summaryrefslogtreecommitdiff
path: root/tests/coq/array/Array_Funs.v
blob: 6d791873aac7e138ff288d49134b9dbfcce7bb8a (plain)
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
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
(** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *)
(** [array]: function definitions *)
Require Import Primitives.
Import Primitives.
Require Import Coq.ZArith.ZArith.
Require Import List.
Import ListNotations.
Local Open Scope Primitives_scope.
Require Export Array_Types.
Import Array_Types.
Module Array_Funs.

(** [array::array_to_shared_slice_]: forward function *)
Definition array_to_shared_slice__fwd
  (T : Type) (s : array T 32%usize) : result (slice T) :=
  array_to_slice_shared T 32%usize s
.

(** [array::array_to_mut_slice_]: forward function *)
Definition array_to_mut_slice__fwd
  (T : Type) (s : array T 32%usize) : result (slice T) :=
  array_to_slice_mut_fwd T 32%usize s
.

(** [array::array_to_mut_slice_]: backward function 0 *)
Definition array_to_mut_slice__back
  (T : Type) (s : array T 32%usize) (ret : slice T) :
  result (array T 32%usize)
  :=
  array_to_slice_mut_back T 32%usize s ret
.

(** [array::array_len]: forward function *)
Definition array_len_fwd (T : Type) (s : array T 32%usize) : result usize :=
  s0 <- array_to_slice_shared T 32%usize s; let i := slice_len T s0 in Return i
.

(** [array::shared_array_len]: forward function *)
Definition shared_array_len_fwd
  (T : Type) (s : array T 32%usize) : result usize :=
  s0 <- array_to_slice_shared T 32%usize s; let i := slice_len T s0 in Return i
.

(** [array::shared_slice_len]: forward function *)
Definition shared_slice_len_fwd (T : Type) (s : slice T) : result usize :=
  let i := slice_len T s in Return i
.

(** [array::index_array_shared]: forward function *)
Definition index_array_shared_fwd
  (T : Type) (s : array T 32%usize) (i : usize) : result T :=
  array_index_shared T 32%usize s i
.

(** [array::index_array_u32]: forward function *)
Definition index_array_u32_fwd
  (s : array u32 32%usize) (i : usize) : result u32 :=
  array_index_shared u32 32%usize s i
.

(** [array::index_array_generic]: forward function *)
Definition index_array_generic_fwd
  (N : usize) (s : array u32 N) (i : usize) : result u32 :=
  array_index_shared u32 N s i
.

(** [array::index_array_generic_call]: forward function *)
Definition index_array_generic_call_fwd
  (N : usize) (s : array u32 N) (i : usize) : result u32 :=
  index_array_generic_fwd N s i
.

(** [array::index_array_copy]: forward function *)
Definition index_array_copy_fwd (x : array u32 32%usize) : result u32 :=
  array_index_shared u32 32%usize x 0%usize
.

(** [array::index_mut_array]: forward function *)
Definition index_mut_array_fwd
  (T : Type) (s : array T 32%usize) (i : usize) : result T :=
  array_index_mut_fwd T 32%usize s i
.

(** [array::index_mut_array]: backward function 0 *)
Definition index_mut_array_back
  (T : Type) (s : array T 32%usize) (i : usize) (ret : T) :
  result (array T 32%usize)
  :=
  array_index_mut_back T 32%usize s i ret
.

(** [array::index_slice]: forward function *)
Definition index_slice_fwd (T : Type) (s : slice T) (i : usize) : result T :=
  slice_index_shared T s i
.

(** [array::index_mut_slice]: forward function *)
Definition index_mut_slice_fwd
  (T : Type) (s : slice T) (i : usize) : result T :=
  slice_index_mut_fwd T s i
.

(** [array::index_mut_slice]: backward function 0 *)
Definition index_mut_slice_back
  (T : Type) (s : slice T) (i : usize) (ret : T) : result (slice T) :=
  slice_index_mut_back T s i ret
.

(** [array::slice_subslice_shared_]: forward function *)
Definition slice_subslice_shared__fwd
  (x : slice u32) (y : usize) (z : usize) : result (slice u32) :=
  slice_subslice_shared u32 x (mk_range y z)
.

(** [array::slice_subslice_mut_]: forward function *)
Definition slice_subslice_mut__fwd
  (x : slice u32) (y : usize) (z : usize) : result (slice u32) :=
  slice_subslice_mut_fwd u32 x (mk_range y z)
.

(** [array::slice_subslice_mut_]: backward function 0 *)
Definition slice_subslice_mut__back
  (x : slice u32) (y : usize) (z : usize) (ret : slice u32) :
  result (slice u32)
  :=
  slice_subslice_mut_back u32 x (mk_range y z) ret
.

