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 flavour = Cic.object_flavour
58 type name = string option
60 type what = Cic.annterm
62 type using = Cic.annterm
65 type where = (hyp * name) option
66 type inferred = Cic.annterm
67 type pattern = Cic.annterm
68 type body = Cic.annterm option
70 type step = Note of note
71 | Statement of flavour * name * what * body * note
74 | Intros of count option * name list * note
75 | Cut of name * what * note
76 | LetIn of name * what * note
77 | Rewrite of how * what * where * pattern * note
78 | Elim of what * using option * pattern * note
79 | Apply of what * note
80 | Change of inferred * what * where * pattern * note
81 | Clear of hyp list * note
82 | ClearBody of hyp * note
83 | Branch of step list list * note
85 (* annterm constructors *****************************************************)
87 let mk_arel i b = Cic.ARel ("", "", i, b)
89 (* grafite ast constructors *************************************************)
91 let floc = HEL.dummy_floc
93 let mk_note str = G.Comment (floc, G.Note (floc, str))
95 let mk_tacnote str a =
96 if str = "" then mk_note "" :: a else mk_note "" :: mk_note str :: a
98 let mk_notenote str a =
99 if str = "" then a else mk_note str :: a
101 let mk_thnote str a =
102 if str = "" then a else mk_note "" :: mk_note str :: a
104 let mk_statement flavour name t v =
105 let name = match name with Some name -> name | None -> assert false in
106 let obj = N.Theorem (flavour, name, t, v) in
107 G.Executable (floc, G.Command (floc, G.Obj (floc, obj)))
110 G.Executable (floc, G.Command (floc, G.Qed floc))
112 let mk_tactic tactic punctation =
113 G.Executable (floc, G.Tactic (floc, Some tactic, punctation))
115 let mk_punctation punctation =
116 G.Executable (floc, G.Tactic (floc, None, punctation))
118 let mk_id punctation =
119 let tactic = G.IdTac floc in
120 mk_tactic tactic punctation
122 let mk_intros xi xids punctation =
123 let tactic = G.Intros (floc, (xi, xids)) in
124 mk_tactic tactic punctation
126 let mk_cut name what punctation =
127 let name = match name with Some name -> name | None -> assert false in
128 let tactic = G.Cut (floc, Some name, what) in
129 mk_tactic tactic punctation
131 let mk_letin name what punctation =
132 let name = match name with Some name -> name | None -> assert false in
133 let tactic = G.LetIn (floc, what, name) in
134 mk_tactic tactic punctation
136 let mk_rewrite direction what where pattern punctation =
137 let direction = if direction then `RightToLeft else `LeftToRight in
138 let pattern, rename = match where with
139 | None -> (None, [], Some pattern), []
140 | Some (premise, Some name) -> (None, [premise, pattern], None), [Some name]
141 | Some (premise, None) -> (None, [premise, pattern], None), []
143 let tactic = G.Rewrite (floc, direction, what, pattern, rename) in
144 mk_tactic tactic punctation
146 let mk_elim what using pattern punctation =
147 let pattern = None, [], Some pattern in
148 let tactic = G.Elim (floc, what, using, pattern, (Some 0, [])) in
149 mk_tactic tactic punctation
151 let mk_apply t punctation =
152 let tactic = G.ApplyP (floc, t) in
153 mk_tactic tactic punctation
155 let mk_change t where pattern punctation =
156 let pattern = match where with
157 | None -> None, [], Some pattern
158 | Some (premise, _) -> None, [premise, pattern], None
160 let tactic = G.Change (floc, pattern, t) in
161 mk_tactic tactic punctation
163 let mk_clear ids punctation =
164 let tactic = G.Clear (floc, ids) in
165 mk_tactic tactic punctation
167 let mk_clearbody id punctation =
168 let tactic = G.ClearBody (floc, id) in
169 mk_tactic tactic punctation
172 let punctation = G.Branch floc in
173 mk_punctation punctation
175 let mk_dot = G.Dot floc
177 let mk_sc = G.Semicolon floc
179 let mk_cb = G.Merge floc
181 let mk_vb = G.Shift floc
183 (* rendering ****************************************************************)
185 let rec render_step sep a = function
186 | Note s -> mk_notenote s a
187 | Statement (f, n, t, v, s) -> mk_statement f n t v :: mk_thnote s a
188 | Qed s -> mk_qed :: mk_tacnote s a
189 | Id s -> mk_id sep :: mk_tacnote s a
190 | Intros (c, ns, s) -> mk_intros c ns sep :: mk_tacnote s a
191 | Cut (n, t, s) -> mk_cut n t sep :: mk_tacnote s a
192 | LetIn (n, t, s) -> mk_letin n t sep :: mk_tacnote s a
193 | Rewrite (b, t, w, e, s) -> mk_rewrite b t w e sep :: mk_tacnote s a
194 | Elim (t, xu, e, s) -> mk_elim t xu e sep :: mk_tacnote s a
195 | Apply (t, s) -> mk_apply t sep :: mk_tacnote s a
196 | Change (t, _, w, e, s) -> mk_change t w e sep :: mk_tacnote s a
197 | Clear (ns, s) -> mk_clear ns sep :: mk_tacnote s a
198 | ClearBody (n, s) -> mk_clearbody n sep :: mk_tacnote s a
199 | Branch ([], s) -> a
200 | Branch ([ps], s) -> render_steps sep a ps
201 | Branch (ps :: pss, s) ->
202 let a = mk_ob :: mk_tacnote s a in
203 let a = List.fold_left (render_steps mk_vb) a (List.rev pss) in
204 mk_punctation sep :: render_steps mk_cb a ps
206 and render_steps sep a = function
208 | [p] -> render_step sep a p
209 | p :: Branch ([], _) :: ps ->
210 render_steps sep a (p :: ps)
211 | p :: ((Branch (_ :: _ :: _, _) :: _) as ps) ->
212 render_steps sep (render_step mk_sc a p) ps
214 render_steps sep (render_step mk_sc a p) ps
216 let render_steps a = render_steps mk_dot a
218 (* counting *****************************************************************)
220 let rec count_step a = function
224 | Branch (pps, _) -> List.fold_left count_steps a pps
227 and count_steps a = List.fold_left count_step a
229 let rec count_node a = function
239 | Apply (t, _) -> I.count_nodes a (H.cic t)
240 | Rewrite (_, t, _, p, _)
242 | Change (t, _, _, p, _) ->
243 let a = I.count_nodes a (H.cic t) in
244 I.count_nodes a (H.cic p)
245 | Branch (ss, _) -> List.fold_left count_nodes a ss
247 and count_nodes a = List.fold_left count_node a