open Pp
open Util
open Names
open Term
open Inductive
open Reduction
open Typeops
open Indtypes
open Modops
open Subtyping
open Declarations
open Environ

(************************************************************************)
(* Checking constants *)

let refresh_arity ar =
  let ctxt, hd = decompose_prod_assum ar in
  match hd with
      Sort (Type u) when not (Univ.is_univ_variable u) ->
        let u' = Univ.fresh_local_univ() in
        mkArity (ctxt,Type u'),
        Univ.enforce_geq u' u Univ.empty_constraint
    | _ -> ar, Univ.empty_constraint

let check_constant_declaration env kn cb =
  Flags.if_verbose msgnl (str "  checking cst: " ++ prcon kn);
(*  let env = add_constraints cb.const_constraints env in*)
  let env' = check_named_ctxt env cb.const_hyps in
  (match cb.const_type with
      NonPolymorphicType ty ->
        let ty, cu = refresh_arity ty in
        let envty = add_constraints cu env' in
        let _ = infer_type envty ty in
        (match body_of_constant cb with
          | Some bd ->
              let j = infer env' (force_constr bd) in
              conv_leq envty j ty
          | None -> ())
    | PolymorphicArity(ctxt,par) ->
        let _ = check_ctxt env ctxt in
        check_polymorphic_arity env ctxt par);
  add_constant kn cb env

(************************************************************************)
(* Checking modules *)


exception Not_path

let path_of_mexpr = function
  | SEBident mp -> mp
  | _ -> raise Not_path

let is_modular = function
  | SFBmodule _ | SFBmodtype _ -> true
  | SFBconst _ | SFBmind _ -> false

let rec list_split_assoc ((k,m) as km) rev_before = function
  | [] -> raise Not_found
  | (k',b)::after when k=k' && is_modular b = m -> rev_before,b,after
  | h::tail -> list_split_assoc km (h::rev_before) tail

let check_definition_sub env cb1 cb2 =
  let check_type env t1 t2 =

    (* If the type of a constant is generated, it may mention
       non-variable algebraic universes that the general conversion
       algorithm is not ready to handle. Anyway, generated types of
       constants are functions of the body of the constant. If the
       bodies are the same in environments that are subtypes one of
       the other, the types are subtypes too (i.e. if Gamma <= Gamma',
       Gamma |- A |> T, Gamma |- A' |> T' and Gamma |- A=A' then T <= T').
       Hence they don't have to be checked again *)

    let t1,t2 =
      if isArity t2 then
        let (ctx2,s2) = destArity t2 in
        match s2 with
        | Type v when not (Univ.is_univ_variable v) ->
          (* The type in the interface is inferred and is made of algebraic
             universes *)
          begin try
            let (ctx1,s1) = dest_arity env t1 in
            match s1 with
            | Type u when not (Univ.is_univ_variable u) ->
              (* Both types are inferred, no need to recheck them. We
                 cheat and collapse the types to Prop *)
                mkArity (ctx1,Prop Null), mkArity (ctx2,Prop Null)
            | Prop _ ->
              (* The type in the interface is inferred, it may be the case
                 that the type in the implementation is smaller because
                 the body is more reduced. We safely collapse the upper
                 type to Prop *)
                mkArity (ctx1,Prop Null), mkArity (ctx2,Prop Null)
            | Type _ ->
              (* The type in the interface is inferred and the type in the
                 implementation is not inferred or is inferred but from a
                 more reduced body so that it is just a variable. Since
                 constraints of the form "univ <= max(...)" are not
                 expressible in the system of algebraic universes: we fail
                 (the user has to use an explicit type in the interface *)
                raise Reduction.NotConvertible
          with UserError _ (* "not an arity" *) ->
            raise Reduction.NotConvertible end
        | _ -> t1,t2
      else
        (t1,t2) in
    Reduction.conv_leq env t1 t2
  in
  assert (cb1.const_hyps=[] && cb2.const_hyps=[]) ;
  (*Start by checking types*)
  let typ1 = Typeops.type_of_constant_type env cb1.const_type in
  let typ2 = Typeops.type_of_constant_type env cb2.const_type in
  check_type env typ1 typ2;
  (* In the spirit of subtyping.check_constant, we accept
     any implementations of parameters and opaques terms,
     as long as they have the right type *)
  (match cb2.const_body with
    | Undef _ | OpaqueDef _ -> ()
    | Def lc2 ->
	(match cb1.const_body with
	  | Def lc1 ->
	    let c1 = force_constr lc1 in
            let c2 = force_constr lc2 in
	    Reduction.conv env c1 c2
	  (* Coq only places transparent cb in With_definition_body *)
	  | _ -> assert false))

