summaryrefslogtreecommitdiff
path: root/tests/hashmap/Hashmap.Funs.fst
blob: 6e67fca4386e96715b512f4f715232d11b342fcf (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
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
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
(** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *)
(** [hashmap]: function definitions *)
module Hashmap.Funs
open Primitives
include Hashmap.Types
include Hashmap.Clauses

#set-options "--z3rlimit 50 --fuel 1 --ifuel 1"

(** [hashmap::hash_key] *)
let hash_key_fwd (k : usize) : result usize = Return k

(** [hashmap::HashMap::{0}::allocate_slots] *)
let rec hash_map_allocate_slots_fwd
  (t : Type0) (slots : vec (list_t t)) (n : usize) :
  Tot (result (vec (list_t t)))
  (decreases (hash_map_allocate_slots_decreases t slots n))
  =
  if n = 0
  then Return slots
  else
    begin match vec_push_back (list_t t) slots ListNil with
    | Fail -> Fail
    | Return slots0 ->
      begin match usize_sub n 1 with
      | Fail -> Fail
      | Return i ->
        begin match hash_map_allocate_slots_fwd t slots0 i with
        | Fail -> Fail
        | Return v -> Return v
        end
      end
    end

(** [hashmap::HashMap::{0}::new_with_capacity] *)
let hash_map_new_with_capacity_fwd
  (t : Type0) (capacity : usize) (max_load_dividend : usize)
  (max_load_divisor : usize) :
  result (hash_map_t t)
  =
  let v = vec_new (list_t t) in
  begin match hash_map_allocate_slots_fwd t v capacity with
  | Fail -> Fail
  | Return slots ->
    begin match usize_mul capacity max_load_dividend with
    | Fail -> Fail
    | Return i ->
      begin match usize_div i max_load_divisor with
      | Fail -> Fail
      | Return i0 ->
        Return (Mkhash_map_t 0 (max_load_dividend, max_load_divisor) i0 slots)
      end
    end
  end

(** [hashmap::HashMap::{0}::new] *)
let hash_map_new_fwd (t : Type0) : result (hash_map_t t) =
  begin match hash_map_new_with_capacity_fwd t 32 4 5 with
  | Fail -> Fail
  | Return hm -> Return hm
  end

(** [hashmap::HashMap::{0}::clear_slots] *)
let rec hash_map_clear_slots_fwd_back
  (t : Type0) (slots : vec (list_t t)) (i : usize) :
  Tot (result (vec (list_t t)))
  (decreases (hash_map_clear_slots_decreases t slots i))
  =
  let i0 = vec_len (list_t t) slots in
  if i < i0
  then
    begin match vec_index_mut_back (list_t t) slots i ListNil with
    | Fail -> Fail
    | Return slots0 ->
      begin match usize_add i 1 with
      | Fail -> Fail
      | Return i1 ->
        begin match hash_map_clear_slots_fwd_back t slots0 i1 with
        | Fail -> Fail
        | Return slots1 -> Return slots1
        end
      end
    end
  else Return slots

(** [hashmap::HashMap::{0}::clear] *)
let hash_map_clear_fwd_back
  (t : Type0) (self : hash_map_t t) : result (hash_map_t t) =
  begin match hash_map_clear_slots_fwd_back t self.hash_map_slots 0 with
  | Fail -> Fail
  | Return v ->
    Return (Mkhash_map_t 0 self.hash_map_max_load_factor self.hash_map_max_load
      v)
  end

(** [hashmap::HashMap::{0}::len] *)
let hash_map_len_fwd (t : Type0) (self : hash_map_t t) : result usize =
  Return self.hash_map_num_entries

(** [hashmap::HashMap::{0}::insert_in_list] *)
let rec hash_map_insert_in_list_fwd
  (t : Type0) (key : usize) (value : t) (ls : list_t t) :
  Tot (result bool)
  (decreases (hash_map_insert_in_list_decreases t key value ls))
  =
  begin match ls with
  | ListCons ckey cvalue ls0 ->
    if ckey = key
    then Return false
    else
      begin match hash_map_insert_in_list_fwd t key value ls0 with
      | Fail -> Fail
      | Return b -> Return b
      end
  | ListNil -> Return true
  end

(** [hashmap::HashMap::{0}::insert_in_list] *)
let rec hash_map_insert_in_list_back
  (t : Type0) (key : usize) (value : t) (ls : list_t t) :
  Tot (result (list_t t))
  (decreases (hash_map_insert_in_list_decreases t key value ls))
  =
  begin match ls with
  | ListCons ckey cvalue ls0 ->
    if ckey = key
    then Return (ListCons ckey value ls0)
    else
      begin match hash_map_insert_in_list_back t key value ls0 with
      | Fail -> Fail
      | Return ls1 -> Return (ListCons ckey cvalue ls1)
      end
  | ListNil -> let l = ListNil in Return (ListCons key value l)
  end

