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|
(** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *)
(** [hashmap_main]: function definitions *)
module HashmapMain.Funs
open Primitives
include HashmapMain.Types
include HashmapMain.Opaque
include HashmapMain.Clauses
#set-options "--z3rlimit 50 --fuel 1 --ifuel 1"
(** [hashmap_main::hashmap::hash_key]: forward function *)
let hashmap_hash_key_fwd (k : usize) : result usize =
Return k
(** [hashmap_main::hashmap::HashMap::{0}::allocate_slots]: loop 0: forward function *)
let rec hashmap_hash_map_allocate_slots_loop_fwd
(t : Type0) (slots : vec (hashmap_list_t t)) (n : usize) :
Tot (result (vec (hashmap_list_t t)))
(decreases (hashmap_hash_map_allocate_slots_loop_decreases t slots n))
=
if n > 0
then
let* slots0 = vec_push_back (hashmap_list_t t) slots HashmapListNil in
let* n0 = usize_sub n 1 in
hashmap_hash_map_allocate_slots_loop_fwd t slots0 n0
else Return slots
(** [hashmap_main::hashmap::HashMap::{0}::allocate_slots]: forward function *)
let hashmap_hash_map_allocate_slots_fwd
(t : Type0) (slots : vec (hashmap_list_t t)) (n : usize) :
result (vec (hashmap_list_t t))
=
hashmap_hash_map_allocate_slots_loop_fwd t slots n
(** [hashmap_main::hashmap::HashMap::{0}::new_with_capacity]: forward function *)
let hashmap_hash_map_new_with_capacity_fwd
(t : Type0) (capacity : usize) (max_load_dividend : usize)
(max_load_divisor : usize) :
result (hashmap_hash_map_t t)
=
let v = vec_new (hashmap_list_t t) in
let* slots = hashmap_hash_map_allocate_slots_fwd t v capacity in
let* i = usize_mul capacity max_load_dividend in
let* i0 = usize_div i max_load_divisor in
Return
{
hashmap_hash_map_num_entries = 0;
hashmap_hash_map_max_load_factor = (max_load_dividend, max_load_divisor);
hashmap_hash_map_max_load = i0;
hashmap_hash_map_slots = slots
}
(** [hashmap_main::hashmap::HashMap::{0}::new]: forward function *)
let hashmap_hash_map_new_fwd (t : Type0) : result (hashmap_hash_map_t t) =
hashmap_hash_map_new_with_capacity_fwd t 32 4 5
(** [hashmap_main::hashmap::HashMap::{0}::clear]: loop 0: merged forward/backward function
(there is a single backward function, and the forward function returns ()) *)
let rec hashmap_hash_map_clear_loop_fwd_back
(t : Type0) (slots : vec (hashmap_list_t t)) (i : usize) :
Tot (result (vec (hashmap_list_t t)))
(decreases (hashmap_hash_map_clear_loop_decreases t slots i))
=
let i0 = vec_len (hashmap_list_t t) slots in
if i < i0
then
let* i1 = usize_add i 1 in
let* slots0 = vec_index_mut_back (hashmap_list_t t) slots i HashmapListNil
in
hashmap_hash_map_clear_loop_fwd_back t slots0 i1
else Return slots
(** [hashmap_main::hashmap::HashMap::{0}::clear]: merged forward/backward function
(there is a single backward function, and the forward function returns ()) *)
let hashmap_hash_map_clear_fwd_back
(t : Type0) (self : hashmap_hash_map_t t) : result (hashmap_hash_map_t t) =
let* v = hashmap_hash_map_clear_loop_fwd_back t self.hashmap_hash_map_slots 0
in
Return
{ self with hashmap_hash_map_num_entries = 0; hashmap_hash_map_slots = v }
(** [hashmap_main::hashmap::HashMap::{0}::len]: forward function *)
let hashmap_hash_map_len_fwd