(** [array::array_to_slice_shared_]: forward function *)
Definition array_to_slice_shared__fwd
  (x : array u32 32%usize) : result (slice u32) :=
  array_to_slice_shared u32 32%usize x
.

(** [array::array_to_slice_mut_]: forward function *)
Definition array_to_slice_mut__fwd
  (x : array u32 32%usize) : result (slice u32) :=
  array_to_slice_mut_fwd u32 32%usize x
.

(** [array::array_to_slice_mut_]: backward function 0 *)
Definition array_to_slice_mut__back
  (x : array u32 32%usize) (ret : slice u32) : result (array u32 32%usize) :=
  array_to_slice_mut_back u32 32%usize x ret
.

(** [array::array_subslice_shared_]: forward function *)
Definition array_subslice_shared__fwd
  (x : array u32 32%usize) (y : usize) (z : usize) : result (slice u32) :=
  array_subslice_shared u32 32%usize x (mk_range y z)
.

(** [array::array_subslice_mut_]: forward function *)
Definition array_subslice_mut__fwd
  (x : array u32 32%usize) (y : usize) (z : usize) : result (slice u32) :=
  array_subslice_mut_fwd u32 32%usize x (mk_range y z)
.

(** [array::array_subslice_mut_]: backward function 0 *)
Definition array_subslice_mut__back
  (x : array u32 32%usize) (y : usize) (z : usize) (ret : slice u32) :
  result (array u32 32%usize)
  :=
  array_subslice_mut_back u32 32%usize x (mk_range y z) ret
.

(** [array::index_slice_0]: forward function *)
Definition index_slice_0_fwd (T : Type) (s : slice T) : result T :=
  slice_index_shared T s 0%usize
.

(** [array::index_array_0]: forward function *)
Definition index_array_0_fwd (T : Type) (s : array T 32%usize) : result T :=
  array_index_shared T 32%usize s 0%usize
.

(** [array::index_index_array]: forward function *)
Definition index_index_array_fwd
  (s : array (array u32 32%usize) 32%usize) (i : usize) (j : usize) :
  result u32
  :=
  a <- array_index_shared (array u32 32%usize) 32%usize s i;
  array_index_shared u32 32%usize a j
.

(** [array::update_update_array]: forward function *)
Definition update_update_array_fwd
  (s : array (array u32 32%usize) 32%usize) (i : usize) (j : usize) :
  result unit
  :=
  a <- array_index_mut_fwd (array u32 32%usize) 32%usize s i;
  a0 <- array_index_mut_back u32 32%usize a j 0%u32;
  _ <- array_index_mut_back (array u32 32%usize) 32%usize s i a0;
  Return tt
.

(** [array::array_local_deep_copy]: forward function *)
Definition array_local_deep_copy_fwd (x : array u32 32%usize) : result unit :=
  Return tt
.

(** [array::take_array]: forward function *)
Definition take_array_fwd (a : array u32 2%usize) : result unit :=
  Return tt.

(** [array::take_array_borrow]: forward function *)
Definition take_array_borrow_fwd (a : array u32 2%usize) : result unit :=
  Return tt
.

(** [array::take_slice]: forward function *)
Definition take_slice_fwd (s : slice u32) : result unit :=
  Return tt.

(** [array::take_mut_slice]: merged forward/backward function
    (there is a single backward function, and the forward function returns ()) *)
Definition take_mut_slice_fwd_back (s : slice u32) : result (slice u32) :=
  Return s
.

(** [array::take_all]: forward function *)
Definition take_all_fwd : result unit :=
  _ <- take_array_fwd (mk_array u32 2%usize [ 0%u32; 0%u32 ]);
  _ <- take_array_borrow_fwd (mk_array u32 2%usize [ 0%u32; 0%u32 ]);
  s <-
    array_to_slice_shared u32 2%usize (mk_array u32 2%usize [ 0%u32; 0%u32 ]);
  _ <- take_slice_fwd s;
  s0 <-
    array_to_slice_mut_fwd u32 2%usize (mk_array u32 2%usize [ 0%u32; 0%u32 ]);
  s1 <- take_mut_slice_fwd_back s0;
  _ <-
    array_to_slice_mut_back u32 2%usize (mk_array u32 2%usize [ 0%u32; 0%u32 ])
      s1;
  Return tt
.

(** [array::index_array]: forward function *)
Definition index_array_fwd (x : array u32 2%usize) : result u32 :=
  array_index_shared u32 2%usize x 0%usize
.

(** [array::index_array_borrow]: forward function *)
Definition index_array_borrow_fwd (x : array u32 2%usize) : result u32 :=
  array_index_shared u32 2%usize x 0%usize
.

