File: test_array.ml

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open! Import
open Base_quickcheck
open Expect_test_helpers_base
open Array

let%test_module "Binary_searchable" =
  (module Test_binary_searchable.Test1 (struct
    include Array

    module For_test = struct
      let of_array = Fn.id
    end
  end))
;;

let%test_module "Blit" =
  (module Test_blit.Test1
            (struct
              type 'a z = 'a

              include Array

              let create_bool ~len = create ~len false
            end)
            (Array))
;;

module List_helpers = struct
  let rec sprinkle x xs =
    (x :: xs)
    ::
    (match xs with
     | [] -> []
     | x' :: xs' -> List.map (sprinkle x xs') ~f:(fun sprinkled -> x' :: sprinkled))
  ;;

  let rec permutations = function
    | [] -> [ [] ]
    | x :: xs -> List.concat_map (permutations xs) ~f:(fun perms -> sprinkle x perms)
  ;;
end

let%test_module "Sort" =
  (module struct
    open Private.Sort

    let%test_module "Intro_sort.five_element_sort" =
      (module struct
        (* run [five_element_sort] on all permutations of an array of five elements *)

        let all_perms = List_helpers.permutations [ 1; 2; 3; 4; 5 ]
        let%test _ = List.length all_perms = 120
        let%test _ = not (List.contains_dup ~compare:[%compare: int list] all_perms)

        let%test _ =
          List.for_all all_perms ~f:(fun l ->
            let arr = Array.of_list l in
            Intro_sort.five_element_sort arr ~compare:[%compare: int] 0 1 2 3 4;
            [%compare.equal: int t] arr [| 1; 2; 3; 4; 5 |])
        ;;
      end)
    ;;

    module Test (M : Private.Sort.Sort) = struct
      let random_data ~length ~range =
        let arr = Array.create ~len:length 0 in
        for i = 0 to length - 1 do
          arr.(i) <- Random.int range
        done;
        arr
      ;;

      let assert_sorted arr =
        M.sort arr ~left:0 ~right:(Array.length arr - 1) ~compare:[%compare: int];
        let len = Array.length arr in
        let rec loop i prev =
          if i = len then true else if arr.(i) < prev then false else loop (i + 1) arr.(i)
        in
        loop 0 (-1)
      ;;

      let%test _ = assert_sorted (random_data ~length:0 ~range:100)
      let%test _ = assert_sorted (random_data ~length:1 ~range:100)
      let%test _ = assert_sorted (random_data ~length:100 ~range:1_000)
      let%test _ = assert_sorted (random_data ~length:1_000 ~range:1)
      let%test _ = assert_sorted (random_data ~length:1_000 ~range:10)
      let%test _ = assert_sorted (random_data ~length:1_000 ~range:1_000_000)
    end

    let%test_module _ = (module Test (Insertion_sort))
    let%test_module _ = (module Test (Heap_sort))
    let%test_module _ = (module Test (Intro_sort))
  end)
;;

let%test _ = is_sorted [||] ~compare:[%compare: int]
let%test _ = is_sorted [| 0 |] ~compare:[%compare: int]
let%test _ = is_sorted [| 0; 1; 2; 2; 4 |] ~compare:[%compare: int]
let%test _ = not (is_sorted [| 0; 1; 2; 3; 2 |] ~compare:[%compare: int])

let%test_unit _ =
  List.iter
    ~f:(fun (t, expect) ->
      assert (Bool.equal expect (is_sorted_strictly (of_list t) ~compare:[%compare: int])))
    [ [], true
    ; [ 1 ], true
    ; [ 1; 2 ], true
    ; [ 1; 1 ], false
    ; [ 2; 1 ], false
    ; [ 1; 2; 3 ], true
    ; [ 1; 1; 3 ], false
    ; [ 1; 2; 2 ], false
    ]
;;

