Source file classes.ml
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module CVars = Vars
open Names
open EConstr
open CErrors
open Util
open Typeclasses_errors
open Typeclasses
open Libnames
open Globnames
open Constrintern
open Constrexpr
open Context.Rel.Declaration
open Class_tactics
open Libobject
module RelDecl = Context.Rel.Declaration
module NamedDecl = Context.Named.Declaration
let set_typeclass_transparency c local b =
let locality = if local then Goptions.OptLocal else Goptions.OptGlobal in
Hints.add_hints ~locality [typeclasses_db]
(Hints.HintsTransparencyEntry (Hints.HintsReferences [c], b))
let classes_transparent_state () =
try
Hints.Hint_db.transparent_state (Hints.searchtable_map typeclasses_db)
with Not_found -> TransparentState.empty
let () =
Hook.set Typeclasses.classes_transparent_state_hook classes_transparent_state
let add_instance_hint inst path ~locality info =
Flags.silently (fun () ->
Hints.add_hints ~locality [typeclasses_db]
(Hints.HintsResolveEntry
[info, false, Hints.PathHints path, inst])) ()
type instance_locality =
| InstGlobal
| InstExport
| InstLocal
type instance_obj = {
inst_class : GlobRef.t;
inst_info: hint_info;
inst_global: instance_locality;
inst_impl: GlobRef.t;
}
let add_instance_base inst =
let locality = match inst.inst_global with
| InstLocal -> Goptions.OptLocal
| InstGlobal ->
if Global.sections_are_opened () then Goptions.OptLocal
else Goptions.OptGlobal
| InstExport ->
if Global.sections_are_opened () then Goptions.OptLocal
else Goptions.OptExport
in
add_instance_hint (Hints.hint_globref inst.inst_impl) [inst.inst_impl] ~locality
inst.inst_info
let perform_instance i =
let i = { is_class = i.inst_class; is_info = i.inst_info; is_impl = i.inst_impl } in
Typeclasses.load_instance i
let cache_instance (_, inst) = perform_instance inst
let load_instance _ (_, inst) = match inst.inst_global with
| InstLocal -> assert false
| InstGlobal -> perform_instance inst
| InstExport -> ()
let open_instance i (_, inst) = match inst.inst_global with
| InstLocal -> assert false
| InstGlobal -> perform_instance inst
| InstExport -> if Int.equal i 1 then perform_instance inst
let subst_instance (subst, inst) =
{ inst with
inst_class = fst (subst_global subst inst.inst_class);
inst_impl = fst (subst_global subst inst.inst_impl) }
let discharge_instance (_, inst) =
match inst.inst_global with
| InstLocal -> None
| InstGlobal | InstExport ->
assert (not (isVarRef inst.inst_impl));
Some inst
let rebuild_instance inst =
add_instance_base inst;
inst
let classify_instance inst = match inst.inst_global with
| InstLocal -> Dispose
| InstGlobal | InstExport -> Substitute inst
let instance_input : instance_obj -> obj =
declare_object
{ (default_object "type classes instances state") with
cache_function = cache_instance;
load_function = load_instance;
open_function = simple_open open_instance;
classify_function = classify_instance;
discharge_function = discharge_instance;
rebuild_function = rebuild_instance;
subst_function = subst_instance }
let warn_deprecated_instance_without_locality =
let open Pp in
CWarnings.create ~name:"deprecated-instance-without-locality" ~category:"deprecated"
(fun () -> strbrk "The default value for instance locality is currently \
\"local\" in a section and \"global\" otherwise, but is scheduled to change \
in a future release. For the time being, adding instances outside of sections \
without specifying an explicit locality attribute is therefore deprecated. It is \
recommended to use \"export\" whenever possible. Use the attributes \
#[local], #[global] and #[export] depending on your choice. For example: \
\"#[export] Instance Foo : Bar := baz.\"")
let add_instance cl info glob impl =
let global = match glob with
| Goptions.OptDefault ->
if Global.sections_are_opened () then InstLocal
else
let () = warn_deprecated_instance_without_locality () in
InstGlobal
| Goptions.OptGlobal ->
if Global.sections_are_opened () && isVarRef impl then
CErrors.user_err (Pp.str "Cannot set Global an instance referring to a section variable.")
