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+(** 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]: forward function
+ Source: 'src/hashmap.rs', lines 27:0-27:32 *)
+let hash_key (k : usize) : result usize =
+ Return k
+
+(** [hashmap::{hashmap::HashMap<T>}::allocate_slots]: loop 0: forward function
+ Source: 'src/hashmap.rs', lines 50:4-56:5 *)
+let rec hashMap_allocate_slots_loop
+ (t : Type0) (slots : alloc_vec_Vec (list_t t)) (n : usize) :
+ Tot (result (alloc_vec_Vec (list_t t)))
+ (decreases (hashMap_allocate_slots_loop_decreases t slots n))
+ =
+ if n > 0
+ then
+ let* slots1 = alloc_vec_Vec_push (list_t t) slots List_Nil in
+ let* n1 = usize_sub n 1 in
+ hashMap_allocate_slots_loop t slots1 n1
+ else Return slots
+
+(** [hashmap::{hashmap::HashMap<T>}::allocate_slots]: forward function
+ Source: 'src/hashmap.rs', lines 50:4-50:76 *)
+let hashMap_allocate_slots
+ (t : Type0) (slots : alloc_vec_Vec (list_t t)) (n : usize) :
+ result (alloc_vec_Vec (list_t t))
+ =
+ hashMap_allocate_slots_loop t slots n
+
+(** [hashmap::{hashmap::HashMap<T>}::new_with_capacity]: forward function
+ Source: 'src/hashmap.rs', lines 59:4-63:13 *)
+let hashMap_new_with_capacity
+ (t : Type0) (capacity : usize) (max_load_dividend : usize)
+ (max_load_divisor : usize) :
+ result (hashMap_t t)
+ =
+ let v = alloc_vec_Vec_new (list_t t) in
+ let* slots = hashMap_allocate_slots t v capacity in
+ let* i = usize_mul capacity max_load_dividend in
+ let* i1 = usize_div i max_load_divisor in
+ Return
+ {
+ num_entries = 0;
+ max_load_factor = (max_load_dividend, max_load_divisor);
+ max_load = i1;
+ slots = slots
+ }
+
+(** [hashmap::{hashmap::HashMap<T>}::new]: forward function
+ Source: 'src/hashmap.rs', lines 75:4-75:24 *)
+let hashMap_new (t : Type0) : result (hashMap_t t) =
+ hashMap_new_with_capacity t 32 4 5
+
+(** [hashmap::{hashmap::HashMap<T>}::clear]: loop 0: merged forward/backward function
+ (there is a single backward function, and the forward function returns ())
+ Source: 'src/hashmap.rs', lines 80:4-88:5 *)
+let rec hashMap_clear_loop
+ (t : Type0) (slots : alloc_vec_Vec (list_t t)) (i : usize) :
+ Tot (result (alloc_vec_Vec (list_t t)))
+ (decreases (hashMap_clear_loop_decreases t slots i))
+ =
+ let i1 = alloc_vec_Vec_len (list_t t) slots in
+ if i < i1
+ then
+ let* i2 = usize_add i 1 in
+ let* slots1 =
+ alloc_vec_Vec_index_mut_back (list_t t) usize
+ (core_slice_index_SliceIndexUsizeSliceTInst (list_t t)) slots i
+ List_Nil in
+ hashMap_clear_loop t slots1 i2
+ else Return slots
+
+(** [hashmap::{hashmap::HashMap<T>}::clear]: merged forward/backward function
+ (there is a single backward function, and the forward function returns ())
+ Source: 'src/hashmap.rs', lines 80:4-80:27 *)
+let hashMap_clear (t : Type0) (self : hashMap_t t) : result (hashMap_t t) =
+ let* v = hashMap_clear_loop t self.slots 0 in
+ Return { self with num_entries = 0; slots = v }
+
+(** [hashmap::{hashmap::HashMap<T>}::len]: forward function
+ Source: 'src/hashmap.rs', lines 90:4-90:30 *)
+let hashMap_len (t : Type0) (self : hashMap_t t) : result usize =
+ Return self.num_entries
+
+(** [hashmap::{hashmap::HashMap<T>}::insert_in_list]: loop 0: forward function
+ Source: 'src/hashmap.rs', lines 97:4-114:5 *)
+let rec hashMap_insert_in_list_loop
