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(************************************************************************)
(* * The Coq Proof Assistant / The Coq Development Team *)
(* v * Copyright INRIA, CNRS and contributors *)
(* <O___,, * (see version control and CREDITS file for authors & dates) *)
(* \VV/ **************************************************************)
(* // * This file is distributed under the terms of the *)
(* * GNU Lesser General Public License Version 2.1 *)
(* * (see LICENSE file for the text of the license) *)
(************************************************************************)
Require Import Ltac2.Init.
Ltac2 Type exn ::= [ Division_by_zero ].
Ltac2 @ external equal : int -> int -> bool := "ltac2" "int_equal".
Ltac2 @ external compare : int -> int -> int := "ltac2" "int_compare".
Ltac2 @ external add : int -> int -> int := "ltac2" "int_add".
Ltac2 @ external sub : int -> int -> int := "ltac2" "int_sub".
Ltac2 @ external mul : int -> int -> int := "ltac2" "int_mul".
Ltac2 @ external neg : int -> int := "ltac2" "int_neg".
Ltac2 lt (x : int) (y : int) := equal (compare x y) -1.
Ltac2 gt (x : int) (y : int) := equal (compare x y) 1.
Ltac2 le (x : int) (y : int) :=
(* we might use [lt x (add y 1)], but that has the wrong behavior on MAX_INT *)
match equal x y with
| true => true
| false => lt x y
end.
Ltac2 ge (x : int) (y : int) :=
(* we might use [lt (add x 1) y], but that has the wrong behavior on MAX_INT *)
match equal x y with
| true => true
| false => gt x y
end.
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