(* Copyright (C) 2000, HELM Team. * * This file is part of HELM, an Hypertextual, Electronic * Library of Mathematics, developed at the Computer Science * Department, University of Bologna, Italy. * * HELM is free software; you can redistribute it and/or * modify it under the terms of the GNU General Public License * as published by the Free Software Foundation; either version 2 * of the License, or (at your option) any later version. * * HELM is distributed in the hope that it will be useful, * but WITHOUT ANY WARRANTY; without even the implied warranty of * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the * GNU General Public License for more details. * * You should have received a copy of the GNU General Public License * along with HELM; if not, write to the Free Software * Foundation, Inc., 59 Temple Place - Suite 330, Boston, * MA 02111-1307, USA. * * For details, see the HELM World-Wide-Web page, * http://cs.unibo.it/helm/. *) (* $Id: cicPp.ml 7413 2007-05-29 15:30:53Z tassi $ *) exception CicExportationInternalError;; exception NotEnoughElements;; (* *) let is_mcu_type u = UriManager.eq (UriManager.uri_of_string "cic:/matita/freescale/opcode/mcu_type.ind") u ;; (* Utility functions *) let analyze_term context t = match fst(CicTypeChecker.type_of_aux' [] context t CicUniv.oblivion_ugraph)with | Cic.Sort _ -> `Type | Cic.MutInd (u,0,_) when is_mcu_type u -> `Optimize | ty -> match fst (CicTypeChecker.type_of_aux' [] context ty CicUniv.oblivion_ugraph) with | Cic.Sort Cic.Prop -> `Proof | _ -> `Term ;; let analyze_type context t = let rec aux = function Cic.Sort s -> `Sort s | Cic.MutInd (u,0,_) when is_mcu_type u -> `Optimize | Cic.Prod (_,_,t) -> aux t | _ -> `SomethingElse in match aux t with `Sort _ | `Optimize as res -> res | `SomethingElse -> match fst(CicTypeChecker.type_of_aux' [] context t CicUniv.oblivion_ugraph) with Cic.Sort Cic.Prop -> `Statement | _ -> `Type ;; let ppid = let reserved = [ "to"; "mod"; "val"; "in"; "function" ] in function n -> let n = String.uncapitalize n in if List.mem n reserved then n ^ "_" else n ;; let ppname = function Cic.Name s -> ppid s | Cic.Anonymous -> "_" ;; (* get_nth l n returns the nth element of the list l if it exists or *) (* raises NotEnoughElements if l has less than n elements *) let rec get_nth l n = match (n,l) with (1, he::_) -> he | (n, he::tail) when n > 1 -> get_nth tail (n-1) | (_,_) -> raise NotEnoughElements ;; let qualified_name_of_uri current_module_uri ?(capitalize=false) uri = let name = if capitalize then String.capitalize (UriManager.name_of_uri uri) else ppid (UriManager.name_of_uri uri) in let filename = let suri = UriManager.buri_of_uri uri in let s = String.sub suri 5 (String.length suri - 5) in let s = Pcre.replace ~pat:"/" ~templ:"_" s in String.uncapitalize s in if current_module_uri = UriManager.buri_of_uri uri then name else String.capitalize filename ^ "." ^ name ;; let current_go_up = ref "(.!(";; let at_level2 f x = try current_go_up := "(.~("; let rc = f x in current_go_up := "(.!("; rc with exn -> current_go_up := "(.!("; raise exn ;; let pp current_module_uri ?metasenv ~in_type = let rec pp ~in_type t context = let module C = Cic in match t with C.Rel n -> begin try (match get_nth context n with Some (C.Name s,_) -> ppid s | Some (C.Anonymous,_) -> "__" ^ string_of_int n | None -> "_hidden_" ^ string_of_int n ) with NotEnoughElements -> string_of_int (List.length context - n) end | C.Var (uri,exp_named_subst) -> qualified_name_of_uri current_module_uri uri ^ pp_exp_named_subst exp_named_subst context | C.Meta (n,l1) -> (match metasenv with None -> "?" ^ (string_of_int n) ^ "[" ^ String.concat " ; " (List.rev_map (function None -> "_" | Some t -> pp ~in_type:false t context) l1) ^ "]" | Some metasenv -> try let _,context,_ = CicUtil.lookup_meta n metasenv in "?" ^ (string_of_int n) ^ "[" ^ String.concat " ; " (List.rev (List.map2 (fun x y -> match x,y with _, None | None, _ -> "_" | Some _, Some t -> pp ~in_type:false t context ) context l1)) ^ "]" with CicUtil.Meta_not_found _ | Invalid_argument _ -> "???" ^ (string_of_int n) ^ "[" ^ String.concat " ; " (List.rev_map (function None -> "_" | Some t -> pp ~in_type:false t context) l1) ^ "]" ) | C.Sort s -> (match s with C.Prop -> "Prop" | C.Set -> "Set" | C.Type _ -> "Type" (*| C.Type u -> ("Type" ^ CicUniv.string_of_universe u)*) | C.CProp -> "CProp" ) | C.Implicit (Some `Hole) -> "%" | C.Implicit _ -> "?" | C.Prod (b,s,t) -> (match b with C.Name n -> let n = "'" ^ String.uncapitalize n in "(" ^ pp ~in_type:true s context ^ " -> " ^ pp ~in_type:true t ((Some (Cic.Name n,Cic.Decl s))::context) ^ ")" | C.Anonymous -> "(" ^ pp ~in_type:true s context ^ " -> " ^ pp ~in_type:true t ((Some (b,Cic.Decl s))::context) ^ ")") | C.Cast (v,t) -> pp ~in_type v context | C.Lambda (b,s,t) -> (match analyze_type context s with `Sort _ | `Statement -> pp ~in_type t ((Some (b,Cic.Decl s))::context) | `Optimize -> prerr_endline "XXX lambda";assert false | `Type -> "(function " ^ ppname b ^ " -> " ^ pp ~in_type t ((Some (b,Cic.Decl s))::context) ^ ")") | C.LetIn (b,s,ty,t) -> (match analyze_term context s with | `Type | `Proof -> pp ~in_type t ((Some (b,Cic.Def (s,ty)))::context) | `Optimize | `Term -> "(let " ^ ppname b ^ (*" : " ^ pp ~in_type:true ty context ^*) " = " ^ pp ~in_type:false s context ^ " in " ^ pp ~in_type t ((Some (b,Cic.Def (s,ty)))::context) ^ ")") | C.Appl (he::tl) when in_type -> let hes = pp ~in_type he context in let stl = String.concat "," (clean_args_for_ty context tl) in (if stl = "" then "" else "(" ^ stl ^ ") ") ^ hes | C.Appl (C.MutInd _ as he::tl) -> let hes = pp ~in_type he context in let stl = String.concat "," (clean_args_for_ty context tl) in (if stl = "" then "" else "(" ^ stl ^ ") ") ^ hes | C.Appl (C.MutConstruct (uri,n,_,_) as he::tl) -> let nparams = match fst(CicEnvironment.get_obj CicUniv.oblivion_ugraph uri) with C.InductiveDefinition (_,_,nparams,_) -> nparams | _ -> assert false in let hes = pp ~in_type he context in let stl = String.concat "," (clean_args_for_constr nparams context tl) in "(" ^ hes ^ (if stl = "" then "" else "(" ^ stl ^ ")") ^ ")" | C.Appl li -> "(" ^ String.concat " " (clean_args context li) ^ ")" | C.Const (uri,exp_named_subst) -> qualified_name_of_uri current_module_uri uri ^ pp_exp_named_subst exp_named_subst context | C.MutInd (uri,n,exp_named_subst) -> (try match fst(CicEnvironment.get_obj CicUniv.oblivion_ugraph uri) with C.InductiveDefinition (dl,_,_,_) -> let (name,_,_,_) = get_nth dl (n+1) in qualified_name_of_uri current_module_uri (UriManager.uri_of_string (UriManager.buri_of_uri uri ^ "/" ^ name ^ ".con")) ^ pp_exp_named_subst exp_named_subst context | _ -> raise CicExportationInternalError with Sys.Break as exn -> raise exn | _ -> UriManager.string_of_uri uri ^ "#1/" ^ string_of_int (n + 1) ) | C.MutConstruct (uri,n1,n2,exp_named_subst) -> (try match fst(CicEnvironment.get_obj CicUniv.oblivion_ugraph uri) with C.InductiveDefinition (dl,_,_,_) -> let _,_,_,cons = get_nth dl (n1+1) in let id,_ = get_nth cons n2 in qualified_name_of_uri current_module_uri ~capitalize:true (UriManager.uri_of_string (UriManager.buri_of_uri uri ^ "/" ^ id ^ ".con")) ^ pp_exp_named_subst exp_named_subst context | _ -> raise CicExportationInternalError with Sys.Break as exn -> raise exn | _ -> UriManager.string_of_uri uri ^ "#1/" ^ string_of_int (n1 + 1) ^ "/" ^ string_of_int n2 ) | C.MutCase (uri,n1,ty,te,patterns) -> if in_type then "unit (* TOO POLYMORPHIC TYPE *)" else ( let rec needs_obj_magic ty = match CicReduction.whd context ty with | Cic.Lambda (_,_,(Cic.Lambda(_,_,_) as t)) -> needs_obj_magic t | Cic.Lambda (_,_,t) -> not (DoubleTypeInference.does_not_occur 1 t) | _ -> false (* it can be a Rel, e.g. in *_rec *) in let needs_obj_magic = needs_obj_magic ty in (match analyze_term context te with `Type -> assert false | `Proof -> (match patterns with [] -> "assert false" (* empty type elimination *) | [he] -> pp ~in_type:false he context (* singleton elimination *) | _ -> assert false) | `Optimize | `Term -> if patterns = [] then "assert false" else (let connames_and_argsno, go_up, go_pu, go_down, go_nwod = (match fst(CicEnvironment.get_obj CicUniv.oblivion_ugraph uri) with C.InductiveDefinition (dl,_,paramsno,_) -> let (_,_,_,cons) = get_nth dl (n1+1) in let rc = List.map (fun (id,ty) -> (* this is just an approximation since we do not have reduction yet! *) let rec count_prods toskip = function C.Prod (_,_,bo) when toskip > 0 -> count_prods (toskip - 1) bo | C.Prod (_,_,bo) -> 1 + count_prods 0 bo | _ -> 0 in qualified_name_of_uri current_module_uri ~capitalize:true (UriManager.uri_of_string (UriManager.buri_of_uri uri ^ "/" ^ id ^ ".con")), count_prods paramsno ty ) cons in if not (is_mcu_type uri) then rc, "","","","" else rc, !current_go_up, "))", "( .< (", " ) >.)" | _ -> raise CicExportationInternalError ) in let connames_and_argsno_and_patterns = let rec combine = function [],[] -> [] | (x,no)::tlx,y::tly -> (x,no,y)::(combine (tlx,tly)) | _,_ -> assert false in combine (connames_and_argsno,patterns) in go_up ^ "\n(match " ^ pp ~in_type:false te context ^ " with \n " ^ (String.concat "\n | " (List.map (fun (x,argsno,y) -> let rec aux argsno context = function Cic.Lambda (name,ty,bo) when argsno > 0 -> let name = match name with Cic.Anonymous -> Cic.Anonymous | Cic.Name n -> Cic.Name (ppid n) in let args,res = aux (argsno - 1) (Some (name,Cic.Decl ty)::context) bo in (match analyze_type context ty with | `Optimize -> prerr_endline "XXX contructor with l2 arg"; assert false | `Statement | `Sort _ -> args,res | `Type -> (match name with C.Anonymous -> "_" | C.Name s -> s)::args,res) | t when argsno = 0 -> [],pp ~in_type:false t context | t -> ["{" ^ string_of_int argsno ^ " args missing}"], pp ~in_type:false t context in let pattern,body = if argsno = 0 then x,pp ~in_type:false y context else let args,body = aux argsno context y in let sargs = String.concat "," args in x ^ (if sargs = "" then "" else "(" ^ sargs^ ")"), body in pattern ^ " -> " ^ go_down ^ (if needs_obj_magic then "Obj.magic (" ^ body ^ ")" else body) ^ go_nwod ) connames_and_argsno_and_patterns)) ^ ")\n"^go_pu))) | C.Fix (no, funs) -> let names,_ = List.fold_left (fun (types,len) (n,_,ty,_) -> (Some (C.Name n,(C.Decl (CicSubstitution.lift len ty)))::types, len+1) ) ([],0) funs in "let rec " ^ List.fold_right (fun (name,ind,ty,bo) i -> name ^ " = \n" ^ pp ~in_type:false bo (names@context) ^ i) funs "" ^ " in " ^ (match get_nth names (no + 1) with Some (Cic.Name n,_) -> n | _ -> assert false) | C.CoFix (no,funs) -> let names,_ = List.fold_left (fun (types,len) (n,ty,_) -> (Some (C.Name n,(C.Decl (CicSubstitution.lift len ty)))::types, len+1) ) ([],0) funs in "\nCoFix " ^ " {" ^ List.fold_right (fun (name,ty,bo) i -> "\n" ^ name ^ " : " ^ pp ~in_type:true ty context ^ " := \n" ^ pp ~in_type:false bo (names@context) ^ i) funs "" ^ "}\n" and pp_exp_named_subst exp_named_subst context = if exp_named_subst = [] then "" else "\\subst[" ^ String.concat " ; " ( List.map (function (uri,t) -> UriManager.name_of_uri