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|
(************************************************************************)
(* v * The Coq Proof Assistant / The Coq Development Team *)
(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2016 *)
(* \VV/ **************************************************************)
(* // * This file is distributed under the terms of the *)
(* * GNU Lesser General Public License Version 2.1 *)
(************************************************************************)
(* Author: Jean-Christophe Filliâtre as part of the rebuilding of Coq
around a purely functional abstract type-checker, Aug 1999 *)
(* Cleaning and lightening of the kernel by Bruno Barras, Nov 2001 *)
(* Flag for predicativity of Set by Hugo Herbelin in Oct 2003 *)
(* Support for virtual machine by Benjamin Grégoire in Oct 2004 *)
(* Support for retroknowledge by Arnaud Spiwack in May 2007 *)
(* Support for assumption dependencies by Arnaud Spiwack in May 2007 *)
(* Miscellaneous maintenance by Bruno Barras, Hugo Herbelin, Jean-Marc
Notin, Matthieu Sozeau *)
(* This file defines the type of environments on which the
type-checker works, together with simple related functions *)
open CErrors
open Util
open Names
open Term
open Vars
open Declarations
open Pre_env
open Context.Rel.Declaration
(* The type of environments. *)
type named_context_val = Pre_env.named_context_val
type env = Pre_env.env
let pre_env env = env
let env_of_pre_env env = env
let oracle env = env.env_conv_oracle
let set_oracle env o = { env with env_conv_oracle = o }
let empty_named_context_val = empty_named_context_val
let empty_env = empty_env
let engagement env = env.env_stratification.env_engagement
let typing_flags env = env.env_typing_flags
let is_impredicative_set env =
match engagement env with
| ImpredicativeSet -> true
| _ -> false
let type_in_type env = not (typing_flags env).check_universes
let deactivated_guard env = not (typing_flags env).check_guarded
let universes env = env.env_stratification.env_universes
let named_context env = env.env_named_context.env_named_ctx
let named_context_val env = env.env_named_context
let rel_context env = env.env_rel_context
let opaque_tables env = env.indirect_pterms
let set_opaque_tables env indirect_pterms = { env with indirect_pterms }
let empty_context env =
match env.env_rel_context, env.env_named_context.env_named_ctx with
| [], [] -> true
| _ -> false
(* Rel context *)
let lookup_rel n env =
Context.Rel.lookup n env.env_rel_context
let evaluable_rel n env =
is_local_def (lookup_rel n env)
let nb_rel env = env.env_nb_rel
let push_rel = push_rel
let push_rel_context ctxt x = Context.Rel.fold_outside push_rel ctxt ~init:x
let push_rec_types (lna,typarray,_) env =
let ctxt = Array.map2_i (fun i na t -> LocalAssum (na, lift i t)) lna typarray in
Array.fold_left (fun e assum -> push_rel assum e) env ctxt
let fold_rel_context f env ~init =
let rec fold_right env =
match env.env_rel_context with
| [] -> init
| rd::rc ->
let env =
{ env with
env_rel_context = rc;
env_rel_val = List.tl env.env_rel_val;
env_nb_rel = env.env_nb_rel - 1 } in
f env rd (fold_right env)
in fold_right env
(* Named context *)
let named_context_of_val c = c.env_named_ctx
(* [map_named_val f ctxt] apply [f] to the body and the type of
each declarations.
