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
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
|
-- THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS
-- [no_nested_borrows]
import Base
open Primitives
namespace no_nested_borrows
/- [no_nested_borrows::Pair] -/
structure Pair (T1 T2 : Type) where
x : T1
y : T2
/- [no_nested_borrows::List] -/
inductive List (T : Type) :=
| Cons : T → List T → List T
| Nil : List T
/- [no_nested_borrows::One] -/
inductive One (T1 : Type) :=
| One : T1 → One T1
/- [no_nested_borrows::EmptyEnum] -/
inductive EmptyEnum :=
| Empty : EmptyEnum
/- [no_nested_borrows::Enum] -/
inductive Enum :=
| Variant1 : Enum
| Variant2 : Enum
/- [no_nested_borrows::EmptyStruct] -/
structure EmptyStruct where
/- [no_nested_borrows::Sum] -/
inductive Sum (T1 T2 : Type) :=
| Left : T1 → Sum T1 T2
| Right : T2 → Sum T1 T2
/- [no_nested_borrows::neg_test]: forward function -/
def neg_test (x : I32) : Result I32 :=
- x
/- [no_nested_borrows::add_test]: forward function -/
def add_test (x : U32) (y : U32) : Result U32 :=
x + y
/- [no_nested_borrows::subs_test]: forward function -/
def subs_test (x : U32) (y : U32) : Result U32 :=
x - y
/- [no_nested_borrows::div_test]: forward function -/
def div_test (x : U32) (y : U32) : Result U32 :=
x / y
/- [no_nested_borrows::div_test1]: forward function -/
def div_test1 (x : U32) : Result U32 :=
x / 2#u32
/- [no_nested_borrows::rem_test]: forward function -/
def rem_test (x : U32) (y : U32) : Result U32 :=
x % y
/- [no_nested_borrows::mul_test]: forward function -/
def mul_test (x : U32) (y : U32) : Result U32 :=
x * y
/- [no_nested_borrows::CONST0] -/
def const0_body : Result Usize := 1#usize + 1#usize
def const0_c : Usize := eval_global const0_body (by simp)
/- [no_nested_borrows::CONST1] -/
def const1_body : Result Usize := 2#usize * 2#usize
def const1_c : Usize := eval_global const1_body (by simp)
/- [no_nested_borrows::cast_test]: forward function -/
def cast_test (x : U32) : Result I32 :=
Scalar.cast .I32 x
/- [no_nested_borrows::test2]: forward function -/
def test2 : Result Unit :=
do
let _ ← 23#u32 + 44#u32
Result.ret ()
/- Unit test for [no_nested_borrows::test2] -/
#assert (test2 == .ret ())
/- [no_nested_borrows::get_max]: forward function -/
def get_max (x : U32) (y : U32) : Result U32 :=
if x >= y
then Result.ret x
else Result.ret y
/- [no_nested_borrows::test3]: forward function -/
def test3 : Result Unit :=
do
let x ← get_max 4#u32 3#u32
let y ← get_max 10#u32 11#u32
let z ← x + y
if not (z = 15#u32)
then Result.fail Error.panic
else Result.ret ()
/- Unit test for [no_nested_borrows::test3] -/
#assert (test3 == .ret ())
/- [no_nested_borrows::test_neg1]: forward function -/
def test_neg1 : Result Unit :=
do
let y ← - 3#i32
if not (y = (-(3:Int))#i32)
then Result.fail Error.panic
else Result.ret ()
/- Unit test for [no_nested_borrows::test_neg1] -/
#assert (test_neg1 == .ret ())
/- [no_nested_borrows::refs_test1]: forward function -/
def refs_test1 : Result Unit :=
if not (1#i32 = 1#i32)
then Result.fail Error.panic
else Result.ret ()
/- Unit test for [no_nested_borrows::refs_test1] -/
#assert (refs_test1 == .ret ())
/- [no_nested_borrows::refs_test2]: forward function -/
def refs_test2 : Result Unit :=
if not (2#i32 = 2#i32)
then Result.fail Error.panic
else
if not (0#i32 = 0#i32)
then Result.fail Error.panic
else
if not (2#i32 = 2#i32)
then Result.fail Error.panic
else
if not (2#i32 = 2#i32)
then Result.fail Error.panic
else Result.ret ()
