1 (* Copyright (C) 2004-2005, HELM Team.
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4 * Library of Mathematics, developed at the Computer Science
5 * Department, University of Bologna, Italy.
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23 * http://helm.cs.unibo.it/
30 module Ast = CicNotationPt
31 module Env = CicNotationEnv
33 (* when set to true debugging information, not in sync with input syntax, will
34 * be added to the output of pp_term.
35 * set to false if you need, for example, cut and paste from matitac output to
37 let debug_printing = true
39 let pp_binder = function
46 if debug_printing then
47 (function (* debugging version *)
48 | `Symbol s -> sprintf "symbol(%s)" s
49 | `Keyword s -> sprintf "keyword(%s)" s
50 | `Number s -> sprintf "number(%s)" s)
59 | Gramext.NonA -> "NonA"
60 | Gramext.LeftA -> "LeftA"
61 | Gramext.RightA -> "RightA"
65 (* `None -> "`None" *)
72 | `IdRef id -> sprintf "x(%s)" id
76 (List.map (fun (_, n, v) -> sprintf "%s=%s" n v) attrs))
77 | `Level (prec, assoc) -> sprintf "L(%d%s)" prec (pp_assoc assoc)
80 | `ChildPos p -> sprintf "P(%s)" (pp_pos p)
82 let rec pp_term ?(pp_parens = true) t =
85 | Ast.AttributedTerm (attr, term) when debug_printing ->
86 sprintf "%s[%s]" (pp_attribute attr) (pp_term ~pp_parens:false term)
87 | Ast.AttributedTerm (`Raw text, _) -> text
88 | Ast.AttributedTerm (_, term) -> pp_term ~pp_parens:false term
90 sprintf "%s" (String.concat " " (List.map pp_term terms))
91 | Ast.Binder (`Forall, (Ast.Ident ("_", None), typ), body)
92 | Ast.Binder (`Pi, (Ast.Ident ("_", None), typ), body) ->
94 (match typ with None -> "?" | Some typ -> pp_term typ)
96 | Ast.Binder (kind, var, body) ->
97 sprintf "\\%s %s.%s" (pp_binder kind) (pp_capture_variable var)
99 | Ast.Case (term, indtype, typ, patterns) ->
100 sprintf "%smatch %s%s with %s"
101 (match typ with None -> "" | Some t -> sprintf "[%s]" (pp_term t))
105 | Some (ty, href_opt) ->
106 sprintf " in %s%s" ty
107 (match debug_printing, href_opt with
109 sprintf "(i.e.%s)" (UriManager.string_of_uri uri)
111 (pp_patterns patterns)
112 | Ast.Cast (t1, t2) -> sprintf "(%s: %s)" (pp_term t1) (pp_term t2)
113 | Ast.LetIn (var, t1, t2) ->
114 sprintf "let %s = %s in %s" (pp_capture_variable var) (pp_term t1)
116 | Ast.LetRec (kind, definitions, term) ->
117 sprintf "let %s %s in %s"
118 (match kind with `Inductive -> "rec" | `CoInductive -> "corec")
119 (String.concat " and "
121 (fun (var, body, _) ->
122 sprintf "%s = %s" (pp_capture_variable var) (pp_term body))
125 | Ast.Ident (name, Some []) | Ast.Ident (name, None)
126 | Ast.Uri (name, Some []) | Ast.Uri (name, None) ->
128 | Ast.Ident (name, Some substs)
129 | Ast.Uri (name, Some substs) ->
130 sprintf "%s \\subst [%s]" name (pp_substs substs)
131 | Ast.Implicit -> "?"
132 | Ast.Meta (index, substs) ->
133 sprintf "%d[%s]" index
135 (List.map (function None -> "_" | Some t -> pp_term t) substs))
136 | Ast.Num (num, _) -> num
137 | Ast.Sort `Set -> "Set"
138 | Ast.Sort `Prop -> "Prop"
139 | Ast.Sort (`Type _) -> "Type"
140 | Ast.Sort `CProp -> "CProp"
141 | Ast.Symbol (name, _) -> "'" ^ name
143 | Ast.UserInput -> ""
145 | Ast.Literal l -> pp_literal l
146 | Ast.Layout l -> pp_layout l
147 | Ast.Magic m -> pp_magic m
148 | Ast.Variable v -> pp_variable v
150 if pp_parens then sprintf "(%s)" t_pp
153 and pp_subst (name, term) = sprintf "%s \\Assign %s" name (pp_term term)
154 and pp_substs substs = String.concat "; " (List.map pp_subst substs)
156 and pp_pattern ((head, href, vars), term) =
159 (match debug_printing, href with
160 | true, Some uri -> sprintf "(i.e.%s)" (UriManager.string_of_uri uri)
163 sprintf "%s \\Rightarrow %s"
167 sprintf "(%s %s)" head_pp
168 (String.concat " " (List.map pp_capture_variable vars)))
171 and pp_patterns patterns =
172 sprintf "[%s]" (String.concat " | " (List.map pp_pattern patterns))
174 and pp_capture_variable = function
175 | term, None -> pp_term term
176 | term, Some typ -> "(" ^ pp_term term ^ ": " ^ pp_term typ ^ ")"
178 and pp_box_spec (kind, spacing, indent) =
179 let int_of_bool b = if b then 1 else 0 in
182 Ast.H -> "H" | Ast.V -> "V" | Ast.HV -> "HV" | Ast.HOV -> "HOV"
184 sprintf "%sBOX%d%d" kind_string (int_of_bool spacing) (int_of_bool indent)