*** /!\ *** [f t] should be convertible with t *)
let map_named_val = map_named_val
let empty_named_context = Context.Named.empty
let push_named = push_named
let push_named_context = List.fold_right push_named
let push_named_context_val = push_named_context_val
let val_of_named_context ctxt =
List.fold_right push_named_context_val ctxt empty_named_context_val
let lookup_named = lookup_named
let lookup_named_val id ctxt = fst (Id.Map.find id ctxt.env_named_map)
let eq_named_context_val c1 c2 =
c1 == c2 || Context.Named.equal (named_context_of_val c1) (named_context_of_val c2)
(* A local const is evaluable if it is defined *)
open Context.Named.Declaration
let named_type id env =
get_type (lookup_named id env)
let named_body id env =
get_value (lookup_named id env)
let evaluable_named id env =
match named_body id env with
| Some _ -> true
| _ -> false
let reset_with_named_context ctxt env =
{ env with
env_named_context = ctxt;
env_rel_context = Context.Rel.empty;
env_rel_val = [];
env_nb_rel = 0 }
let reset_context = reset_with_named_context empty_named_context_val
let pop_rel_context n env =
let ctxt = env.env_rel_context in
{ env with
env_rel_context = List.skipn n ctxt;
env_nb_rel = env.env_nb_rel - n }
let fold_named_context f env ~init =
let rec fold_right env =
match match_named_context_val env.env_named_context with
| None -> init
| Some (d, v, rem) ->
let env =
reset_with_named_context rem env in
f env d (fold_right env)
in fold_right env
let fold_named_context_reverse f ~init env =
Context.Named.fold_inside f ~init:init (named_context env)
(* Universe constraints *)
let map_universes f env =
let s = env.env_stratification in
{ env with env_stratification =
{ s with env_universes = f s.env_universes } }
let add_constraints c env =
if Univ.Constraint.is_empty c then env
else map_universes (UGraph.merge_constraints c) env
let check_constraints c env =
UGraph.check_constraints c env.env_stratification.env_universes
let push_constraints_to_env (_,univs) env =
add_constraints univs env
let add_universes strict ctx g =
let g = Array.fold_left
(* Be lenient, module typing reintroduces universes and constraints due to includes *)
(fun g v -> try UGraph.add_universe v strict g with UGraph.AlreadyDeclared -> g)
g (Univ.Instance.to_array (Univ.UContext.instance ctx))
in
UGraph.merge_constraints (Univ.UContext.constraints ctx) g
let push_context ?(strict=false) ctx env =
map_universes (add_universes strict ctx) env
let add_universes_set strict ctx g =
let g = Univ.LSet.fold
(fun v g -> try UGraph.add_universe v strict g with UGraph.AlreadyDeclared -> g)
(Univ.ContextSet.levels ctx) g
in UGraph.merge_constraints (Univ.ContextSet.constraints ctx) g
let push_context_set ?(strict=false) ctx env =
map_universes (add_universes_set strict ctx) env
let set_engagement c env = (* Unsafe *)
{ env with env_stratification =
{ env.env_stratification with env_engagement = c } }
let set_typing_flags c env = (* Unsafe *)
{ env with env_typing_flags = c }
(* Global constants *)
let lookup_constant = lookup_constant
let no_link_info = NotLinked
let add_constant_key kn cb linkinfo env =
let new_constants =
Cmap_env.add kn (cb,(ref linkinfo, ref None)) env.env_globals.env_constants in
let new_globals =
{ env.env_globals with
env_constants = new_constants } in
{ env with env_globals = new_globals }
let add_constant kn cb env =
add_constant_key kn cb no_link_info env
let constraints_of cb u =
let univs = cb.const_universes in
Univ.subst_instance_constraints u (Univ.UContext.constraints univs)
let map_regular_arity f = function
| RegularArity a as ar ->
let a' = f a in
if a' == a then ar else RegularArity a'
| TemplateArity _ -> assert false
(* constant_type gives the type of a constant *)
let constant_type env (kn,u) =
let cb = lookup_constant kn env in
if cb.const_polymorphic then
let csts = constraints_of cb u in
(map_regular_arity (subst_instance_constr u) cb.const_type, csts)
else cb.const_type, Univ.Constraint.empty
let constant_context env kn =
let cb = lookup_constant kn env in
if cb.const_polymorphic then cb.const_universes
else Univ.UContext.empty
type const_evaluation_result = NoBody | Opaque | IsProj
exception NotEvaluableConst of const_evaluation_result
let constant_value env (kn,u) =
let cb = lookup_constant kn env in
if cb.const_proj = None then
