1 (* Copyright (C) 2003-2005, 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.
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://cs.unibo.it/helm/.
30 module N = CicNotationPt
32 module H = ProceduralHelpers
34 (* functions to be moved ****************************************************)
36 let list_rev_map2 map l1 l2 =
37 let rec aux res = function
38 | hd1 :: tl1, hd2 :: tl2 -> aux (map hd1 hd2 :: res) (tl1, tl2)
43 let list_map2_filter map l1 l2 =
44 let rec filter l = function
46 | None :: tl -> filter l tl
47 | Some a :: tl -> filter (a :: l) tl
49 filter [] (list_rev_map2 map l1 l2)
52 let rec aux a j = if j < 0 then a else aux (f j :: a) (pred j) in
55 (****************************************************************************)
57 type name = string option
59 type what = Cic.annterm
61 type using = Cic.annterm
64 type where = (hyp * name) option
65 type inferred = Cic.annterm
66 type pattern = Cic.annterm
68 type step = Note of note
69 | Theorem of name * what * note
72 | Intros of count option * name list * note
73 | Cut of name * what * note
74 | LetIn of name * what * note
75 | Rewrite of how * what * where * pattern * note
76 | Elim of what * using option * pattern * note
77 | Apply of what * note
78 | Change of inferred * what * where * pattern * note
79 | Clear of hyp list * note
80 | ClearBody of hyp * note
81 | Branch of step list list * note
83 (* annterm constructors *****************************************************)
85 let mk_arel i b = Cic.ARel ("", "", i, b)
87 (* grafite ast constructors *************************************************)
89 let floc = HEL.dummy_floc
91 let mk_note str = G.Comment (floc, G.Note (floc, str))
93 let mk_tacnote str a =
94 if str = "" then mk_note "" :: a else mk_note "" :: mk_note str :: a
96 let mk_notenote str a =
97 if str = "" then a else mk_note str :: a
100 if str = "" then a else mk_note "" :: mk_note str :: a
102 let mk_theorem name t =
103 let name = match name with Some name -> name | None -> assert false in
104 let obj = N.Theorem (`Theorem, name, t, None) in
105 G.Executable (floc, G.Command (floc, G.Obj (floc, obj)))
108 G.Executable (floc, G.Command (floc, G.Qed floc))
110 let mk_tactic tactic punctation =
111 G.Executable (floc, G.Tactic (floc, Some tactic, punctation))
113 let mk_punctation punctation =
114 G.Executable (floc, G.Tactic (floc, None, punctation))
116 let mk_id punctation =
117 let tactic = G.IdTac floc in
118 mk_tactic tactic punctation
120 let mk_intros xi xids punctation =
121 let tactic = G.Intros (floc, (xi, xids)) in
122 mk_tactic tactic punctation
124 let mk_cut name what punctation =
125 let name = match name with Some name -> name | None -> assert false in
126 let tactic = G.Cut (floc, Some name, what) in
127 mk_tactic tactic punctation
129 let mk_letin name what punctation =
130 let name = match name with Some name -> name | None -> assert false in
131 let tactic = G.LetIn (floc, what, name) in
132 mk_tactic tactic punctation
134 let mk_rewrite direction what where pattern punctation =
135 let direction = if direction then `RightToLeft else `LeftToRight in
136 let pattern, rename = match where with
137 | None -> (None, [], Some pattern), []
138 | Some (premise, Some name) -> (None, [premise, pattern], None), [Some name]
139 | Some (premise, None) -> (None, [premise, pattern], None), []
141 let tactic = G.Rewrite (floc, direction, what, pattern, rename) in
142 mk_tactic tactic punctation
144 let mk_elim what using pattern punctation =
145 let pattern = None, [], Some pattern in
146 let tactic = G.Elim (floc, what, using, pattern, (Some 0, [])) in
147 mk_tactic tactic punctation
149 let mk_apply t punctation =
150 let tactic = G.ApplyP (floc, t) in
151 mk_tactic tactic punctation
153 let mk_change t where pattern punctation =
154 let pattern = match where with
155 | None -> None, [], Some pattern
156 | Some (premise, _) -> None, [premise, pattern], None
158 let tactic = G.Change (floc, pattern, t) in
159 mk_tactic tactic punctation
161 let mk_clear ids punctation =
162 let tactic = G.Clear (floc, ids) in
163 mk_tactic tactic punctation
165 let mk_clearbody id punctation =
166 let tactic = G.ClearBody (floc, id) in
167 mk_tactic tactic punctation
170 let punctation = G.Branch floc in
171 mk_punctation punctation
173 let mk_dot = G.Dot floc
175 let mk_sc = G.Semicolon floc
177 let mk_cb = G.Merge floc
179 let mk_vb = G.Shift floc
181 (* rendering ****************************************************************)
183 let rec render_step sep a = function
184 | Note s -> mk_notenote s a
185 | Theorem (n, t, s) -> mk_theorem n t :: mk_thnote s a
186 | Qed s -> mk_qed :: mk_tacnote s a
187 | Id s -> mk_id sep :: mk_tacnote s a
188 | Intros (c, ns, s) -> mk_intros c ns sep :: mk_tacnote s a
189 | Cut (n, t, s) -> mk_cut n t sep :: mk_tacnote s a
190 | LetIn (n, t, s) -> mk_letin n t sep :: mk_tacnote s a
191 | Rewrite (b, t, w, e, s) -> mk_rewrite b t w e sep :: mk_tacnote s a
192 | Elim (t, xu, e, s) -> mk_elim t xu e sep :: mk_tacnote s a
193 | Apply (t, s) -> mk_apply t sep :: mk_tacnote s a
194 | Change (t, _, w, e, s) -> mk_change t w e sep :: mk_tacnote s a
195 | Clear (ns, s) -> mk_clear ns sep :: mk_tacnote s a
196 | ClearBody (n, s) -> mk_clearbody n sep :: mk_tacnote s a
197 | Branch ([], s) -> a
198 | Branch ([ps], s) -> render_steps sep a ps
199 | Branch (ps :: pss, s) ->
200 let a = mk_ob :: mk_tacnote s a in
201 let a = List.fold_left (render_steps mk_vb) a (List.rev pss) in
202 mk_punctation sep :: render_steps mk_cb a ps
204 and render_steps sep a = function
206 | [p] -> render_step sep a p
207 | p :: Branch ([], _) :: ps ->
208 render_steps sep a (p :: ps)
209 | p :: ((Branch (_ :: _ :: _, _) :: _) as ps) ->
210 render_steps sep (render_step mk_sc a p) ps
212 render_steps sep (render_step mk_sc a p) ps
214 let render_steps a = render_steps mk_dot a
216 (* counting *****************************************************************)
218 let rec count_step a = function
222 | Branch (pps, _) -> List.fold_left count_steps a pps
225 and count_steps a = List.fold_left count_step a
227 let rec count_node a = function
237 | Apply (t, _) -> I.count_nodes a (H.cic t)
238 | Rewrite (_, t, _, p, _)
240 | Change (t, _, _, p, _) ->
241 let a = I.count_nodes a (H.cic t) in
242 I.count_nodes a (H.cic p)
243 | Branch (ss, _) -> List.fold_left count_nodes a ss
245 and count_nodes a = List.fold_left count_node a