(** [hashmap::HashMap::{0}::insert_no_resize] *)
let hash_map_insert_no_resize_fwd_back
  (t : Type0) (self : hash_map_t t) (key : usize) (value : t) :
  result (hash_map_t t)
  =
  begin match hash_key_fwd key with
  | Fail -> Fail
  | Return hash ->
    let i = vec_len (list_t t) self.hash_map_slots in
    begin match usize_rem hash i with
    | Fail -> Fail
    | Return hash_mod ->
      begin match vec_index_mut_fwd (list_t t) self.hash_map_slots hash_mod
        with
      | Fail -> Fail
      | Return l ->
        begin match hash_map_insert_in_list_fwd t key value l with
        | Fail -> Fail
        | Return inserted ->
          if inserted
          then
            begin match usize_add self.hash_map_num_entries 1 with
            | Fail -> Fail
            | Return i0 ->
              begin match hash_map_insert_in_list_back t key value l with
              | Fail -> Fail
              | Return l0 ->
                begin match
                  vec_index_mut_back (list_t t) self.hash_map_slots hash_mod l0
                  with
                | Fail -> Fail
                | Return v ->
                  Return (Mkhash_map_t i0 self.hash_map_max_load_factor
                    self.hash_map_max_load v)
                end
              end
            end
          else
            begin match hash_map_insert_in_list_back t key value l with
            | Fail -> Fail
            | Return l0 ->
              begin match
                vec_index_mut_back (list_t t) self.hash_map_slots hash_mod l0
                with
              | Fail -> Fail
              | Return v ->
                Return (Mkhash_map_t self.hash_map_num_entries
                  self.hash_map_max_load_factor self.hash_map_max_load v)
              end
            end
        end
      end
    end
  end

(** [core::num::u32::{9}::MAX] *)
let core_num_u32_max_body : result u32 = Return 4294967295
let core_num_u32_max_c : u32 = eval_global core_num_u32_max_body

(** [hashmap::HashMap::{0}::move_elements_from_list] *)
let rec hash_map_move_elements_from_list_fwd_back
  (t : Type0) (ntable : hash_map_t t) (ls : list_t t) :
  Tot (result (hash_map_t t))
  (decreases (hash_map_move_elements_from_list_decreases t ntable ls))
  =
  begin match ls with
  | ListCons k v tl ->
    begin match hash_map_insert_no_resize_fwd_back t ntable k v with
    | Fail -> Fail
    | Return ntable0 ->
      begin match hash_map_move_elements_from_list_fwd_back t ntable0 tl with
      | Fail -> Fail
      | Return ntable1 -> Return ntable1
      end
    end
  | ListNil -> Return ntable
  end

(** [hashmap::HashMap::{0}::move_elements] *)
let rec hash_map_move_elements_fwd_back
  (t : Type0) (ntable : hash_map_t t) (slots : vec (list_t t)) (i : usize) :
  Tot (result ((hash_map_t t) & (vec (list_t t))))
  (decreases (hash_map_move_elements_decreases t ntable slots i))
  =
  let i0 = vec_len (list_t t) slots in
  if i < i0
  then
    begin match vec_index_mut_fwd (list_t t) slots i with
    | Fail -> Fail
    | Return l ->
      let ls = mem_replace_fwd (list_t t) l ListNil in
      begin match hash_map_move_elements_from_list_fwd_back t ntable ls with
      | Fail -> Fail
      | Return ntable0 ->
        let l0 = mem_replace_back (list_t t) l ListNil in
        begin match vec_index_mut_back (list_t t) slots i l0 with
        | Fail -> Fail
        | Return slots0 ->
          begin match usize_add i 1 with
          | Fail -> Fail
          | Return i1 ->
            begin match hash_map_move_elements_fwd_back t ntable0 slots0 i1
              with
            | Fail -> Fail
            | Return (ntable1, slots1) -> Return (ntable1, slots1)
            end
          end
        end
      end
    end
  else Return (ntable, slots)

