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|
(* $Id$ *)
open Pp
open Util
open Options
open Generic
open Term
open Declarations
open Inductive
open Reduction
open Tacred
open Declare
open Names
open Coqast
open Ast
open Library
open Libobject
open Astterm
let mkCastC(c,t) = ope("CAST",[c;t])
let mkLambdaC(x,a,b) = ope("LAMBDA",[a;slam(Some (string_of_id x),b)])
let mkLambdaCit = List.fold_right (fun (x,a) b -> mkLambdaC(x,a,b))
let mkProdC (x,a,b) = ope("PROD",[a;slam(Some (string_of_id x),b)])
let mkProdCit = List.fold_right (fun (x,a) b -> mkProdC(x,a,b))
(* Commands of the interface *)
(* 1| Constant definitions *)
let constant_entry_of_com (com,comtypopt) =
let sigma = Evd.empty in
let env = Global.env() in
match comtypopt with
None ->
{ const_entry_body = Cooked (interp_constr sigma env com);
const_entry_type = None }
| Some comtyp ->
let typ = interp_type sigma env comtyp in
{ const_entry_body = Cooked (interp_casted_constr sigma env com typ);
const_entry_type = Some typ }
let red_constant_entry ce = function
| None -> ce
| Some red ->
let body = match ce.const_entry_body with
| Cooked c -> c
| Recipe _ -> assert false
in
{ const_entry_body =
Cooked (reduction_of_redexp red (Global.env()) Evd.empty body);
const_entry_type =
ce.const_entry_type }
let definition_body_red ident n com comtypeopt red_option =
let ce = constant_entry_of_com (com,comtypeopt) in
let ce' = red_constant_entry ce red_option in
declare_constant ident (ce',n);
if is_verbose() then message ((string_of_id ident) ^ " is defined")
let definition_body ident n com typ = definition_body_red ident n com typ None
let syntax_definition ident com =
let c = interp_rawconstr Evd.empty (Global.env()) com in
Syntax_def.declare_syntactic_definition ident c;
if is_verbose() then
message ((string_of_id ident) ^ " is now a syntax macro")
(***TODO
let abstraction_definition ident arity com =
let c = raw_interp_constrpattern Evd.empty (Global.env()) com in
machine_abstraction ident arity c
***)
(* 2| Variable definitions *)
let parameter_def_var ident c =
let c = interp_type Evd.empty (Global.env()) c in
declare_parameter (id_of_string ident) c;
if is_verbose() then message (ident ^ " is assumed")
let hypothesis_def_var is_refining ident n c =
let warning () =
mSGERRNL [< 'sTR"Warning: "; 'sTR ident;
'sTR" is declared as a parameter";
'sTR" because it is at a global level" >]
in
match n with
| NeverDischarge ->
warning();
parameter_def_var ident c
| DischargeAt disch_sp ->
if Lib.is_section_p disch_sp then begin
declare_variable (id_of_string ident)
(interp_type Evd.empty (Global.env()) c,n,false);
if is_verbose() then message (ident ^ " is assumed");
if is_refining then
mSGERRNL [< 'sTR"Warning: Variable "; 'sTR ident;
'sTR" is not visible from current goals" >]
end else begin
warning();
parameter_def_var ident c
end
(* 3| Mutual Inductive definitions *)
let minductive_message = function
| [] -> anomaly "no inductive definition"
| [x] -> [< print_id x; 'sTR " is defined">]
| l -> hOV 0 [< prlist_with_sep pr_coma print_id l;
'sPC; 'sTR "are defined">]
let recursive_message = function
| [] -> anomaly "no recursive definition"
| [x] -> [< print_id x; 'sTR " is recursively defined">]
| l -> hOV 0 [< prlist_with_sep pr_coma print_id l;
'sPC; 'sTR "are recursively defined">]
let corecursive_message = function
| [] -> anomaly "no corecursive definition"
| [x] -> [< print_id x; 'sTR " is corecursively defined">]
| l -> hOV 0 [< prlist_with_sep pr_coma print_id l;
'sPC; 'sTR "are corecursively defined">]
let put_DLAMSV_subst lid lc =
match lid with
| [] -> anomaly "put_DLAM"
| id::lrest ->
List.fold_left (fun c id' -> DLAM(Name id',subst_var id' c))
(DLAMV(Name id,Array.map (subst_var id) lc)) lrest
let build_mutual lparams lnamearconstrs finite =
