1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
|
(************************************************************************)
(* v * The Coq Proof Assistant / The Coq Development Team *)
(* <O___,, * CNRS-Ecole Polytechnique-INRIA Futurs-Universite Paris Sud *)
(* \VV/ **************************************************************)
(* // * This file is distributed under the terms of the *)
(* * GNU Lesser General Public License Version 2.1 *)
(************************************************************************)
(* $Id: class.ml 11343 2008-09-01 20:55:13Z herbelin $ *)
open Util
open Pp
open Names
open Nameops
open Term
open Termops
open Inductive
open Declarations
open Entries
open Environ
open Inductive
open Lib
open Classops
open Declare
open Libnames
open Nametab
open Decl_kinds
open Safe_typing
let strength_min l = if List.mem Local l then Local else Global
let id_of_varid c = match kind_of_term c with
| Var id -> id
| _ -> anomaly "class__id_of_varid"
(* Errors *)
type coercion_error_kind =
| AlreadyExists
| NotAFunction
| NoSource of cl_typ option
| ForbiddenSourceClass of cl_typ
| NotUniform
| NoTarget
| WrongTarget of cl_typ * cl_typ
| NotAClass of global_reference
| NotEnoughClassArgs of cl_typ
exception CoercionError of coercion_error_kind
let explain_coercion_error g = function
| AlreadyExists ->
(Printer.pr_global g ++ str" is already a coercion")
| NotAFunction ->
(Printer.pr_global g ++ str" is not a function")
| NoSource (Some cl) ->
(str "Cannot recognize " ++ pr_class cl ++ str " as a source class of "
++ Printer.pr_global g)
| NoSource None ->
(str ": cannot find the source class of " ++ Printer.pr_global g)
| ForbiddenSourceClass cl ->
pr_class cl ++ str " cannot be a source class"
| NotUniform ->
(Printer.pr_global g ++
str" does not respect the inheritance uniform condition");
| NoTarget ->
(str"Cannot find the target class")
| WrongTarget (clt,cl) ->
(str"Found target class " ++ pr_class cl ++
str " instead of " ++ pr_class clt)
| NotAClass ref ->
(str "Type of " ++ Printer.pr_global ref ++
str " does not end with a sort")
| NotEnoughClassArgs cl ->
(str"Wrong number of parameters for " ++ pr_class cl)
(* Verifications pour l'ajout d'une classe *)
let check_reference_arity ref =
if not (Reductionops.is_arity (Global.env()) Evd.empty (Global.type_of_global ref)) then
raise (CoercionError (NotAClass ref))
let check_arity = function
| CL_FUN | CL_SORT -> ()
| CL_CONST cst -> check_reference_arity (ConstRef cst)
| CL_SECVAR id -> check_reference_arity (VarRef id)
| CL_IND kn -> check_reference_arity (IndRef kn)
(* Coercions *)
(* check that the computed target is the provided one *)
let check_target clt = function
| Some cl when cl <> clt -> raise (CoercionError (WrongTarget(clt,cl)))
| _ -> ()
(* condition d'heritage uniforme *)
let uniform_cond nargs lt =
let rec aux = function
| (0,[]) -> true
| (n,t::l) -> (strip_outer_cast t = mkRel n) & (aux ((n-1),l))
| _ -> false
in
aux (nargs,lt)
let id_of_cl = function
| CL_FUN -> id_of_string "FUNCLASS"
| CL_SORT -> id_of_string "SORTCLASS"
| CL_CONST kn -> id_of_label (con_label kn)
| CL_IND ind ->
let (_,mip) = Global.lookup_inductive ind in
mip.mind_typename
| CL_SECVAR id -> id
let class_of_global = function
| ConstRef sp -> CL_CONST sp
| IndRef sp -> CL_IND sp
| VarRef id -> CL_SECVAR id
| ConstructRef _ as c ->
errorlabstrm "class_of_global"
(str "Constructors, such as " ++ Printer.pr_global c ++
str ", cannot be used as a class.")
(*
lp est la liste (inverse'e) des arguments de la coercion
ids est le nom de la classe source
sps_opt est le sp de la classe source dans le cas des structures
retourne:
la classe source
nbre d'arguments de la classe
le constr de la class
la liste des variables dont depend la classe source
l'indice de la classe source dans la liste lp
*)
let get_source lp source =
match source with
| None ->
let (cl1,lv1) =
match lp with
| [] -> raise Not_found
| t1::_ -> find_class_type (Global.env()) Evd.empty t1
in
(cl1,lv1,1)
| Some cl ->
let rec aux = function
| [] -> raise Not_found
| t1::lt ->
try
let cl1,lv1 = find_class_type (Global.env()) Evd.empty t1 in
if cl = cl1 then cl1,lv1,(List.length lt+1)
else raise Not_found
with Not_found -> aux lt
in aux (List.rev lp)
let get_target t ind =
if (ind > 1) then
CL_FUN
else
fst (find_class_type (Global.env()) Evd.empty t)
let prods_of t =
let rec aux acc d = match kind_of_term d with
| Prod (_,c1,c2) -> aux (c1::acc) c2
| Cast (c,_,_) -> aux acc c
| _ -> (d,acc)
in
aux [] t
let strength_of_cl = function
| CL_CONST kn -> Global
| CL_SECVAR id -> Local
| _ -> Global
let get_strength stre ref cls clt =
let stres = strength_of_cl cls in
let stret = strength_of_cl clt in
let stref = strength_of_global ref in
strength_min [stre;stres;stret;stref]
let ident_key_of_class = function
| CL_FUN -> "Funclass"
| CL_SORT -> "Sortclass"
| CL_CONST sp -> string_of_label (con_label sp)
| CL_IND (sp,_) -> string_of_label (label sp)
| CL_SECVAR id -> string_of_id id
(* coercion identité *)
let error_not_transparent source =
errorlabstrm "build_id_coercion"
(pr_class source ++ str " must be a transparent constant.")
