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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22 * For details, see the HELM World-Wide-Web page,
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 | _ -> raise CicPpInternalError
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.map (function None -> "_" | Some t -> pp t l) l1) ^
93 C.Name n -> "(" ^ n ^ ":" ^ pp s l ^ ")" ^ pp t ((Some b)::l)
94 | C.Anonymous -> "(" ^ pp s l ^ "->" ^ pp t ((Some b)::l) ^ ")"
96 | C.Cast (v,t) -> pp v l
98 "[" ^ string_of_name b ^ ":" ^ pp s l ^ "]" ^ pp t ((Some b)::l)
100 "[" ^ string_of_name b ^ ":=" ^ pp s l ^ "]" ^ pp t ((Some b)::l)
104 (fun x i -> pp x l ^ (match i with "" -> "" | _ -> " ") ^ i)
107 | C.Const (uri,exp_named_subst) ->
108 UriManager.name_of_uri uri ^ pp_exp_named_subst exp_named_subst l
109 | C.MutInd (uri,n,exp_named_subst) ->
111 match CicEnvironment.get_obj uri with
112 C.InductiveDefinition (dl,_,_) ->
113 let (name,_,_,_) = get_nth dl (n+1) in
114 name ^ pp_exp_named_subst exp_named_subst l
115 | _ -> raise CicPpInternalError
117 _ -> UriManager.string_of_uri uri ^ "#1/" ^ string_of_int n
119 | C.MutConstruct (uri,n1,n2,exp_named_subst) ->
121 match CicEnvironment.get_obj uri with
122 C.InductiveDefinition (dl,_,_) ->
123 let (_,_,_,cons) = get_nth dl (n1+1) in
124 let (id,_) = get_nth cons n2 in
125 id ^ pp_exp_named_subst exp_named_subst l
126 | _ -> raise CicPpInternalError
129 UriManager.string_of_uri uri ^ "#1/" ^ string_of_int n1 ^ "/" ^
132 | C.MutCase (uri,n1,ty,te,patterns) ->
134 (match CicEnvironment.get_obj uri with
135 C.InductiveDefinition (dl,_,_) ->
136 let (_,_,_,cons) = get_nth dl (n1+1) in
137 List.map (fun (id,_) -> id) cons
138 | _ -> raise CicPpInternalError
141 "\n<" ^ pp ty l ^ ">Cases " ^ pp te l ^ " of " ^
142 List.fold_right (fun (x,y) i -> "\n " ^ x ^ " => " ^ pp y l ^ i)
143 (List.combine connames patterns) "" ^
145 | C.Fix (no, funs) ->
146 let snames = List.map (fun (name,_,_,_) -> name) funs in
148 List.rev (List.map (function name -> Some (C.Name name)) snames)
150 "\nFix " ^ get_nth snames (no + 1) ^ " {" ^
152 (fun (name,ind,ty,bo) i -> "\n" ^ name ^ " / " ^ string_of_int ind ^
153 " : " ^ pp ty l ^ " := \n" ^
157 | C.CoFix (no,funs) ->
158 let snames = List.map (fun (name,_,_) -> name) funs in
160 List.rev (List.map (function name -> Some (C.Name name)) snames)
162 "\nCoFix " ^ get_nth snames (no + 1) ^ " {" ^
164 (fun (name,ty,bo) i -> "\n" ^ name ^
165 " : " ^ pp ty l ^ " := \n" ^
169 and pp_exp_named_subst exp_named_subst l =
170 if exp_named_subst = [] then "" else
172 String.concat " ; " (
174 (function (uri,t) -> UriManager.name_of_uri uri ^ ":=" ^ pp t l)
183 (* ppinductiveType (typename, inductive, arity, cons) *)
184 (* pretty-prints a single inductive definition *)
185 (* (typename, inductive, arity, cons) *)
186 let ppinductiveType (typename, inductive, arity, cons) =
187 (if inductive then "\nInductive " else "\nCoInductive ") ^ typename ^ ": " ^
188 pp arity [] ^ " =\n " ^
190 (fun (id,ty) i -> id ^ " : " ^ pp ty [] ^
191 (if i = "" then "\n" else "\n | ") ^ i)
195 (* ppobj obj returns a string with describing the cic object obj in a syntax *)
196 (* similar to the one used by Coq *)
198 let module C = Cic in
199 let module U = UriManager in
201 C.Constant (name, Some t1, t2, params) ->
202 "Definition of " ^ name ^
203 "(" ^ String.concat ";" (List.map UriManager.string_of_uri params) ^
204 ")" ^ ":\n" ^ pp t1 [] ^ " : " ^ pp t2 []
205 | C.Constant (name, None, ty, params) ->
207 "(" ^ String.concat ";" (List.map UriManager.string_of_uri params) ^
209 | C.Variable (name, bo, ty, params) ->
211 "(" ^ String.concat ";" (List.map UriManager.string_of_uri params) ^
214 (match bo with None -> "" | Some bo -> ":= " ^ pp bo [])
215 | C.CurrentProof (name, conjectures, value, ty, params) ->
216 "Current Proof of " ^ name ^
217 "(" ^ String.concat ";" (List.map UriManager.string_of_uri params) ^
219 let separate s = if s = "" then "" else s ^ " ; " in
221 (fun (n, context, t) i ->
222 let conjectures',name_context =
224 (fun context_entry (i,name_context) ->
225 (match context_entry with
226 Some (n,C.Decl at) ->
228 string_of_name n ^ ":" ^ pp at name_context ^ " ",
229 (Some n)::name_context
230 | Some (n,C.Def at) ->
232 string_of_name n ^ ":= " ^ pp at name_context ^ " ",
233 (Some n)::name_context
235 (separate i) ^ "_ :? _ ", None::name_context)
238 conjectures' ^ " |- " ^ "?" ^ (string_of_int n) ^ ": " ^
239 pp t name_context ^ "\n" ^ i
241 "\n" ^ pp value [] ^ " : " ^ pp ty []
242 | C.InductiveDefinition (l, params, nparams) ->
244 String.concat ";" (List.map UriManager.string_of_uri params) ^ "\n" ^
245 "NParams = " ^ string_of_int nparams ^ "\n" ^
246 List.fold_right (fun x i -> ppinductiveType x ^ i) l ""