+ (t : Type0) (key : usize) (value : t) (ls : list_t t) :
+ Tot (result bool)
+ (decreases (hashMap_insert_in_list_loop_decreases t key value ls))
+ =
+ begin match ls with
+ | List_Cons ckey _ tl ->
+ if ckey = key
+ then Return false
+ else hashMap_insert_in_list_loop t key value tl
+ | List_Nil -> Return true
+ end
+
+(** [hashmap::{hashmap::HashMap<T>}::insert_in_list]: forward function
+ Source: 'src/hashmap.rs', lines 97:4-97:71 *)
+let hashMap_insert_in_list
+ (t : Type0) (key : usize) (value : t) (ls : list_t t) : result bool =
+ hashMap_insert_in_list_loop t key value ls
+
+(** [hashmap::{hashmap::HashMap<T>}::insert_in_list]: loop 0: backward function 0
+ Source: 'src/hashmap.rs', lines 97:4-114:5 *)
+let rec hashMap_insert_in_list_loop_back
+ (t : Type0) (key : usize) (value : t) (ls : list_t t) :
+ Tot (result (list_t t))
+ (decreases (hashMap_insert_in_list_loop_decreases t key value ls))
+ =
+ begin match ls with
+ | List_Cons ckey cvalue tl ->
+ if ckey = key
+ then Return (List_Cons ckey value tl)
+ else
+ let* tl1 = hashMap_insert_in_list_loop_back t key value tl in
+ Return (List_Cons ckey cvalue tl1)
+ | List_Nil -> let l = List_Nil in Return (List_Cons key value l)
+ end
+
+(** [hashmap::{hashmap::HashMap<T>}::insert_in_list]: backward function 0
+ Source: 'src/hashmap.rs', lines 97:4-97:71 *)
+let hashMap_insert_in_list_back
+ (t : Type0) (key : usize) (value : t) (ls : list_t t) : result (list_t t) =
+ hashMap_insert_in_list_loop_back t key value ls
+
+(** [hashmap::{hashmap::HashMap<T>}::insert_no_resize]: merged forward/backward function
+ (there is a single backward function, and the forward function returns ())
+ Source: 'src/hashmap.rs', lines 117:4-117:54 *)
+let hashMap_insert_no_resize
+ (t : Type0) (self : hashMap_t t) (key : usize) (value : t) :
+ result (hashMap_t t)
+ =
+ let* hash = hash_key key in
+ let i = alloc_vec_Vec_len (list_t t) self.slots in
+ let* hash_mod = usize_rem hash i in
+ let* l =
+ alloc_vec_Vec_index_mut (list_t t) usize
+ (core_slice_index_SliceIndexUsizeSliceTInst (list_t t)) self.slots
+ hash_mod in
+ let* inserted = hashMap_insert_in_list t key value l in
+ if inserted
+ then
+ let* i1 = usize_add self.num_entries 1 in
+ let* l1 = hashMap_insert_in_list_back t key value l in
+ let* v =
+ alloc_vec_Vec_index_mut_back (list_t t) usize
+ (core_slice_index_SliceIndexUsizeSliceTInst (list_t t)) self.slots
+ hash_mod l1 in
+ Return { self with num_entries = i1; slots = v }
+ else
+ let* l1 = hashMap_insert_in_list_back t key value l in
+ let* v =
+ alloc_vec_Vec_index_mut_back (list_t t) usize
+ (core_slice_index_SliceIndexUsizeSliceTInst (list_t t)) self.slots
+ hash_mod l1 in
+ Return { self with slots = v }
+
+(** [hashmap::{hashmap::HashMap<T>}::move_elements_from_list]: loop 0: merged forward/backward function
+ (there is a single backward function, and the forward function returns ())
+ Source: 'src/hashmap.rs', lines 183:4-196:5 *)
+let rec hashMap_move_elements_from_list_loop
+ (t : Type0) (ntable : hashMap_t t) (ls : list_t t) :
+ Tot (result (hashMap_t t))
+ (decreases (hashMap_move_elements_from_list_loop_decreases t ntable ls))
+ =
+ begin match ls with
+ | List_Cons k v tl ->
+ let* ntable1 = hashMap_insert_no_resize t ntable k v in
+ hashMap_move_elements_from_list_loop t ntable1 tl
