summaryrefslogtreecommitdiff
path: root/plugins/decl_mode/decl_interp.ml
diff options
context:
space:
mode:
Diffstat (limited to 'plugins/decl_mode/decl_interp.ml')
-rw-r--r--plugins/decl_mode/decl_interp.ml471
1 files changed, 471 insertions, 0 deletions
diff --git a/plugins/decl_mode/decl_interp.ml b/plugins/decl_mode/decl_interp.ml
new file mode 100644
index 00000000..b3e076c4
--- /dev/null
+++ b/plugins/decl_mode/decl_interp.ml
@@ -0,0 +1,471 @@
+(************************************************************************)
+(* v * The Coq Proof Assistant / The Coq Development Team *)
+(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2010 *)
+(* \VV/ **************************************************************)
+(* // * This file is distributed under the terms of the *)
+(* * GNU Lesser General Public License Version 2.1 *)
+(************************************************************************)
+
+open Util
+open Names
+open Topconstr
+open Tacinterp
+open Tacmach
+open Decl_expr
+open Decl_mode
+open Pretyping.Default
+open Glob_term
+open Term
+open Pp
+open Compat
+
+(* INTERN *)
+
+let glob_app (loc,hd,args) = if args =[] then hd else GApp(loc,hd,args)
+
+let intern_justification_items globs =
+ Option.map (List.map (intern_constr globs))
+
+let intern_justification_method globs =
+ Option.map (intern_pure_tactic globs)
+
+let intern_statement intern_it globs st =
+ {st_label=st.st_label;
+ st_it=intern_it globs st.st_it}
+
+let intern_no_bind intern_it globs x =
+ globs,intern_it globs x
+
+let intern_constr_or_thesis globs = function
+ Thesis n -> Thesis n
+ | This c -> This (intern_constr globs c)
+
+let add_var id globs=
+ let l1,l2=globs.ltacvars in
+ {globs with ltacvars= (id::l1),(id::l2)}
+
+let add_name nam globs=
+ match nam with
+ Anonymous -> globs
+ | Name id -> add_var id globs
+
+let intern_hyp iconstr globs = function
+ Hvar (loc,(id,topt)) -> add_var id globs,
+ Hvar (loc,(id,Option.map (intern_constr globs) topt))
+ | Hprop st -> add_name st.st_label globs,
+ Hprop (intern_statement iconstr globs st)
+
+let intern_hyps iconstr globs hyps =
+ snd (list_fold_map (intern_hyp iconstr) globs hyps)
+
+let intern_cut intern_it globs cut=
+ let nglobs,nstat=intern_it globs cut.cut_stat in
+ {cut_stat=nstat;
+ cut_by=intern_justification_items nglobs cut.cut_by;
+ cut_using=intern_justification_method nglobs cut.cut_using}
+
+let intern_casee globs = function
+ Real c -> Real (intern_constr globs c)
+ | Virtual cut -> Virtual
+ (intern_cut (intern_no_bind (intern_statement intern_constr)) globs cut)
+
+let intern_hyp_list args globs =
+ let intern_one globs (loc,(id,opttyp)) =
+ (add_var id globs),
+ (loc,(id,Option.map (intern_constr globs) opttyp)) in
+ list_fold_map intern_one globs args
+
+let intern_suffices_clause globs (hyps,c) =
+ let nglobs,nhyps = list_fold_map (intern_hyp intern_constr) globs hyps in
+ nglobs,(nhyps,intern_constr_or_thesis nglobs c)
+
+let intern_fundecl args body globs=
+ let nglobs,nargs = intern_hyp_list args globs in
+ nargs,intern_constr nglobs body
+
+let rec add_vars_of_simple_pattern globs = function
