(* * Copyright (c) Facebook, Inc. and its affiliates. * * This source code is licensed under the MIT license found in the * LICENSE file in the root directory of this source tree. *) (* [@@@warning "-32"] *) let%test_module _ = ( module struct let () = Trace.init ~margin:68 () (* let () = Trace.init ~margin:68 ~config:Trace.all () *) open Term let pp = Format.printf "@\n%a@." pp let ( ! ) i = integer (Z.of_int i) let ( + ) = add let ( - ) = sub let ( * ) = mul let ( = ) = eq let ( != ) = dq let ( < ) = lt let ( <= ) = le let ( && ) = and_ let ( || ) = or_ let ( ~~ ) = not_ let wrt = Var.Set.empty let y_, wrt = Var.fresh "y" ~wrt let z_, _ = Var.fresh "z" ~wrt let y = var y_ let z = var z_ let%test "booleans distinct" = is_false (true_ = false_) let%test "u1 values distinct" = is_false (one = zero) let%test "boolean overflow" = is_true (minus_one = signed 1 one) let%test _ = is_true (one = unsigned 1 minus_one) let%test "unsigned boolean overflow" = is_true (Exp.uge (Exp.integer Typ.bool Z.minus_one) (Exp.signed 1 (Exp.integer Typ.siz Z.one) ~to_:Typ.bool)) .term let%expect_test _ = pp (!42 + !13) ; [%expect {| 55 |}] let%expect_test _ = pp (!(-128) && !127) ; [%expect {| 0 |}] let%expect_test _ = pp (!(-128) || !127) ; [%expect {| -1 |}] let%expect_test _ = pp (z + !42 + !13) ; [%expect {| (%z_2 + 55) |}] let%expect_test _ = pp (z + !42 + !(-42)) ; [%expect {| %z_2 |}] let%expect_test _ = pp (z * y) ; [%expect {| (%y_1 × %z_2) |}] let%expect_test _ = pp (y * z * y) ; [%expect {| (%y_1^2 × %z_2) |}] let%expect_test _ = pp ((!2 * z * z) + (!3 * z) + !4) ; [%expect {| (3 × %z_2 + 2 × (%z_2^2) + 4) |}] let%expect_test _ = pp ( !1 + (!2 * z) + (!3 * y) + (!4 * z * z) + (!5 * y * y) + (!6 * z * y) + (!7 * y * z * y) + (!8 * z * y * z) + (!9 * z * z * z) ) ; [%expect {| (3 × %y_1 + 2 × %z_2 + 6 × (%y_1 × %z_2) + 8 × (%y_1 × %z_2^2) + 5 × (%y_1^2) + 7 × (%y_1^2 × %z_2) + 4 × (%z_2^2) + 9 × (%z_2^3) + 1) |}] let%expect_test _ = pp (!0 * z * y) ; [%expect {| 0 |}] let%expect_test _ = pp (!1 * z * y) ; [%expect {| (%y_1 × %z_2) |}] let%expect_test _ = pp (!7 * z * (!2 * y)) ; [%expect {| (14 × (%y_1 × %z_2)) |}] let%expect_test _ = pp (!13 + (!42 * z)) ; [%expect {| (42 × %z_2 + 13) |}] let%expect_test _ = pp ((!13 * z) + !42) ; [%expect {| (13 × %z_2 + 42) |}] let%expect_test _ = pp ((!2 * z) - !3 + ((!(-2) * z) + !3)) ; [%expect {| 0 |}] let%expect_test _ = pp ((!3 * y) + (!13 * z) + !42) ; [%expect {| (3 × %y_1 + 13 × %z_2 + 42) |}] let%expect_test _ = pp ((!13 * z) + !42 + (!3 * y)) ; [%expect {| (3 × %y_1 + 13 × %z_2 + 42) |}] let%expect_test _ = pp ((!13 * z) + !42 + (!3 * y) + (!2 * z)) ; [%expect {| (3 × %y_1 + 15 × %z_2 + 42) |}] let%expect_test _ = pp ((!13 * z) + !42 + (!3 * y) + (!