1 (* Copyright (C) 2004, 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.
7 * HELM is free software; you can redistribute it and/or
8 * modify it under the terms of the GNU General Public License
9 * as published by the Free Software Foundation; either version 2
10 * of the License, or (at your option) any later version.
12 * HELM is distributed in the hope that it will be useful,
13 * but WITHOUT ANY WARRANTY; without even the implied warranty of
14 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
15 * GNU General Public License for more details.
17 * You should have received a copy of the GNU General Public License
18 * along with HELM; if not, write to the Free Software
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/
30 let tactical_terminator = ""
31 let tactic_terminator = tactical_terminator
32 let command_terminator = tactical_terminator
34 let pp_idents idents =
35 let map = function Some s -> s | None -> "_" in
36 "(" ^ String.concat " " (List.map map idents) ^ ")"
37 let pp_hyps idents = String.concat " " idents
39 let pp_reduction_kind ~term_pp = function
40 | `Normalize -> "normalize"
42 | `Simpl -> "simplify"
43 | `Unfold (Some t) -> "unfold " ^ term_pp t
44 | `Unfold None -> "unfold"
47 let pp_tactic_pattern ~map_unicode_to_tex ~term_pp ~lazy_term_pp (what, hyp, goal) =
48 if what = None && hyp = [] && goal = None then "" else
52 | Some t -> Printf.sprintf "in match (%s) " (lazy_term_pp t) in
55 (List.map (fun (name, p) -> Printf.sprintf "%s:(%s)" name (term_pp p)) hyp) in
60 let vdash = if map_unicode_to_tex then "\\vdash" else "⊢" in
61 Printf.sprintf "%s (%s)" vdash (term_pp t)
63 Printf.sprintf "%sin %s%s" what_text hyp_text goal_text
65 let pp_intros_specs s = function
67 | Some num, [] -> Printf.sprintf " %s%i" s num
68 | None, idents -> Printf.sprintf " %s%s" s (pp_idents idents)
69 | Some num, idents -> Printf.sprintf " %s%i %s" s num (pp_idents idents)
71 let pp_terms ~term_pp terms = String.concat ", " (List.map term_pp terms)
73 let opt_string_pp = function
75 | Some what -> what ^ " "
77 let pp_auto_params ~term_pp (univ, params) =
79 (List.map (fun (k,v) -> if v <> "" then k ^ "=" ^ v else k) params) ^
81 (if params <> [] then " " else "") ^ "by " ^
82 String.concat " " (List.map term_pp univ)
86 let pp_just ~term_pp =
88 `Term term -> "exact " ^ term_pp term
89 | `Auto params -> pp_auto_params ~term_pp params
92 let pp_ntactic ~map_unicode_to_tex = function
93 | NApply (_,t) -> "napply " ^ CicNotationPp.pp_term t
94 | NCases (_,what,where) -> "ncases " ^ CicNotationPp.pp_term what ^
95 assert false ^ " " ^ assert false
96 | NCase1 (_,n) -> "*" ^ n ^ ":"
97 | NChange (_,what,wwhat) -> "nchange " ^ assert false ^
98 " with " ^ CicNotationPp.pp_term wwhat
99 | NElim (_,what,where) -> "nelim " ^ CicNotationPp.pp_term what ^
100 assert false ^ " " ^ assert false
102 | NIntro (_,n) -> "#" ^ n
105 let rec pp_tactic ~map_unicode_to_tex ~term_pp ~lazy_term_pp =
106 let pp_terms = pp_terms ~term_pp in
107 let pp_tactics = pp_tactics ~map_unicode_to_tex ~term_pp ~lazy_term_pp in
108 let pp_reduction_kind = pp_reduction_kind ~term_pp in
109 let pp_tactic_pattern =
110 pp_tactic_pattern ~map_unicode_to_tex ~lazy_term_pp ~term_pp in
113 (* Higher order tactics *)
114 | Do (_, count, tac) ->
115 Printf.sprintf "do %d %s" count (pp_tactic tac)
116 | Repeat (_, tac) -> "repeat " ^ pp_tactic tac
117 | Seq (_, tacs) -> pp_tactics ~sep:"; " tacs
118 | Then (_, tac, tacs) ->
119 Printf.sprintf "%s; [%s]" (pp_tactic tac)
120 (pp_tactics ~sep:" | " tacs)
