := !i + 1
end
done;
let t = arr.(!i) in
arr.(!i) <- arr.(hi);
arr.(hi) <- t;
if !i = k then arr.(!i)
else if !i < k then quickselect arr (!i + 1) hi k
else quickselect arr lo (!i - 1) k
end
;;
let a = [|7; 2; 9; 1; 5; 6; 3; 8; 4|] in
quickselect a 0 8 4