(** [hashmap::HashMap::{0}::try_resize] *)
let hash_map_try_resize_fwd_back
  (t : Type0) (self : hash_map_t t) : result (hash_map_t t) =
  begin match scalar_cast U32 Usize core_num_u32_max_c with
  | Fail -> Fail
  | Return max_usize ->
    let capacity = vec_len (list_t t) self.hash_map_slots in
    begin match usize_div max_usize 2 with
    | Fail -> Fail
    | Return n1 ->
      let (i, i0) = self.hash_map_max_load_factor in
      begin match usize_div n1 i with
      | Fail -> Fail
      | Return i1 ->
        if capacity <= i1
        then
          begin match usize_mul capacity 2 with
          | Fail -> Fail
          | Return i2 ->
            begin match hash_map_new_with_capacity_fwd t i2 i i0 with
            | Fail -> Fail
            | Return ntable ->
              begin match
                hash_map_move_elements_fwd_back t ntable self.hash_map_slots 0
                with
              | Fail -> Fail
              | Return (ntable0, _) ->
                Return (Mkhash_map_t self.hash_map_num_entries (i, i0)
                  ntable0.hash_map_max_load ntable0.hash_map_slots)
              end
            end
          end
        else
          Return (Mkhash_map_t self.hash_map_num_entries (i, i0)
            self.hash_map_max_load self.hash_map_slots)
      end
    end
  end

(** [hashmap::HashMap::{0}::insert] *)
let hash_map_insert_fwd_back
  (t : Type0) (self : hash_map_t t) (key : usize) (value : t) :
  result (hash_map_t t)
  =
  begin match hash_map_insert_no_resize_fwd_back t self key value with
  | Fail -> Fail
  | Return self0 ->
    begin match hash_map_len_fwd t self0 with
    | Fail -> Fail
    | Return i ->
      if i > self0.hash_map_max_load
      then
        begin match hash_map_try_resize_fwd_back t self0 with
        | Fail -> Fail
        | Return self1 -> Return self1
        end
      else Return self0
    end
  end

(** [hashmap::HashMap::{0}::contains_key_in_list] *)
let rec hash_map_contains_key_in_list_fwd
  (t : Type0) (key : usize) (ls : list_t t) :
  Tot (result bool)
  (decreases (hash_map_contains_key_in_list_decreases t key ls))
  =
  begin match ls with
  | ListCons ckey x ls0 ->
    if ckey = key
    then Return true
    else
      begin match hash_map_contains_key_in_list_fwd t key ls0 with
      | Fail -> Fail
      | Return b -> Return b
      end
  | ListNil -> Return false
  end

(** [hashmap::HashMap::{0}::contains_key] *)
let hash_map_contains_key_fwd
  (t : Type0) (self : hash_map_t t) (key : usize) : result bool =
  begin match hash_key_fwd key with
  | Fail -> Fail
  | Return hash ->
    let i = vec_len (list_t t) self.hash_map_slots in
    begin match usize_rem hash i with
    | Fail -> Fail
    | Return hash_mod ->
      begin match vec_index_fwd (list_t t) self.hash_map_slots hash_mod with
      | Fail -> Fail
      | Return l ->
        begin match hash_map_contains_key_in_list_fwd t key l with
        | Fail -> Fail
        | Return b -> Return b
        end
      end
    end
  end

(** [hashmap::HashMap::{0}::get_in_list] *)
let rec hash_map_get_in_list_fwd
  (t : Type0) (key : usize) (ls : list_t t) :
  Tot (result t) (decreases (hash_map_get_in_list_decreases t key ls))
  =
  begin match ls with
  | ListCons ckey cvalue ls0 ->
    if ckey = key
    then Return cvalue
    else
      begin match hash_map_get_in_list_fwd t key ls0 with
      | Fail -> Fail
      | Return x -> Return x
      end
  | ListNil -> Fail
  end

(** [hashmap::HashMap::{0}::get] *)
let hash_map_get_fwd
  (t : Type0) (self : hash_map_t t) (key : usize) : result t =
  begin match hash_key_fwd key with
  | Fail -> Fail
  | Return hash ->
    let i = vec_len (list_t t) self.hash_map_slots in
    begin match usize_rem hash i with
    | Fail -> Fail
    | Return hash_mod ->
      begin match vec_index_fwd (list_t t) self.hash_map_slots hash_mod with
      | Fail -> Fail
      | Return l ->
        begin match hash_map_get_in_list_fwd t key l with
        | Fail -> Fail
        | Return x -> Return x
        end
      end
    end
  end

(** [hashmap::HashMap::{0}::get_mut_in_list] *)
let rec hash_map_get_mut_in_list_fwd
  (t : Type0) (key : usize) (ls : list_t t) :
  Tot (result t) (decreases (hash_map_get_mut_in_list_decreases t key ls))
  =
  begin match ls with
  | ListCons ckey cvalue ls0 ->
    if ckey = key
    then Return cvalue
    else
      begin match hash_map_get_mut_in_list_fwd t key ls0 with
      | Fail -> Fail
      | Return x -> Return x
      end
  | ListNil -> Fail
  end