match cb.const_body with
| Def l_body ->
if cb.const_polymorphic then
let csts = constraints_of cb u in
(subst_instance_constr u (Mod_subst.force_constr l_body), csts)
else Mod_subst.force_constr l_body, Univ.Constraint.empty
| OpaqueDef _ -> raise (NotEvaluableConst Opaque)
| Undef _ -> raise (NotEvaluableConst NoBody)
else raise (NotEvaluableConst IsProj)
let constant_opt_value env cst =
try Some (constant_value env cst)
with NotEvaluableConst _ -> None
let constant_value_and_type env (kn, u) =
let cb = lookup_constant kn env in
if cb.const_polymorphic then
let cst = constraints_of cb u in
let b' = match cb.const_body with
| Def l_body -> Some (subst_instance_constr u (Mod_subst.force_constr l_body))
| OpaqueDef _ -> None
| Undef _ -> None
in
b', map_regular_arity (subst_instance_constr u) cb.const_type, cst
else
let b' = match cb.const_body with
| Def l_body -> Some (Mod_subst.force_constr l_body)
| OpaqueDef _ -> None
| Undef _ -> None
in b', cb.const_type, Univ.Constraint.empty
(* These functions should be called under the invariant that [env]
already contains the constraints corresponding to the constant
application. *)
(* constant_type gives the type of a constant *)
let constant_type_in env (kn,u) =
let cb = lookup_constant kn env in
if cb.const_polymorphic then
map_regular_arity (subst_instance_constr u) cb.const_type
else cb.const_type
let constant_value_in env (kn,u) =
let cb = lookup_constant kn env in
match cb.const_body with
| Def l_body ->
let b = Mod_subst.force_constr l_body in
subst_instance_constr u b
| OpaqueDef _ -> raise (NotEvaluableConst Opaque)
| Undef _ -> raise (NotEvaluableConst NoBody)
let constant_opt_value_in env cst =
try Some (constant_value_in env cst)
with NotEvaluableConst _ -> None
(* A global const is evaluable if it is defined and not opaque *)
let evaluable_constant kn env =
let cb = lookup_constant kn env in
match cb.const_body with
| Def _ -> true
| OpaqueDef _ -> false
| Undef _ -> false
let polymorphic_constant cst env =
(lookup_constant cst env).const_polymorphic
let polymorphic_pconstant (cst,u) env =
if Univ.Instance.is_empty u then false
else polymorphic_constant cst env
let type_in_type_constant cst env =
not (lookup_constant cst env).const_typing_flags.check_universes
let template_polymorphic_constant cst env =
match (lookup_constant cst env).const_type with
| TemplateArity _ -> true
| RegularArity _ -> false
let template_polymorphic_pconstant (cst,u) env =
if not (Univ.Instance.is_empty u) then false
else template_polymorphic_constant cst env
let lookup_projection cst env =
match (lookup_constant (Projection.constant cst) env).const_proj with
| Some pb -> pb
| None -> anomaly (Pp.str "lookup_projection: constant is not a projection")
let is_projection cst env =
match (lookup_constant cst env).const_proj with
| Some _ -> true
| None -> false
(* Mutual Inductives *)
let lookup_mind = lookup_mind
let polymorphic_ind (mind,i) env =
(lookup_mind mind env).mind_polymorphic
let polymorphic_pind (ind,u) env =
if Univ.Instance.is_empty u then false
else polymorphic_ind ind env
let type_in_type_ind (mind,i) env =
not (lookup_mind mind env).mind_typing_flags.check_universes
let template_polymorphic_ind (mind,i) env =
match (lookup_mind mind env).mind_packets.(i).mind_arity with
| TemplateArity _ -> true
| RegularArity _ -> false
let template_polymorphic_pind (ind,u) env =
if not (Univ.Instance.is_empty u) then false
else template_polymorphic_ind ind env
let add_mind_key kn mind_key env =
let new_inds = Mindmap_env.add kn mind_key env.env_globals.env_inductives in
let new_globals =
{ env.env_globals with
env_inductives = new_inds } in
{ env with env_globals = new_globals }
let add_mind kn mib env =
let li = ref no_link_info in add_mind_key kn (mib, li) env
(* Lookup of section variables *)
let lookup_constant_variables c env =
let cmap = lookup_constant c env in
Context.Named.to_vars cmap.const_hyps
let lookup_inductive_variables (kn,i) env =
let mis = lookup_mind kn env in
Context.Named.to_vars mis.mind_hyps
let lookup_constructor_variables (ind,_) env =
lookup_inductive_variables ind env
(* Returns the list of global variables in a term *)
let vars_of_global env constr =
match kind_of_term constr with
Var id -> Id.Set.singleton id
| Const (kn, _) -> lookup_constant_variables kn env
| Ind (ind, _) -> lookup_inductive_variables ind env