let lookup_modtype mp env =
  try Environ.lookup_modtype mp env
  with Not_found ->
    failwith ("Unknown module type: "^string_of_mp mp)

let rec check_with env mtb with_decl mp=
  match with_decl with
    | With_definition_body (idl,c) ->
	check_with_def env mtb (idl,c) mp;
	mtb
    | With_module_body (idl,mp1) ->
	check_with_mod env mtb (idl,mp1) mp;
	mtb

and check_with_def env mtb (idl,c) mp =
  let sig_b = match mtb with
    | SEBstruct(sig_b) ->
	sig_b
    | _ -> error_signature_expected mtb
  in
  let id,idl = match idl with
    | [] -> assert false
    | id::idl -> id,idl
  in
  let l = label_of_id id in
    try
      let rev_before,spec,after = list_split_assoc (l,(idl<>[])) [] sig_b in
      let before = List.rev rev_before in
      let env' = Modops.add_signature mp before empty_delta_resolver env in
      if idl = [] then
	      let cb = match spec with
		  SFBconst cb -> cb
		| _ -> error_not_a_constant l
	      in
              check_definition_sub env' c cb
      else
	      let old = match spec with
		  SFBmodule msb -> msb
		| _ -> error_not_a_module l
	      in
		begin
		  match old.mod_expr with
                    | None ->
		        check_with_def env' old.mod_type (idl,c) (MPdot(mp,l))
                    | Some msb ->
			error_a_generative_module_expected l
		end
    with
	Not_found -> error_no_such_label l
      | Reduction.NotConvertible -> error_with_incorrect l

and check_with_mod env mtb (idl,mp1) mp =
  let sig_b =
    match mtb with
    | SEBstruct(sig_b) ->
	sig_b
    | _ -> error_signature_expected mtb in
  let id,idl = match idl with
    | [] -> assert false
    | id::idl -> id,idl
  in
  let l = label_of_id id in
    try
      let rev_before,spec,after = list_split_assoc (l,false) [] sig_b in
      let before = List.rev rev_before in
      let env' = Modops.add_signature mp before empty_delta_resolver env in
      if idl = [] then
	      let _ = match spec with
		  SFBmodule msb -> msb
		| _ -> error_not_a_module l
	      in
	      let (_:module_body) = (lookup_module mp1 env) in ()
      else
	    let old = match spec with
		SFBmodule msb -> msb
	      | _ -> error_not_a_module l
	    in
	      begin
		match old.mod_expr with
                    None ->
		      check_with_mod env'
			  old.mod_type (idl,mp1) (MPdot(mp,l))
                  | Some msb ->
                      error_a_generative_module_expected l
              end
    with
	Not_found -> error_no_such_label l
      | Reduction.NotConvertible -> error_with_incorrect l

and check_module_type env mty =
  let (_:struct_expr_body) =
    check_modtype env mty.typ_expr mty.typ_mp mty.typ_delta in
  ()

							 
and check_module env mp mb =
  match mb.mod_expr, mb.mod_type with
    | None,mtb -> 
	let (_:struct_expr_body) =
	  check_modtype env mtb mb.mod_mp mb.mod_delta in ()
    | Some mexpr, mtb when mtb==mexpr ->
	let (_:struct_expr_body) =
	  check_modtype env mtb mb.mod_mp mb.mod_delta in ()
    | Some mexpr, _ ->
	let sign = check_modexpr env mexpr mb.mod_mp mb.mod_delta in
	let (_:struct_expr_body) =
	  check_modtype env mb.mod_type mb.mod_mp mb.mod_delta in
	let mtb1 =
	  {typ_mp=mp;
	   typ_expr=sign;
	   typ_expr_alg=None;
	   typ_constraints=Univ.empty_constraint;
	   typ_delta = mb.mod_delta;}
	and mtb2 =
	  {typ_mp=mp;
	   typ_expr=mb.mod_type;
	   typ_expr_alg=None;
	   typ_constraints=Univ.empty_constraint;
	   typ_delta = mb.mod_delta;}
	in
	let env = add_module (module_body_of_type mp mtb1) env in
	check_subtypes env mtb1 mtb2

and check_structure_field env mp lab res = function
  | SFBconst cb ->
      let c = make_con mp empty_dirpath lab in
	check_constant_declaration env c cb
  | SFBmind mib ->
      let kn = make_mind mp empty_dirpath lab in
      let kn = mind_of_delta res kn in
	Indtypes.check_inductive env kn mib
  | SFBmodule msb ->
      let (_:unit) = check_module env (MPdot(mp,lab)) msb in
	Modops.add_module msb env
  | SFBmodtype mty ->
      check_module_type env mty;
      add_modtype (MPdot(mp,lab)) mty env
	