/- Unit test for [no_nested_borrows::refs_test2] -/
#assert (refs_test2 == .ret ())
/- [no_nested_borrows::test_list1]: forward function -/
def test_list1 : Result Unit :=
Result.ret ()
/- Unit test for [no_nested_borrows::test_list1] -/
#assert (test_list1 == .ret ())
/- [no_nested_borrows::test_box1]: forward function -/
def test_box1 : Result Unit :=
do
let b := 0#i32
let b0 ← alloc.boxed.Box.deref_mut_back I32 b 1#i32
let x ← alloc.boxed.Box.deref I32 b0
if not (x = 1#i32)
then Result.fail Error.panic
else Result.ret ()
/- Unit test for [no_nested_borrows::test_box1] -/
#assert (test_box1 == .ret ())
/- [no_nested_borrows::copy_int]: forward function -/
def copy_int (x : I32) : Result I32 :=
Result.ret x
/- [no_nested_borrows::test_unreachable]: forward function -/
def test_unreachable (b : Bool) : Result Unit :=
if b
then Result.fail Error.panic
else Result.ret ()
/- [no_nested_borrows::test_panic]: forward function -/
def test_panic (b : Bool) : Result Unit :=
if b
then Result.fail Error.panic
else Result.ret ()
/- [no_nested_borrows::test_copy_int]: forward function -/
def test_copy_int : Result Unit :=
do
let y ← copy_int 0#i32
if not (0#i32 = y)
then Result.fail Error.panic
else Result.ret ()
/- Unit test for [no_nested_borrows::test_copy_int] -/
#assert (test_copy_int == .ret ())
/- [no_nested_borrows::is_cons]: forward function -/
def is_cons (T : Type) (l : List T) : Result Bool :=
match l with
| List.Cons t l0 => Result.ret true
| List.Nil => Result.ret false
/- [no_nested_borrows::test_is_cons]: forward function -/
def test_is_cons : Result Unit :=
do
let l := List.Nil
let b ← is_cons I32 (List.Cons 0#i32 l)
if not b
then Result.fail Error.panic
else Result.ret ()
/- Unit test for [no_nested_borrows::test_is_cons] -/
#assert (test_is_cons == .ret ())
/- [no_nested_borrows::split_list]: forward function -/
def split_list (T : Type) (l : List T) : Result (T × (List T)) :=
match l with
| List.Cons hd tl => Result.ret (hd, tl)
| List.Nil => Result.fail Error.panic
/- [no_nested_borrows::test_split_list]: forward function -/
def test_split_list : Result Unit :=
do
let l := List.Nil
let p ← split_list I32 (List.Cons 0#i32 l)
let (hd, _) := p
if not (hd = 0#i32)
then Result.fail Error.panic
else Result.ret ()
/- Unit test for [no_nested_borrows::test_split_list] -/
#assert (test_split_list == .ret ())
/- [no_nested_borrows::choose]: forward function -/
def choose (T : Type) (b : Bool) (x : T) (y : T) : Result T :=
if b
then Result.ret x
else Result.ret y
/- [no_nested_borrows::choose]: backward function 0 -/
def choose_back
(T : Type) (b : Bool) (x : T) (y : T) (ret0 : T) : Result (T × T) :=
if b
then Result.ret (ret0, y)
else Result.ret (x, ret0)
/- [no_nested_borrows::choose_test]: forward function -/
def choose_test : Result Unit :=
do
let z ← choose I32 true 0#i32 0#i32
let z0 ← z + 1#i32
if not (z0 = 1#i32)
then Result.fail Error.panic
else
do
let (x, y) ← choose_back I32 true 0#i32 0#i32 z0
if not (x = 1#i32)
then Result.fail Error.panic
else if not (y = 0#i32)
then Result.fail Error.panic
else Result.ret ()
/- Unit test for [no_nested_borrows::choose_test] -/
#assert (choose_test == .ret ())
/- [no_nested_borrows::test_char]: forward function -/
def test_char : Result Char :=
Result.ret 'a'
mutual
/- [no_nested_borrows::Tree] -/
inductive Tree (T : Type) :=
| Leaf : T → Tree T
| Node : T → NodeElem T → Tree T → Tree T
/- [no_nested_borrows::NodeElem] -/
inductive NodeElem (T : Type) :=
| Cons : Tree T → NodeElem T → NodeElem T
| Nil : NodeElem T
end