| Construct (cstr, _) -> lookup_constructor_variables cstr env
(** FIXME: is Proj missing? *)
| _ -> raise Not_found
let global_vars_set env constr =
let rec filtrec acc c =
let acc =
match kind_of_term c with
| Var _ | Const _ | Ind _ | Construct _ ->
Id.Set.union (vars_of_global env c) acc
| _ ->
acc in
fold_constr filtrec acc c
in
filtrec Id.Set.empty constr
(* [keep_hyps env ids] keeps the part of the section context of [env] which
contains the variables of the set [ids], and recursively the variables
contained in the types of the needed variables. *)
let really_needed env needed =
Context.Named.fold_inside
(fun need decl ->
if Id.Set.mem (get_id decl) need then
let globc =
match decl with
| LocalAssum _ -> Id.Set.empty
| LocalDef (_,c,_) -> global_vars_set env c in
Id.Set.union
(global_vars_set env (get_type decl))
(Id.Set.union globc need)
else need)
~init:needed
(named_context env)
let keep_hyps env needed =
let really_needed = really_needed env needed in
Context.Named.fold_outside
(fun d nsign ->
if Id.Set.mem (get_id d) really_needed then Context.Named.add d nsign
else nsign)
(named_context env)
~init:empty_named_context
(* Modules *)
let add_modtype mtb env =
let mp = mtb.mod_mp in
let new_modtypes = MPmap.add mp mtb env.env_globals.env_modtypes in
let new_globals = { env.env_globals with env_modtypes = new_modtypes } in
{ env with env_globals = new_globals }
let shallow_add_module mb env =
let mp = mb.mod_mp in
let new_mods = MPmap.add mp mb env.env_globals.env_modules in
let new_globals = { env.env_globals with env_modules = new_mods } in
{ env with env_globals = new_globals }
let lookup_module mp env =
MPmap.find mp env.env_globals.env_modules
let lookup_modtype mp env =
MPmap.find mp env.env_globals.env_modtypes
(*s Judgments. *)
type unsafe_judgment = {
uj_val : constr;
uj_type : types }
let make_judge v tj =
{ uj_val = v;
uj_type = tj }
let j_val j = j.uj_val
let j_type j = j.uj_type
type unsafe_type_judgment = {
utj_val : constr;
utj_type : sorts }
(*s Compilation of global declaration *)
let compile_constant_body = Cbytegen.compile_constant_body false
exception Hyp_not_found
let apply_to_hyp ctxt id f =
let rec aux rtail ctxt =
match match_named_context_val ctxt with
| Some (d, v, ctxt) ->
if Id.equal (get_id d) id then
push_named_context_val_val (f ctxt.env_named_ctx d rtail) v ctxt
else
let ctxt' = aux (d::rtail) ctxt in
push_named_context_val_val d v ctxt'
| None -> raise Hyp_not_found
in aux [] ctxt
(* To be used in Logic.clear_hyps *)
let remove_hyps ids check_context check_value ctxt =
let rec remove_hyps ctxt = match match_named_context_val ctxt with
| None -> empty_named_context_val, false
| Some (d, v, rctxt) ->
let (ans, seen) = remove_hyps rctxt in
if Id.Set.mem (get_id d) ids then (ans, true)
else if not seen then ctxt, false
else
let rctxt' = ans in
let d' = check_context d in
let v' = check_value v in
if d == d' && v == v' && rctxt == rctxt' then
ctxt, true
else push_named_context_val_val d' v' rctxt', true
in
fst (remove_hyps ctxt)
(*spiwack: the following functions assemble the pieces of the retroknowledge
note that the "consistent" register function is available in the module
Safetyping, Environ only synchronizes the proactive and the reactive parts*)
open Retroknowledge
(* lifting of the "get" functions works also for "mem"*)
let retroknowledge f env =
f env.retroknowledge
let registered env field =
retroknowledge mem env field
let register_one env field entry =
{ env with retroknowledge = Retroknowledge.add_field env.retroknowledge field entry }
(* [register env field entry] may register several fields when needed *)
let register env field entry =
match field with
| KInt31 (grp, Int31Type) ->
let i31c = match kind_of_term entry with
| Ind i31t -> mkConstructUi (i31t, 1)
| _ -> anomaly ~label:"Environ.register" (Pp.str "should be an inductive type")
in
register_one (register_one env (KInt31 (grp,Int31Constructor)) i31c) field entry
| field -> register_one env field entry
(* the Environ.register function syncrhonizes the proactive and reactive
retroknowledge. *)
let dispatch =
(* subfunction used for static decompilation of int31 (after a vm_compute,
see pretyping/vnorm.ml for more information) *)
let constr_of_int31 =
let nth_digit_plus_one i n = (* calculates the nth (starting with 0)