uri ^ " \\Assign " ^ pp ~in_type:false t context) exp_named_subst ) ^ "]" and clean_args_for_constr nparams context = let nparams = ref nparams in HExtlib.filter_map (function t -> decr nparams; match analyze_term context t with `Term when !nparams < 0 -> Some (pp ~in_type:false t context) | `Optimize | `Term | `Type | `Proof -> None) and clean_args context = function | [] | [_] -> assert false | he::arg1::tl as l -> let head_arg1, rest = match analyze_term context arg1 with | `Optimize -> !current_go_up :: pp ~in_type:false he context :: pp ~in_type:false arg1 context :: ["))"], tl | _ -> [], l in head_arg1 @ HExtlib.filter_map (function t -> match analyze_term context t with | `Term -> Some (pp ~in_type:false t context) | `Optimize -> prerr_endline "XXX function taking twice (or not as first) a l2 term"; assert false | `Type | `Proof -> None) rest and clean_args_for_ty context = HExtlib.filter_map (function t -> match analyze_term context t with `Type -> Some (pp ~in_type:true t context) | `Optimize -> None | `Proof -> None | `Term -> None) in pp ~in_type ;; let ppty current_module_uri = (* nparams is the number of left arguments left arguments should either become parameters or be skipped altogether *) let rec args nparams context = function Cic.Prod (n,s,t) -> let n = match n with Cic.Anonymous -> Cic.Anonymous | Cic.Name n -> Cic.Name (String.uncapitalize n) in (match analyze_type context s with | `Optimize | `Statement | `Sort Cic.Prop -> args (nparams - 1) ((Some (n,Cic.Decl s))::context) t | `Type when nparams > 0 -> args (nparams - 1) ((Some (n,Cic.Decl s))::context) t | `Type -> let abstr,args = args (nparams - 1) ((Some (n,Cic.Decl s))::context) t in abstr,pp ~in_type:true current_module_uri s context::args | `Sort _ when nparams <= 0 -> let n = Cic.Name "unit (* EXISTENTIAL TYPE *)" in args (nparams - 1) ((Some (n,Cic.Decl s))::context) t | `Sort _ -> let n = match n with Cic.Anonymous -> Cic.Anonymous | Cic.Name name -> Cic.Name ("'" ^ name) in let abstr,args = args (nparams - 1) ((Some (n,Cic.Decl s))::context) t in (match n with Cic.Anonymous -> abstr | Cic.Name name -> name::abstr), args) | _ -> [],[] in args ;; exception DoNotExtract;; let pp_abstracted_ty current_module_uri = let rec args context = function Cic.Lambda (n,s,t) -> let n = match n with Cic.Anonymous -> Cic.Anonymous | Cic.Name n -> Cic.Name (String.uncapitalize n) in (match analyze_type context s with | `Optimize | `Statement | `Type | `Sort Cic.Prop -> args ((Some (n,Cic.Decl s))::context) t | `Sort _ -> let n = match n with Cic.Anonymous -> Cic.Anonymous | Cic.Name name -> Cic.Name ("'" ^ name) in let abstr,res = args ((Some (n,Cic.Decl s))::context) t in (match n with Cic.Anonymous -> abstr | Cic.Name name -> name::abstr), res) | ty -> match analyze_type context ty with | `Optimize -> prerr_endline "XXX abstracted l2 ty"; assert false | `Sort _ | `Statement -> raise DoNotExtract | `Type -> (* BUG HERE: this can be a real System F type *) let head = pp ~in_type:true current_module_uri ty context in [],head in args ;; (* ppinductiveType (typename, inductive, arity, cons) *) (* pretty-prints a single inductive definition *) (* (typename, inductive, arity, cons) *) let ppinductiveType current_module_uri nparams (typename, inductive, arity, cons) = match analyze_type [] arity with `Sort Cic.Prop -> "" | `Optimize | `Statement | `Type -> assert false | `Sort _ -> if cons = [] then "type " ^ String.uncapitalize typename ^ " = unit (* empty type *)\n" else ( let abstr,scons = List.fold_right (fun (id,ty) (_abstr,i) -> (* we should verify _abstr = abstr' *) let abstr',sargs = ppty current_module_uri nparams [] ty in let sargs = String.concat " * " sargs in abstr', String.capitalize id ^ (if sargs = "" then "" else " of " ^ sargs) ^ (if i = "" then "" else "\n | ") ^ i) cons ([],"") in let abstr = let s = String.concat "," abstr in if s = "" then "" else "(" ^ s ^ ") " in "type " ^ abstr ^ String.uncapitalize typename ^ " =\n" ^ scons ^ "\n") ;; let ppobj current_module_uri obj = let module C = Cic in let module U = UriManager in let pp ~in_type = pp ~in_type current_module_uri in match obj with C.Constant (name, Some t1, t2, params, _) -> (match analyze_type [] t2 with | `Sort Cic.Prop | `Statement -> "" | `Optimize | `Type -> (match t1 with | Cic.Lambda (Cic.Name arg, s, t) -> (match analyze_type [] s with | `Optimize -> "let " ^ ppid name ^ "__1 = function " ^ ppid arg ^ " -> .< " ^ at_level2 (pp ~in_type:false t) [Some (Cic.Name arg, Cic.Decl s)] ^ " >. ;;\n" ^ "let " ^ ppid name ^ "__2 = ref ([] : (unit list*unit list) list);;\n" ^ "let " ^ ppid name ^ " = function " ^ ppid arg ^ " -> (try ignore (List.assoc "^ppid arg^" (Obj.magic !"^ppid name ^"__2)) with Not_found -> "^ppid name^"__2 := (Obj.magic (" ^ ppid arg^",.! ("^ppid name^"__1 "^ppid arg^")))::!" ^ppid name^"__2); .< List.assoc "^ppid arg^" (Obj.magic (!" ^ppid name^"__2)) >.\n;;\n" ^" let xxx = prerr_endline \""^ppid name^"\"; .!("^ppid name^" Matita_freescale_opcode.HCS08)" | _ -> "let " ^ ppid name ^ " =\n" ^ pp ~in_type:false t1 [] ^ "\n") | _ -> "let " ^ ppid name ^ " =\n" ^ pp ~in_type:false t1 [] ^ "\n") | `Sort _ -> match analyze_type [] t1 with `Sort Cic.Prop -> "" | `Optimize -> prerr_endline "XXX aliasing l2 type"; assert false | _ -> (try let abstr,res = pp_abstracted_ty current_module_uri [] t1 in let abstr = let s = String.concat "," abstr in if s = "" then "" else "(" ^ s ^ ") " in "type " ^ abstr ^ ppid name ^ " = " ^ res ^ "\n" with DoNotExtract -> "")) | C.Constant (name, None, ty, params, _) -> (match analyze_type [] ty with `Sort Cic.Prop | `Optimize -> prerr_endline "XXX axiom l2"; assert false | `Statement -> "" | `Sort _ -> "type " ^ ppid name ^ "\n" | `Type -> "let " ^ ppid name ^ " = assert false\n") | C.Variable (name, bo, ty, params, _) -> "Variable " ^ name ^ "(" ^ String.concat ";" (List.map UriManager.string_of_uri params) ^ ")" ^ ":\n" ^ pp ~in_type:true ty [] ^ "\n" ^ (match bo with None -> "" | Some bo -> ":= " ^ pp ~in_type:false bo []) | C.CurrentProof (name, conjectures, value, ty, params, _) -> "Current Proof of " ^ name ^ "(" ^ String.concat ";" (List.map UriManager.string_of_uri params) ^ ")" ^ ":\n" ^ let separate s = if s = "" then "" else s ^ " ; " in List.fold_right (fun (n, context, t) i -> let conjectures',name_context = List.fold_right (fun context_entry (i,name_context) -> (match context_entry with Some (n,C.Decl at) -> (separate i) ^ ppname n ^ ":" ^ pp ~in_type:true ~metasenv:conjectures at name_context ^ " ", context_entry::name_context | Some (n,C.Def (at,aty)) -> (separate i) ^ ppname n ^ ":" ^ pp ~in_type:true ~metasenv:conjectures aty name_context ^ ":= " ^ pp ~in_type:false ~metasenv:conjectures at name_context ^ " ", context_entry::name_context | None -> (separate i) ^ "_ :? _ ", context_entry::name_context) ) context ("",[]) in conjectures' ^ " |- " ^ "?" ^ (string_of_int n) ^ ": " ^ pp ~in_type:true ~metasenv:conjectures t name_context ^ "\n" ^ i ) conjectures "" ^ "\n" ^ pp ~in_type:false ~metasenv:conjectures value [] ^ " : " ^ pp ~in_type:true ~metasenv:conjectures ty [] | C.InductiveDefinition (l, params, nparams, _) -> List.fold_right (fun x i -> ppinductiveType current_module_uri nparams x ^ i) l "" ;; let ppobj current_module_uri obj = let res = ppobj current_module_uri obj in if res = "" then "" else res ^ ";;\n\n" ;;