(t : Type0) (self : hashmap_hash_map_t t) : result usize =
Return self.hashmap_hash_map_num_entries
(** [hashmap_main::hashmap::HashMap::{0}::insert_in_list]: loop 0: forward function *)
let rec hashmap_hash_map_insert_in_list_loop_fwd
(t : Type0) (key : usize) (value : t) (ls : hashmap_list_t t) :
Tot (result bool)
(decreases (hashmap_hash_map_insert_in_list_loop_decreases t key value ls))
=
begin match ls with
| HashmapListCons ckey cvalue tl ->
if ckey = key
then Return false
else hashmap_hash_map_insert_in_list_loop_fwd t key value tl
| HashmapListNil -> Return true
end
(** [hashmap_main::hashmap::HashMap::{0}::insert_in_list]: forward function *)
let hashmap_hash_map_insert_in_list_fwd
(t : Type0) (key : usize) (value : t) (ls : hashmap_list_t t) : result bool =
hashmap_hash_map_insert_in_list_loop_fwd t key value ls
(** [hashmap_main::hashmap::HashMap::{0}::insert_in_list]: loop 0: backward function 0 *)
let rec hashmap_hash_map_insert_in_list_loop_back
(t : Type0) (key : usize) (value : t) (ls : hashmap_list_t t) :
Tot (result (hashmap_list_t t))
(decreases (hashmap_hash_map_insert_in_list_loop_decreases t key value ls))
=
begin match ls with
| HashmapListCons ckey cvalue tl ->
if ckey = key
then Return (HashmapListCons ckey value tl)
else
let* tl0 = hashmap_hash_map_insert_in_list_loop_back t key value tl in
Return (HashmapListCons ckey cvalue tl0)
| HashmapListNil ->
let l = HashmapListNil in Return (HashmapListCons key value l)
end
(** [hashmap_main::hashmap::HashMap::{0}::insert_in_list]: backward function 0 *)
let hashmap_hash_map_insert_in_list_back
(t : Type0) (key : usize) (value : t) (ls : hashmap_list_t t) :
result (hashmap_list_t t)
=
hashmap_hash_map_insert_in_list_loop_back t key value ls
(** [hashmap_main::hashmap::HashMap::{0}::insert_no_resize]: merged forward/backward function
(there is a single backward function, and the forward function returns ()) *)
let hashmap_hash_map_insert_no_resize_fwd_back
(t : Type0) (self : hashmap_hash_map_t t) (key : usize) (value : t) :
result (hashmap_hash_map_t t)
=
let* hash = hashmap_hash_key_fwd key in
let i = vec_len (hashmap_list_t t) self.hashmap_hash_map_slots in
let* hash_mod = usize_rem hash i in
let* l =
vec_index_mut_fwd (hashmap_list_t t) self.hashmap_hash_map_slots hash_mod
in
let* inserted = hashmap_hash_map_insert_in_list_fwd t key value l in
if inserted
then
let* i0 = usize_add self.hashmap_hash_map_num_entries 1 in
let* l0 = hashmap_hash_map_insert_in_list_back t key value l in
let* v =
vec_index_mut_back (hashmap_list_t t) self.hashmap_hash_map_slots
hash_mod l0 in
Return
{ self with hashmap_hash_map_num_entries = i0; hashmap_hash_map_slots = v
}
else
let* l0 = hashmap_hash_map_insert_in_list_back t key value l in
let* v =
vec_index_mut_back (hashmap_list_t t) self.hashmap_hash_map_slots
hash_mod l0 in
Return { self with hashmap_hash_map_slots = v }
(** [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_main::hashmap::HashMap::{0}::move_elements_from_list]: loop 0: merged forward/backward function
(there is a single backward function, and the forward function returns ()) *)
let rec hashmap_hash_map_move_elements_from_list_loop_fwd_back