(** [hashmap::HashMap::{0}::get_mut_in_list] *)
let rec hash_map_get_mut_in_list_back
  (t : Type0) (key : usize) (ls : list_t t) (ret : t) :
  Tot (result (list_t t))
  (decreases (hash_map_get_mut_in_list_decreases t key ls))
  =
  begin match ls with
  | ListCons ckey cvalue ls0 ->
    if ckey = key
    then Return (ListCons ckey ret ls0)
    else
      begin match hash_map_get_mut_in_list_back t key ls0 ret with
      | Fail -> Fail
      | Return ls1 -> Return (ListCons ckey cvalue ls1)
      end
  | ListNil -> Fail
  end

(** [hashmap::HashMap::{0}::get_mut] *)
let hash_map_get_mut_fwd
  (t : Type0) (self : hash_map_t t) (key : usize) : result t =
  begin match hash_key_fwd key with
  | Fail -> Fail
  | Return hash ->
    let i = vec_len (list_t t) self.hash_map_slots in
    begin match usize_rem hash i with
    | Fail -> Fail
    | Return hash_mod ->
      begin match vec_index_mut_fwd (list_t t) self.hash_map_slots hash_mod
        with
      | Fail -> Fail
      | Return l ->
        begin match hash_map_get_mut_in_list_fwd t key l with
        | Fail -> Fail
        | Return x -> Return x
        end
      end
    end
  end

(** [hashmap::HashMap::{0}::get_mut] *)
let hash_map_get_mut_back
  (t : Type0) (self : hash_map_t t) (key : usize) (ret : t) :
  result (hash_map_t t)
  =
  begin match hash_key_fwd key with
  | Fail -> Fail
  | Return hash ->
    let i = vec_len (list_t t) self.hash_map_slots in
    begin match usize_rem hash i with
    | Fail -> Fail
    | Return hash_mod ->
      begin match vec_index_mut_fwd (list_t t) self.hash_map_slots hash_mod
        with
      | Fail -> Fail
      | Return l ->
        begin match hash_map_get_mut_in_list_back t key l ret with
        | Fail -> Fail
        | Return l0 ->
          begin match
            vec_index_mut_back (list_t t) self.hash_map_slots hash_mod l0 with
          | Fail -> Fail
          | Return v ->
            Return (Mkhash_map_t self.hash_map_num_entries
              self.hash_map_max_load_factor self.hash_map_max_load v)
          end
        end
      end
    end
  end

(** [hashmap::HashMap::{0}::remove_from_list] *)
let rec hash_map_remove_from_list_fwd
  (t : Type0) (key : usize) (ls : list_t t) :
  Tot (result (option t))
  (decreases (hash_map_remove_from_list_decreases t key ls))
  =
  begin match ls with
  | ListCons ckey x tl ->
    if ckey = key
    then
      let mv_ls = mem_replace_fwd (list_t t) (ListCons ckey x tl) ListNil in
      begin match mv_ls with
      | ListCons i cvalue tl0 -> Return (Some cvalue)
      | ListNil -> Fail
      end
    else
      begin match hash_map_remove_from_list_fwd t key tl with
      | Fail -> Fail
      | Return opt -> Return opt
      end
  | ListNil -> Return None
  end

(** [hashmap::HashMap::{0}::remove_from_list] *)
let rec hash_map_remove_from_list_back
  (t : Type0) (key : usize) (ls : list_t t) :
  Tot (result (list_t t))
  (decreases (hash_map_remove_from_list_decreases t key ls))
  =
  begin match ls with
  | ListCons ckey x tl ->
    if ckey = key
    then
      let mv_ls = mem_replace_fwd (list_t t) (ListCons ckey x tl) ListNil in
      begin match mv_ls with
      | ListCons i cvalue tl0 -> Return tl0
      | ListNil -> Fail
      end
    else
      begin match hash_map_remove_from_list_back t key tl with
      | Fail -> Fail
      | Return tl0 -> Return (ListCons ckey x tl0)
      end
  | ListNil -> Return ListNil
  end