+ CPatAlias (loc,p,id) ->
+ add_vars_of_simple_pattern (add_var id globs) p
+(* Loc.raise loc
+ (UserError ("simple_pattern",str "\"as\" is not allowed here"))*)
+ | CPatOr (loc, _)->
+ Loc.raise loc
+ (UserError ("simple_pattern",str "\"(_ | _)\" is not allowed here"))
+ | CPatDelimiters (_,_,p) ->
+ add_vars_of_simple_pattern globs p
+ | CPatCstr (_,_,pl) | CPatCstrExpl (_,_,pl) ->
+ List.fold_left add_vars_of_simple_pattern globs pl
+ | CPatNotation(_,_,(pl,pll)) ->
+ List.fold_left add_vars_of_simple_pattern globs (List.flatten (pl::pll))
+ | CPatAtom (_,Some (Libnames.Ident (_,id))) -> add_var id globs
+ | _ -> globs
+
+let rec intern_bare_proof_instr globs = function
+ Pthus i -> Pthus (intern_bare_proof_instr globs i)
+ | Pthen i -> Pthen (intern_bare_proof_instr globs i)
+ | Phence i -> Phence (intern_bare_proof_instr globs i)
+ | Pcut c -> Pcut
+ (intern_cut
+ (intern_no_bind (intern_statement intern_constr_or_thesis)) globs c)
+ | Psuffices c ->
+ Psuffices (intern_cut intern_suffices_clause globs c)
+ | Prew (s,c) -> Prew
+ (s,intern_cut
+ (intern_no_bind (intern_statement intern_constr)) globs c)
+ | Psuppose hyps -> Psuppose (intern_hyps intern_constr globs hyps)
+ | Pcase (params,pat,hyps) ->
+ let nglobs,nparams = intern_hyp_list params globs in
+ let nnglobs= add_vars_of_simple_pattern nglobs pat in
+ let nhyps = intern_hyps intern_constr_or_thesis nnglobs hyps in
+ Pcase (nparams,pat,nhyps)
+ | Ptake witl -> Ptake (List.map (intern_constr globs) witl)
+ | Pconsider (c,hyps) -> Pconsider (intern_constr globs c,
+ intern_hyps intern_constr globs hyps)
+ | Pper (et,c) -> Pper (et,intern_casee globs c)
+ | Pend bt -> Pend bt
+ | Pescape -> Pescape
+ | Passume hyps -> Passume (intern_hyps intern_constr globs hyps)
+ | Pgiven hyps -> Pgiven (intern_hyps intern_constr globs hyps)
+ | Plet hyps -> Plet (intern_hyps intern_constr globs hyps)
+ | Pclaim st -> Pclaim (intern_statement intern_constr globs st)
+ | Pfocus st -> Pfocus (intern_statement intern_constr globs st)
+ | Pdefine (id,args,body) ->
+ let nargs,nbody = intern_fundecl args body globs in
+ Pdefine (id,nargs,nbody)
+ | Pcast (id,typ) ->
+ Pcast (id,intern_constr globs typ)
+
+let rec intern_proof_instr globs instr=
+ {emph = instr.emph;
+ instr = intern_bare_proof_instr globs instr.instr}
+
+(* INTERP *)
+
+let interp_justification_items sigma env =
+ Option.map (List.map (fun c ->understand sigma env (fst c)))
+
+let interp_constr check_sort sigma env c =
+ if check_sort then
+ understand_type sigma env (fst c)
+ else
+ understand sigma env (fst c)
+
+let special_whd env =
+ let infos=Closure.create_clos_infos Closure.betadeltaiota env in
+ (fun t -> Closure.whd_val infos (Closure.inject t))
+
+let _eq = Libnames.constr_of_global (Coqlib.glob_eq)
+
+let decompose_eq env id =
+ let typ = Environ.named_type id env in
+ let whd = special_whd env typ in
+ match kind_of_term whd with
+ App (f,args)->
+ if eq_constr f _eq && (Array.length args)=3
+ then args.(0)
+ else error "Previous step is not an equality."
+ | _ -> error "Previous step is not an equality."
