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+(************************************************************************)
+(* v * The Coq Proof Assistant / The Coq Development Team *)
+(* <O___,, * CNRS-Ecole Polytechnique-INRIA Futurs-Universite Paris Sud *)
+(* \VV/ **************************************************************)
+(* // * This file is distributed under the terms of the *)
+(* * GNU Lesser General Public License Version 2.1 *)
+(************************************************************************)
+
+(* Building recursive polynom operations from a type of coefficients *)
+
+module type Coef = sig
+ type t
+ val equal : t -> t -> bool
+ val lt : t -> t -> bool
+ val le : t -> t -> bool
+ val abs : t -> t
+ val plus : t -> t -> t
+ val mult : t -> t -> t
+ val sub : t -> t -> t
+ val opp : t -> t
+ val div : t -> t -> t
+ val modulo : t -> t -> t
+ val puis : t -> int -> t
+ val pgcd : t -> t -> t
+
+ val hash : t -> int
+ val of_num : Num.num -> t
+ val to_string : t -> string
+end
+
+module type S = sig
+ type coef
+ type variable = int
+ type t = Pint of coef | Prec of variable * t array
+
+ val of_num : Num.num -> t
+ val x : variable -> t
+ val monome : variable -> int -> t
+ val is_constantP : t -> bool
+ val is_zero : t -> bool
+
+ val max_var_pol : t -> variable
+ val max_var_pol2 : t -> variable
+ val max_var : t array -> variable
+ val equal : t -> t -> bool
+ val norm : t -> t
+ val deg : variable -> t -> int
+ val deg_total : t -> int
+ val copyP : t -> t
+ val coef : variable -> int -> t -> t
+
+ val plusP : t -> t -> t
+ val content : t -> coef
+ val div_int : t -> coef -> t
+ val vire_contenu : t -> t
+ val vars : t -> variable list
+ val int_of_Pint : t -> coef
+ val multx : int -> variable -> t -> t
+ val multP : t -> t -> t
+ val deriv : variable -> t -> t
+ val oppP : t -> t
+ val moinsP : t -> t -> t
+ val puisP : t -> int -> t
+ val ( @@ ) : t -> t -> t
+ val ( -- ) : t -> t -> t
+ val ( ^^ ) : t -> int -> t
+ val coefDom : variable -> t -> t
+ val coefConst : variable -> t -> t
+ val remP : variable -> t -> t
+ val coef_int_tete : t -> coef
+ val normc : t -> t
+ val coef_constant : t -> coef
+ val univ : bool ref
+ val string_of_var : int -> string
+ val nsP : int ref
+ val to_string : t -> string
+ val printP : t -> unit
+ val print_tpoly : t array -> unit
+ val print_lpoly : t list -> unit
+ val quo_rem_pol : t -> t -> variable -> t * t
+ val div_pol : t -> t -> variable -> t
+ val divP : t -> t -> t
+ val div_pol_rat : t -> t -> bool
+ val pseudo_div : t -> t -> variable -> t * t * int * t
+ val pgcdP : t -> t -> t
+ val pgcd_pol : t -> t -> variable -> t
+ val content_pol : t -> variable -> t
+ val pgcd_coef_pol : t -> t -> variable -> t
+ val pgcd_pol_rec : t -> t -> variable -> t
+ val gcd_sub_res : t -> t -> variable -> t
+ val gcd_sub_res_rec : t -> t -> t -> t -> int -> variable -> t
+ val lazard_power : t -> t -> int -> variable -> t
+ val hash : t -> int
+ module Hashpol : Hashtbl.S with type key=t
+end
+
+module Make (C:Coef) : S with type coef = C.t