else InstGlobal
| Goptions.OptLocal -> InstLocal
| Goptions.OptExport ->
if Global.sections_are_opened () && isVarRef impl then
CErrors.user_err (Pp.str "The export attribute cannot be applied to an instance referring to a section variable.")
else InstExport
in
let i = {
inst_class = cl.cl_impl;
inst_info = info ;
inst_global = global ;
inst_impl = impl;
} in
Lib.add_anonymous_leaf (instance_input i);
add_instance_base i
let warning_not_a_class =
let name = "not-a-class" in
let category = "typeclasses" in
CWarnings.create ~name ~category (fun (n, ty) ->
let env = Global.env () in
let evd = Evd.from_env env in
Pp.(str "Ignored instance declaration for “"
++ Nametab.pr_global_env Id.Set.empty n
++ str "”: “"
++ Termops.Internal.print_constr_env env evd (EConstr.of_constr ty)
++ str "” is not a class")
)
let declare_instance ?(warn = false) env sigma info local glob =
let ty, _ = Typeops.type_of_global_in_context env glob in
let info = Option.default {hint_priority = None; hint_pattern = None} info in
match class_of_constr env sigma (EConstr.of_constr ty) with
| Some (rels, ((tc,_), args) as _cl) ->
add_instance tc info local glob
| None -> if warn then warning_not_a_class (glob, ty)
let cache_class (_,c) = load_class c
let subst_class (subst,cl) =
let do_subst_con c = Mod_subst.subst_constant subst c
and do_subst c = Mod_subst.subst_mps subst c
and do_subst_gr gr = fst (subst_global subst gr) in
let do_subst_ctx = List.Smart.map (RelDecl.map_constr do_subst) in
let do_subst_meth m =
let c = Option.Smart.map do_subst_con m.meth_const in
if c == m.meth_const then m
else
{
meth_name = m.meth_name;
meth_info = m.meth_info;
meth_const = c;
}
in
let do_subst_projs projs = List.Smart.map do_subst_meth projs in
{ cl_univs = cl.cl_univs;
cl_impl = do_subst_gr cl.cl_impl;
cl_context = do_subst_ctx cl.cl_context;
cl_props = do_subst_ctx cl.cl_props;
cl_projs = do_subst_projs cl.cl_projs;
cl_strict = cl.cl_strict;
cl_unique = cl.cl_unique }
let discharge_class (_,cl) =
let open CVars in
let repl = Lib.replacement_context () in
let rel_of_variable_context ctx = List.fold_right
( fun decl (ctx', subst) ->
let decl' = decl |> NamedDecl.map_constr (substn_vars 1 subst) |> NamedDecl.to_rel_decl in
(decl' :: ctx', NamedDecl.get_id decl :: subst)
) ctx ([], []) in
let discharge_rel_context (subst, usubst) n rel =
let rel = Context.Rel.map (Cooking.expmod_constr repl) rel in
let fold decl (ctx, k) =
let map c = subst_univs_level_constr usubst (substn_vars k subst c) in
RelDecl.map_constr map decl :: ctx, succ k
in
let ctx, _ = List.fold_right fold rel ([], n) in
ctx
in
let abs_context cl =
let open GlobRef in
match cl.cl_impl with
| VarRef _ | ConstructRef _ -> assert false
| ConstRef cst -> Lib.section_segment_of_constant cst
| IndRef (ind,_) -> Lib.section_segment_of_mutual_inductive ind in
let discharge_context ctx' subst ctx =
discharge_rel_context subst 1 ctx @ ctx'
in
try
let info = abs_context cl in
let ctx = info.Section.abstr_ctx in
let ctx, subst = rel_of_variable_context ctx in
let usubst, cl_univs' = Lib.discharge_abstract_universe_context info cl.cl_univs in
let context = discharge_context ctx (subst, usubst) cl.cl_context in
let props = discharge_rel_context (subst, usubst) (succ (List.length cl.cl_context)) cl.cl_props in
let discharge_proj x = x in
{ cl_univs = cl_univs';
cl_impl = cl.cl_impl;
cl_context = context;
cl_props = props;
cl_projs = List.Smart.map discharge_proj cl.cl_projs;
cl_strict = cl.cl_strict;
cl_unique = cl.cl_unique
}
with Not_found ->
cl
let rebuild_class cl =
try