122 Printf.sprintf "tries [%s]" (pp_tactics ~sep:" | " tacs)
123 | Try (_, tac) -> "try " ^ pp_tactic tac
125 Printf.sprintf "solve [%s]" (pp_tactics ~sep:" | " tac)
126 | Progress (_, tac) -> "progress " ^ pp_tactic tac
127 (* First order tactics *)
128 | Absurd (_, term) -> "absurd" ^ term_pp term
129 | Apply (_, term) -> "apply " ^ term_pp term
130 | ApplyRule (_, term) -> "apply rule " ^ term_pp term
131 | ApplyP (_, term) -> "applyP " ^ term_pp term
132 | ApplyS (_, term, params) ->
133 "applyS " ^ term_pp term ^ pp_auto_params ~term_pp params
134 | AutoBatch (_,params) -> "autobatch " ^
135 pp_auto_params ~term_pp params
136 | Assumption _ -> "assumption"
137 | Cases (_, term, pattern, specs) ->
138 Printf.sprintf "cases %s %s%s"
140 (pp_tactic_pattern pattern)
141 (pp_intros_specs "names " specs)
142 | Change (_, where, with_what) ->
143 Printf.sprintf "change %s with %s" (pp_tactic_pattern where) (lazy_term_pp with_what)
144 | Clear (_,ids) -> Printf.sprintf "clear %s" (pp_hyps ids)
145 | ClearBody (_,id) -> Printf.sprintf "clearbody %s" (pp_hyps [id])
146 | Constructor (_,n) -> "constructor " ^ string_of_int n
147 | Compose (_,t1, t2, times, intro_specs) ->
148 Printf.sprintf "compose %s%s %s%s"
149 (if times > 0 then string_of_int times ^ " " else "")
150 (term_pp t1) (match t2 with None -> "" | Some t2 -> "with "^term_pp t2)
151 (pp_intros_specs " as " intro_specs)
152 | Contradiction _ -> "contradiction"
153 | Cut (_, ident, term) ->
154 "cut " ^ term_pp term ^
155 (match ident with None -> "" | Some id -> " as " ^ id)
156 | Decompose (_, names) ->
157 Printf.sprintf "decompose%s"
158 (pp_intros_specs "names " (None, names))
159 | Demodulate (_, params) -> "demodulate " ^ pp_auto_params ~term_pp params
160 | Destruct (_, None) -> "destruct"
161 | Destruct (_, Some terms) -> "destruct " ^ pp_terms terms
162 | Elim (_, what, using, pattern, specs) ->
163 Printf.sprintf "elim %s%s %s%s"
165 (match using with None -> "" | Some term -> " using " ^ term_pp term)
166 (pp_tactic_pattern pattern)
167 (pp_intros_specs "names " specs)
168 | ElimType (_, term, using, specs) ->
169 Printf.sprintf "elim type %s%s%s"
171 (match using with None -> "" | Some term -> " using " ^ term_pp term)
172 (pp_intros_specs "names " specs)
173 | Exact (_, term) -> "exact " ^ term_pp term
174 | Exists _ -> "exists"
175 | Fold (_, kind, term, pattern) ->
176 Printf.sprintf "fold %s %s %s" (pp_reduction_kind kind)
177 (lazy_term_pp term) (pp_tactic_pattern pattern)
178 | FwdSimpl (_, hyp, names) ->
179 Printf.sprintf "fwd %s%s" hyp (pp_intros_specs "names " (None, names))
180 | Generalize (_, pattern, ident) ->
181 Printf.sprintf "generalize %s%s" (pp_tactic_pattern pattern)
182 (match ident with None -> "" | Some id -> " as " ^ id)
184 | Fourier _ -> "fourier"
186 | Intros (_, specs) -> Printf.sprintf "intros%s" (pp_intros_specs "" specs)
187 | Inversion (_, term) -> "inversion " ^ term_pp term
188 | LApply (_, linear, level_opt, terms, term, ident_opt) ->
189 Printf.sprintf "lapply %s%s%s%s%s"
190 (if linear then " linear " else "")
191 (match level_opt with None -> "" | Some i -> " depth = " ^ string_of_int i ^ " ")
193 (match terms with [] -> "" | _ -> " to " ^ pp_terms terms)
194 (match ident_opt with None -> "" | Some ident -> " as " ^ ident)
196 | LetIn (_, term, ident) ->
197 Printf.sprintf "letin %s \\def %s" ident (term_pp term)
198 | Reduce (_, kind, pat) ->
199 Printf.sprintf "%s %s" (pp_reduction_kind kind) (pp_tactic_pattern pat)
200 | Reflexivity _ -> "reflexivity"
201 | Replace (_, pattern, t) ->
202 Printf.sprintf "replace %s with %s" (pp_tactic_pattern pattern) (lazy_term_pp t)