+ | List_Nil -> Return ntable
+ end
+
+(** [hashmap::{hashmap::HashMap<T>}::move_elements_from_list]: merged forward/backward function
+ (there is a single backward function, and the forward function returns ())
+ Source: 'src/hashmap.rs', lines 183:4-183:72 *)
+let hashMap_move_elements_from_list
+ (t : Type0) (ntable : hashMap_t t) (ls : list_t t) : result (hashMap_t t) =
+ hashMap_move_elements_from_list_loop t ntable ls
+
+(** [hashmap::{hashmap::HashMap<T>}::move_elements]: loop 0: merged forward/backward function
+ (there is a single backward function, and the forward function returns ())
+ Source: 'src/hashmap.rs', lines 171:4-180:5 *)
+let rec hashMap_move_elements_loop
+ (t : Type0) (ntable : hashMap_t t) (slots : alloc_vec_Vec (list_t t))
+ (i : usize) :
+ Tot (result ((hashMap_t t) & (alloc_vec_Vec (list_t t))))
+ (decreases (hashMap_move_elements_loop_decreases t ntable slots i))
+ =
+ let i1 = alloc_vec_Vec_len (list_t t) slots in
+ if i < i1
+ then
+ let* l =
+ alloc_vec_Vec_index_mut (list_t t) usize
+ (core_slice_index_SliceIndexUsizeSliceTInst (list_t t)) slots i in
+ let ls = core_mem_replace (list_t t) l List_Nil in
+ let* ntable1 = hashMap_move_elements_from_list t ntable ls in
+ let* i2 = usize_add i 1 in
+ let l1 = core_mem_replace_back (list_t t) l List_Nil in
+ let* slots1 =
+ alloc_vec_Vec_index_mut_back (list_t t) usize
+ (core_slice_index_SliceIndexUsizeSliceTInst (list_t t)) slots i l1 in
+ hashMap_move_elements_loop t ntable1 slots1 i2
+ else Return (ntable, slots)
+
+(** [hashmap::{hashmap::HashMap<T>}::move_elements]: merged forward/backward function
+ (there is a single backward function, and the forward function returns ())
+ Source: 'src/hashmap.rs', lines 171:4-171:95 *)
+let hashMap_move_elements
+ (t : Type0) (ntable : hashMap_t t) (slots : alloc_vec_Vec (list_t t))
+ (i : usize) :
+ result ((hashMap_t t) & (alloc_vec_Vec (list_t t)))
+ =
+ hashMap_move_elements_loop t ntable slots i
+
+(** [hashmap::{hashmap::HashMap<T>}::try_resize]: merged forward/backward function
+ (there is a single backward function, and the forward function returns ())
+ Source: 'src/hashmap.rs', lines 140:4-140:28 *)
+let hashMap_try_resize
+ (t : Type0) (self : hashMap_t t) : result (hashMap_t t) =
+ let* max_usize = scalar_cast U32 Usize core_u32_max in
+ let capacity = alloc_vec_Vec_len (list_t t) self.slots in
+ let* n1 = usize_div max_usize 2 in
+ let (i, i1) = self.max_load_factor in
+ let* i2 = usize_div n1 i in
+ if capacity <= i2
+ then
+ let* i3 = usize_mul capacity 2 in
+ let* ntable = hashMap_new_with_capacity t i3 i i1 in
+ let* (ntable1, _) = hashMap_move_elements t ntable self.slots 0 in
+ Return
+ { ntable1 with num_entries = self.num_entries; max_load_factor = (i, i1)
+ }
+ else Return { self with max_load_factor = (i, i1) }
+
+(** [hashmap::{hashmap::HashMap<T>}::insert]: merged forward/backward function
+ (there is a single backward function, and the forward function returns ())
+ Source: 'src/hashmap.rs', lines 129:4-129:48 *)
+let hashMap_insert
+ (t : Type0) (self : hashMap_t t) (key : usize) (value : t) :
+ result (hashMap_t t)
+ =
+ let* self1 = hashMap_insert_no_resize t self key value in
+ let* i = hashMap_len t self1 in
+ if i > self1.max_load then hashMap_try_resize t self1 else Return self1