(-13) * z)) ; [%expect {| (3 × %y_1 + 42) |}] let%expect_test _ = pp (z + !42 + ((!3 * y) + (!(-1) * z))) ; [%expect {| (3 × %y_1 + 42) |}] let%expect_test _ = pp (!(-1) * (z + (!(-1) * y))) ; [%expect {| (%y_1 + -1 × %z_2) |}] let%expect_test _ = pp (((!3 * y) + !2) * (!4 + (!5 * z))) ; [%expect {| (12 × %y_1 + 10 × %z_2 + 15 × (%y_1 × %z_2) + 8) |}] let%expect_test _ = pp (((!2 * z) - !3 + ((!(-2) * z) + !3)) * (!4 + (!5 * z))) ; [%expect {| 0 |}] let%expect_test _ = pp ((!13 * z) + !42 - ((!3 * y) + (!13 * z))) ; [%expect {| (-3 × %y_1 + 42) |}] let%expect_test _ = pp (z = y) ; [%expect {| (%y_1 = %z_2) |}] let%expect_test _ = pp (z = z) ; [%expect {| -1 |}] let%expect_test _ = pp (z != z) ; [%expect {| 0 |}] let%expect_test _ = pp (!1 = !0) ; [%expect {| 0 |}] let%expect_test _ = pp (!3 * y = z = true_) ; [%expect {| (%z_2 = (3 × %y_1)) |}] let%expect_test _ = pp (true_ = (!3 * y = z)) ; [%expect {| (%z_2 = (3 × %y_1)) |}] let%expect_test _ = pp (!3 * y = z = false_) ; [%expect {| (%z_2 ≠ (3 × %y_1)) |}] let%expect_test _ = pp (false_ = (!3 * y = z)) ; [%expect {| (%z_2 ≠ (3 × %y_1)) |}] let%expect_test _ = pp (y - (!(-3) * y) + !4) ; [%expect {| (4 × %y_1 + 4) |}] let%expect_test _ = pp ((!(-3) * y) + !4 - y) ; [%expect {| (-4 × %y_1 + 4) |}] let%expect_test _ = pp (y = (!(-3) * y) + !4) ; [%expect {| (%y_1 = (-3 × %y_1 + 4)) |}] let%expect_test _ = pp ((!(-3) * y) + !4 = y) ; [%expect {| (%y_1 = (-3 × %y_1 + 4)) |}] let%expect_test _ = pp (sub true_ (z = !4)) ; [%expect {| (-1 × (%z_2 = 4) + -1) |}] let%expect_test _ = pp (add true_ (z = !4) = (z = !4)) ; [%expect {| ((%z_2 = 4) = ((%z_2 = 4) + -1)) |}] let%expect_test _ = pp ((!13 * z) + !42 = (!3 * y) + (!13 * z)) ; [%expect {| ((3 × %y_1 + 13 × %z_2) = (13 × %z_2 + 42)) |}] let%expect_test _ = pp ((!13 * z) + !(-42) = (!3 * y) + (!13 * z)) ; [%expect {| ((3 × %y_1 + 13 × %z_2) = (13 × %z_2 + -42)) |}] let%expect_test _ = pp ((!13 * z) + !42 = (!(-3) * y) + (!13 * z)) ; [%expect {| ((-3 × %y_1 + 13 × %z_2) = (13 × %z_2 + 42)) |}] let%expect_test _ = pp ((!10 * z) + !42 = (!(-3) * y) + (!13 * z)) ; [%expect {| ((-3 × %y_1 + 13 × %z_2) = (10 × %z_2 + 42)) |}] let%expect_test _ = pp ~~((!13 * z) + !(-42) != (!3 * y) + (!13 * z)) ; [%expect {| ((3 × %y_1 + 13 × %z_2) = (13 × %z_2 + -42)) |}] let%expect_test _ = pp ~~(!2 < y && z <= !3) ; [%expect {| ((%y_1 ≤ 2) || (3 < %z_2)) |}] let%expect_test _ = pp ~~(!2 <= y || z < !3) ; [%expect {| ((%y_1 < 2) && (3 ≤ %z_2)) |}] let%expect_test _ = pp (eq z null) ; pp (eq null z) ; pp (dq (eq null z) false_) ; [%expect {| (%z_2 = 0) (%z_2 = 0) (%z_2 = 0) |}] let%expect_test _ = let z1 = z + !1 in let z1_2 = z1 * z1 in pp z1_2 ; pp (z1_2 * z1_2) ; [%expect {| (2 × %z_2 + (%z_2^2) + 1) (4 × %z_2 + 6 × (%z_2^2) + 4 × (%z_2^3) + (%z_2^4) + 1) |}] end )