1 (* Copyright (C) 2004-2005, 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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8 * modify it under the terms of the GNU General Public License
9 * as published by the Free Software Foundation; either version 2
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15 * GNU General Public License for more details.
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19 * Foundation, Inc., 59 Temple Place - Suite 330, Boston,
22 * For details, see the HELM World-Wide-Web page,
23 * http://helm.cs.unibo.it/
26 module Ast = CicNotationPt
28 let visit_ast ?(special_k = fun _ -> assert false) k =
29 let rec aux = function
30 | Ast.Appl terms -> Ast.Appl (List.map k terms)
31 | Ast.Binder (kind, var, body) ->
32 Ast.Binder (kind, aux_capture_variable var, k body)
33 | Ast.Case (term, indtype, typ, patterns) ->
34 Ast.Case (k term, indtype, aux_opt typ, aux_patterns patterns)
35 | Ast.Cast (t1, t2) -> Ast.Cast (k t1, k t2)
36 | Ast.LetIn (var, t1, t2) ->
37 Ast.LetIn (aux_capture_variable var, k t1, k t2)
38 | Ast.LetRec (kind, definitions, term) ->
41 (fun (var, ty, n) -> aux_capture_variable var, k ty, n)
44 Ast.LetRec (kind, definitions, k term)
45 | Ast.Ident (name, Some substs) ->
46 Ast.Ident (name, Some (aux_substs substs))
47 | Ast.Uri (name, Some substs) -> Ast.Uri (name, Some (aux_substs substs))
48 | Ast.Meta (index, substs) -> Ast.Meta (index, List.map aux_opt substs)
49 | (Ast.AttributedTerm _
53 | Ast.Variable _) as t -> special_k t
60 | Ast.UserInput) as t -> t
61 and aux_opt = function
63 | Some term -> Some (k term)
64 and aux_capture_variable (term, typ_opt) = k term, aux_opt typ_opt
65 and aux_patterns patterns = List.map aux_pattern patterns
66 and aux_pattern ((head, hrefs, vars), term) =
67 ((head, hrefs, List.map aux_capture_variable vars), k term)
68 and aux_subst (name, term) = (name, k term)
69 and aux_substs substs = List.map aux_subst substs
73 let visit_layout k = function
74 | Ast.Sub (t1, t2) -> Ast.Sub (k t1, k t2)
75 | Ast.Sup (t1, t2) -> Ast.Sup (k t1, k t2)
76 | Ast.Below (t1, t2) -> Ast.Below (k t1, k t2)
77 | Ast.Above (t1, t2) -> Ast.Above (k t1, k t2)
78 | Ast.Over (t1, t2) -> Ast.Over (k t1, k t2)
79 | Ast.Atop (t1, t2) -> Ast.Atop (k t1, k t2)
80 | Ast.Frac (t1, t2) -> Ast.Frac (k t1, k t2)
81 | Ast.Sqrt t -> Ast.Sqrt (k t)
82 | Ast.Root (arg, index) -> Ast.Root (k arg, k index)
83 | Ast.Break -> Ast.Break
84 | Ast.Box (kind, terms) -> Ast.Box (kind, List.map k terms)
85 | Ast.Group terms -> Ast.Group (List.map k terms)
87 let visit_magic k = function
88 | Ast.List0 (t, l) -> Ast.List0 (k t, l)
89 | Ast.List1 (t, l) -> Ast.List1 (k t, l)
90 | Ast.Opt t -> Ast.Opt (k t)
91 | Ast.Fold (kind, t1, names, t2) -> Ast.Fold (kind, k t1, names, k t2)
92 | Ast.Default (t1, t2) -> Ast.Default (k t1, k t2)
93 | Ast.If (t1, t2, t3) -> Ast.If (k t1, k t2, k t3)
94 | Ast.Fail -> Ast.Fail
96 let visit_variable k = function
100 | Ast.FreshVar _ as t -> t
101 | Ast.Ascription (t, s) -> Ast.Ascription (k t, s)
103 let variables_of_term t =
104 let rec vars = ref [] in