+
+(** [hashmap::{hashmap::HashMap<T>}::contains_key_in_list]: loop 0: forward function
+ Source: 'src/hashmap.rs', lines 206:4-219:5 *)
+let rec hashMap_contains_key_in_list_loop
+ (t : Type0) (key : usize) (ls : list_t t) :
+ Tot (result bool)
+ (decreases (hashMap_contains_key_in_list_loop_decreases t key ls))
+ =
+ begin match ls with
+ | List_Cons ckey _ tl ->
+ if ckey = key
+ then Return true
+ else hashMap_contains_key_in_list_loop t key tl
+ | List_Nil -> Return false
+ end
+
+(** [hashmap::{hashmap::HashMap<T>}::contains_key_in_list]: forward function
+ Source: 'src/hashmap.rs', lines 206:4-206:68 *)
+let hashMap_contains_key_in_list
+ (t : Type0) (key : usize) (ls : list_t t) : result bool =
+ hashMap_contains_key_in_list_loop t key ls
+
+(** [hashmap::{hashmap::HashMap<T>}::contains_key]: forward function
+ Source: 'src/hashmap.rs', lines 199:4-199:49 *)
+let hashMap_contains_key
+ (t : Type0) (self : hashMap_t t) (key : usize) : result bool =
+ let* hash = hash_key key in
+ let i = alloc_vec_Vec_len (list_t t) self.slots in
+ let* hash_mod = usize_rem hash i in
+ let* l =
+ alloc_vec_Vec_index (list_t t) usize
+ (core_slice_index_SliceIndexUsizeSliceTInst (list_t t)) self.slots
+ hash_mod in
+ hashMap_contains_key_in_list t key l
+
+(** [hashmap::{hashmap::HashMap<T>}::get_in_list]: loop 0: forward function
+ Source: 'src/hashmap.rs', lines 224:4-237:5 *)
+let rec hashMap_get_in_list_loop
+ (t : Type0) (key : usize) (ls : list_t t) :
+ Tot (result t) (decreases (hashMap_get_in_list_loop_decreases t key ls))
+ =
+ begin match ls with
+ | List_Cons ckey cvalue tl ->
+ if ckey = key then Return cvalue else hashMap_get_in_list_loop t key tl
+ | List_Nil -> Fail Failure
+ end
+
+(** [hashmap::{hashmap::HashMap<T>}::get_in_list]: forward function
+ Source: 'src/hashmap.rs', lines 224:4-224:70 *)
+let hashMap_get_in_list (t : Type0) (key : usize) (ls : list_t t) : result t =
+ hashMap_get_in_list_loop t key ls
+
+(** [hashmap::{hashmap::HashMap<T>}::get]: forward function
+ Source: 'src/hashmap.rs', lines 239:4-239:55 *)
+let hashMap_get (t : Type0) (self : hashMap_t t) (key : usize) : result t =
+ let* hash = hash_key key in
+ let i = alloc_vec_Vec_len (list_t t) self.slots in
+ let* hash_mod = usize_rem hash i in
+ let* l =
+ alloc_vec_Vec_index (list_t t) usize
+ (core_slice_index_SliceIndexUsizeSliceTInst (list_t t)) self.slots
+ hash_mod in
+ hashMap_get_in_list t key l
+
+(** [hashmap::{hashmap::HashMap<T>}::get_mut_in_list]: loop 0: forward function
+ Source: 'src/hashmap.rs', lines 245:4-254:5 *)
+let rec hashMap_get_mut_in_list_loop
+ (t : Type0) (ls : list_t t) (key : usize) :
+ Tot (result t) (decreases (hashMap_get_mut_in_list_loop_decreases t ls key))
+ =
+ begin match ls with
+ | List_Cons ckey cvalue tl ->
+ if ckey = key then Return cvalue else hashMap_get_mut_in_list_loop t tl key
+ | List_Nil -> Fail Failure
+ end
+
+(** [hashmap::{hashmap::HashMap<T>}::get_mut_in_list]: forward function
+ Source: 'src/hashmap.rs', lines 245:4-245:86 *)
+let hashMap_get_mut_in_list
+ (t : Type0) (ls : list_t t) (key : usize) : result t =
+ hashMap_get_mut_in_list_loop t ls key
+
+(** [hashmap::{hashmap::HashMap<T>}::get_mut_in_list]: loop 0: backward function 0
+ Source: 'src/hashmap.rs', lines 245:4-254:5 *)
