File: mlw_tree.ml

package info (click to toggle)
why3 1.8.2-3
  • links: PTS, VCS
  • area: main
  • in suites: forky, sid
  • size: 45,028 kB
  • sloc: xml: 185,443; ml: 111,224; ansic: 3,998; sh: 2,578; makefile: 2,568; java: 865; python: 720; javascript: 290; lisp: 205; pascal: 173
file content (430 lines) | stat: -rw-r--r-- 11,844 bytes parent folder | download
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
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
(********************************************************************)
(*                                                                  *)
(*  The Why3 Verification Platform   /   The Why3 Development Team  *)
(*  Copyright 2010-2025 --  Inria - CNRS - Paris-Saclay University  *)
(*                                                                  *)
(*  This software is distributed under the terms of the GNU Lesser  *)
(*  General Public License version 2.1, with the special exception  *)
(*  on linking described in file LICENSE.                           *)
(********************************************************************)

(*******************

This file builds some MLW modules, using parse trees instead of direct
API calls

******************)

(* BEGIN{buildenv} *)
open Why3
let config : Whyconf.config = Whyconf.init_config None
let main : Whyconf.main = Whyconf.get_main config
let env : Env.env = Env.create_env (Whyconf.loadpath main)
open Ptree
open Ptree_helpers
(* END{buildenv} *)

(* declaration of
  BEGIN{source1}
module M1
  use int.Int
  goal g : 2 + 2 = 4
end
  END{source1}
 *)

(* BEGIN{code1} *)
let mod_M1 =
  (* use int.Int *)
  let use_int_Int = use ~import:false (["int";"Int"]) in
  (* goal g : 2 + 2 = 4 *)
  let g =
    let two = tconst 2 in
    let four = tconst 4 in
    let add_int = qualid ["Int";Ident.op_infix "+"] in
    let two_plus_two = tapp add_int [two ; two] in
    let eq_int = qualid ["Int";Ident.op_infix "="] in
    let goal_term = tapp eq_int  [four ; two_plus_two] in
    Dprop(Decl.Pgoal, ident "g", goal_term)
  in
  (ident "M1",[use_int_Int ; g])
(* END{code1} *)


(* declaration of
  BEGIN{source2}
module M2
  let f (x:int) : int
    requires { x=6 }
    ensures { result=42 }
   = x*7
end
  END{source2}
 *)

(* BEGIN{code2} *)
let eq_symb = qualid [Ident.op_infix "="]
let int_type_id = qualid ["int"]
let int_type = PTtyapp(int_type_id,[])
let mul_int = qualid ["Int";Ident.op_infix "*"]

let mod_M2 =
  (* use int.Int *)
  let use_int_Int = use ~import:false (["int";"Int"]) in
  (* f *)
  let f =
    let id_x = ident "x" in
    let pre = tapp eq_symb [tvar (Qident id_x); tconst 6] in
    let result = ident "result" in
    let post = tapp eq_symb [tvar (Qident result); tconst 42] in
    let spec = {
      sp_pre = [pre];
      sp_post = [Loc.dummy_position,[pat_var result,post]];
      sp_xpost = [];
      sp_reads = [];
      sp_writes = [];
      sp_alias = [];
      sp_variant = [];
      sp_checkrw = false;
      sp_diverge = false;
      sp_partial = false;
    }
    in
    let body = eapp mul_int [evar (Qident id_x); econst 7] in
    let f =
      Efun(one_binder ~pty:int_type "x", None, pat Pwild,
           Ity.MaskVisible, spec, body)
    in
    Dlet(ident "f",false,Expr.RKnone, expr f)
  in
  (ident "M2",[use_int_Int ; f])
(* END{code2} *)


(* declaration of
  BEGIN{source3}
module M3
  let f() : int
     requires { true }
     ensures { result >= 0 }
   = let x = ref 42 in !x
end
  END{source3}
 *)

(* BEGIN{code3} *)
let ge_int = qualid ["Int";Ident.op_infix ">="]

let mod_M3 =
  (* use int.Int *)
  let use_int_Int = use ~import:false (["int";"Int"]) in
  (* use ref.Ref *)
  let use_ref_Ref = use ~import:false (["ref";"Ref"]) in
  (* f *)
  let f =
    let result = ident "result" in
    let post = term(Tidapp(ge_int,[tvar (Qident result);tconst 0])) in
    let spec = {
      sp_pre = [];
      sp_post = [Loc.dummy_position,[pat_var result,post]];
      sp_xpost = [];
      sp_reads = [];
      sp_writes = [];
      sp_alias = [];
      sp_variant = [];
      sp_checkrw = false;
      sp_diverge = false;
      sp_partial = false;
    }
    in
    let body =
      let e1 = eapply (evar (qualid ["Ref";"ref"])) (econst 42) in
      let id_x = ident "x" in
      let qid = qualid ["Ref";Ident.op_prefix "!"] in
      let e2 = eapply (evar qid) (evar (Qident id_x)) in
      expr(Elet(id_x,false,Expr.RKnone,e1,e2))
    in
    let f = Efun(unit_binder (),None,pat Pwild,Ity.MaskVisible,spec,body)
    in
    Dlet(ident "f",false,Expr.RKnone, expr f)
  in
  (ident "M3",[use_int_Int ; use_ref_Ref ; f])
(* END{code3} *)

