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|
(************************************************************************)
(* * The Coq Proof Assistant / The Coq Development Team *)
(* v * INRIA, CNRS and contributors - Copyright 1999-2018 *)
(* <O___,, * (see CREDITS file for the list of authors) *)
(* \VV/ **************************************************************)
(* // * This file is distributed under the terms of the *)
(* * GNU Lesser General Public License Version 2.1 *)
(* * (see LICENSE file for the text of the license) *)
(************************************************************************)
open Sorts
open Names
open Constr
open Univ
type univ_unique_id = int
(* Generator of levels *)
let new_univ_id, set_remote_new_univ_id =
RemoteCounter.new_counter ~name:"Universes" 0 ~incr:((+) 1)
~build:(fun n -> n)
let new_univ_global () =
Univ.Level.UGlobal.make (Global.current_dirpath ()) (new_univ_id ())
let fresh_level () =
Univ.Level.make (new_univ_global ())
(* TODO: remove *)
let new_univ () = Univ.Universe.make (fresh_level ())
let new_Type () = mkType (new_univ ())
let new_Type_sort () = Type (new_univ ())
let fresh_instance auctx =
let inst = Array.init (AUContext.size auctx) (fun _ -> fresh_level()) in
let ctx = Array.fold_right LSet.add inst LSet.empty in
let inst = Instance.of_array inst in
inst, (ctx, AUContext.instantiate inst auctx)
let existing_instance ?loc auctx inst =
let () =
let len1 = Array.length (Instance.to_array inst)
and len2 = AUContext.size auctx in
if not (len1 == len2) then
CErrors.user_err ?loc ~hdr:"Universes"
Pp.(str "Universe instance should have length " ++ int len2 ++ str ".")
else ()
in
inst, (LSet.empty, AUContext.instantiate inst auctx)
let fresh_instance_from ?loc ctx = function
| Some inst -> existing_instance ?loc ctx inst
| None -> fresh_instance ctx
(** Fresh universe polymorphic construction *)
open Globnames
let fresh_global_instance ?loc ?names env gr =
let auctx = Environ.universes_of_global env gr in
let u, ctx = fresh_instance_from ?loc auctx names in
u, ctx
let fresh_constant_instance env c =
let u, ctx = fresh_global_instance env (ConstRef c) in
(c, u), ctx
let fresh_inductive_instance env ind =
let u, ctx = fresh_global_instance env (IndRef ind) in
(ind, u), ctx
let fresh_constructor_instance env c =
let u, ctx = fresh_global_instance env (ConstructRef c) in
(c, u), ctx
let fresh_global_instance ?loc ?names env gr =
let u, ctx = fresh_global_instance ?loc ?names env gr in
mkRef (gr, u), ctx
let constr_of_monomorphic_global gr =
if not (Global.is_polymorphic gr) then
fst (fresh_global_instance (Global.env ()) gr)
else CErrors.user_err ~hdr:"constr_of_global"
Pp.(str "globalization of polymorphic reference " ++ Nametab.pr_global_env Id.Set.empty gr ++
str " would forget universes.")
let constr_of_global gr = constr_of_monomorphic_global gr
let constr_of_global_univ = mkRef
let fresh_global_or_constr_instance env = function
| IsConstr c -> c, ContextSet.empty
| IsGlobal gr -> fresh_global_instance env gr
let global_of_constr c =
match kind c with
| Const (c, u) -> ConstRef c, u
| Ind (i, u) -> IndRef i, u
| Construct (c, u) -> ConstructRef c, u
| Var id -> VarRef id, Instance.empty
| _ -> raise Not_found
open Declarations
let type_of_reference env r =
match r with
| VarRef id -> Environ.named_type id env, ContextSet.empty
| ConstRef c ->
let cb = Environ.lookup_constant c env in
let ty = cb.const_type in
let auctx = Declareops.constant_polymorphic_context cb in
let inst, ctx = fresh_instance auctx in
Vars.subst_instance_constr inst ty, ctx
| IndRef ind ->
let (mib, _ as specif) = Inductive.lookup_mind_specif env ind in
let auctx = Declareops.inductive_polymorphic_context mib in
let inst, ctx = fresh_instance auctx in
let ty = Inductive.type_of_inductive env (specif, inst) in
ty, ctx
| ConstructRef (ind,_ as cstr) ->
let (mib,_ as specif) = Inductive.lookup_mind_specif env ind in
let auctx = Declareops.inductive_polymorphic_context mib in
let inst, ctx = fresh_instance auctx in
Inductive.type_of_constructor (cstr,inst) specif, ctx
let type_of_global t = type_of_reference (Global.env ()) t
let fresh_sort_in_family = function
| InProp -> Sorts.prop, ContextSet.empty
| InSet -> Sorts.set, ContextSet.empty
| InType ->
let u = fresh_level () in
Type (Univ.Universe.make u), ContextSet.singleton u
let new_sort_in_family sf =
fst (fresh_sort_in_family sf)
let extend_context = Univ.extend_in_context_set
let new_global_univ () =
let u = fresh_level () in
(Univ.Universe.make u, ContextSet.singleton u)
let fresh_universe_context_set_instance ctx =
if ContextSet.is_empty ctx then LMap.empty, ctx
else
let (univs, cst) = ContextSet.levels ctx, ContextSet.constraints ctx in
let univs',subst = LSet.fold
(fun u (univs',subst) ->
let u' = fresh_level () in
(LSet.add u' univs', LMap.add u u' subst))
univs (LSet.empty, LMap.empty)
in
let cst' = subst_univs_level_constraints subst cst in
subst, (univs', cst')
|