+let rec hashMap_get_mut_in_list_loop_back
+ (t : Type0) (ls : list_t t) (key : usize) (ret : t) :
+ Tot (result (list_t t))
+ (decreases (hashMap_get_mut_in_list_loop_decreases t ls key))
+ =
+ begin match ls with
+ | List_Cons ckey cvalue tl ->
+ if ckey = key
+ then Return (List_Cons ckey ret tl)
+ else
+ let* tl1 = hashMap_get_mut_in_list_loop_back t tl key ret in
+ Return (List_Cons ckey cvalue tl1)
+ | List_Nil -> Fail Failure
+ end
+
+(** [hashmap::{hashmap::HashMap<T>}::get_mut_in_list]: backward function 0
+ Source: 'src/hashmap.rs', lines 245:4-245:86 *)
+let hashMap_get_mut_in_list_back
+ (t : Type0) (ls : list_t t) (key : usize) (ret : t) : result (list_t t) =
+ hashMap_get_mut_in_list_loop_back t ls key ret
+
+(** [hashmap::{hashmap::HashMap<T>}::get_mut]: forward function
+ Source: 'src/hashmap.rs', lines 257:4-257:67 *)
+let hashMap_get_mut (t : Type0) (self : hashMap_t t) (key : usize) : result t =
+ let* hash = hash_key key in
+ let i = alloc_vec_Vec_len (list_t t) self.slots in
+ let* hash_mod = usize_rem hash i in
+ let* l =
+ alloc_vec_Vec_index_mut (list_t t) usize
+ (core_slice_index_SliceIndexUsizeSliceTInst (list_t t)) self.slots
+ hash_mod in
+ hashMap_get_mut_in_list t l key
+
+(** [hashmap::{hashmap::HashMap<T>}::get_mut]: backward function 0
+ Source: 'src/hashmap.rs', lines 257:4-257:67 *)
+let hashMap_get_mut_back
+ (t : Type0) (self : hashMap_t t) (key : usize) (ret : t) :
+ result (hashMap_t t)
+ =
+ let* hash = hash_key key in
+ let i = alloc_vec_Vec_len (list_t t) self.slots in
+ let* hash_mod = usize_rem hash i in
+ let* l =
+ alloc_vec_Vec_index_mut (list_t t) usize
+ (core_slice_index_SliceIndexUsizeSliceTInst (list_t t)) self.slots
+ hash_mod in
+ let* l1 = hashMap_get_mut_in_list_back t l key ret in
+ let* v =
+ alloc_vec_Vec_index_mut_back (list_t t) usize
+ (core_slice_index_SliceIndexUsizeSliceTInst (list_t t)) self.slots
+ hash_mod l1 in
+ Return { self with slots = v }
+
+(** [hashmap::{hashmap::HashMap<T>}::remove_from_list]: loop 0: forward function
+ Source: 'src/hashmap.rs', lines 265:4-291:5 *)
+let rec hashMap_remove_from_list_loop
+ (t : Type0) (key : usize) (ls : list_t t) :
+ Tot (result (option t))
+ (decreases (hashMap_remove_from_list_loop_decreases t key ls))
+ =
+ begin match ls with
+ | List_Cons ckey x tl ->
+ if ckey = key
+ then
+ let mv_ls = core_mem_replace (list_t t) (List_Cons ckey x tl) List_Nil in
+ begin match mv_ls with
+ | List_Cons _ cvalue _ -> Return (Some cvalue)
+ | List_Nil -> Fail Failure
+ end
+ else hashMap_remove_from_list_loop t key tl
+ | List_Nil -> Return None
+ end
+
+(** [hashmap::{hashmap::HashMap<T>}::remove_from_list]: forward function
+ Source: 'src/hashmap.rs', lines 265:4-265:69 *)
+let hashMap_remove_from_list
+ (t : Type0) (key : usize) (ls : list_t t) : result (option t) =
+ hashMap_remove_from_list_loop t key ls
+
+(** [hashmap::{hashmap::HashMap<T>}::remove_from_list]: loop 0: backward function 1
+ Source: 'src/hashmap.rs', lines 265:4-291:5 *)
+let rec hashMap_remove_from_list_loop_back
+ (t : Type0) (key : usize) (ls : list_t t) :
+ Tot (result (list_t t))
+ (decreases (hashMap_remove_from_list_loop_decreases t key ls))
+ =
+ begin match ls with
+ | List_Cons ckey x tl ->
+ if ckey = key
+ then
+ let mv_ls = core_mem_replace (list_t t) (List_Cons ckey x tl) List_Nil in