(* declaration of
  BEGIN{source4}
module M4
  let f (a:array int) : unit
    requires { a.length >= 1 }
    writes { a }
    ensures { a[0] = 42 }
   = a[0] <- 42
end
  END{source4}
 *)

(* BEGIN{code4} *)

let array_int_type = PTtyapp(qualid ["Array";"array"],[int_type])

let length = qualid ["Array";"length"]

let array_get = qualid ["Array"; Ident.op_get ""]

let array_set = qualid ["Array"; Ident.op_set ""]

let mod_M4 =
  (* use int.Int *)
  let use_int_Int = use ~import:false (["int";"Int"]) in
  (* use array.Array *)
  let use_array_Array = use ~import:false (["array";"Array"]) in
  (* decl f *)
  let f =
    let id_a = ident "a" in
    let pre =
      tapp ge_int [tapp length [tvar (Qident id_a)]; tconst 1]
    in
    let post =
      tapp eq_symb [tapp array_get [tvar (Qident id_a); tconst 0];
                       tconst 42]
    in
    let spec = {
      sp_pre = [pre];
      sp_post = [Loc.dummy_position,[pat Pwild,post]];
      sp_xpost = [];
      sp_reads = [];
      sp_writes = [tvar (Qident id_a)];
      sp_alias = [];
      sp_variant = [];
      sp_checkrw = false;
      sp_diverge = false;
      sp_partial = false;
    }
    in
    let body =
      eapp array_set [evar (Qident id_a); econst 0; econst 42]
    in
    let f = Efun(one_binder ~pty:array_int_type "a",
                 None,pat Pwild,Ity.MaskVisible,spec,body)
    in
    Dlet(ident "f", false, Expr.RKnone, expr f)
  in
  (ident "M4",[use_int_Int ; use_array_Array ; f])
(* END{code4} *)

(* The following example is not in the manual
 * it shows how to use Ptree API for global variable declaration
module Mglob
  use int.Int
  val ref x : int
  let f () : unit = x <- x+1
end
*)

let mod_Mglob =
  (* use int.Int *)
  let use_int_Int = use ~import:false (["int";"Int"]) in
  (* x *)
  let id_x,decl_x = global_var_decl int_type "x" in
  (* f *)
  let decl_f =
    let spec = {
      sp_pre = [];
      sp_post = [];
      sp_xpost = [];
      sp_reads = [];
      sp_writes = [tvar (Qident id_x)];
      sp_alias = [];
      sp_variant = [];
      sp_checkrw = false;
      sp_diverge = false;
      sp_partial = false;
    }
    in
    let add_int = qualid ["Int";Ident.op_infix "+"] in
    let xp1 = eapp add_int [evar (Qident id_x) ; econst 1 ] in
    let body = expr (Eassign [ expr (Easref (Qident id_x)), None, xp1  ]) in
    let f = Efun(unit_binder (),None,pat Pwild,Ity.MaskVisible,spec,body) in
    Dlet(ident "f", false, Expr.RKnone, expr f)

  in
  (ident "Mglob",[use_int_Int ; decl_x; decl_f])

(* The following example is not in the manual
 * it shows how to use Ptree API for scope/import declarations
module Mscope
  scope S
      function f (x : int) : int = x
  end

  import S
  goal g : f 2 = 2
end
*)

let mod_Mscope =
  (* use int.Int *)
  let use_int_Int = use ~import:false (["int";"Int"]) in
  (* scope S *)
  let scope_S =
    (* f *)
    let f =
      let logic = {
        ld_loc = Loc.dummy_position;
        ld_ident = ident "f";
        ld_params = [(Loc.dummy_position,Some (ident "x"),false,int_type)] ;
        ld_type = Some int_type;
        ld_def = Some (tvar (Qident (ident "x"))) ;
      } in
      Dlogic([logic])
    in
    Dscope(Loc.dummy_position,false,ident "S",[f])
  in
  (* import S *)
  let import_S = Dimport (qualid ["S"]) in
  (* goal g : f 2 = 2 *)
  let g =
    let two = tconst 2 in
    let eq_int = qualid ["Int";Ident.op_infix "="] in
    let f_of_two = tapp (qualid ["f"]) [two] in
    let goal_term = tapp eq_int [f_of_two ; two] in
    Dprop(Decl.Pgoal,ident "g",goal_term)
  in
  (ident "Mscope",[use_int_Int ; scope_S ; import_S ; g])