(** [hashmap::HashMap::{0}::remove] *)
let hash_map_remove_fwd
  (t : Type0) (self : hash_map_t t) (key : usize) : result (option t) =
  begin match hash_key_fwd key with
  | Fail -> Fail
  | Return hash ->
    let i = vec_len (list_t t) self.hash_map_slots in
    begin match usize_rem hash i with
    | Fail -> Fail
    | Return hash_mod ->
      begin match vec_index_mut_fwd (list_t t) self.hash_map_slots hash_mod
        with
      | Fail -> Fail
      | Return l ->
        begin match hash_map_remove_from_list_fwd t key l with
        | Fail -> Fail
        | Return x ->
          begin match x with
          | None -> Return None
          | Some x0 ->
            begin match usize_sub self.hash_map_num_entries 1 with
            | Fail -> Fail
            | Return _ -> Return (Some x0)
            end
          end
        end
      end
    end
  end

(** [hashmap::HashMap::{0}::remove] *)
let hash_map_remove_back
  (t : Type0) (self : hash_map_t t) (key : usize) : result (hash_map_t t) =
  begin match hash_key_fwd key with
  | Fail -> Fail
  | Return hash ->
    let i = vec_len (list_t t) self.hash_map_slots in
    begin match usize_rem hash i with
    | Fail -> Fail
    | Return hash_mod ->
      begin match vec_index_mut_fwd (list_t t) self.hash_map_slots hash_mod
        with
      | Fail -> Fail
      | Return l ->
        begin match hash_map_remove_from_list_fwd t key l with
        | Fail -> Fail
        | Return x ->
          begin match x with
          | None ->
            begin match hash_map_remove_from_list_back t key l with
            | Fail -> Fail
            | Return l0 ->
              begin match
                vec_index_mut_back (list_t t) self.hash_map_slots hash_mod l0
                with
              | Fail -> Fail
              | Return v ->
                Return (Mkhash_map_t self.hash_map_num_entries
                  self.hash_map_max_load_factor self.hash_map_max_load v)
              end
            end
          | Some x0 ->
            begin match usize_sub self.hash_map_num_entries 1 with
            | Fail -> Fail
            | Return i0 ->
              begin match hash_map_remove_from_list_back t key l with
              | Fail -> Fail
              | Return l0 ->
                begin match
                  vec_index_mut_back (list_t t) self.hash_map_slots hash_mod l0
                  with
                | Fail -> Fail
                | Return v ->
                  Return (Mkhash_map_t i0 self.hash_map_max_load_factor
                    self.hash_map_max_load v)
                end
              end
            end
          end
        end
      end
    end
  end

(** [hashmap::test1] *)
let test1_fwd : result unit =
  begin match hash_map_new_fwd u64 with
  | Fail -> Fail
  | Return hm ->
    begin match hash_map_insert_fwd_back u64 hm 0 42 with
    | Fail -> Fail
    | Return hm0 ->
      begin match hash_map_insert_fwd_back u64 hm0 128 18 with
      | Fail -> Fail
      | Return hm1 ->
        begin match hash_map_insert_fwd_back u64 hm1 1024 138 with
        | Fail -> Fail
        | Return hm2 ->
          begin match hash_map_insert_fwd_back u64 hm2 1056 256 with
          | Fail -> Fail
          | Return hm3 ->
            begin match hash_map_get_fwd u64 hm3 128 with
            | Fail -> Fail
            | Return i ->
              if not (i = 18)
              then Fail
              else
                begin match hash_map_get_mut_back u64 hm3 1024 56 with
                | Fail -> Fail
                | Return hm4 ->
                  begin match hash_map_get_fwd u64 hm4 1024 with
                  | Fail -> Fail
                  | Return i0 ->
                    if not (i0 = 56)
                    then Fail
                    else
                      begin match hash_map_remove_fwd u64 hm4 1024 with
                      | Fail -> Fail
                      | Return x ->
                        begin match x with
                        | None -> Fail
                        | Some x0 ->
                          if not (x0 = 56)
                          then Fail
                          else
                            begin match hash_map_remove_back u64 hm4 1024 with
                            | Fail -> Fail
                            | Return hm5 ->
                              begin match hash_map_get_fwd u64 hm5 0 with
                              | Fail -> Fail
                              | Return i1 ->
                                if not (i1 = 42)
                                then Fail
                                else
                                  begin match hash_map_get_fwd u64 hm5 128 with
                                  | Fail -> Fail
                                  | Return i2 ->
                                    if not (i2 = 18)
                                    then Fail
                                    else
                                      begin match hash_map_get_fwd u64 hm5 1056
                                        with
                                      | Fail -> Fail
                                      | Return i3 ->
                                        if not (i3 = 256)
                                        then Fail
                                        else Return ()
                                      end
                                  end
                              end
                            end
                        end
                      end
                  end
                end
            end
          end
        end
      end
    end
  end

(** Unit test for [hashmap::test1] *)
let _ = assert_norm (test1_fwd = Return ())