(*
    OCaml-algebra - an algebra system written in OCaml.
    Copyright (C) 2015  G. Endignoux

    This program is free software: you can redistribute it and/or modify
    it under the terms of the GNU General Public License as published by
    the Free Software Foundation, either version 3 of the License, or
    (at your option) any later version.

    This program is distributed in the hope that it will be useful,
    but WITHOUT ANY WARRANTY; without even the implied warranty of
    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
    GNU General Public License for more details.

    You should have received a copy of the GNU General Public License
    along with this program.  If not, see http://www.gnu.org/licenses/gpl-3.0.txt
*)

open EuclidianRing
open Field

module type Fractional = sig
  type rt
  include Field with type t = rt * rt
  
  (* Args    : x, y *)
  (* Returns : z = xx/yy, such that : *)
  (*               xx is the canonical representation of x in the fractional field *)
  (*               yy is the canonical representation of y in the fractional field *)
  val make: rt -> rt -> t
  (* Args    : x, y *)
  (* Returns : z = xx/yy, such that : *)
  (*               xx is the canonical representation of x in the fractional field *)
  (*               yy is the canonical representation of y in the fractional field *)
  val make_of_int: int -> int -> t
end

module MakeFractional (R : EuclidianRing) :
  Fractional with type rt = R.t