(* BEGIN{getmodules} *)
let mlw_file = Modules [mod_M1 ; mod_M2 ; mod_M3 ; mod_M4]
(* END{getmodules} *)
let mlw_file_others = Modules [mod_Mglob ; mod_Mscope]

open Format

(* Printing back the mlw file *)
(* BEGIN{mlwprinter} *)
let () = printf "%a@." (Mlw_printer.pp_mlw_file ~attr:true) mlw_file
(* END{mlwprinter} *)

let () = printf "%a@." (Mlw_printer.pp_mlw_file ~attr:true) mlw_file_others

(* BEGIN{topdownf} *)
let mlw_file_F =
  let uc = F.create () in
  let uc = F.begin_module uc "M5" in
  let uc = F.use uc ~import:false ["int";"Int"] in
  let uc = F.use uc ~import:false ["array";"Array"] in
  let uc = F.begin_let uc "f" (one_binder ~pty:array_int_type "a") in
  let id_a = Qident (ident "a") in
  let pre = tapp ge_int [tapp length [tvar id_a]; tconst 1] in
  let uc = F.add_pre uc pre in
  let uc = F.add_writes uc [tvar id_a] in
  let post =
    tapp eq_symb [tapp array_get [tvar id_a; tconst 0];
                  tconst 42]
  in
  let uc = F.add_post uc post in
  let body = eapp array_set [evar id_a; econst 0; econst 42] in
  let uc = F.add_body uc body in
  let uc = F.end_module uc in
  F.get_mlw_file uc
(* END{topdownf} *)

let () = printf "%a@." (Mlw_printer.pp_mlw_file ~attr:true) mlw_file_F

(* BEGIN{topdowni} *)
let mlw_file_I =
  I.begin_module "M6";
  I.use ~import:false ["int";"Int"];
  I.use ~import:false ["array";"Array"];
  I.begin_let "f" (one_binder ~pty:array_int_type "a");
  let id_a = Qident (ident "a") in
  let pre = tapp ge_int [tapp length [tvar id_a]; tconst 1] in
  I.add_pre pre;
  I.add_writes [tvar id_a];
  let post =
    tapp eq_symb [tapp array_get [tvar id_a; tconst 0];
                  tconst 42]
  in
  I.add_post post;
  let body = eapp array_set [evar id_a; econst 0; econst 42] in
  I.add_body body;
  I.end_module ();
  I.get_mlw_file ()
(* END{topdowni} *)

let () = printf "%a@." (Mlw_printer.pp_mlw_file ~attr:true) mlw_file_I

(* BEGIN{typemodules} *)
let mods = Typing.type_mlw_file env [] "myfile.mlw" mlw_file
(* END{typemodules} *)
let mod_F = Typing.type_mlw_file env [] "myFfile.mlw" mlw_file_F
let mod_I = Typing.type_mlw_file env [] "myIfile.mlw" mlw_file_I
let mods_others = Typing.type_mlw_file env [] "myotherfile.mlw" mlw_file_others

(* BEGIN{typemoduleserror} *)
let _mods =
  try
    Typing.type_mlw_file env [] "myfile.mlw" mlw_file
  with Loc.Located (loc, e) -> (* A located exception [e] *)
    let msg = asprintf "%a" Exn_printer.exn_printer e in
    printf "%a@."
      (Mlw_printer.with_marker ~msg loc (Mlw_printer.pp_mlw_file ~attr:true))
      mlw_file;
    exit 1
(* END{typemoduleserror} *)

(* Checking the VCs *)

(* BEGIN{checkingvcs} *)
let my_tasks : Task.task list =
  let mods =
    Wstdlib.Mstr.fold
      (fun _ m acc ->
       List.rev_append
         (Task.split_theory m.Pmodule.mod_theory None None) acc)
      mods []
  in List.rev mods



let provers : Whyconf.config_prover Whyconf.Mprover.t =
  Whyconf.get_provers config

(* default resource limits *)
let limits =
  Call_provers.{empty_limits with
                limit_time = Whyconf.timelimit main;
                limit_mem = Whyconf.memlimit main }

let alt_ergo : Whyconf.config_prover =
  let fp = Whyconf.parse_filter_prover "Alt-Ergo" in
  let provers = Whyconf.filter_provers config fp in
  if Whyconf.Mprover.is_empty provers then begin
    eprintf "Prover Alt-Ergo not installed or not configured@.";
    exit 1
  end else
    snd (Whyconf.Mprover.max_binding provers)

let alt_ergo_driver : Driver.driver =
  try
    Driver.load_driver_for_prover main env alt_ergo
  with e ->
    eprintf "Failed to load driver for alt-ergo: %a@."
      Exn_printer.exn_printer e;
    exit 1

let () =
  List.iteri (fun i t ->
      let call =
        Driver.prove_task ~limits ~config:main
          ~command:alt_ergo.Whyconf.command alt_ergo_driver t in
      let r = Call_provers.wait_on_call call in
      printf "@[On task %d, alt-ergo answers %a@." (succ i)
        (Call_provers.print_prover_result ?json:None) r)
    my_tasks
(* END{checkingvcs} *)

(*
Local Variables:
compile-command: "make -C ../.. test-api-mlw_tree"
End:
*)