/- [no_nested_borrows::list_length]: forward function -/
divergent def list_length (T : Type) (l : List T) : Result U32 :=
match l with
| List.Cons t l1 => do
let i ← list_length T l1
1#u32 + i
| List.Nil => Result.ret 0#u32
/- [no_nested_borrows::list_nth_shared]: forward function -/
divergent def list_nth_shared (T : Type) (l : List T) (i : U32) : Result T :=
match l with
| List.Cons x tl =>
if i = 0#u32
then Result.ret x
else do
let i0 ← i - 1#u32
list_nth_shared T tl i0
| List.Nil => Result.fail Error.panic
/- [no_nested_borrows::list_nth_mut]: forward function -/
divergent def list_nth_mut (T : Type) (l : List T) (i : U32) : Result T :=
match l with
| List.Cons x tl =>
if i = 0#u32
then Result.ret x
else do
let i0 ← i - 1#u32
list_nth_mut T tl i0
| List.Nil => Result.fail Error.panic
/- [no_nested_borrows::list_nth_mut]: backward function 0 -/
divergent def list_nth_mut_back
(T : Type) (l : List T) (i : U32) (ret0 : T) : Result (List T) :=
match l with
| List.Cons x tl =>
if i = 0#u32
then Result.ret (List.Cons ret0 tl)
else
do
let i0 ← i - 1#u32
let tl0 ← list_nth_mut_back T tl i0 ret0
Result.ret (List.Cons x tl0)
| List.Nil => Result.fail Error.panic
/- [no_nested_borrows::list_rev_aux]: forward function -/
divergent def list_rev_aux
(T : Type) (li : List T) (lo : List T) : Result (List T) :=
match li with
| List.Cons hd tl => list_rev_aux T tl (List.Cons hd lo)
| List.Nil => Result.ret lo
/- [no_nested_borrows::list_rev]: merged forward/backward function
(there is a single backward function, and the forward function returns ()) -/
def list_rev (T : Type) (l : List T) : Result (List T) :=
let li := core.mem.replace (List T) l List.Nil
list_rev_aux T li List.Nil
/- [no_nested_borrows::test_list_functions]: forward function -/
def test_list_functions : Result Unit :=
do
let l := List.Nil
let l0 := List.Cons 2#i32 l
let l1 := List.Cons 1#i32 l0
let i ← list_length I32 (List.Cons 0#i32 l1)
if not (i = 3#u32)
then Result.fail Error.panic
else
do
let i0 ← list_nth_shared I32 (List.Cons 0#i32 l1) 0#u32
if not (i0 = 0#i32)
then Result.fail Error.panic
else
do
let i1 ← list_nth_shared I32 (List.Cons 0#i32 l1) 1#u32
if not (i1 = 1#i32)
then Result.fail Error.panic
else
do
let i2 ← list_nth_shared I32 (List.Cons 0#i32 l1) 2#u32
if not (i2 = 2#i32)
then Result.fail Error.panic
else
do
let ls ←
list_nth_mut_back I32 (List.Cons 0#i32 l1) 1#u32 3#i32
let i3 ← list_nth_shared I32 ls 0#u32
if not (i3 = 0#i32)
then Result.fail Error.panic
else
do
let i4 ← list_nth_shared I32 ls 1#u32
if not (i4 = 3#i32)
then Result.fail Error.panic
else
do
let i5 ← list_nth_shared I32 ls 2#u32
if not (i5 = 2#i32)
then Result.fail Error.panic
else Result.ret ()
/- Unit test for [no_nested_borrows::test_list_functions] -/
#assert (test_list_functions == .ret ())
/- [no_nested_borrows::id_mut_pair1]: forward function -/
def id_mut_pair1 (T1 T2 : Type) (x : T1) (y : T2) : Result (T1 × T2) :=
Result.ret (x, y)
/- [no_nested_borrows::id_mut_pair1]: backward function 0 -/
def id_mut_pair1_back
(T1 T2 : Type) (x : T1) (y : T2) (ret0 : (T1 × T2)) : Result (T1 × T2) :=
let (t, t0) := ret0
Result.ret (t, t0)
/- [no_nested_borrows::id_mut_pair2]: forward function -/
def id_mut_pair2 (T1 T2 : Type) (p : (T1 × T2)) : Result (T1 × T2) :=
let (t, t0) := p
Result.ret (t, t0)
/- [no_nested_borrows::id_mut_pair2]: backward function 0 -/
def id_mut_pair2_back
(T1 T2 : Type) (p : (T1 × T2)) (ret0 : (T1 × T2)) : Result (T1 × T2) :=
let (t, t0) := ret0
Result.ret (t, t0)
