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include Z

let initial = zero

let next = succ

let jump tick z = max initial (add tick z)

let pp = pp_print

let encoding = Data_encoding.n

let distance tick1 tick2 = Z.abs (Z.sub tick1 tick2)

let of_int x = if Compare.Int.(x < 0) then None else Some (Z.of_int x)

let to_int x = if Z.fits_int x then Some (Z.to_int x) else None

let of_z x = x

let to_z x = x

let of_number_of_ticks x =
  Z.of_int64 (Sc_rollup_repr.Number_of_ticks.to_value x)

let ( <= ) = leq

let ( < ) = lt

let ( >= ) = geq

let ( > ) = gt

let ( = ) = equal

let ( <> ) x y = not (x = y)

let size_in_bytes tick =
  (* Same definition as in {!Michelson_v1_gas}. *)
  let bits = numbits tick in
  (7 + bits) / 8

module Map = Map.Make (Z)