Source file pbt.ml

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(*****************************************************************************)
(* Open Source License                                                       *)
(* Copyright (c) 2021 Valentin Chaboche                                      *)
(* Copyright (c) 2021 Nomadic Labs, <contact@nomadic-labs.com>               *)
(*                                                                           *)
(* Permission is hereby granted, free of charge, to any person obtaining a   *)
(* copy of this software and associated documentation files (the "Software"),*)
(* to deal in the Software without restriction, including without limitation *)
(* the rights to use, copy, modify, merge, publish, distribute, sublicense,  *)
(* and/or sell copies of the Software, and to permit persons to whom the     *)
(* Software is furnished to do so, subject to the following conditions:      *)
(*                                                                           *)
(* The above copyright notice and this permission notice shall be included   *)
(* in all copies or substantial portions of the Software.                    *)
(*                                                                           *)
(* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR*)
(* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,  *)
(* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL   *)
(* THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER*)
(* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING   *)
(* FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER       *)
(* DEALINGS IN THE SOFTWARE.                                                 *)
(*                                                                           *)
(*****************************************************************************)

module Gens = struct
  let int = QCheck.int

  let uint = QCheck.(map (fun x -> abs x) int)
end

module Properties = struct
  let commutative f x y = f x y = f y x

  let associative f x y z = f (f x y) z = f x (f y z)

  let neutral_left f elt x = f elt x = x

  let neutral_right f elt x = f x elt = x

  let neutrals f neutral x =
    neutral_right f neutral x && neutral_left f neutral x

  let capped_left f cap x = f cap x = cap

  let capped_right f cap x = f x cap = cap

  let capped f cap x = capped_left f cap x && capped_right f cap x

  let eq_res f oracle x y = f x y = oracle x y

  let absorb_left f absorb x = f absorb x = absorb

  let absorb_right f absorb x = f x absorb = absorb

  let absorbs f absorb x = absorb_left f absorb x && absorb_right f absorb x

  let floored_left f floor x = f floor x = floor

  let floored_right f floor x = f x floor = floor

  let floored f floor x = floored_left f floor x && floored_right f floor x
end