and check_modexpr env mse mp_mse res = match mse with
  | SEBident mp ->
      let mb = lookup_module mp env in
      (subst_and_strengthen mb mp_mse).mod_type
  | SEBfunctor (arg_id, mtb, body) ->
      check_module_type env mtb ;
      let env' = add_module (module_body_of_type (MPbound arg_id) mtb) env in
      let sign = check_modexpr env' body mp_mse res in
	SEBfunctor (arg_id, mtb, sign)
  | SEBapply (f,m,cst) ->
      let sign = check_modexpr env f mp_mse res in
      let farg_id, farg_b, fbody_b = destr_functor env sign in
      let mp =
	try (path_of_mexpr m)
	with Not_path -> error_application_to_not_path m
	  (* place for nondep_supertype *) in
      let mtb = module_type_of_module (Some mp) (lookup_module mp env) in
	check_subtypes env mtb farg_b;
	(subst_struct_expr (map_mbid farg_id mp) fbody_b)
  | SEBwith(mte, with_decl) ->
      let sign = check_modexpr env mte mp_mse res in
      let sign = check_with env sign with_decl mp_mse in 
	sign
  | SEBstruct(msb) ->
      let (_:env) = List.fold_left (fun env (lab,mb) ->
		   check_structure_field env mp_mse lab res mb) env msb in
	SEBstruct(msb)
	
and check_modtype env mse mp_mse res = match mse with
  | SEBident mp ->
      let mtb = lookup_modtype mp env in
	mtb.typ_expr
  | SEBfunctor (arg_id, mtb, body) ->
      check_module_type env mtb;
      let env' = add_module (module_body_of_type (MPbound arg_id) mtb) env in
      let body = check_modtype env' body mp_mse res in
	SEBfunctor(arg_id,mtb,body)
  | SEBapply (f,m,cst) ->
      let sign = check_modtype env f mp_mse res in
      let farg_id, farg_b, fbody_b = destr_functor env sign in
      let mp =
	try (path_of_mexpr m)
	with Not_path -> error_application_to_not_path m
	  (* place for nondep_supertype *) in
      let mtb = module_type_of_module (Some mp) (lookup_module mp env) in
	check_subtypes env mtb farg_b;
	subst_struct_expr (map_mbid farg_id mp) fbody_b
  | SEBwith(mte, with_decl) ->
      let sign = check_modtype env mte mp_mse res in
      let sign = check_with env sign with_decl mp_mse in
	sign
  | SEBstruct(msb) ->
      let (_:env) = List.fold_left (fun env (lab,mb) ->
		   check_structure_field env mp_mse lab res mb) env msb in
      SEBstruct(msb)
	
(*
  let rec add_struct_expr_constraints env = function
  | SEBident _ -> env
  
  | SEBfunctor (_,mtb,meb) ->
  add_struct_expr_constraints
  (add_modtype_constraints env mtb) meb

  | SEBstruct (_,structure_body) ->
      List.fold_left
        (fun env (l,item) -> add_struct_elem_constraints env item)
        env
        structure_body

  | SEBapply (meb1,meb2,cst) ->
(*  let g = Univ.merge_constraints cst Univ.initial_universes in
msgnl(str"ADDING FUNCTOR APPLICATION CONSTRAINTS:"++fnl()++
      Univ.pr_universes g++str"============="++fnl());
*)
      Environ.add_constraints cst
        (add_struct_expr_constraints
	  (add_struct_expr_constraints env meb1)
	  meb2)
  | SEBwith(meb,With_definition_body(_,cb))->
      Environ.add_constraints cb.const_constraints
	(add_struct_expr_constraints env meb)
  | SEBwith(meb,With_module_body(_,_,cst))->
      Environ.add_constraints cst
	(add_struct_expr_constraints env meb)

and add_struct_elem_constraints env = function
  | SFBconst cb -> Environ.add_constraints cb.const_constraints env
  | SFBmind mib -> Environ.add_constraints mib.mind_constraints env
  | SFBmodule mb -> add_module_constraints env mb
  | SFBalias (mp,Some cst) -> Environ.add_constraints cst env
  | SFBalias (mp,None) -> env
  | SFBmodtype mtb -> add_modtype_constraints env mtb

and add_module_constraints env mb =
  let env = match mb.mod_expr with
    | None -> env
    | Some meb -> add_struct_expr_constraints env meb
  in
  let env = match mb.mod_type with
    | None -> env
    | Some mtb ->
	add_struct_expr_constraints env mtb
  in
    Environ.add_constraints mb.mod_constraints env

and add_modtype_constraints env mtb =
  add_struct_expr_constraints env mtb.typ_expr
*)