203 | Rewrite (_, pos, t, pattern, names) ->
204 Printf.sprintf "rewrite %s %s %s%s"
205 (if pos = `LeftToRight then ">" else "<")
207 (pp_tactic_pattern pattern)
208 (if names = [] then "" else " as " ^ pp_idents names)
212 | Symmetry _ -> "symmetry"
213 | Transitivity (_, term) -> "transitivity " ^ term_pp term
214 (* Tattiche Aggiunte *)
215 | Assume (_, ident , term) -> "assume" ^ ident ^ ":" ^ term_pp term
216 | Suppose (_, term, ident,term1) -> "suppose" ^ term_pp term ^ "(" ^ ident ^ ")" ^ (match term1 with None -> " " | Some term1 -> term_pp term1)
217 | Bydone (_, just) -> pp_just ~term_pp just ^ "done"
218 | By_just_we_proved (_, just, term1, ident, term2) -> pp_just ~term_pp just ^ "we proved" ^ term_pp term1 ^ (match ident with None -> "" | Some ident -> "(" ^ident^ ")") ^
219 (match term2 with None -> " " | Some term2 -> term_pp term2)
220 | We_need_to_prove (_, term, ident, term1) -> "we need to prove" ^ term_pp term ^ (match ident with None -> "" | Some ident -> "(" ^ ident ^ ")") ^ (match term1 with None -> " " | Some term1 -> term_pp term1)
221 | We_proceed_by_cases_on (_, term, term1) -> "we proceed by cases on" ^ term_pp term ^ "to prove" ^ term_pp term1
222 | We_proceed_by_induction_on (_, term, term1) -> "we proceed by induction on" ^ term_pp term ^ "to prove" ^ term_pp term1
223 | Byinduction (_, term, ident) -> "by induction hypothesis we know" ^ term_pp term ^ "(" ^ ident ^ ")"
224 | Thesisbecomes (_, term) -> "the thesis becomes " ^ term_pp term
225 | ExistsElim (_, just, ident, term, ident1, term1) -> pp_just ~term_pp just ^ "let " ^ ident ^ ":" ^ term_pp term ^ "such that " ^ lazy_term_pp term1 ^ "(" ^ ident1 ^ ")"
226 | AndElim (_, just, ident1, term1, ident2, term2) -> pp_just ~term_pp just ^ "we have " ^ term_pp term1 ^ " (" ^ ident1 ^ ") " ^ "and " ^ term_pp term2 ^ " (" ^ ident2 ^ ")"
227 | RewritingStep (_, term, term1, term2, cont) ->
230 | Some (None,term) -> "conclude " ^ term_pp term
231 | Some (Some name,term) ->
232 "obtain (" ^ name ^ ") " ^ term_pp term)
236 | `Auto params -> pp_auto_params ~term_pp params
237 | `Term term2 -> " exact " ^ term_pp term2
239 | `SolveWith term -> " using " ^ term_pp term)
240 ^ (if cont then " done" else "")
241 | Case (_, id, args) ->
244 (List.map (function (id,term) -> "(" ^ id ^ ": " ^ term_pp term ^ ")")
248 and pp_tactics ~map_unicode_to_tex ~term_pp ~lazy_term_pp ~sep tacs =
250 (List.map (pp_tactic ~map_unicode_to_tex ~lazy_term_pp ~term_pp) tacs)
252 let pp_search_kind = function
253 | `Locate -> "locate"
257 | `Instance -> "instance"
259 let pp_arg ~term_pp arg =
260 let s = term_pp arg in
261 if s = "" || (s.[0] = '(' && s.[String.length s - 1] = ')') then
262 (* _nice_ heuristic *)
267 let pp_macro ~term_pp ~lazy_term_pp =
268 let term_pp = pp_arg ~term_pp in
269 let style_pp = function
271 | Procedural None -> "procedural "
272 | Procedural (Some i) -> Printf.sprintf "procedural %u " i
274 let prefix_pp prefix =
275 if prefix = "" then "" else Printf.sprintf " \"%s\"" prefix
277 let flavour_pp = function
279 | Some `Definition -> " as definition"
280 | Some `MutualDefinition -> " as mutual"
281 | Some `Fact -> " as fact"
282 | Some `Lemma -> " as lemma"
283 | Some `Remark -> " as remark"
284 | Some `Theorem -> " as theorem"
285 | Some `Variant -> " as variant"
286 | Some `Axiom -> " as axiom"
288 let pp_reduction_kind = pp_reduction_kind ~term_pp:lazy_term_pp in
291 | WInstance (_, term) -> "whelp instance " ^ term_pp term
292 | WHint (_, t) -> "whelp hint " ^ term_pp t