/- [no_nested_borrows::id_mut_pair3]: forward function -/
def id_mut_pair3 (T1 T2 : Type) (x : T1) (y : T2) : Result (T1 × T2) :=
Result.ret (x, y)
/- [no_nested_borrows::id_mut_pair3]: backward function 0 -/
def id_mut_pair3_back'a
(T1 T2 : Type) (x : T1) (y : T2) (ret0 : T1) : Result T1 :=
Result.ret ret0
/- [no_nested_borrows::id_mut_pair3]: backward function 1 -/
def id_mut_pair3_back'b
(T1 T2 : Type) (x : T1) (y : T2) (ret0 : T2) : Result T2 :=
Result.ret ret0
/- [no_nested_borrows::id_mut_pair4]: forward function -/
def id_mut_pair4 (T1 T2 : Type) (p : (T1 × T2)) : Result (T1 × T2) :=
let (t, t0) := p
Result.ret (t, t0)
/- [no_nested_borrows::id_mut_pair4]: backward function 0 -/
def id_mut_pair4_back'a
(T1 T2 : Type) (p : (T1 × T2)) (ret0 : T1) : Result T1 :=
Result.ret ret0
/- [no_nested_borrows::id_mut_pair4]: backward function 1 -/
def id_mut_pair4_back'b
(T1 T2 : Type) (p : (T1 × T2)) (ret0 : T2) : Result T2 :=
Result.ret ret0
/- [no_nested_borrows::StructWithTuple] -/
structure StructWithTuple (T1 T2 : Type) where
p : (T1 × T2)
/- [no_nested_borrows::new_tuple1]: forward function -/
def new_tuple1 : Result (StructWithTuple U32 U32) :=
Result.ret { p := (1#u32, 2#u32) }
/- [no_nested_borrows::new_tuple2]: forward function -/
def new_tuple2 : Result (StructWithTuple I16 I16) :=
Result.ret { p := (1#i16, 2#i16) }
/- [no_nested_borrows::new_tuple3]: forward function -/
def new_tuple3 : Result (StructWithTuple U64 I64) :=
Result.ret { p := (1#u64, 2#i64) }
/- [no_nested_borrows::StructWithPair] -/
structure StructWithPair (T1 T2 : Type) where
p : Pair T1 T2
/- [no_nested_borrows::new_pair1]: forward function -/
def new_pair1 : Result (StructWithPair U32 U32) :=
Result.ret { p := { x := 1#u32, y := 2#u32 } }
/- [no_nested_borrows::test_constants]: forward function -/
def test_constants : Result Unit :=
do
let swt ← new_tuple1
let (i, _) := swt.p
if not (i = 1#u32)
then Result.fail Error.panic
else
do
let swt0 ← new_tuple2
let (i0, _) := swt0.p
if not (i0 = 1#i16)
then Result.fail Error.panic
else
do
let swt1 ← new_tuple3
let (i1, _) := swt1.p
if not (i1 = 1#u64)
then Result.fail Error.panic
else
do
let swp ← new_pair1
if not (swp.p.x = 1#u32)
then Result.fail Error.panic
else Result.ret ()
/- Unit test for [no_nested_borrows::test_constants] -/
#assert (test_constants == .ret ())
/- [no_nested_borrows::test_weird_borrows1]: forward function -/
def test_weird_borrows1 : Result Unit :=
Result.ret ()
/- Unit test for [no_nested_borrows::test_weird_borrows1] -/
#assert (test_weird_borrows1 == .ret ())
/- [no_nested_borrows::test_mem_replace]: merged forward/backward function
(there is a single backward function, and the forward function returns ()) -/
def test_mem_replace (px : U32) : Result U32 :=
let y := core.mem.replace U32 px 1#u32
if not (y = 0#u32)
then Result.fail Error.panic
else Result.ret 2#u32
/- [no_nested_borrows::test_shared_borrow_bool1]: forward function -/
def test_shared_borrow_bool1 (b : Bool) : Result U32 :=
if b
then Result.ret 0#u32
else Result.ret 1#u32
/- [no_nested_borrows::test_shared_borrow_bool2]: forward function -/
def test_shared_borrow_bool2 : Result U32 :=
Result.ret 0#u32
/- [no_nested_borrows::test_shared_borrow_enum1]: forward function -/
def test_shared_borrow_enum1 (l : List U32) : Result U32 :=
match l with
| List.Cons i l0 => Result.ret 1#u32
| List.Nil => Result.ret 0#u32
/- [no_nested_borrows::test_shared_borrow_enum2]: forward function -/
def test_shared_borrow_enum2 : Result U32 :=
Result.ret 0#u32
end no_nested_borrows
|