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rose-ash/lib/ocaml/baseline/knapsack.ml
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ocaml: phase 5.1 knapsack.ml baseline (0/1 knapsack, cap=8 -> 36)
Standard 1D 0/1 knapsack DP with reverse inner loop:

  let knapsack values weights cap =
    let n = Array.length values in
    let dp = Array.make (cap + 1) 0 in
    for i = 0 to n - 1 do
      let v = values.(i) and w = weights.(i) in
      for c = cap downto w do
        let take = dp.(c - w) + v in
        if take > dp.(c) then dp.(c) <- take
      done
    done;
    dp.(cap)

  values: [|6; 10; 12; 15; 20|]
  weights: [|1; 2;  3;  4;  5|]
  knapsack v w 8 = 36   (* take items with weights 1, 2, 5 *)

Tests for-downto + array literal access in the same hot loop.

143 baseline programs total.
2026-05-10 04:38:59 +00:00

18 lines
390 B
OCaml

let knapsack values weights cap =
let n = Array.length values in
let dp = Array.make (cap + 1) 0 in
for i = 0 to n - 1 do
let v = values.(i) and w = weights.(i) in
for c = cap downto w do
let take = dp.(c - w) + v in
if take > dp.(c) then dp.(c) <- take
done
done;
dp.(cap)
;;
let v = [|6; 10; 12; 15; 20|] in
let w = [|1; 2; 3; 4; 5|] in
knapsack v w 8