(t : Type0) (ntable : hashmap_hash_map_t t) (ls : hashmap_list_t t) :
Tot (result (hashmap_hash_map_t t))
(decreases (
hashmap_hash_map_move_elements_from_list_loop_decreases t ntable ls))
=
begin match ls with
| HashmapListCons k v tl ->
let* ntable0 = hashmap_hash_map_insert_no_resize_fwd_back t ntable k v in
hashmap_hash_map_move_elements_from_list_loop_fwd_back t ntable0 tl
| HashmapListNil -> Return ntable
end
(** [hashmap_main::hashmap::HashMap::{0}::move_elements_from_list]: merged forward/backward function
(there is a single backward function, and the forward function returns ()) *)
let hashmap_hash_map_move_elements_from_list_fwd_back
(t : Type0) (ntable : hashmap_hash_map_t t) (ls : hashmap_list_t t) :
result (hashmap_hash_map_t t)
=
hashmap_hash_map_move_elements_from_list_loop_fwd_back t ntable ls
(** [hashmap_main::hashmap::HashMap::{0}::move_elements]: loop 0: merged forward/backward function
(there is a single backward function, and the forward function returns ()) *)
let rec hashmap_hash_map_move_elements_loop_fwd_back
(t : Type0) (ntable : hashmap_hash_map_t t) (slots : vec (hashmap_list_t t))
(i : usize) :
Tot (result ((hashmap_hash_map_t t) & (vec (hashmap_list_t t))))
(decreases (hashmap_hash_map_move_elements_loop_decreases t ntable slots i))
=
let i0 = vec_len (hashmap_list_t t) slots in
if i < i0
then
let* l = vec_index_mut_fwd (hashmap_list_t t) slots i in
let ls = mem_replace_fwd (hashmap_list_t t) l HashmapListNil in
let* ntable0 =
hashmap_hash_map_move_elements_from_list_fwd_back t ntable ls in
let* i1 = usize_add i 1 in
let l0 = mem_replace_back (hashmap_list_t t) l HashmapListNil in
let* slots0 = vec_index_mut_back (hashmap_list_t t) slots i l0 in
hashmap_hash_map_move_elements_loop_fwd_back t ntable0 slots0 i1
else Return (ntable, slots)
(** [hashmap_main::hashmap::HashMap::{0}::move_elements]: merged forward/backward function
(there is a single backward function, and the forward function returns ()) *)
let hashmap_hash_map_move_elements_fwd_back
(t : Type0) (ntable : hashmap_hash_map_t t) (slots : vec (hashmap_list_t t))
(i : usize) :
result ((hashmap_hash_map_t t) & (vec (hashmap_list_t t)))
=
hashmap_hash_map_move_elements_loop_fwd_back t ntable slots i
(** [hashmap_main::hashmap::HashMap::{0}::try_resize]: merged forward/backward function
(there is a single backward function, and the forward function returns ()) *)
let hashmap_hash_map_try_resize_fwd_back
(t : Type0) (self : hashmap_hash_map_t t) : result (hashmap_hash_map_t t) =
let* max_usize = scalar_cast U32 Usize core_num_u32_max_c in
let capacity = vec_len (hashmap_list_t t) self.hashmap_hash_map_slots in
let* n1 = usize_div max_usize 2 in
let (i, i0) = self.hashmap_hash_map_max_load_factor in
let* i1 = usize_div n1 i in
if capacity <= i1
then
let* i2 = usize_mul capacity 2 in
let* ntable = hashmap_hash_map_new_with_capacity_fwd t i2 i i0 in
let* (ntable0, _) =
hashmap_hash_map_move_elements_fwd_back t ntable
self.hashmap_hash_map_slots 0 in
Return
{
ntable0
with
hashmap_hash_map_num_entries = self.hashmap_hash_map_num_entries;
hashmap_hash_map_max_load_factor = (i, i0)
}