let build_id_coercion idf_opt source =
let env = Global.env () in
let vs = match source with
| CL_CONST sp -> mkConst sp
| _ -> error_not_transparent source in
let c = match constant_opt_value env (destConst vs) with
| Some c -> c
| None -> error_not_transparent source in
let lams,t = Sign.decompose_lam_assum c in
let val_f =
it_mkLambda_or_LetIn
(mkLambda (Name (id_of_string "x"),
applistc vs (extended_rel_list 0 lams),
mkRel 1))
lams
in
let typ_f =
it_mkProd_wo_LetIn
(mkProd (Anonymous, applistc vs (extended_rel_list 0 lams), lift 1 t))
lams
in
(* juste pour verification *)
let _ =
if not
(Reductionops.is_conv_leq env Evd.empty
(Typing.type_of env Evd.empty val_f) typ_f)
then
errorlabstrm "" (strbrk
"Cannot be defined as coercion (maybe a bad number of arguments).")
in
let idf =
match idf_opt with
| Some idf -> idf
| None ->
let cl,_ = find_class_type (Global.env()) Evd.empty t in
id_of_string ("Id_"^(ident_key_of_class source)^"_"^
(ident_key_of_class cl))
in
let constr_entry = (* Cast is necessary to express [val_f] is identity *)
DefinitionEntry
{ const_entry_body = mkCast (val_f, DEFAULTcast, typ_f);
const_entry_type = Some typ_f;
const_entry_opaque = false;
const_entry_boxed = Flags.boxed_definitions()} in
let kn = declare_constant idf (constr_entry,IsDefinition IdentityCoercion) in
ConstRef kn
let check_source = function
| Some (CL_FUN|CL_SORT as s) -> raise (CoercionError (ForbiddenSourceClass s))
| _ -> ()
(*
nom de la fonction coercion
strength de f
nom de la classe source (optionnel)
sp de la classe source (dans le cas des structures)
nom de la classe target (optionnel)
booleen "coercion identite'?"
lorque source est None alors target est None aussi.
*)
let add_new_coercion_core coef stre source target isid =
check_source source;
let t = Global.type_of_global coef in
if coercion_exists coef then raise (CoercionError AlreadyExists);
let tg,lp = prods_of t in
let llp = List.length lp in
if llp = 0 then raise (CoercionError NotAFunction);
let (cls,lvs,ind) =
try
get_source lp source
with Not_found ->
raise (CoercionError (NoSource source))
in
check_source (Some cls);
if not (uniform_cond (llp-ind) lvs) then
raise (CoercionError NotUniform);
let clt =
try
get_target tg ind
with Not_found ->
raise (CoercionError NoTarget)
in
check_target clt target;
check_arity cls;
check_arity clt;
let stre' = get_strength stre coef cls clt in
declare_coercion coef stre' isid cls clt (List.length lvs)
let try_add_new_coercion_core ref b c d e =
try add_new_coercion_core ref b c d e
with CoercionError e ->
errorlabstrm "try_add_new_coercion_core"
(explain_coercion_error ref e ++ str ".")
let try_add_new_coercion ref stre =
try_add_new_coercion_core ref stre None None false
let try_add_new_coercion_subclass cl stre =
let coe_ref = build_id_coercion None cl in
try_add_new_coercion_core coe_ref stre (Some cl) None true
let try_add_new_coercion_with_target ref stre ~source ~target =
try_add_new_coercion_core ref stre (Some source) (Some target) false
let try_add_new_identity_coercion id stre ~source ~target =
let ref = build_id_coercion (Some id) source in
try_add_new_coercion_core ref stre (Some source) (Some target) true
let try_add_new_coercion_with_source ref stre ~source =
try_add_new_coercion_core ref stre (Some source) None false
let add_coercion_hook stre ref =
try_add_new_coercion ref stre;
Flags.if_verbose message
(string_of_qualid (shortest_qualid_of_global Idset.empty ref)
^ " is now a coercion")
let add_subclass_hook stre ref =
let cl = class_of_global ref in
try_add_new_coercion_subclass cl stre
|