106 if List.mem v !vars then ()
107 else vars := v :: !vars
109 let rec aux = function
110 | Ast.Magic m -> Ast.Magic (visit_magic aux m)
111 | Ast.Layout l -> Ast.Layout (visit_layout aux l)
112 | Ast.Variable v -> Ast.Variable (aux_variable v)
113 | Ast.Literal _ as t -> t
114 | Ast.AttributedTerm (_, t) -> aux t
115 | t -> visit_ast aux t
116 and aux_variable = function
119 | Ast.TermVar _) as t ->
122 | Ast.FreshVar _ as t -> t
123 | Ast.Ascription _ -> assert false
128 let names_of_term t =
135 List.map aux (variables_of_term t)
137 let keywords_of_term t =
138 let rec keywords = ref [] in
139 let add_keyword k = keywords := k :: !keywords in
140 let rec aux = function
141 | Ast.AttributedTerm (_, t) -> aux t
142 | Ast.Layout l -> Ast.Layout (visit_layout aux l)
143 | Ast.Literal (`Keyword k) as t ->
146 | Ast.Literal _ as t -> t
147 | Ast.Magic m -> Ast.Magic (visit_magic aux m)
148 | Ast.Variable _ as v -> v
149 | t -> visit_ast aux t
154 let rec strip_attributes t =
155 let special_k = function
156 | Ast.AttributedTerm (_, term) -> strip_attributes term
157 | Ast.Magic m -> Ast.Magic (visit_magic strip_attributes m)
158 | Ast.Variable _ as t -> t
161 visit_ast ~special_k strip_attributes t
163 let meta_names_of_term term =
164 let rec names = ref [] in
166 if List.mem n !names then ()
167 else names := n :: !names
169 let rec aux = function
170 | Ast.AttributedTerm (_, term) -> aux term
171 | Ast.Appl terms -> List.iter aux terms
172 | Ast.Binder (_, _, body) -> aux body
173 | Ast.Case (term, indty, outty_opt, patterns) ->
176 List.iter aux_branch patterns
177 | Ast.LetIn (_, t1, t2) ->
180 | Ast.LetRec (_, definitions, body) ->
181 List.iter aux_definition definitions ;
183 | Ast.Uri (_, Some substs) -> aux_substs substs
184 | Ast.Ident (_, Some substs) -> aux_substs substs
185 | Ast.Meta (_, substs) -> aux_meta_substs substs
193 | Ast.UserInput -> ()
195 | Ast.Magic magic -> aux_magic magic
196 | Ast.Variable var -> aux_variable var
199 and aux_opt = function
200 | Some term -> aux term
202 and aux_capture_var (_, ty_opt) = aux_opt ty_opt
203 and aux_branch (pattern, term) =
204 aux_pattern pattern ;
206 and aux_pattern (head, _, vars) =
207 List.iter aux_capture_var vars
208 and aux_definition (var, term, i) =
209 aux_capture_var var ;
211 and aux_substs substs = List.iter (fun (_, term) -> aux term) substs
212 and aux_meta_substs meta_substs = List.iter aux_opt meta_substs
213 and aux_variable = function
214 | Ast.NumVar name -> add_name name
215 | Ast.IdentVar name -> add_name name
216 | Ast.TermVar name -> add_name name
217 | Ast.FreshVar _ -> ()
218 | Ast.Ascription _ -> assert false
219 and aux_magic = function
220 | Ast.Default (t1, t2)
221 | Ast.Fold (_, t1, _, t2) ->
224 | Ast.If (t1, t2, t3) ->
234 let rectangular matrix =
235 let columns = Array.length matrix.(0) in
237 Array.iter (fun a -> if Array.length a <> columns then raise Exit) matrix;
242 let matrix = Array.of_list (List.map Array.of_list ll) in
243 assert (rectangular matrix);
244 let rows = Array.length matrix in
