1 (* Copyright (C) 2000, HELM Team.
3 * This file is part of HELM, an Hypertextual, Electronic
4 * Library of Mathematics, developed at the Computer Science
5 * Department, University of Bologna, Italy.
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23 * http://cs.unibo.it/helm/.
26 (******************************************************************************)
30 (* Claudio Sacerdoti Coen <sacerdot@cs.unibo.it> *)
33 (* This module implements a very simple Coq-like pretty printer that, given *)
34 (* an object of cic (internal representation) returns a string describing the *)
35 (* object in a syntax similar to that of coq *)
37 (******************************************************************************)
39 exception CicPpInternalError;;
40 exception NotEnoughElements;;
42 (* Utility functions *)
47 | Cic.Anonymous -> "_"
50 (* get_nth l n returns the nth element of the list l if it exists or *)
51 (* raises NotEnoughElements if l has less than n elements *)
55 | (n, he::tail) when n > 1 -> get_nth tail (n-1)
56 | (_,_) -> raise NotEnoughElements
60 (* pretty-prints a term t of cic in an environment l where l is a list of *)
61 (* identifier names used to resolve DeBrujin indexes. The head of l is the *)
62 (* name associated to the greatest DeBrujin index in t *)
69 (match get_nth l n with
71 | Some C.Anonymous -> "__" ^ string_of_int n
72 | None -> "_hidden_" ^ string_of_int n
75 NotEnoughElements -> string_of_int (List.length l - n)
77 | C.Var (uri,exp_named_subst) ->
78 UriManager.string_of_uri (*UriManager.name_of_uri*) uri ^ pp_exp_named_subst exp_named_subst l
80 "?" ^ (string_of_int n) ^ "[" ^
82 (List.rev_map (function None -> "_" | Some t -> pp t l) l1) ^
89 (*| C.Type u -> ("Type" ^ CicUniv.string_of_universe u)*)
95 C.Name n -> "(" ^ n ^ ":" ^ pp s l ^ ")" ^ pp t ((Some b)::l)
96 | C.Anonymous -> "(" ^ pp s l ^ "->" ^ pp t ((Some b)::l) ^ ")"
98 | C.Cast (v,t) -> "(" ^ pp v l ^ ":" ^ pp t l ^ ")"
100 "[" ^ ppname b ^ ":" ^ pp s l ^ "]" ^ pp t ((Some b)::l)
102 "[" ^ ppname b ^ ":=" ^ pp s l ^ "]" ^ pp t ((Some b)::l)
106 (fun x i -> pp x l ^ (match i with "" -> "" | _ -> " ") ^ i)
109 | C.Const (uri,exp_named_subst) ->
110 UriManager.name_of_uri uri ^ pp_exp_named_subst exp_named_subst l
111 | C.MutInd (uri,n,exp_named_subst) ->
113 match fst(CicEnvironment.get_obj CicUniv.empty_ugraph uri) with
114 C.InductiveDefinition (dl,_,_,_) ->
115 let (name,_,_,_) = get_nth dl (n+1) in
116 name ^ pp_exp_named_subst exp_named_subst l
117 | _ -> raise CicPpInternalError
119 _ -> UriManager.string_of_uri uri ^ "#1/" ^ string_of_int (n + 1)
121 | C.MutConstruct (uri,n1,n2,exp_named_subst) ->
123 match fst(CicEnvironment.get_obj CicUniv.empty_ugraph uri) with
124 C.InductiveDefinition (dl,_,_,_) ->
125 let (_,_,_,cons) = get_nth dl (n1+1) in
126 let (id,_) = get_nth cons n2 in
127 id ^ pp_exp_named_subst exp_named_subst l
128 | _ -> raise CicPpInternalError
131 UriManager.string_of_uri uri ^ "#1/" ^ string_of_int (n1 + 1) ^ "/" ^
134 | C.MutCase (uri,n1,ty,te,patterns) ->
136 (match fst(CicEnvironment.get_obj CicUniv.empty_ugraph uri) with
137 C.InductiveDefinition (dl,_,_,_) ->
138 let (_,_,_,cons) = get_nth dl (n1+1) in
139 List.map (fun (id,_) -> id) cons
140 | _ -> raise CicPpInternalError
143 "\n<" ^ pp ty l ^ ">Cases " ^ pp te l ^ " of " ^
144 List.fold_right (fun (x,y) i -> "\n " ^ x ^ " => " ^ pp y l ^ i)
145 (List.combine connames patterns) "" ^
147 | C.Fix (no, funs) ->