293 | WLocate (_, s) -> "whelp locate \"" ^ s ^ "\""
294 | WElim (_, t) -> "whelp elim " ^ term_pp t
295 | WMatch (_, term) -> "whelp match " ^ term_pp term
297 | Eval (_, kind, term) ->
298 Printf.sprintf "eval %s on %s" (pp_reduction_kind kind) (term_pp term)
299 | Check (_, term) -> Printf.sprintf "check %s" (term_pp term)
300 | Hint (_, true) -> "hint rewrite"
301 | Hint (_, false) -> "hint"
302 | AutoInteractive (_,params) -> "auto " ^ pp_auto_params ~term_pp params
303 | Inline (_, style, suri, prefix, flavour) ->
304 Printf.sprintf "inline %s\"%s\"%s%s" (style_pp style) suri (prefix_pp prefix) (flavour_pp flavour)
306 let pp_associativity = function
307 | Gramext.LeftA -> "left associative"
308 | Gramext.RightA -> "right associative"
309 | Gramext.NonA -> "non associative"
311 let pp_precedence i = Printf.sprintf "with precedence %d" i
313 let pp_dir_opt = function
315 | Some `LeftToRight -> "> "
316 | Some `RightToLeft -> "< "
318 let pp_default what uris =
319 Printf.sprintf "default \"%s\" %s" what
320 (String.concat " " (List.map UriManager.string_of_uri uris))
322 let pp_coercion ~term_pp t do_composites arity saturations=
323 Printf.sprintf "coercion %s %d %d %s"
324 (term_pp t) arity saturations
325 (if do_composites then "" else "nocomposites")
327 let pp_command ~term_pp ~obj_pp = function
328 | Index (_,_,uri) -> "Indexing " ^ UriManager.string_of_uri uri
329 | Coercion (_, t, do_composites, i, j) ->
330 pp_coercion ~term_pp t do_composites i j
331 | PreferCoercion (_,t) ->
332 "prefer coercion " ^ term_pp t
333 | UnificationHint (_,t, n) ->
334 "unification hint " ^ string_of_int n ^ " " ^ term_pp t
335 | Default (_,what,uris) -> pp_default what uris
337 | Include (_,path) -> "include \"" ^ path ^ "\""
338 | Obj (_,obj) -> obj_pp obj
340 | Relation (_,id,a,aeq,refl,sym,trans) ->
341 "relation " ^ term_pp aeq ^ " on " ^ term_pp a ^
343 Some r -> " reflexivity proved by " ^ term_pp r
346 Some r -> " symmetry proved by " ^ term_pp r
349 Some r -> " transitivity proved by " ^ term_pp r
351 | Print (_,s) -> "print " ^ s
352 | Set (_, name, value) -> Printf.sprintf "set \"%s\" \"%s\"" name value
353 | NObj (_,o) -> "not supported"
355 let pp_punctuation_tactical =
361 | Pos (_, i) -> Printf.sprintf "%s:" (String.concat "," (List.map string_of_int i))
365 let pp_non_punctuation_tactical =
367 | Focus (_, goals) ->
368 Printf.sprintf "focus %s" (String.concat " " (List.map string_of_int goals))
369 | Unfocus _ -> "unfocus"
372 let pp_executable ~map_unicode_to_tex ~term_pp ~lazy_term_pp ~obj_pp =
374 | Macro (_, macro) -> pp_macro ~term_pp ~lazy_term_pp macro ^ "."
375 | Tactic (_, Some tac, punct) ->
376 pp_tactic ~map_unicode_to_tex ~term_pp ~lazy_term_pp tac
377 ^ pp_punctuation_tactical punct
378 | Tactic (_, None, punct) ->
379 pp_punctuation_tactical punct
380 | NTactic (_,tac, punct) ->
381 pp_ntactic ~map_unicode_to_tex tac
382 ^ pp_punctuation_tactical punct
383 | NonPunctuationTactical (_, tac, punct) ->
384 pp_non_punctuation_tactical tac
385 ^ pp_punctuation_tactical punct
386 | Command (_, cmd) -> pp_command ~term_pp ~obj_pp cmd ^ "."
388 let pp_comment ~map_unicode_to_tex ~term_pp ~lazy_term_pp ~obj_pp =
390 | Note (_,"") -> Printf.sprintf "\n"
391 | Note (_,str) -> Printf.sprintf "\n(* %s *)" str
393 Printf.sprintf "\n(** %s. **)" (pp_executable ~map_unicode_to_tex ~term_pp ~lazy_term_pp ~obj_pp code)
395 let pp_statement ~term_pp ~lazy_term_pp ~obj_pp =
397 | Executable (_, ex) -> pp_executable ~lazy_term_pp ~term_pp ~obj_pp ex
398 | Comment (_, c) -> pp_comment ~term_pp ~lazy_term_pp ~obj_pp c