let cst = Tacred.evaluable_of_global_reference (Global.env ()) cl.cl_impl in
set_typeclass_transparency cst false false; cl
with e when CErrors.noncritical e -> cl
let class_input : typeclass -> obj =
declare_object
{ (default_object "type classes state") with
cache_function = cache_class;
load_function = (fun _ -> cache_class);
open_function = simple_open (fun _ -> cache_class);
classify_function = (fun x -> Substitute x);
discharge_function = (fun a -> Some (discharge_class a));
rebuild_function = rebuild_class;
subst_function = subst_class }
let add_class cl =
Lib.add_anonymous_leaf (class_input cl)
let add_class env sigma cl =
add_class cl;
List.iter (fun m ->
match m.meth_info with
| Some info ->
(match m.meth_const with
| None -> CErrors.user_err Pp.(str "Non-definable projection can not be declared as a subinstance")
| Some b -> declare_instance ~warn:true env sigma (Some info) Goptions.OptGlobal (GlobRef.ConstRef b))
| _ -> ())
cl.cl_projs
let intern_info {hint_priority;hint_pattern} =
let env = Global.env() in
let sigma = Evd.from_env env in
let hint_pattern = Option.map (Constrintern.intern_constr_pattern env sigma) hint_pattern in
{hint_priority;hint_pattern}
(** TODO: add subinstances *)
let existing_instance glob g info =
let c = Nametab.global g in
let info = Option.default Hints.empty_hint_info info in
let info = intern_info info in
let env = Global.env() in
let sigma = Evd.from_env env in
let instance, _ = Typeops.type_of_global_in_context env c in
let ctx, r = Term.decompose_prod_assum instance in
match class_of_constr (Environ.push_rel_context ctx env) sigma (EConstr.of_constr r) with
| Some (_, ((tc,u), _)) -> add_instance tc info glob c
| None -> user_err ?loc:g.CAst.loc
~hdr:"declare_instance"
(Pp.str "Constant does not build instances of a declared type class.")
let type_ctx_instance ~program_mode env sigma ctx inst subst =
let open Vars in
let rec aux (sigma, subst, instctx) l = function
decl :: ctx ->
let t' = substl subst (RelDecl.get_type decl) in
let (sigma, c'), l =
match decl with
| LocalAssum _ -> interp_casted_constr_evars ~program_mode env sigma (List.hd l) t', List.tl l
| LocalDef (_,b,_) -> (sigma, substl subst b), l
in
let d = RelDecl.get_name decl, Some c', t' in
aux (sigma, c' :: subst, d :: instctx) l ctx
| [] -> sigma, subst
in aux (sigma, subst, []) inst (List.rev ctx)
let id_of_class cl =
let open GlobRef in
match cl.cl_impl with
| ConstRef kn -> Label.to_id @@ Constant.label kn
| IndRef (kn,i) ->
let mip = (Environ.lookup_mind kn (Global.env ())).Declarations.mind_packets in
mip.(0).Declarations.mind_typename
| _ -> assert false
let instance_hook info global ?hook cst =
let info = intern_info info in
let env = Global.env () in
let sigma = Evd.from_env env in
declare_instance env sigma (Some info) global cst;
(match hook with Some h -> h cst | None -> ())
let declare_instance_constant iinfo global impargs ?hook name udecl poly sigma term termtype =
let kind = Decls.(IsDefinition Instance) in
let scope = Locality.Global Locality.ImportDefaultBehavior in
let cinfo = Declare.CInfo.make ~name ~impargs ~typ:(Some termtype) () in
let info = Declare.Info.make ~kind ~scope ~poly ~udecl () in
let kn = Declare.declare_definition ~cinfo ~info ~opaque:false ~body:term sigma in
instance_hook iinfo global ?hook kn
let do_declare_instance sigma ~locality ~poly k u ctx ctx' pri udecl impargs subst name =
let subst = List.fold_left2
(fun subst' s decl -> if is_local_assum decl then s :: subst' else subst')
[] subst k.cl_context
in
let (_, ty_constr) = instance_constructor (k,u) subst in