(** [array::index_slice_u32_0]: forward function *)
Definition index_slice_u32_0_fwd (x : slice u32) : result u32 :=
  slice_index_shared u32 x 0%usize
.

(** [array::index_mut_slice_u32_0]: forward function *)
Definition index_mut_slice_u32_0_fwd (x : slice u32) : result u32 :=
  slice_index_shared u32 x 0%usize
.

(** [array::index_mut_slice_u32_0]: backward function 0 *)
Definition index_mut_slice_u32_0_back (x : slice u32) : result (slice u32) :=
  _ <- slice_index_shared u32 x 0%usize; Return x
.

(** [array::index_all]: forward function *)
Definition index_all_fwd : result u32 :=
  i <- index_array_fwd (mk_array u32 2%usize [ 0%u32; 0%u32 ]);
  i0 <- index_array_fwd (mk_array u32 2%usize [ 0%u32; 0%u32 ]);
  i1 <- u32_add i i0;
  i2 <- index_array_borrow_fwd (mk_array u32 2%usize [ 0%u32; 0%u32 ]);
  i3 <- u32_add i1 i2;
  s <-
    array_to_slice_shared u32 2%usize (mk_array u32 2%usize [ 0%u32; 0%u32 ]);
  i4 <- index_slice_u32_0_fwd s;
  i5 <- u32_add i3 i4;
  s0 <-
    array_to_slice_mut_fwd u32 2%usize (mk_array u32 2%usize [ 0%u32; 0%u32 ]);
  i6 <- index_mut_slice_u32_0_fwd s0;
  i7 <- u32_add i5 i6;
  s1 <- index_mut_slice_u32_0_back s0;
  _ <-
    array_to_slice_mut_back u32 2%usize (mk_array u32 2%usize [ 0%u32; 0%u32 ])
      s1;
  Return i7
.

(** [array::update_array]: forward function *)
Definition update_array_fwd (x : array u32 2%usize) : result unit :=
  _ <- array_index_mut_back u32 2%usize x 0%usize 1%u32; Return tt
.

(** [array::update_array_mut_borrow]: merged forward/backward function
    (there is a single backward function, and the forward function returns ()) *)
Definition update_array_mut_borrow_fwd_back
  (x : array u32 2%usize) : result (array u32 2%usize) :=
  array_index_mut_back u32 2%usize x 0%usize 1%u32
.

(** [array::update_mut_slice]: merged forward/backward function
    (there is a single backward function, and the forward function returns ()) *)
Definition update_mut_slice_fwd_back (x : slice u32) : result (slice u32) :=
  slice_index_mut_back u32 x 0%usize 1%u32
.

(** [array::update_all]: forward function *)
Definition update_all_fwd : result unit :=
  _ <- update_array_fwd (mk_array u32 2%usize [ 0%u32; 0%u32 ]);
  x <-
    update_array_mut_borrow_fwd_back (mk_array u32 2%usize [ 0%u32; 0%u32 ]);
  s <- array_to_slice_mut_fwd u32 2%usize x;
  s0 <- update_mut_slice_fwd_back s;
  _ <- array_to_slice_mut_back u32 2%usize x s0;
  Return tt
.

(** [array::range_all]: forward function *)
Definition range_all_fwd : result unit :=
  s <-
    array_subslice_mut_fwd u32 4%usize
      (mk_array u32 4%usize [ 0%u32; 0%u32; 0%u32; 0%u32 ]) (mk_range 1%usize
      3%usize);
  s0 <- update_mut_slice_fwd_back s;
  _ <-
    array_subslice_mut_back u32 4%usize
      (mk_array u32 4%usize [ 0%u32; 0%u32; 0%u32; 0%u32 ]) (mk_range 1%usize
      3%usize) s0;
  Return tt
.

(** [array::deref_array_borrow]: forward function *)
Definition deref_array_borrow_fwd (x : array u32 2%usize) : result u32 :=
  array_index_shared u32 2%usize x 0%usize
.

(** [array::deref_array_mut_borrow]: forward function *)
Definition deref_array_mut_borrow_fwd (x : array u32 2%usize) : result u32 :=
  array_index_shared u32 2%usize x 0%usize
.

(** [array::deref_array_mut_borrow]: backward function 0 *)
Definition deref_array_mut_borrow_back
  (x : array u32 2%usize) : result (array u32 2%usize) :=
  _ <- array_index_shared u32 2%usize x 0%usize; Return x
.

(** [array::take_array_t]: forward function *)
Definition take_array_t_fwd (a : array T_t 2%usize) : result unit :=
  Return tt.

(** [array::non_copyable_array]: forward function *)
Definition non_copyable_array_fwd : result unit :=
  _ <- take_array_t_fwd (mk_array T_t 2%usize [ TA; TB ]); Return tt
.