+
+let get_eq_typ info env =
+ let typ = decompose_eq env (get_last env) in
+ typ
+
+let interp_constr_in_type typ sigma env c =
+ understand sigma env (fst c) ~expected_type:typ
+
+let interp_statement interp_it sigma env st =
+ {st_label=st.st_label;
+ st_it=interp_it sigma env st.st_it}
+
+let interp_constr_or_thesis check_sort sigma env = function
+ Thesis n -> Thesis n
+ | This c -> This (interp_constr check_sort sigma env c)
+
+let abstract_one_hyp inject h glob =
+ match h with
+ Hvar (loc,(id,None)) ->
+ GProd (dummy_loc,Name id, Explicit, GHole (loc,Evd.BinderType (Name id)), glob)
+ | Hvar (loc,(id,Some typ)) ->
+ GProd (dummy_loc,Name id, Explicit, fst typ, glob)
+ | Hprop st ->
+ GProd (dummy_loc,st.st_label, Explicit, inject st.st_it, glob)
+
+let glob_constr_of_hyps inject hyps head =
+ List.fold_right (abstract_one_hyp inject) hyps head
+
+let glob_prop = GSort (dummy_loc,GProp Null)
+
+let rec match_hyps blend names constr = function
+ [] -> [],substl names constr
+ | hyp::q ->
+ let (name,typ,body)=destProd constr in
+ let st= {st_label=name;st_it=substl names typ} in
+ let qnames=
+ match name with
+ Anonymous -> mkMeta 0 :: names
+ | Name id -> mkVar id :: names in
+ let qhyp = match hyp with
+ Hprop st' -> Hprop (blend st st')
+ | Hvar _ -> Hvar st in
+ let rhyps,head = match_hyps blend qnames body q in
+ qhyp::rhyps,head
+
+let interp_hyps_gen inject blend sigma env hyps head =
+ let constr=understand sigma env (glob_constr_of_hyps inject hyps head) in
+ match_hyps blend [] constr hyps
+
+let interp_hyps sigma env hyps = fst (interp_hyps_gen fst (fun x _ -> x) sigma env hyps glob_prop)
+
+let dummy_prefix= id_of_string "__"
+
+let rec deanonymize ids =
+ function
+ PatVar (loc,Anonymous) ->
+ let (found,known) = !ids in
+ let new_id=Namegen.next_ident_away dummy_prefix known in
+ let _= ids:= (loc,new_id) :: found , new_id :: known in
+ PatVar (loc,Name new_id)
+ | PatVar (loc,Name id) as pat ->
+ let (found,known) = !ids in
+ let _= ids:= (loc,id) :: found , known in
+ pat
+ | PatCstr(loc,cstr,lpat,nam) ->
+ PatCstr(loc,cstr,List.map (deanonymize ids) lpat,nam)
+
+let rec glob_of_pat =
+ function
+ PatVar (loc,Anonymous) -> anomaly "Anonymous pattern variable"
+ | PatVar (loc,Name id) ->
+ GVar (loc,id)
+ | PatCstr(loc,((ind,_) as cstr),lpat,_) ->
+ let mind= fst (Global.lookup_inductive ind) in
+ let rec add_params n q =
+ if n<=0 then q else
+ add_params (pred n) (GHole(dummy_loc,
+ Evd.TomatchTypeParameter(ind,n))::q) in
+ let args = List.map glob_of_pat lpat in
+ glob_app(loc,GRef(dummy_loc,Libnames.ConstructRef cstr),
+ add_params mind.Declarations.mind_nparams args)
+
+let prod_one_hyp = function
+ (loc,(id,None)) ->
+ (fun glob ->
+ GProd (dummy_loc,Name id, Explicit,
+ GHole (loc,Evd.BinderType (Name id)), glob))
+ | (loc,(id,Some typ)) ->
+ (fun glob ->
+ GProd (dummy_loc,Name id, Explicit, fst typ, glob))
+
+let prod_one_id (loc,id) glob =
+ GProd (dummy_loc,Name id, Explicit,
+ GHole (loc,Evd.BinderType (Name id)), glob)
+
+let let_in_one_alias (id,pat) glob =
+ GLetIn (dummy_loc,Name id, glob_of_pat pat, glob)
+
+let rec bind_primary_aliases map pat =
+ match pat with
+ PatVar (_,_) -> map
+ | PatCstr(loc,_,lpat,nam) ->
+ let map1 =
+ match nam with
+ Anonymous -> map
+ | Name id -> (id,pat)::map
+ in
+ List.fold_left bind_primary_aliases map1 lpat
+
+let bind_secondary_aliases map subst =
+ List.fold_left (fun map (ids,idp) -> (ids,List.assoc idp map)::map) map subst
+
+let bind_aliases patvars subst patt =