let termtype = it_mkProd_or_LetIn ty_constr (ctx' @ ctx) in
let sigma, entry = Declare.prepare_parameter ~poly sigma ~udecl ~types:termtype in
let cst = Declare.declare_constant ~name
~kind:Decls.(IsAssumption Logical) (Declare.ParameterEntry entry) in
DeclareUniv.declare_univ_binders (GlobRef.ConstRef cst) (Evd.universe_binders sigma);
let cst = (GlobRef.ConstRef cst) in
Impargs.maybe_declare_manual_implicits false cst impargs;
instance_hook pri locality cst
let declare_instance_program pm env sigma ~locality ~poly name pri impargs udecl term termtype =
let hook { Declare.Hook.S.scope; dref; _ } =
let cst = match dref with GlobRef.ConstRef kn -> kn | _ -> assert false in
let pri = intern_info pri in
let env = Global.env () in
let sigma = Evd.from_env env in
declare_instance env sigma (Some pri) locality (GlobRef.ConstRef cst)
in
let obls, _, term, typ = RetrieveObl.retrieve_obligations env name sigma 0 term termtype in
let hook = Declare.Hook.make hook in
let uctx = Evd.evar_universe_context sigma in
let scope, kind = Locality.Global Locality.ImportDefaultBehavior,
Decls.IsDefinition Decls.Instance in
let cinfo = Declare.CInfo.make ~name ~typ ~impargs () in
let info = Declare.Info.make ~udecl ~scope ~poly ~kind ~hook () in
let pm, _ =
Declare.Obls.add_definition ~pm ~cinfo ~info ~term ~uctx obls
in pm
let declare_instance_open sigma ?hook ~tac ~locality ~poly id pri impargs udecl ids term termtype =
let future_goals, sigma = Evd.pop_future_goals sigma in
let gls = List.rev future_goals.Evd.FutureGoals.comb in
let sigma = Evd.push_future_goals sigma in
let kind = Decls.(IsDefinition Instance) in
let hook = Declare.Hook.(make (fun { S.dref ; _ } -> instance_hook pri locality ?hook dref)) in
let info = Declare.Info.make ~hook ~kind ~udecl ~poly () in
let termtype = Evarutil.nf_evar sigma termtype in
let cinfo = Declare.CInfo.make ~name:id ~impargs ~typ:termtype () in
let lemma = Declare.Proof.start ~cinfo ~info sigma in
let lemma =
match term with
| Some term ->
let init_refine =
Tacticals.New.tclTHENLIST [
Refine.refine ~typecheck:false (fun sigma -> sigma, term);
Proofview.Unsafe.tclNEWGOALS (CList.map Proofview.with_empty_state gls);
Tactics.New.reduce_after_refine;
]
in
let lemma, _ = Declare.Proof.by init_refine lemma in
lemma
| None ->
let lemma, _ = Declare.Proof.by (Tactics.auto_intros_tac ids) lemma in
lemma
in
match tac with
| Some tac ->
let lemma, _ = Declare.Proof.by tac lemma in
lemma
| None ->
lemma
let do_instance_subst_constructor_and_ty subst k u ctx =
let subst =
List.fold_left2 (fun subst' s decl ->
if is_local_assum decl then s :: subst' else subst')
[] subst (k.cl_props @ k.cl_context)
in
let (app, ty_constr) = instance_constructor (k,u) subst in
let termtype = it_mkProd_or_LetIn ty_constr ctx in
let term = it_mkLambda_or_LetIn (Option.get app) ctx in
term, termtype
let do_instance_resolve_TC termtype sigma env =
let sigma = Evarutil.nf_evar_map sigma in
let sigma = Typeclasses.resolve_typeclasses ~filter:Typeclasses.no_goals_or_obligations ~fail:true env sigma in
let sigma = Typeclasses.resolve_typeclasses ~filter:Typeclasses.all_evars ~fail:false env sigma in
let sigma = Evarutil.nf_evar_map_undefined sigma in
let sigma = Evd.minimize_universes sigma in
Pretyping.check_evars env sigma termtype;
termtype, sigma
let do_instance_type_ctx_instance props k env' ctx' sigma ~program_mode subst =
let get_id qid = CAst.make ?loc:qid.CAst.loc @@ qualid_basename qid in
let props, rest =
List.fold_left
(fun (props, rest) decl ->
if is_local_assum decl then
try
let is_id (id', _) = match RelDecl.get_name decl, get_id id' with