let%expect_test "merge" =
  let test a1 a2 =
    let res = merge a1 a2 ~compare:Int.compare in
    print_s ([%sexp_of: int array] res);
    require_equal
      [%here]
      (module struct
        type t = int list [@@deriving equal, sexp_of]
      end)
      (to_list res)
      (List.merge (to_list a1) (to_list a2) ~compare:Int.compare)
  in
  test [||] [||];
  [%expect {| () |}];
  test [| 1; 2; 3 |] [||];
  [%expect {| (1 2 3) |}];
  test [||] [| 1; 2; 3 |];
  [%expect {| (1 2 3) |}];
  test [| 1; 2; 3 |] [| 1; 2; 3 |];
  [%expect {| (1 1 2 2 3 3) |}];
  test [| 1; 2; 3 |] [| 4; 5; 6 |];
  [%expect {| (1 2 3 4 5 6) |}];
  test [| 4; 5; 6 |] [| 1; 2; 3 |];
  [%expect {| (1 2 3 4 5 6) |}];
  test [| 3; 5 |] [| 1; 2; 4; 6 |];
  [%expect {| (1 2 3 4 5 6) |}];
  test [| 1; 3; 7; 8; 9 |] [| 2; 4; 5; 6 |];
  [%expect {| (1 2 3 4 5 6 7 8 9) |}];
  test [| 1; 2; 2; 3 |] [| 2; 2; 3; 4 |];
  [%expect {| (1 2 2 2 2 3 3 4) |}]
;;

let%expect_test "merge with duplicates" =
  (* Testing that equal elements from a1 come before equal elements from a2 *)
  let test a1 a2 =
    let compare a b = Comparable.lift Int.compare ~f:fst a b in
    let res = merge a1 a2 ~compare in
    print_s ([%sexp_of: (int * string) array] res);
    require_equal
      [%here]
      (module struct
        type t = (int * string) list [@@deriving equal, sexp_of]
      end)
      (to_list res)
      (List.merge (to_list a1) (to_list a2) ~compare)
  in
  test [| 1, "a1" |] [| 1, "a2" |];
  [%expect {|
    ((1 a1)
     (1 a2))
    |}];
  test [| 1, "a1"; 2, "a1"; 3, "a1" |] [| 3, "a2"; 4, "a2"; 5, "a2" |];
  [%expect
    {|
    ((1 a1)
     (2 a1)
     (3 a1)
     (3 a2)
     (4 a2)
     (5 a2))
    |}];
  test [| 3, "a1"; 4, "a1"; 5, "a1" |] [| 1, "a2"; 2, "a2"; 3, "a2" |];
  [%expect
    {|
    ((1 a2)
     (2 a2)
     (3 a1)
     (3 a2)
     (4 a1)
     (5 a1))
    |}];
  test [| 1, "a1"; 3, "a1"; 3, "a1"; 5, "a1" |] [| 2, "a2"; 3, "a2"; 3, "a2"; 4, "a2" |];
  [%expect
    {|
    ((1 a1)
     (2 a2)
     (3 a1)
     (3 a1)
     (3 a2)
     (3 a2)
     (4 a2)
     (5 a1))
    |}]
;;

let%test _ = foldi [||] ~init:13 ~f:(fun _ _ _ -> failwith "bad") = 13
let%test _ = foldi [| 13 |] ~init:17 ~f:(fun i ac x -> ac + i + x) = 30
let%test _ = foldi [| 13; 17 |] ~init:19 ~f:(fun i ac x -> ac + i + x) = 50

let%test_module "count{,i}" =
  (module struct
    let%expect_test "[Array.count{,i} = List.count{,i}]" =
      quickcheck_m
        [%here]
        (module struct
          type t = int list * (int -> bool) [@@deriving quickcheck, sexp_of]
        end)
        ~f:(fun (list, f) ->
          require_equal
            [%here]
            (module Int)
            (list |> List.count ~f)
            (list |> of_list |> count ~f));
      quickcheck_m
        [%here]
        (module struct
          type t = int list * (int -> int -> bool) [@@deriving quickcheck, sexp_of]
        end)
        ~f:(fun (list, f) ->
          require_equal
            [%here]
            (module Int)
            (list |> List.counti ~f)
            (list |> of_list |> counti ~f))
    ;;