+ let map = bind_primary_aliases [] patt in
+ let map1 = bind_secondary_aliases map subst in
+ List.rev map1
+
+let interp_pattern env pat_expr =
+ let patvars,pats = Constrintern.intern_pattern env pat_expr in
+ match pats with
+ [] -> anomaly "empty pattern list"
+ | [subst,patt] ->
+ (patvars,bind_aliases patvars subst patt,patt)
+ | _ -> anomaly "undetected disjunctive pattern"
+
+let rec match_args dest names constr = function
+ [] -> [],names,substl names constr
+ | _::q ->
+ let (name,typ,body)=dest constr in
+ let st={st_label=name;st_it=substl names typ} in
+ let qnames=
+ match name with
+ Anonymous -> assert false
+ | Name id -> mkVar id :: names in
+ let args,bnames,body = match_args dest qnames body q in
+ st::args,bnames,body
+
+let rec match_aliases names constr = function
+ [] -> [],names,substl names constr
+ | _::q ->
+ let (name,c,typ,body)=destLetIn constr in
+ let st={st_label=name;st_it=(substl names c,substl names typ)} in
+ let qnames=
+ match name with
+ Anonymous -> assert false
+ | Name id -> mkVar id :: names in
+ let args,bnames,body = match_aliases qnames body q in
+ st::args,bnames,body
+
+let detype_ground c = Detyping.detype false [] [] c
+
+let interp_cases info sigma env params (pat:cases_pattern_expr) hyps =
+ let et,pinfo =
+ match info.pm_stack with
+ Per(et,pi,_,_)::_ -> et,pi
+ | _ -> error "No proof per cases/induction/inversion in progress." in
+ let mib,oib=Global.lookup_inductive pinfo.per_ind in
+ let num_params = pinfo.per_nparams in
+ let _ =
+ let expected = mib.Declarations.mind_nparams - num_params in
+ if List.length params <> expected then
+ errorlabstrm "suppose it is"
+ (str "Wrong number of extra arguments: " ++
+ (if expected = 0 then str "none" else int expected) ++ spc () ++
+ str "expected.") in
+ let app_ind =
+ let rind = GRef (dummy_loc,Libnames.IndRef pinfo.per_ind) in
+ let rparams = List.map detype_ground pinfo.per_params in
+ let rparams_rec =
+ List.map
+ (fun (loc,(id,_)) ->
+ GVar (loc,id)) params in
+ let dum_args=
+ list_tabulate (fun _ -> GHole (dummy_loc,Evd.QuestionMark (Evd.Define false)))
+ oib.Declarations.mind_nrealargs in
+ glob_app(dummy_loc,rind,rparams@rparams_rec@dum_args) in
+ let pat_vars,aliases,patt = interp_pattern env pat in
+ let inject = function
+ Thesis (Plain) -> Glob_term.GSort(dummy_loc,GProp Null)
+ | Thesis (For rec_occ) ->
+ if not (List.mem rec_occ pat_vars) then
+ errorlabstrm "suppose it is"
+ (str "Variable " ++ Nameops.pr_id rec_occ ++
+ str " does not occur in pattern.");
+ Glob_term.GSort(dummy_loc,GProp Null)
+ | This (c,_) -> c in
+ let term1 = glob_constr_of_hyps inject hyps glob_prop in
+ let loc_ids,npatt =
+ let rids=ref ([],pat_vars) in
+ let npatt= deanonymize rids patt in
+ List.rev (fst !rids),npatt in
+ let term2 =
+ GLetIn(dummy_loc,Anonymous,
+ GCast(dummy_loc,glob_of_pat npatt,
+ CastConv (DEFAULTcast,app_ind)),term1) in
+ let term3=List.fold_right let_in_one_alias aliases term2 in
+ let term4=List.fold_right prod_one_id loc_ids term3 in
+ let term5=List.fold_right prod_one_hyp params term4 in
+ let constr = understand sigma env term5 in
+ let tparams,nam4,rest4 = match_args destProd [] constr params in
+ let tpatvars,nam3,rest3 = match_args destProd nam4 rest4 loc_ids in
+ let taliases,nam2,rest2 = match_aliases nam3 rest3 aliases in
+ let (_,pat_pat,pat_typ,rest1) = destLetIn rest2 in
+ let blend st st' =
+ match st'.st_it with
+ Thesis nam -> {st_it=Thesis nam;st_label=st'.st_label}