let allnames =
List.fold_left
(fun acc (id,_,l) -> id::(List.map fst l)@acc) [] lnamearconstrs in
if not (list_distinct allnames) then
error "Two inductive objects have the same name";
let lrecnames = List.map (fun (x,_,_) -> x) lnamearconstrs
and nparams = List.length lparams
and sigma = Evd.empty
and env0 = Global.env() in
let mispecvec =
let (ind_env,arityl) =
List.fold_left
(fun (env,arl) (recname,arityc,_) ->
let arity =
typed_type_of_com Evd.empty env (mkProdCit lparams arityc) in
let env' = Environ.push_rel (Name recname,arity) env in
(env', (arity::arl)))
(env0,[]) lnamearconstrs
in
List.map2
(fun ar (name,_,lname_constr) ->
let consconstrl =
List.map
(fun (_,constr) -> interp_constr sigma ind_env
(mkProdCit lparams constr))
lname_constr
in
(name, (body_of_type ar), List.map fst lname_constr, consconstrl))
(List.rev arityl) lnamearconstrs
in
let mie = {
mind_entry_nparams = nparams;
mind_entry_finite = finite;
mind_entry_inds = mispecvec }
in
let sp = declare_mind mie in
if is_verbose() then pPNL(minductive_message lrecnames);
for i = 0 to List.length mispecvec - 1 do
declare_eliminations sp i
done
(* try to find non recursive definitions *)
let list_chop_hd i l = match list_chop i l with
| (l1,x::l2) -> (l1,x,l2)
| _ -> assert false
let collect_non_rec =
let rec searchrec lnonrec lnamerec ldefrec larrec nrec =
try
let i =
list_try_find_i
(fun i f ->
if List.for_all (fun def -> not (occur_var f def)) ldefrec
then i else failwith "try_find_i")
0 lnamerec
in
let (lf1,f,lf2) = list_chop_hd i lnamerec in
let (ldef1,def,ldef2) = list_chop_hd i ldefrec in
let (lar1,ar,lar2) = list_chop_hd i larrec in
let newlnv =
try
match list_chop i nrec with
| (lnv1,_::lnv2) -> (lnv1@lnv2)
| _ -> [] (* nrec=[] for cofixpoints *)
with Failure "list_chop" -> []
in
searchrec ((f,DOP2(Cast,def,body_of_type ar))::lnonrec)
(lf1@lf2) (ldef1@ldef2) (lar1@lar2) newlnv
with Failure "try_find_i" ->
(lnonrec, (lnamerec,ldefrec,larrec,nrec))
in
searchrec []
let build_recursive lnameargsardef =
let lrecnames = List.map (fun (f,_,_,_) -> f) lnameargsardef
and sigma = Evd.empty
and env0 = Global.env()
and nv = Array.of_list (List.map (fun (_,la,_,_) -> (List.length la) -1)
lnameargsardef)
in
let fs = States.freeze() in
let (rec_sign,arityl) =
try
List.fold_left
(fun (env,arl) (recname,lparams,arityc,_) ->
let arity = typed_type_of_com Evd.empty env (mkProdCit lparams arityc) in
declare_variable recname (body_of_type arity,NeverDischarge,false);
(Environ.push_var (recname,arity) env, (arity::arl)))
(env0,[]) lnameargsardef
with e ->
States.unfreeze fs; raise e
in
let recdef =
try
List.map (fun (_,lparams,arityc,def) ->
interp_constr sigma rec_sign
(mkLambdaCit lparams (mkCastC(def,arityc))))
lnameargsardef
with e ->
States.unfreeze fs; raise e
in
States.unfreeze fs;
let (lnonrec,(lnamerec,ldefrec,larrec,nvrec)) =
collect_non_rec lrecnames recdef (List.rev arityl) (Array.to_list nv) in
let n = NeverDischarge in
if lnamerec <> [] then begin
let recvec = [|put_DLAMSV_subst (List.rev lnamerec)
(Array.of_list ldefrec)|] in
let varrec = Array.of_list (List.map incast_type larrec) in
let rec declare i = function
| fi::lf ->
let ce =
{ const_entry_body =
Cooked (mkFixDlam (Array.of_list nvrec) i varrec recvec);
const_entry_type = None }
in
declare_constant fi (ce, n);
declare (i+1) lf
| _ -> ()
in
(* declare the recursive definitions *)
declare 0 lnamerec;
if is_verbose() then pPNL(recursive_message lnamerec)
end;
(* The others are declared as normal definitions *)
let var_subst id = (id, global_reference CCI id) in
let _ =
List.fold_left
(fun subst (f,def) ->
let ce = { const_entry_body = Cooked (Generic.replace_vars subst def);
const_entry_type = None } in
declare_constant f (ce,n);
warning ((string_of_id f)^" is non-recursively defined");
(var_subst f) :: subst)