    let%test _ = counti [| 0; 1; 2; 3; 4 |] ~f:(fun idx x -> idx = x) = 5
    let%test _ = counti [| 0; 1; 2; 3; 4 |] ~f:(fun idx x -> idx = 4 - x) = 1
  end)
;;

let%test_module "{min,max}_elt" =
  (module struct
    let test_opt_selector arr_fun list_fun =
      quickcheck_m
        [%here]
        (module struct
          type t = int list [@@deriving sexp_of, quickcheck]
        end)
        ~f:(fun list ->
          let arr = of_list list in
          require_equal
            [%here]
            (module struct
              type t = int option [@@deriving sexp_of, equal]
            end)
            (arr_fun arr ~compare:(fun x y -> Int.compare x y))
            (list_fun list ~compare:(fun x y -> Int.compare x y)))
    ;;

    let%expect_test "min_elt" = test_opt_selector min_elt List.min_elt
    let%expect_test "max_elt" = test_opt_selector max_elt List.max_elt
  end)
;;

let%test_unit _ =
  for i = 0 to 5 do
    let l1 = List.init i ~f:Fn.id in
    let l2 = List.rev (to_list (of_list_rev l1)) in
    assert ([%compare.equal: int list] l1 l2)
  done
;;

let%test_unit _ =
  [%test_result: int array]
    (filter_opt [| Some 1; None; Some 2; None; Some 3 |])
    ~expect:[| 1; 2; 3 |]
;;

let%test_unit _ =
  [%test_result: int array] (filter_opt [| Some 1; None; Some 2 |]) ~expect:[| 1; 2 |]
;;

let%test_unit _ = [%test_result: int array] (filter_opt [| Some 1 |]) ~expect:[| 1 |]
let%test_unit _ = [%test_result: int array] (filter_opt [| None |]) ~expect:[||]
let%test_unit _ = [%test_result: int array] (filter_opt [||]) ~expect:[||]

let%expect_test _ =
  print_s ([%sexp_of: int array] (map2_exn [| 1; 2; 3 |] [| 2; 3; 4 |] ~f:( + )));
  [%expect {| (3 5 7) |}]
;;

let%expect_test "map2_exn raise" =
  require_does_raise [%here] (fun () -> map2_exn [| 1; 2; 3 |] [| 2; 3; 4; 5 |] ~f:( + ));
  [%expect {| (Invalid_argument "length mismatch in Array.map2_exn: 3 <> 4") |}]
;;

let%test_unit _ =
  [%test_result: int]
    (fold2_exn [||] [||] ~init:13 ~f:(fun _ -> failwith "fail"))
    ~expect:13
;;

let%test_unit _ =
  [%test_result: (int * string) list]
    (fold2_exn [| 1 |] [| "1" |] ~init:[] ~f:(fun ac a b -> (a, b) :: ac))
    ~expect:[ 1, "1" ]
;;

let%test_unit _ =
  [%test_result: int array] (filter [| 0; 1 |] ~f:(fun n -> n < 2)) ~expect:[| 0; 1 |]
;;

let%test_unit _ =
  [%test_result: int array] (filter [| 0; 1 |] ~f:(fun n -> n < 1)) ~expect:[| 0 |]
;;

let%test_unit _ =
  [%test_result: int array] (filter [| 0; 1 |] ~f:(fun n -> n < 0)) ~expect:[||]
;;

let%test_unit _ = [%test_result: bool] (exists [||] ~f:(fun _ -> true)) ~expect:false

let%test_unit _ =
  [%test_result: bool] (exists [| 0; 1; 2; 3 |] ~f:(fun x -> 4 = x)) ~expect:false
;;

let%test_unit _ =
  [%test_result: bool] (exists [| 0; 1; 2; 3 |] ~f:(fun x -> 2 = x)) ~expect:true
;;

let%test_unit _ = [%test_result: bool] (existsi [||] ~f:(fun _ _ -> true)) ~expect:false

let%test_unit _ =
  [%test_result: bool] (existsi [| 0; 1; 2; 3 |] ~f:(fun i x -> i <> x)) ~expect:false
;;