+ | This _ -> {st_it = This st.st_it;st_label=st.st_label} in
+ let thyps = fst (match_hyps blend nam2 (Termops.pop rest1) hyps) in
+ tparams,{pat_vars=tpatvars;
+ pat_aliases=taliases;
+ pat_constr=pat_pat;
+ pat_typ=pat_typ;
+ pat_pat=patt;
+ pat_expr=pat},thyps
+
+let interp_cut interp_it sigma env cut=
+ let nenv,nstat = interp_it sigma env cut.cut_stat in
+ {cut with
+ cut_stat=nstat;
+ cut_by=interp_justification_items sigma nenv cut.cut_by}
+
+let interp_no_bind interp_it sigma env x =
+ env,interp_it sigma env x
+
+let interp_suffices_clause sigma env (hyps,cot)=
+ let (locvars,_) as res =
+ match cot with
+ This (c,_) ->
+ let nhyps,nc = interp_hyps_gen fst (fun x _ -> x) sigma env hyps c in
+ nhyps,This nc
+ | Thesis Plain as th -> interp_hyps sigma env hyps,th
+ | Thesis (For n) -> error "\"thesis for\" is not applicable here." in
+ let push_one hyp env0 =
+ match hyp with
+ (Hprop st | Hvar st) ->
+ match st.st_label with
+ Name id -> Environ.push_named (id,None,st.st_it) env0
+ | _ -> env in
+ let nenv = List.fold_right push_one locvars env in
+ nenv,res
+
+let interp_casee sigma env = function
+ Real c -> Real (understand sigma env (fst c))
+ | Virtual cut -> Virtual (interp_cut (interp_no_bind (interp_statement (interp_constr true))) sigma env cut)
+
+let abstract_one_arg = function
+ (loc,(id,None)) ->
+ (fun glob ->
+ GLambda (dummy_loc,Name id, Explicit,
+ GHole (loc,Evd.BinderType (Name id)), glob))
+ | (loc,(id,Some typ)) ->
+ (fun glob ->
+ GLambda (dummy_loc,Name id, Explicit, fst typ, glob))
+
+let glob_constr_of_fun args body =
+ List.fold_right abstract_one_arg args (fst body)
+
+let interp_fun sigma env args body =
+ let constr=understand sigma env (glob_constr_of_fun args body) in
+ match_args destLambda [] constr args
+
+let rec interp_bare_proof_instr info (sigma:Evd.evar_map) (env:Environ.env) = function
+ Pthus i -> Pthus (interp_bare_proof_instr info sigma env i)
+ | Pthen i -> Pthen (interp_bare_proof_instr info sigma env i)
+ | Phence i -> Phence (interp_bare_proof_instr info sigma env i)
+ | Pcut c -> Pcut (interp_cut
+ (interp_no_bind (interp_statement
+ (interp_constr_or_thesis true)))
+ sigma env c)
+ | Psuffices c ->
+ Psuffices (interp_cut interp_suffices_clause sigma env c)
+ | Prew (s,c) -> Prew (s,interp_cut
+ (interp_no_bind (interp_statement
+ (interp_constr_in_type (get_eq_typ info env))))
+ sigma env c)
+
+ | Psuppose hyps -> Psuppose (interp_hyps sigma env hyps)
+ | Pcase (params,pat,hyps) ->
+ let tparams,tpat,thyps = interp_cases info sigma env params pat hyps in
+ Pcase (tparams,tpat,thyps)
+ | Ptake witl ->
+ Ptake (List.map (fun c -> understand sigma env (fst c)) witl)
+ | Pconsider (c,hyps) -> Pconsider (interp_constr false sigma env c,
+ interp_hyps sigma env hyps)
+ | Pper (et,c) -> Pper (et,interp_casee sigma env c)
+ | Pend bt -> Pend bt
+ | Pescape -> Pescape
+ | Passume hyps -> Passume (interp_hyps sigma env hyps)
+ | Pgiven hyps -> Pgiven (interp_hyps sigma env hyps)
+ | Plet hyps -> Plet (interp_hyps sigma env hyps)
+ | Pclaim st -> Pclaim (interp_statement (interp_constr true) sigma env st)
+ | Pfocus st -> Pfocus (interp_statement (interp_constr true) sigma env st)
+ | Pdefine (id,args,body) ->
+ let nargs,_,nbody = interp_fun sigma env args body in
+ Pdefine (id,nargs,nbody)
+ | Pcast (id,typ) ->
+ Pcast(id,interp_constr true sigma env typ)
+
+let rec interp_proof_instr info sigma env instr=
+ {emph = instr.emph;
+ instr = interp_bare_proof_instr info sigma env instr.instr}
+
+
+