148 let snames = List.map (fun (name,_,_,_) -> name) funs in
150 List.rev (List.map (function name -> Some (C.Name name)) snames)
152 "\nFix " ^ get_nth snames (no + 1) ^ " {" ^
154 (fun (name,ind,ty,bo) i -> "\n" ^ name ^ " / " ^ string_of_int ind ^
155 " : " ^ pp ty l ^ " := \n" ^
159 | C.CoFix (no,funs) ->
160 let snames = List.map (fun (name,_,_) -> name) funs in
162 List.rev (List.map (function name -> Some (C.Name name)) snames)
164 "\nCoFix " ^ get_nth snames (no + 1) ^ " {" ^
166 (fun (name,ty,bo) i -> "\n" ^ name ^
167 " : " ^ pp ty l ^ " := \n" ^
171 and pp_exp_named_subst exp_named_subst l =
172 if exp_named_subst = [] then "" else
174 String.concat " ; " (
176 (function (uri,t) -> UriManager.name_of_uri uri ^ ":=" ^ pp t l)
185 (* ppinductiveType (typename, inductive, arity, cons) *)
186 (* pretty-prints a single inductive definition *)
187 (* (typename, inductive, arity, cons) *)
188 let ppinductiveType (typename, inductive, arity, cons) =
189 (if inductive then "\nInductive " else "\nCoInductive ") ^ typename ^ ": " ^
190 pp arity [] ^ " =\n " ^
192 (fun (id,ty) i -> id ^ " : " ^ pp ty [] ^
193 (if i = "" then "\n" else "\n | ") ^ i)
197 let ppcontext ?(sep = "\n") context =
198 let separate s = if s = "" then "" else s ^ sep in
200 (fun context_entry (i,name_context) ->
201 match context_entry with
202 Some (n,Cic.Decl t) ->
203 Printf.sprintf "%s%s : %s" (separate i) (ppname n)
204 (pp t name_context), (Some n)::name_context
205 | Some (n,Cic.Def (bo,ty)) ->
206 Printf.sprintf "%s%s : %s := %s" (separate i) (ppname n)
209 | Some ty -> pp ty name_context)
210 (pp bo name_context), (Some n)::name_context
212 Printf.sprintf "%s_ :? _" (separate i), None::name_context
215 (* ppobj obj returns a string with describing the cic object obj in a syntax *)
216 (* similar to the one used by Coq *)
218 let module C = Cic in
219 let module U = UriManager in
221 C.Constant (name, Some t1, t2, params, _) ->
222 "Definition of " ^ name ^
223 "(" ^ String.concat ";" (List.map UriManager.string_of_uri params) ^
224 ")" ^ ":\n" ^ pp t1 [] ^ " : " ^ pp t2 []
225 | C.Constant (name, None, ty, params, _) ->
227 "(" ^ String.concat ";" (List.map UriManager.string_of_uri params) ^
229 | C.Variable (name, bo, ty, params, _) ->
231 "(" ^ String.concat ";" (List.map UriManager.string_of_uri params) ^
234 (match bo with None -> "" | Some bo -> ":= " ^ pp bo [])
235 | C.CurrentProof (name, conjectures, value, ty, params, _) ->
236 "Current Proof of " ^ name ^
237 "(" ^ String.concat ";" (List.map UriManager.string_of_uri params) ^
239 let separate s = if s = "" then "" else s ^ " ; " in
241 (fun (n, context, t) i ->
242 let conjectures',name_context =
244 (fun context_entry (i,name_context) ->
245 (match context_entry with
246 Some (n,C.Decl at) ->
248 ppname n ^ ":" ^ pp at name_context ^ " ",
249 (Some n)::name_context
250 | Some (n,C.Def (at,None)) ->
252 ppname n ^ ":= " ^ pp at name_context ^ " ",
253 (Some n)::name_context
255 (separate i) ^ "_ :? _ ", None::name_context
259 conjectures' ^ " |- " ^ "?" ^ (string_of_int n) ^ ": " ^
260 pp t name_context ^ "\n" ^ i
262 "\n" ^ pp value [] ^ " : " ^ pp ty []
263 | C.InductiveDefinition (l, params, nparams, _) ->
265 String.concat ";" (List.map UriManager.string_of_uri params) ^ "\n" ^
266 "NParams = " ^ string_of_int nparams ^ "\n" ^
267 List.fold_right (fun x i -> ppinductiveType x ^ i) l ""
270 let ppsort = function
273 | Cic.Type _ -> "Type"
274 | Cic.CProp -> "CProp"