(** [array::sum]: loop 0: forward function *)
Fixpoint sum_loop_fwd
  (n : nat) (s : slice u32) (sum : u32) (i : usize) : result u32 :=
  match n with
  | O => Fail_ OutOfFuel
  | S n0 =>
    let i0 := slice_len u32 s in
    if i s< i0
    then (
      i1 <- slice_index_shared u32 s i;
      sum0 <- u32_add sum i1;
      i2 <- usize_add i 1%usize;
      sum_loop_fwd n0 s sum0 i2)
    else Return sum
  end
.

(** [array::sum]: forward function *)
Definition sum_fwd (n : nat) (s : slice u32) : result u32 :=
  sum_loop_fwd n s 0%u32 0%usize
.

(** [array::sum2]: loop 0: forward function *)
Fixpoint sum2_loop_fwd
  (n : nat) (s : slice u32) (s2 : slice u32) (sum : u32) (i : usize) :
  result u32
  :=
  match n with
  | O => Fail_ OutOfFuel
  | S n0 =>
    let i0 := slice_len u32 s in
    if i s< i0
    then (
      i1 <- slice_index_shared u32 s i;
      i2 <- slice_index_shared u32 s2 i;
      i3 <- u32_add i1 i2;
      sum0 <- u32_add sum i3;
      i4 <- usize_add i 1%usize;
      sum2_loop_fwd n0 s s2 sum0 i4)
    else Return sum
  end
.

(** [array::sum2]: forward function *)
Definition sum2_fwd (n : nat) (s : slice u32) (s2 : slice u32) : result u32 :=
  let i := slice_len u32 s in
  let i0 := slice_len u32 s2 in
  if negb (i s= i0) then Fail_ Failure else sum2_loop_fwd n s s2 0%u32 0%usize
.

(** [array::f0]: forward function *)
Definition f0_fwd : result unit :=
  s <-
    array_to_slice_mut_fwd u32 2%usize (mk_array u32 2%usize [ 1%u32; 2%u32 ]);
  s0 <- slice_index_mut_back u32 s 0%usize 1%u32;
  _ <-
    array_to_slice_mut_back u32 2%usize (mk_array u32 2%usize [ 1%u32; 2%u32 ])
      s0;
  Return tt
.

(** [array::f1]: forward function *)
Definition f1_fwd : result unit :=
  _ <-
    array_index_mut_back u32 2%usize (mk_array u32 2%usize [ 1%u32; 2%u32 ])
      0%usize 1%u32;
  Return tt
.

(** [array::f2]: forward function *)
Definition f2_fwd (i : u32) : result unit :=
  Return tt.

(** [array::f4]: forward function *)
Definition f4_fwd
  (x : array u32 32%usize) (y : usize) (z : usize) : result (slice u32) :=
  array_subslice_shared u32 32%usize x (mk_range y z)
.

(** [array::f3]: forward function *)
Definition f3_fwd (n : nat) : result u32 :=
  i <-
    array_index_shared u32 2%usize (mk_array u32 2%usize [ 1%u32; 2%u32 ])
      0%usize;
  _ <- f2_fwd i;
  s <-
    array_to_slice_shared u32 2%usize (mk_array u32 2%usize [ 1%u32; 2%u32 ]);
  s0 <-
    f4_fwd
      (mk_array u32 32%usize [
        0%u32; 0%u32; 0%u32; 0%u32; 0%u32; 0%u32; 0%u32; 0%u32; 0%u32; 0%u32;
        0%u32; 0%u32; 0%u32; 0%u32; 0%u32; 0%u32; 0%u32; 0%u32; 0%u32; 0%u32;
        0%u32; 0%u32; 0%u32; 0%u32; 0%u32; 0%u32; 0%u32; 0%u32; 0%u32; 0%u32;
        0%u32; 0%u32
        ]) 16%usize 18%usize;
  sum2_fwd n s s0
.

(** [array::ite]: forward function *)
Definition ite_fwd : result unit :=
  s <-
    array_to_slice_mut_fwd u32 2%usize (mk_array u32 2%usize [ 0%u32; 0%u32 ]);
  s0 <-
    array_to_slice_mut_fwd u32 2%usize (mk_array u32 2%usize [ 0%u32; 0%u32 ]);
  s1 <- index_mut_slice_u32_0_back s0;
  _ <-
    array_to_slice_mut_back u32 2%usize (mk_array u32 2%usize [ 0%u32; 0%u32 ])
      s1;
  s2 <- index_mut_slice_u32_0_back s;
  _ <-
    array_to_slice_mut_back u32 2%usize (mk_array u32 2%usize [ 0%u32; 0%u32 ])
      s2;
  Return tt
.

End Array_Funs .