245 let columns = Array.length matrix.(0) in
246 let lists = ref [] in
247 for j = 0 to columns - 1 do
249 for i = 0 to rows - 1 do
250 l := matrix.(i).(j) :: !l
252 lists := List.rev !l :: !lists
256 let string_of_literal = function
261 let boxify = function
263 | l -> Ast.Layout (Ast.Box ((Ast.H, false, false), l))
265 let unboxify = function
266 | Ast.Layout (Ast.Box ((Ast.H, false, false), [ a ])) -> a
271 | l -> Ast.Layout (Ast.Group l)
277 | Ast.Layout (Ast.Group terms) :: terms' -> aux acc (terms @ terms')
278 | term :: terms -> aux (term :: acc) terms
282 let dress ~sep:sauce =
287 | hd :: tl -> hd :: sauce :: aux tl
291 let dressn ~sep:sauces =
296 | hd :: tl -> hd :: sauces @ aux tl
300 let find_appl_pattern_uris ap =
303 | Ast.UriPattern uri ->
305 ignore (List.find (fun uri' -> UriManager.eq uri uri') acc);
307 with Not_found -> uri :: acc)
308 | Ast.ImplicitPattern
309 | Ast.VarPattern _ -> acc
310 | Ast.ApplPattern apl -> List.fold_left aux acc apl
314 let rec find_branch =
316 Ast.Magic (Ast.If (_, Ast.Magic Ast.Fail, t)) -> find_branch t
317 | Ast.Magic (Ast.If (_, t, _)) -> find_branch t
320 let cic_name_of_name = function
321 | Ast.Ident ("_", None) -> Cic.Anonymous
322 | Ast.Ident (name, None) -> Cic.Name name
325 let name_of_cic_name =
326 (* let add_dummy_xref t = Ast.AttributedTerm (`IdRef "", t) in *)
327 (* ZACK why we used to generate dummy xrefs? *)
328 let add_dummy_xref t = t in
330 | Cic.Name s -> add_dummy_xref (Ast.Ident (s, None))
331 | Cic.Anonymous -> add_dummy_xref (Ast.Ident ("_", None))
333 let fresh_index = ref ~-1
335 type notation_id = int
341 (* TODO ensure that names generated by fresh_var do not clash with user's *)
342 let fresh_name () = "fresh" ^ string_of_int (fresh_id ())
344 let rec freshen_term ?(index = ref 0) term =
345 let freshen_term = freshen_term ~index in
346 let fresh_instance () = incr index; !index in
347 let special_k = function
348 | Ast.AttributedTerm (attr, t) -> Ast.AttributedTerm (attr, freshen_term t)
349 | Ast.Layout l -> Ast.Layout (visit_layout freshen_term l)
350 | Ast.Magic m -> Ast.Magic (visit_magic freshen_term m)
351 | Ast.Variable v -> Ast.Variable (visit_variable freshen_term v)
352 | Ast.Literal _ as t -> t
356 | Ast.Symbol (s, instance) -> Ast.Symbol (s, fresh_instance ())
357 | Ast.Num (s, instance) -> Ast.Num (s, fresh_instance ())
358 | t -> visit_ast ~special_k freshen_term t
360 let freshen_obj obj =
362 let freshen_term = freshen_term ~index in
363 let freshen_name_ty = List.map (fun (n, t) -> (n, freshen_term t)) in
365 | GrafiteAst.Inductive (params, indtypes) ->
368 (fun (n, co, ty, ctors) -> (n, co, ty, freshen_name_ty ctors))
371 GrafiteAst.Inductive (freshen_name_ty params, indtypes)
372 | GrafiteAst.Theorem (flav, n, t, ty_opt) ->
374 match ty_opt with None -> None | Some ty -> Some (freshen_term ty)
376 GrafiteAst.Theorem (flav, n, freshen_term t, ty_opt)
377 | GrafiteAst.Record (params, n, ty, fields) ->
378 GrafiteAst.Record (freshen_name_ty params, n, freshen_term ty,
379 freshen_name_ty fields)
381 let freshen_term = freshen_term ?index:None