ocaml: phase 5.1 floyd_warshall.ml baseline (4-node APSP, dist(0,3)=9)

Floyd-Warshall all-pairs shortest path with triple-nested for-loop:

  for k = 0 to n - 1 do
    for i = 0 to n - 1 do
      for j = 0 to n - 1 do
        if d.(i).(k) + d.(k).(j) < d.(i).(j) then
          d.(i).(j) <- d.(i).(k) + d.(k).(j)
      done
    done
  done

Graph (4 nodes, directed):
  0->1 weight 5, 0->3 weight 10, 1->2 weight 3, 2->3 weight 1

Direct edge 0->3 = 10, but path 0->1->2->3 = 5+3+1 = 9.

Tests 2D array via Array.init with closure, nested .(i).(j) read
+ write, triple-nested for, in-place mutation under aliasing.

148 baseline programs total.

lib/ocaml/baseline/expected.json

@@ -70,6 +70,7 @@
   "fizz_classifier.ml": 540,
   "fizzbuzz.ml": 57,
   "flatten_tree.ml": 28,
+  "floyd_warshall.ml": 9,
   "lis.ml": 6,
   "list_ops.ml": 30,
   "luhn.ml": 2,

lib/ocaml/baseline/floyd_warshall.ml

@@ -0,0 +1,26 @@
+let inf_int = 1000000
+
+let floyd n graph =
+  let d = Array.init n (fun i ->
+    Array.init n (fun j -> graph.(i).(j))) in
+  for k = 0 to n - 1 do
+    for i = 0 to n - 1 do
+      for j = 0 to n - 1 do
+        if d.(i).(k) + d.(k).(j) < d.(i).(j) then
+          d.(i).(j) <- d.(i).(k) + d.(k).(j)
+      done
+    done
+  done;
+  d
+
+;;
+
+let n = 4 in
+let g = Array.init n (fun _ -> Array.make n inf_int) in
+for i = 0 to n - 1 do g.(i).(i) <- 0 done;
+g.(0).(1) <- 5;
+g.(0).(3) <- 10;
+g.(1).(2) <- 3;
+g.(2).(3) <- 1;
+let d = floyd n g in
+d.(0).(3)

plans/ocaml-on-sx.md

@@ -407,6 +407,14 @@ _Newest first._
   binary search tree (`type 'a tree = Leaf | Node of 'a * 'a tree *
   'a tree`) with insert + in-order traversal. Tests parametric ADT,
   recursive match, List.append, List.fold_left.
+- 2026-05-10 Phase 5.1 — floyd_warshall.ml baseline (all-pairs
+  shortest path on 4-node weighted graph, dist 0→3 = 9). Standard
+  O(n³) DP: for each intermediate vertex k, relax all (i,j) pairs.
+  Uses a 2D array implemented as `Array.init n (fun _ -> Array.make
+  n inf)`, exercising nested array indexing `g.(i).(j)`. Direct
+  edge 0→3 weighs 10; via 0→1→2→3 = 5+3+1 = 9. Tests 2D array
+  construction with closures, triple-nested for-loops, nested
+  `.(i).(j)<-` mutation. 148 baseline programs total.
 - 2026-05-10 Phase 5.1 — mst_kruskal.ml baseline (Kruskal MST on
   5-node, 6-edge graph → MST weight 11). Sort edges by weight,
   greedily add edges whose endpoints are in different components