normalize points in input

this way i can print the full input in as small a space as possible!

src/day14.ml

@@ -4,7 +4,14 @@ type tile =
   | Empty
   | Rock
   | Sand
-[@@deriving show]
+  | Start
+
+let char_of_tile = function
+  | Empty -> '.'
+  | Rock -> '#'
+  | Sand -> 'o'
+  | Start -> 'v'
+;;
 
 let parse_line line =
   let open Utils.Parse in
@@ -13,6 +20,33 @@ let parse_line line =
   Result.get_or_failwith @@ parse_string ~consume:All vec_list line
 ;;
 
+let parse_lines lines start =
+  let points = List.map parse_line lines in
+  let lx, hx, ly, hy =
+    points
+    |> List.flatten
+    |> List.append [ start ]
+    |> List.fold_left
+         (fun (lx, hx, ly, hy) Vec2.{ x; y } ->
+           let lx = min lx x in
+           let hx = max hx x in
+           let ly = min ly y in
+           let hy = max hy y in
+           lx, hx, ly, hy)
+         (Int.max_int, 0, Int.max_int, 0)
+  in
+  let pad_x = 2 in
+  let extra = Vec2.of_tuple (lx - pad_x, ly) in
+  let width = hx - lx + (pad_x * 2) + 1 in
+  let height = hy - ly + 1 in
+  let start = Vec2.(start - extra) in
+  let points =
+    points
+    |> List.map (fun points -> points |> List.map (fun point -> Vec2.(point - extra)))
+  in
+  points, start, width, height
+;;
+
 let draw_rocks grid points =
   let open Grid in
   let _ =
@@ -25,24 +59,190 @@ let draw_rocks grid points =
 ;;
 
 let%expect_test "Day 14 example" =
-  let grid = Grid.init ~width:20 ~height:10 (fun _ -> Empty) in
-  [ "8,4 -> 8,6 -> 6,6"; "13,4 -> 12,4 -> 12,9 -> 4,9" ]
-  |> List.iter (fun line -> parse_line line |> draw_rocks grid);
-  Printf.printf "%s"
-  @@ Grid.draw grid (function
-    | Empty -> '.'
-    | Rock -> '#'
-    | Sand -> 'o');
+  (* let lines = [ "498,4 -> 498,6 -> 496,6"; "503,4 -> 502,4 -> 502,9 -> 494,9" ] in *)
+  let lines = Utils.lines_of_input 14 in
+  let start = Vec2.of_tuple (500, 0) in
+  let points, start, width, height = parse_lines lines start in
+  let grid = Grid.init ~width ~height (fun _ -> Empty) in
+  points |> List.iter @@ draw_rocks grid;
+  grid.Grid.%(start) <- Start;
+  Printf.printf "w %d h %d\n" width height;
+  Printf.printf "%s" @@ Grid.draw grid char_of_tile;
   [%expect
     {|
-    ....................
-    ....................
-    ....................
-    ....................
-    ........#...##......
-    ........#...#.......
-    ......###...#.......
-    ............#.......
-    ............#.......
-    ....#########....... |}]
+    w 75 h 174
+    ..........v................................................................
+    ...........................................................................
+    ...........................................................................
+    ...........................................................................
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+    ........#..#...............................................................
+    ........#..#...............................................................
+    ..#######..######..........................................................
+    ..#.............#..........................................................
+    ..#.............#..........................................................
+    ..#.............#..........................................................
+    ..#.............#..........................................................
+    ..#.............#..........................................................
+    ..#.............#..........................................................
+    ..#.............#..........................................................
+    ..###############..........................................................
+    ...........................................................................
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+    ..............######.......................................................
+    ...........................................................................
+    ...........######.######...................................................
+    ...........................................................................
+    ........######.######.######...............................................
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+    .....######.######.######.######...........................................
+    ...........................................................................
+    ..######.######.######.######.######.......................................
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+    ........######.######.######.######........................................ |}]
 ;;