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>               *)
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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