(*
    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 VectorSpace
open Ring

module type IntValue = sig val x: int end

module type Vector = sig
  type ft
  type t = ft array
  
  include VectorSpace with type ft := ft and type t := t

  (* Args    : x *)
  (* Returns : v, the vector whose coefficients are the elements of x *)
  val make: ft array -> t
  (* Args    : f, x *)
  (* Returns : v, the vector whose coefficients are the elements of x mapped by f *)
  val make_of: ('a -> ft) -> 'a array -> t

  (* Args    : x, y *)
  (* Returns : z, the dot product of x and y *)
  val dot: t -> t -> ft
end


module MakeVector (R : Ring) (Size : IntValue) :
  Vector with type ft = R.t