let%test_unit _ =
  [%test_result: bool] (existsi [| 0; 1; 3; 3 |] ~f:(fun i x -> i <> x)) ~expect:true
;;

let%test_unit _ = [%test_result: bool] (for_all [||] ~f:(fun _ -> false)) ~expect:true

let%test_unit _ =
  [%test_result: bool] (for_all [| 1; 2; 3 |] ~f:Int.is_positive) ~expect:true
;;

let%test_unit _ =
  [%test_result: bool] (for_all [| 0; 1; 3; 3 |] ~f:Int.is_positive) ~expect:false
;;

let%test_unit _ = [%test_result: bool] (for_alli [||] ~f:(fun _ _ -> false)) ~expect:true

let%test_unit _ =
  [%test_result: bool] (for_alli [| 0; 1; 2; 3 |] ~f:(fun i x -> i = x)) ~expect:true
;;

let%test_unit _ =
  [%test_result: bool] (for_alli [| 0; 1; 3; 3 |] ~f:(fun i x -> i = x)) ~expect:false
;;

let%test_unit _ =
  [%test_result: bool] (exists2_exn [||] [||] ~f:(fun _ _ -> true)) ~expect:false
;;

let%test_unit _ =
  [%test_result: bool]
    (exists2_exn [| 0; 2; 4; 6 |] [| 0; 2; 4; 6 |] ~f:(fun x y -> x <> y))
    ~expect:false
;;

let%test_unit _ =
  [%test_result: bool]
    (exists2_exn [| 0; 2; 4; 8 |] [| 0; 2; 4; 6 |] ~f:(fun x y -> x <> y))
    ~expect:true
;;

let%test_unit _ =
  [%test_result: bool]
    (exists2_exn [| 2; 2; 4; 6 |] [| 0; 2; 4; 6 |] ~f:(fun x y -> x <> y))
    ~expect:true
;;

let%test_unit _ =
  [%test_result: bool] (for_all2_exn [||] [||] ~f:(fun _ _ -> false)) ~expect:true
;;

let%test_unit _ =
  [%test_result: bool]
    (for_all2_exn [| 0; 2; 4; 6 |] [| 0; 2; 4; 6 |] ~f:(fun x y -> x = y))
    ~expect:true
;;

let%test_unit _ =
  [%test_result: bool]
    (for_all2_exn [| 0; 2; 4; 8 |] [| 0; 2; 4; 6 |] ~f:(fun x y -> x = y))
    ~expect:false
;;

let%test_unit _ =
  [%test_result: bool]
    (for_all2_exn [| 2; 2; 4; 6 |] [| 0; 2; 4; 6 |] ~f:(fun x y -> x = y))
    ~expect:false
;;

let%test_unit _ = [%test_result: bool] (equal ( = ) [||] [||]) ~expect:true
let%test_unit _ = [%test_result: bool] (equal ( = ) [| 1 |] [| 1 |]) ~expect:true
let%test_unit _ = [%test_result: bool] (equal ( = ) [| 1; 2 |] [| 1; 2 |]) ~expect:true
let%test_unit _ = [%test_result: bool] (equal ( = ) [||] [| 1 |]) ~expect:false
let%test_unit _ = [%test_result: bool] (equal ( = ) [| 1 |] [||]) ~expect:false
let%test_unit _ = [%test_result: bool] (equal ( = ) [| 1 |] [| 1; 2 |]) ~expect:false
let%test_unit _ = [%test_result: bool] (equal ( = ) [| 1; 2 |] [| 1; 3 |]) ~expect:false

let%test_unit _ =
  [%test_result: (int * int) option]
    (findi [| 1; 2; 3; 4 |] ~f:(fun i x -> i = 2 * x))
    ~expect:None
;;

let%test_unit _ =
  [%test_result: (int * int) option]
    (findi [| 1; 2; 1; 4 |] ~f:(fun i x -> i = 2 * x))
    ~expect:(Some (2, 1))
;;

let%test_unit _ =
  [%test_result: int option]
    (find_mapi [| 0; 5; 2; 1; 4 |] ~f:(fun i x -> if i = x then Some (i + x) else None))
    ~expect:(Some 0)
;;