186 and pp_layout = function
187 | Ast.Sub (t1, t2) -> sprintf "%s \\SUB %s" (pp_term t1) (pp_term t2)
188 | Ast.Sup (t1, t2) -> sprintf "%s \\SUP %s" (pp_term t1) (pp_term t2)
189 | Ast.Below (t1, t2) -> sprintf "%s \\BELOW %s" (pp_term t1) (pp_term t2)
190 | Ast.Above (t1, t2) -> sprintf "%s \\ABOVE %s" (pp_term t1) (pp_term t2)
191 | Ast.Over (t1, t2) -> sprintf "[%s \\OVER %s]" (pp_term t1) (pp_term t2)
192 | Ast.Atop (t1, t2) -> sprintf "[%s \\ATOP %s]" (pp_term t1) (pp_term t2)
193 | Ast.Frac (t1, t2) -> sprintf "\\FRAC %s %s" (pp_term t1) (pp_term t2)
194 | Ast.Sqrt t -> sprintf "\\SQRT %s" (pp_term t)
195 | Ast.Root (arg, index) ->
196 sprintf "\\ROOT %s \\OF %s" (pp_term index) (pp_term arg)
197 | Ast.Break -> "\\BREAK"
198 (* | Space -> "\\SPACE" *)
199 | Ast.Box (box_spec, terms) ->
200 sprintf "\\%s [%s]" (pp_box_spec box_spec)
201 (String.concat " " (List.map pp_term terms))
203 sprintf "\\GROUP [%s]" (String.concat " " (List.map pp_term terms))
205 and pp_magic = function
206 | Ast.List0 (t, sep_opt) ->
207 sprintf "list0 %s%s" (pp_term t) (pp_sep_opt sep_opt)
208 | Ast.List1 (t, sep_opt) ->
209 sprintf "list1 %s%s" (pp_term t) (pp_sep_opt sep_opt)
210 | Ast.Opt t -> sprintf "opt %s" (pp_term t)
211 | Ast.Fold (kind, p_base, names, p_rec) ->
212 let acc = match names with acc :: _ -> acc | _ -> assert false in
213 sprintf "fold %s %s rec %s %s"
214 (pp_fold_kind kind) (pp_term p_base) acc (pp_term p_rec)
215 | Ast.Default (p_some, p_none) ->
216 sprintf "default %s %s" (pp_term p_some) (pp_term p_none)
217 | Ast.If (p_test, p_true, p_false) ->
218 sprintf "if %s then %s else %s"
219 (pp_term p_test) (pp_term p_true) (pp_term p_false)
222 and pp_fold_kind = function
226 and pp_sep_opt = function
228 | Some sep -> sprintf " sep %s" (pp_literal sep)
230 and pp_variable = function
231 | Ast.NumVar s -> "number " ^ s
232 | Ast.IdentVar s -> "ident " ^ s
233 | Ast.TermVar s -> "term " ^ s
234 | Ast.Ascription (t, n) -> assert false
235 | Ast.FreshVar n -> "fresh " ^ n
237 let pp_term t = pp_term ~pp_parens:false t
239 let pp_params = function
245 (fun (name, typ) -> sprintf "(%s:%s)" name (pp_term typ))
248 let pp_flavour = function
249 | `Definition -> "Definition"
253 | `Remark -> "Remark"
254 | `Theorem -> "Theorem"
255 | `Variant -> "Variant"
257 let pp_fields fields =
258 (if fields <> [] then "\n" else "") ^
261 (fun (name,ty,coercion) ->
262 " " ^ name ^ if coercion then ":>" else ": " ^ pp_term ty) fields)
264 let pp_obj = function
265 | Ast.Inductive (params, types) ->
266 let pp_constructors constructors =
268 (List.map (fun (name, typ) -> sprintf "| %s: %s" name (pp_term typ))
271 let pp_type (name, _, typ, constructors) =
272 sprintf "\nwith %s: %s \\def\n%s" name (pp_term typ)
273 (pp_constructors constructors)
277 | (name, inductive, typ, constructors) :: tl ->
279 sprintf "%sinductive %s%s: %s \\def\n%s"
280 (if inductive then "" else "co") name (pp_params params)
281 (pp_term typ) (pp_constructors constructors)
283 fst_typ_pp ^ String.concat "" (List.map pp_type tl))
284 | Ast.Theorem (flavour, name, typ, body) ->
285 sprintf "%s %s: %s %s"
291 | Some body -> "\\def " ^ pp_term body)
292 | Ast.Record (params,name,ty,fields) ->
293 "record " ^ name ^ " " ^ pp_params params ^ " \\def {" ^
294 pp_fields fields ^ "}"
296 let rec pp_value = function
297 | Env.TermValue t -> sprintf "$%s$" (pp_term t)
298 | Env.StringValue s -> sprintf "\"%s\"" s
299 | Env.NumValue n -> n
300 | Env.OptValue (Some v) -> "Some " ^ pp_value v
301 | Env.OptValue None -> "None"
302 | Env.ListValue l -> sprintf "[%s]" (String.concat "; " (List.map pp_value l))
304 let rec pp_value_type =
306 | Env.TermType -> "Term"
307 | Env.StringType -> "String"
308 | Env.NumType -> "Number"
309 | Env.OptType t -> "Maybe " ^ pp_value_type t
310 | Env.ListType l -> "List " ^ pp_value_type l
315 (fun (name, (ty, value)) ->
316 sprintf "%s : %s = %s" name (pp_value_type ty) (pp_value value))
319 let rec pp_cic_appl_pattern = function
320 | Ast.UriPattern uri -> UriManager.string_of_uri uri
321 | Ast.VarPattern name -> name
322 | Ast.ImplicitPattern -> "_"
323 | Ast.ApplPattern aps ->
324 sprintf "(%s)" (String.concat " " (List.map pp_cic_appl_pattern aps))