(List.map var_subst lnamerec)
lnonrec
in
()
let build_corecursive lnameardef =
let lrecnames = List.map (fun (f,_,_) -> f) lnameardef
and sigma = Evd.empty
and env0 = Global.env() in
let fs = States.freeze() in
let (rec_sign,arityl) =
try
List.fold_left
(fun (env,arl) (recname,arityc,_) ->
let arity = typed_type_of_com Evd.empty env0 arityc in
declare_variable recname (body_of_type arity,NeverDischarge,false);
(Environ.push_var (recname,arity) env, (arity::arl)))
(env0,[]) lnameardef
with e ->
States.unfreeze fs; raise e
in
let recdef =
try
List.map (fun (_,arityc,def) ->
interp_constr sigma rec_sign
(mkCastC(def,arityc)))
lnameardef
with e ->
States.unfreeze fs; raise e
in
States.unfreeze fs;
let (lnonrec,(lnamerec,ldefrec,larrec,_)) =
collect_non_rec lrecnames recdef (List.rev arityl) [] in
let n = NeverDischarge in
if lnamerec <> [] then begin
let recvec =
if lnamerec = [] then
[||]
else
[|put_DLAMSV_subst (List.rev lnamerec) (Array.of_list ldefrec)|]
in
let varrec = Array.of_list (List.map incast_type larrec) in
let rec declare i = function
| fi::lf ->
let ce =
{ const_entry_body = Cooked (mkCoFixDlam i varrec recvec);
const_entry_type = None }
in
declare_constant fi (ce,n);
declare (i+1) lf
| _ -> ()
in
declare 0 lnamerec;
if is_verbose() then pPNL(corecursive_message lnamerec)
end;
let var_subst id = (id, global_reference CCI id) in
let _ =
List.fold_left
(fun subst (f,def) ->
let ce = { const_entry_body = Cooked (Generic.replace_vars subst def);
const_entry_type = None } in
declare_constant f (ce,n);
warning ((string_of_id f)^" is non-recursively defined");
(var_subst f) :: subst)
(List.map var_subst lnamerec)
lnonrec
in
()
let inductive_of_ident id =
let c =
try global_reference CCI id
with Not_found ->
errorlabstrm "inductive_of_ident"
[< 'sTR ((string_of_id id) ^ " not found") >]
in
match kind_of_term (global_reference CCI id) with
| IsMutInd ind -> ind
| _ -> errorlabstrm "inductive_of_ident"
[< 'sTR (string_of_id id); 'sPC; 'sTR "is not an inductive type" >]
let build_scheme lnamedepindsort =
let lrecnames = List.map (fun (f,_,_,_) -> f) lnamedepindsort
and sigma = Evd.empty
and env0 = Global.env() in
let lrecspec =
List.map (fun (_,dep,indid,sort) ->
let s = destSort (interp_constr sigma env0 sort) in
(inductive_of_ident indid,dep,s)) lnamedepindsort
in
let n = NeverDischarge in
let listdecl = Indrec.build_mutual_indrec env0 sigma lrecspec in
let rec declare decl fi =
let ce = { const_entry_body = Cooked decl; const_entry_type = None }
in declare_constant fi (ce,n)
in
List.iter2 declare listdecl lrecnames;
if is_verbose() then pPNL(recursive_message lrecnames)
let start_proof_com sopt stre com =
let env = Global.env () in
let id = match sopt with
| Some id -> id
| None ->
next_ident_away (id_of_string "Unnamed_thm")
(Pfedit.get_all_proof_names ())
in
Pfedit.start_proof id stre env (interp_type Evd.empty env com)
let save_named opacity =
let id,(const,strength) = Pfedit.release_proof () in
declare_constant id (const,strength);
if Options.is_verbose() then message ((string_of_id id) ^ " is defined")
let save_anonymous opacity save_ident strength =
let id,(const,_) = Pfedit.release_proof () in
if atompart_of_id id <> "Unnamed_thm" then
message("Overriding name "^(string_of_id id)^" and using "^save_ident);
declare_constant (id_of_string save_ident) (const,strength);
if Options.is_verbose() then message (save_ident ^ " is defined")
let save_anonymous_thm opacity id =
save_anonymous opacity id NeverDischarge
let save_anonymous_remark opacity id =
let path = try List.tl (List.tl (Lib.cwd())) with Failure _ -> [] in
save_anonymous opacity id (make_strength path)
let get_current_context () =
try Pfedit.get_current_goal_context ()
with e when Logic.catchable_exception e ->
(Evd.empty, Global.env())
|