let%test_unit _ =
  [%test_result: int option]
    (find_mapi [| 3; 5; 2; 1; 4 |] ~f:(fun i x -> if i = x then Some (i + x) else None))
    ~expect:(Some 4)
;;

let%test_unit _ =
  [%test_result: int option]
    (find_mapi [| 3; 5; 1; 1; 4 |] ~f:(fun i x -> if i = x then Some (i + x) else None))
    ~expect:(Some 8)
;;

let%test_unit _ =
  [%test_result: int option]
    (find_mapi [| 3; 5; 1; 1; 2 |] ~f:(fun i x -> if i = x then Some (i + x) else None))
    ~expect:None
;;

let%test_unit _ =
  List.iter
    ~f:(fun (l, expect) ->
      let t = of_list l in
      assert (Poly.equal expect (find_consecutive_duplicate t ~equal:Poly.equal)))
    [ [], None
    ; [ 1 ], None
    ; [ 1; 1 ], Some (1, 1)
    ; [ 1; 2 ], None
    ; [ 1; 2; 1 ], None
    ; [ 1; 2; 2 ], Some (2, 2)
    ; [ 1; 1; 2; 2 ], Some (1, 1)
    ]
;;

let%test_unit _ = [%test_result: int option] (random_element [||]) ~expect:None
let%test_unit _ = [%test_result: int option] (random_element [| 0 |]) ~expect:(Some 0)

let%test_unit _ =
  List.iter
    [ [||]; [| 1 |]; [| 1; 2; 3; 4; 5 |] ]
    ~f:(fun t -> [%test_result: int array] (Sequence.to_array (to_sequence t)) ~expect:t)
;;

let test_fold_map array ~init ~f ~expect =
  [%test_result: int array] (folding_map array ~init ~f) ~expect:(snd expect);
  [%test_result: int * int array] (fold_map array ~init ~f) ~expect
;;

let test_fold_mapi array ~init ~f ~expect =
  [%test_result: int array] (folding_mapi array ~init ~f) ~expect:(snd expect);
  [%test_result: int * int array] (fold_mapi array ~init ~f) ~expect
;;

let%test_unit _ =
  test_fold_map
    [| 1; 2; 3; 4 |]
    ~init:0
    ~f:(fun acc x ->
      let y = acc + x in
      y, y)
    ~expect:(10, [| 1; 3; 6; 10 |])
;;

let%test_unit _ =
  test_fold_map
    [||]
    ~init:0
    ~f:(fun acc x ->
      let y = acc + x in
      y, y)
    ~expect:(0, [||])
;;

let%test_unit _ =
  test_fold_mapi
    [| 1; 2; 3; 4 |]
    ~init:0
    ~f:(fun i acc x ->
      let y = acc + (i * x) in
      y, y)
    ~expect:(20, [| 0; 2; 8; 20 |])
;;

let%test_unit _ =
  test_fold_mapi
    [||]
    ~init:0
    ~f:(fun i acc x ->
      let y = acc + (i * x) in
      y, y)
    ~expect:(0, [||])
;;

let%test_module "permute" =
  (module struct
    module Int_list = struct
      type t = int list [@@deriving compare, sexp_of]

      include (val Comparator.make ~compare ~sexp_of_t)
    end

    let test_permute initial_contents ~pos ~len =
      let all_permutations =
        let pos, len =
          Ordered_collection_common.get_pos_len_exn
            ?pos
            ?len
            ~total_length:(List.length initial_contents)
            ()
        in
        let left = List.take initial_contents pos in
        let middle = List.sub initial_contents ~pos ~len in
        let right = List.drop initial_contents (pos + len) in
        Set.of_list
          (module Int_list)
          (List_helpers.permutations middle
           |> List.map ~f:(fun middle -> left @ middle @ right))
      in
      let not_yet_seen = ref all_permutations in
      while not (Set.is_empty !not_yet_seen) do
        let array = of_list initial_contents in
        permute ?pos ?len array;
        let permutation = to_list array in
        if not (Set.mem all_permutations permutation)
        then
          raise_s
            [%sexp
              "invalid permutation"
              , { array_length = (List.length initial_contents : int)
                ; permutation : int list
                ; pos : int option
                ; len : int option
                }];
        not_yet_seen := Set.remove !not_yet_seen permutation
      done
    ;;