+ begin match mv_ls with
+ | List_Cons _ _ tl1 -> Return tl1
+ | List_Nil -> Fail Failure
+ end
+ else
+ let* tl1 = hashMap_remove_from_list_loop_back t key tl in
+ Return (List_Cons ckey x tl1)
+ | List_Nil -> Return List_Nil
+ end
+
+(** [hashmap::{hashmap::HashMap<T>}::remove_from_list]: backward function 1
+ Source: 'src/hashmap.rs', lines 265:4-265:69 *)
+let hashMap_remove_from_list_back
+ (t : Type0) (key : usize) (ls : list_t t) : result (list_t t) =
+ hashMap_remove_from_list_loop_back t key ls
+
+(** [hashmap::{hashmap::HashMap<T>}::remove]: forward function
+ Source: 'src/hashmap.rs', lines 294:4-294:52 *)
+let hashMap_remove
+ (t : Type0) (self : hashMap_t t) (key : usize) : result (option t) =
+ let* hash = hash_key key in
+ let i = alloc_vec_Vec_len (list_t t) self.slots in
+ let* hash_mod = usize_rem hash i in
+ let* l =
+ alloc_vec_Vec_index_mut (list_t t) usize
+ (core_slice_index_SliceIndexUsizeSliceTInst (list_t t)) self.slots
+ hash_mod in
+ let* x = hashMap_remove_from_list t key l in
+ begin match x with
+ | None -> Return None
+ | Some x1 -> let* _ = usize_sub self.num_entries 1 in Return (Some x1)
+ end
+
+(** [hashmap::{hashmap::HashMap<T>}::remove]: backward function 0
+ Source: 'src/hashmap.rs', lines 294:4-294:52 *)
+let hashMap_remove_back
+ (t : Type0) (self : hashMap_t t) (key : usize) : result (hashMap_t t) =
+ let* hash = hash_key key in
+ let i = alloc_vec_Vec_len (list_t t) self.slots in
+ let* hash_mod = usize_rem hash i in
+ let* l =
+ alloc_vec_Vec_index_mut (list_t t) usize
+ (core_slice_index_SliceIndexUsizeSliceTInst (list_t t)) self.slots
+ hash_mod in
+ let* x = hashMap_remove_from_list t key l in
+ begin match x with
+ | None ->
+ let* l1 = hashMap_remove_from_list_back t key l in
+ let* v =
+ alloc_vec_Vec_index_mut_back (list_t t) usize
+ (core_slice_index_SliceIndexUsizeSliceTInst (list_t t)) self.slots
+ hash_mod l1 in
+ Return { self with slots = v }
+ | Some _ ->
+ let* i1 = usize_sub self.num_entries 1 in
+ let* l1 = hashMap_remove_from_list_back t key l in
+ let* v =
+ alloc_vec_Vec_index_mut_back (list_t t) usize
+ (core_slice_index_SliceIndexUsizeSliceTInst (list_t t)) self.slots
+ hash_mod l1 in
+ Return { self with num_entries = i1; slots = v }
+ end
+
+(** [hashmap::test1]: forward function
+ Source: 'src/hashmap.rs', lines 315:0-315:10 *)
+let test1 : result unit =
+ let* hm = hashMap_new u64 in
+ let* hm1 = hashMap_insert u64 hm 0 42 in
+ let* hm2 = hashMap_insert u64 hm1 128 18 in
+ let* hm3 = hashMap_insert u64 hm2 1024 138 in
+ let* hm4 = hashMap_insert u64 hm3 1056 256 in
+ let* i = hashMap_get u64 hm4 128 in
+ if not (i = 18)
+ then Fail Failure
+ else
+ let* hm5 = hashMap_get_mut_back u64 hm4 1024 56 in
+ let* i1 = hashMap_get u64 hm5 1024 in
+ if not (i1 = 56)
+ then Fail Failure
+ else
+ let* x = hashMap_remove u64 hm5 1024 in
+ begin match x with
+ | None -> Fail Failure
+ | Some x1 ->
+ if not (x1 = 56)
+ then Fail Failure
+ else
+ let* hm6 = hashMap_remove_back u64 hm5 1024 in
+ let* i2 = hashMap_get u64 hm6 0 in
+ if not (i2 = 42)
+ then Fail Failure
+ else
+ let* i3 = hashMap_get u64 hm6 128 in
+ if not (i3 = 18)
+ then Fail Failure
+ else
+ let* i4 = hashMap_get u64 hm6 1056 in
+ if not (i4 = 256) then Fail Failure else Return ()
+ end
+