| Name id, {CAst.v=id'} -> Id.equal id id'
| Anonymous, _ -> false
in
let (loc_mid, c) = List.find is_id rest in
let rest' = List.filter (fun v -> not (is_id v)) rest
in
let {CAst.loc;v=mid} = get_id loc_mid in
List.iter (fun m ->
if Name.equal m.meth_name (Name mid) then
Option.iter (fun x -> Dumpglob.add_glob ?loc (GlobRef.ConstRef x)) m.meth_const) k.cl_projs;
c :: props, rest'
with Not_found ->
((CAst.make @@ CHole (None, Namegen.IntroAnonymous, None)) :: props), rest
else props, rest)
([], props) k.cl_props
in
match rest with
| (n, _) :: _ ->
unbound_method env' sigma k.cl_impl (get_id n)
| _ ->
let kcl_props = List.map (Termops.map_rel_decl of_constr) k.cl_props in
let sigma, res =
type_ctx_instance ~program_mode
(push_rel_context ctx' env') sigma kcl_props props subst in
res, sigma
let interp_props ~program_mode env' cty k u ctx ctx' subst sigma = function
| (true, { CAst.v = CRecord fs; loc }) ->
check_duplicate ?loc fs;
let subst, sigma = do_instance_type_ctx_instance fs k env' ctx' sigma ~program_mode subst in
let term, termtype =
do_instance_subst_constructor_and_ty subst k u (ctx' @ ctx) in
term, termtype, sigma
| (_, term) ->
let sigma, def =
interp_casted_constr_evars ~program_mode env' sigma term cty in
let termtype = it_mkProd_or_LetIn cty ctx in
let term = it_mkLambda_or_LetIn def ctx in
term, termtype, sigma
let do_instance_interactive env env' sigma ?hook ~tac ~locality ~poly cty k u ctx ctx' pri decl imps subst id opt_props =
let term, termtype, sigma = match opt_props with
| Some props ->
on_pi1 (fun x -> Some x)
(interp_props ~program_mode:false env' cty k u ctx ctx' subst sigma props)
| None ->
let term, termtype =
if List.is_empty k.cl_props then
let term, termtype =
do_instance_subst_constructor_and_ty subst k u (ctx' @ ctx) in
Some term, termtype
else
None, it_mkProd_or_LetIn cty ctx
in
let termtype, sigma = do_instance_resolve_TC termtype sigma env in
term, termtype, sigma
in
Flags.silently (fun () ->
declare_instance_open sigma ?hook ~tac ~locality ~poly
id pri imps decl (List.map RelDecl.get_name ctx) term termtype)
()
let do_instance env env' sigma ?hook ~locality ~poly cty k u ctx ctx' pri decl imps subst id props =
let term, termtype, sigma =
interp_props ~program_mode:false env' cty k u ctx ctx' subst sigma props
in
let termtype, sigma = do_instance_resolve_TC termtype sigma env in
Pretyping.check_evars_are_solved ~program_mode:false env sigma;
declare_instance_constant pri locality imps ?hook id decl poly sigma term termtype
let do_instance_program ~pm env env' sigma ?hook ~locality ~poly cty k u ctx ctx' pri decl imps subst id opt_props =
let term, termtype, sigma =
match opt_props with
| Some props ->
interp_props ~program_mode:true env' cty k u ctx ctx' subst sigma props
| None ->
let subst, sigma =
do_instance_type_ctx_instance [] k env' ctx' sigma ~program_mode:true subst in
let term, termtype =
do_instance_subst_constructor_and_ty subst k u (ctx' @ ctx) in
term, termtype, sigma in
let termtype, sigma = do_instance_resolve_TC termtype sigma env in
if not (Evd.has_undefined sigma) && not (Option.is_empty opt_props) then
let () = declare_instance_constant pri locality imps ?hook id decl poly sigma term termtype in
pm
else
declare_instance_program pm env sigma ~locality ~poly id pri imps decl term termtype
let auto_generalize =
Goptions.declare_bool_option_and_ref
~depr:true
~key:["Instance";"Generalized";"Output"]
~value:false
let interp_instance_context ~program_mode env ctx ?(generalize=auto_generalize()) pl tclass =
let sigma, decl = interp_univ_decl_opt env pl in