    let%expect_test "permute different array lengths and subranges" =
      let indices = None :: List.map [ 0; 1; 2; 3; 4 ] ~f:Option.some in
      for array_length = 0 to 4 do
        let initial_contents = List.init array_length ~f:Int.succ in
        List.iter indices ~f:(fun pos ->
          List.iter indices ~f:(fun len ->
            match
              Ordered_collection_common.get_pos_len
                ?pos
                ?len
                ~total_length:array_length
                ()
            with
            | Ok _ -> test_permute initial_contents ~pos ~len
            | Error _ ->
              require
                [%here]
                (Exn.does_raise (fun () ->
                   permute ?pos ?len (Array.of_list initial_contents)))))
      done;
      [%expect {| |}]
    ;;
  end)
;;

let%expect_test "create_float_uninitialized" =
  let array = create_float_uninitialized ~len:10 in
  (* make sure reading/writing the array is safe *)
  Array.permute array;
  (* sanity check without depending on specific contents *)
  print_s [%sexp (Array.length array : int)];
  [%expect {| 10 |}]
;;

module Int_array = struct
  type t = int array [@@deriving equal, sexp_of]
end

module Int_list = struct
  type t = int list [@@deriving equal, sexp_of]
end

let%expect_test "swap" =
  let array = [| 0; 1; 2; 3 |] in
  print_s [%sexp (array : int array)];
  [%expect {| (0 1 2 3) |}];
  swap array 0 0;
  print_s [%sexp (array : int array)];
  [%expect {| (0 1 2 3) |}];
  swap array 0 3;
  print_s [%sexp (array : int array)];
  [%expect {| (3 1 2 0) |}]
;;

let%expect_test "rev and rev_inplace" =
  let test ordered_list =
    let ordered_array = of_list ordered_list in
    let reversed_array =
      let array = copy ordered_array in
      rev_inplace array;
      array
    in
    require_equal
      [%here]
      (module Int_list)
      (to_list reversed_array)
      (List.rev ordered_list);
    require_equal [%here] (module Int_array) reversed_array (rev ordered_array);
    print_s [%sexp (reversed_array : int array)]
  in
  test [];
  [%expect {| () |}];
  test [ 0 ];
  [%expect {| (0) |}];
  test (List.init 10 ~f:Fn.id);
  [%expect {| (9 8 7 6 5 4 3 2 1 0) |}]
;;

let%expect_test "map_inplace" =
  let test list =
    let f x = x * x in
    let array = of_list list in
    map_inplace array ~f;
    require_equal [%here] (module Int_list) (to_list array) (List.map list ~f);
    print_s [%sexp (array : int array)]
  in
  test [];
  [%expect {| () |}];
  test [ 0 ];
  [%expect {| (0) |}];
  test (List.init 10 ~f:Fn.id);
  [%expect {| (0 1 4 9 16 25 36 49 64 81) |}]
;;

let%expect_test "cartesian_product" =
  require [%here] (is_empty (cartesian_product [||] [||]));
  require [%here] (is_empty (cartesian_product [||] [| 13 |]));
  require [%here] (is_empty (cartesian_product [| 13 |] [||]));
  print_s [%sexp (cartesian_product [| 1; 2; 3 |] [| "a"; "b" |] : (int * string) array)];
  [%expect {|
    ((1 a)
     (1 b)
     (2 a)
     (2 b)
     (3 a)
     (3 b))
    |}]
;;

let%expect_test "create_local" =
  let len = 10 in
  let array = create_local ~len (-1) in
  for i = 0 to len - 1 do
    assert (get array i = -1);
    set array i i
  done;
  let array = init len ~f:(fun i -> get array i) in
  print_s (sexp_of_t sexp_of_int array);
  [%expect {| (0 1 2 3 4 5 6 7 8 9) |}]
;;