digit of i and adds 1 to it
(nth_digit_plus_one 1 3 = 2) *)
if Int.equal (i land (1 lsl n)) 0 then
1
else
2
in
fun ind -> fun digit_ind -> fun tag ->
let array_of_int i =
Array.init 31 (fun n -> mkConstruct
(digit_ind, nth_digit_plus_one i (30-n)))
in
(* We check that no bit above 31 is set to one. This assertion used to
fail in the VM, and led to conversion tests failing at Qed. *)
assert (Int.equal (tag lsr 31) 0);
mkApp(mkConstruct(ind, 1), array_of_int tag)
in
(* subfunction which dispatches the compiling information of an
int31 operation which has a specific vm instruction (associates
it to the name of the coq definition in the reactive retroknowledge) *)
let int31_op n op prim kn =
{ empty_reactive_info with
vm_compiling = Some (Cbytegen.op_compilation n op kn);
native_compiling = Some (Nativelambda.compile_prim prim (Univ.out_punivs kn));
}
in
fun rk value field ->
(* subfunction which shortens the (very common) dispatch of operations *)
let int31_op_from_const n op prim =
match kind_of_term value with
| Const kn -> int31_op n op prim kn
| _ -> anomaly ~label:"Environ.register" (Pp.str "should be a constant")
in
let int31_binop_from_const op prim = int31_op_from_const 2 op prim in
let int31_unop_from_const op prim = int31_op_from_const 1 op prim in
match field with
| KInt31 (grp, Int31Type) ->
let int31bit =
(* invariant : the type of bits is registered, otherwise the function
would raise Not_found. The invariant is enforced in safe_typing.ml *)
match field with
| KInt31 (grp, Int31Type) -> Retroknowledge.find rk (KInt31 (grp,Int31Bits))
| _ -> anomaly ~label:"Environ.register"
(Pp.str "add_int31_decompilation_from_type called with an abnormal field")
in
let i31bit_type =
match kind_of_term int31bit with
| Ind (i31bit_type,_) -> i31bit_type
| _ -> anomaly ~label:"Environ.register"
(Pp.str "Int31Bits should be an inductive type")
in
let int31_decompilation =
match kind_of_term value with
| Ind (i31t,_) ->
constr_of_int31 i31t i31bit_type
| _ -> anomaly ~label:"Environ.register"
(Pp.str "should be an inductive type")
in
{ empty_reactive_info with
vm_decompile_const = Some int31_decompilation;
vm_before_match = Some Cbytegen.int31_escape_before_match;
native_before_match = Some (Nativelambda.before_match_int31 i31bit_type);
}
| KInt31 (_, Int31Constructor) ->
{ empty_reactive_info with
vm_constant_static = Some Cbytegen.compile_structured_int31;
vm_constant_dynamic = Some Cbytegen.dynamic_int31_compilation;
native_constant_static = Some Nativelambda.compile_static_int31;
native_constant_dynamic = Some Nativelambda.compile_dynamic_int31;
}
| KInt31 (_, Int31Plus) -> int31_binop_from_const Cbytecodes.Kaddint31
Primitives.Int31add
| KInt31 (_, Int31PlusC) -> int31_binop_from_const Cbytecodes.Kaddcint31
Primitives.Int31addc
| KInt31 (_, Int31PlusCarryC) -> int31_binop_from_const Cbytecodes.Kaddcarrycint31
Primitives.Int31addcarryc
| KInt31 (_, Int31Minus) -> int31_binop_from_const Cbytecodes.Ksubint31
Primitives.Int31sub
| KInt31 (_, Int31MinusC) -> int31_binop_from_const Cbytecodes.Ksubcint31
Primitives.Int31subc
| KInt31 (_, Int31MinusCarryC) -> int31_binop_from_const
Cbytecodes.Ksubcarrycint31 Primitives.Int31subcarryc
| KInt31 (_, Int31Times) -> int31_binop_from_const Cbytecodes.Kmulint31
Primitives.Int31mul
| KInt31 (_, Int31TimesC) -> int31_binop_from_const Cbytecodes.Kmulcint31
Primitives.Int31mulc
| KInt31 (_, Int31Div21) -> int31_op_from_const 3 Cbytecodes.Kdiv21int31
Primitives.Int31div21
| KInt31 (_, Int31Diveucl) -> int31_binop_from_const Cbytecodes.Kdivint31
Primitives.Int31diveucl
| KInt31 (_, Int31AddMulDiv) -> int31_op_from_const 3 Cbytecodes.Kaddmuldivint31
Primitives.Int31addmuldiv
| KInt31 (_, Int31Compare) -> int31_binop_from_const Cbytecodes.Kcompareint31
Primitives.Int31compare
| KInt31 (_, Int31Head0) -> int31_unop_from_const Cbytecodes.Khead0int31
Primitives.Int31head0
| KInt31 (_, Int31Tail0) -> int31_unop_from_const Cbytecodes.Ktail0int31
Primitives.Int31tail0
| KInt31 (_, Int31Lor) -> int31_binop_from_const Cbytecodes.Klorint31
Primitives.Int31lor
| KInt31 (_, Int31Land) -> int31_binop_from_const Cbytecodes.Klandint31
Primitives.Int31land
| KInt31 (_, Int31Lxor) -> int31_binop_from_const Cbytecodes.Klxorint31
Primitives.Int31lxor
| _ -> empty_reactive_info
let _ = Hook.set Retroknowledge.dispatch_hook dispatch
|