let tclass =
if generalize then CAst.make @@ CGeneralization (Glob_term.MaxImplicit, Some AbsPi, tclass)
else tclass
in
let sigma, (impls, ((env', ctx), imps)) = interp_context_evars ~program_mode env sigma ctx in
let flags = Pretyping.{ all_no_fail_flags with program_mode } in
let sigma, (c', imps') = interp_type_evars_impls ~flags ~impls env' sigma tclass in
let imps = imps @ imps' in
let ctx', c = decompose_prod_assum sigma c' in
let ctx'' = ctx' @ ctx in
let (k, u), args = Typeclasses.dest_class_app (push_rel_context ctx'' env) sigma c in
let u_s = EInstance.kind sigma u in
let cl = Typeclasses.typeclass_univ_instance (k, u_s) in
let args = List.map of_constr args in
let cl_context = List.map (Termops.map_rel_decl of_constr) cl.cl_context in
let _, args =
List.fold_right (fun decl (args, args') ->
match decl with
| LocalAssum _ -> (List.tl args, List.hd args :: args')
| LocalDef (_,b,_) -> (args, Vars.substl args' b :: args'))
cl_context (args, [])
in
let sigma = Evarutil.nf_evar_map sigma in
let sigma = resolve_typeclasses ~filter:Typeclasses.all_evars ~fail:true env sigma in
sigma, cl, u, c', ctx', ctx, imps, args, decl
let new_instance_common ~program_mode ?generalize env instid ctx cl =
let ({CAst.loc;v=instid}, pl) = instid in
let sigma, k, u, cty, ctx', ctx, imps, subst, decl =
interp_instance_context ~program_mode env ?generalize ctx pl cl
in
let id =
match instid with
| Name id -> id
| Anonymous ->
let i = Nameops.add_suffix (id_of_class k) "_instance_0" in
Namegen.next_global_ident_away i (Termops.vars_of_env env)
in
let env' = push_rel_context ctx env in
id, env', sigma, k, u, cty, ctx', ctx, imps, subst, decl
let new_instance_interactive ?(locality=Goptions.OptLocal)
~poly instid ctx cl
?generalize ?(tac:unit Proofview.tactic option) ?hook
pri opt_props =
let env = Global.env() in
let id, env', sigma, k, u, cty, ctx', ctx, imps, subst, decl =
new_instance_common ~program_mode:false ?generalize env instid ctx cl in
id, do_instance_interactive env env' sigma ?hook ~tac ~locality ~poly
cty k u ctx ctx' pri decl imps subst id opt_props
let new_instance_program ?(locality=Goptions.OptLocal) ~pm
~poly instid ctx cl opt_props
?generalize ?hook pri =
let env = Global.env() in
let id, env', sigma, k, u, cty, ctx', ctx, imps, subst, decl =
new_instance_common ~program_mode:true ?generalize env instid ctx cl in
let pm =
do_instance_program ~pm env env' sigma ?hook ~locality ~poly
cty k u ctx ctx' pri decl imps subst id opt_props in
pm, id
let new_instance ?(locality=Goptions.OptLocal)
~poly instid ctx cl props
?generalize ?hook pri =
let env = Global.env() in
let id, env', sigma, k, u, cty, ctx', ctx, imps, subst, decl =
new_instance_common ~program_mode:false ?generalize env instid ctx cl in
do_instance env env' sigma ?hook ~locality ~poly
cty k u ctx ctx' pri decl imps subst id props;
id
let declare_new_instance ?(locality=Goptions.OptLocal) ~program_mode ~poly instid ctx cl pri =
let env = Global.env() in
let ({CAst.loc;v=instid}, pl) = instid in
let sigma, k, u, cty, ctx', ctx, imps, subst, decl =
interp_instance_context ~program_mode ~generalize:false env ctx pl cl
in
do_declare_instance sigma ~locality ~poly k u ctx ctx' pri decl imps subst instid
let refine_att =
let open Attributes in
let open Notations in
attribute_of_list ["refine",single_key_parser ~name:"refine" ~key:"refine" ()] >>= function
| None -> return false
| Some () -> return true
module Internal =
struct
let add_instance cl info glob r =
let glob = if glob then Goptions.OptGlobal else Goptions.OptLocal in
add_instance cl info glob r
end