else Return { self with hashmap_hash_map_max_load_factor = (i, i0) }
(** [hashmap_main::hashmap::HashMap::{0}::insert]: merged forward/backward function
(there is a single backward function, and the forward function returns ()) *)
let hashmap_hash_map_insert_fwd_back
(t : Type0) (self : hashmap_hash_map_t t) (key : usize) (value : t) :
result (hashmap_hash_map_t t)
=
let* self0 = hashmap_hash_map_insert_no_resize_fwd_back t self key value in
let* i = hashmap_hash_map_len_fwd t self0 in
if i > self0.hashmap_hash_map_max_load
then hashmap_hash_map_try_resize_fwd_back t self0
else Return self0
(** [hashmap_main::hashmap::HashMap::{0}::contains_key_in_list]: loop 0: forward function *)
let rec hashmap_hash_map_contains_key_in_list_loop_fwd
(t : Type0) (key : usize) (ls : hashmap_list_t t) :
Tot (result bool)
(decreases (hashmap_hash_map_contains_key_in_list_loop_decreases t key ls))
=
begin match ls with
| HashmapListCons ckey x tl ->
if ckey = key
then Return true
else hashmap_hash_map_contains_key_in_list_loop_fwd t key tl
| HashmapListNil -> Return false
end
(** [hashmap_main::hashmap::HashMap::{0}::contains_key_in_list]: forward function *)
let hashmap_hash_map_contains_key_in_list_fwd
(t : Type0) (key : usize) (ls : hashmap_list_t t) : result bool =
hashmap_hash_map_contains_key_in_list_loop_fwd t key ls
(** [hashmap_main::hashmap::HashMap::{0}::contains_key]: forward function *)
let hashmap_hash_map_contains_key_fwd
(t : Type0) (self : hashmap_hash_map_t t) (key : usize) : result bool =
let* hash = hashmap_hash_key_fwd key in
let i = vec_len (hashmap_list_t t) self.hashmap_hash_map_slots in
let* hash_mod = usize_rem hash i in
let* l =
vec_index_fwd (hashmap_list_t t) self.hashmap_hash_map_slots hash_mod in
hashmap_hash_map_contains_key_in_list_fwd t key l
(** [hashmap_main::hashmap::HashMap::{0}::get_in_list]: loop 0: forward function *)
let rec hashmap_hash_map_get_in_list_loop_fwd
(t : Type0) (key : usize) (ls : hashmap_list_t t) :
Tot (result t)
(decreases (hashmap_hash_map_get_in_list_loop_decreases t key ls))
=
begin match ls with
| HashmapListCons ckey cvalue tl ->
if ckey = key
then Return cvalue
else hashmap_hash_map_get_in_list_loop_fwd t key tl
| HashmapListNil -> Fail Failure
end
(** [hashmap_main::hashmap::HashMap::{0}::get_in_list]: forward function *)
let hashmap_hash_map_get_in_list_fwd
(t : Type0) (key : usize) (ls : hashmap_list_t t) : result t =
hashmap_hash_map_get_in_list_loop_fwd t key ls
(** [hashmap_main::hashmap::HashMap::{0}::get]: forward function *)
let hashmap_hash_map_get_fwd
(t : Type0) (self : hashmap_hash_map_t t) (key : usize) : result t =
let* hash = hashmap_hash_key_fwd key in
let i = vec_len (hashmap_list_t t) self.hashmap_hash_map_slots in
let* hash_mod = usize_rem hash i in
let* l =
vec_index_fwd (hashmap_list_t t) self.hashmap_hash_map_slots hash_mod in
hashmap_hash_map_get_in_list_fwd t key l
(** [hashmap_main::hashmap::HashMap::{0}::get_mut_in_list]: loop 0: forward function *)
let rec hashmap_hash_map_get_mut_in_list_loop_fwd
(t : Type0) (ls : hashmap_list_t t) (key : usize) :
Tot (result t)
(decreases (hashmap_hash_map_get_mut_in_list_loop_decreases t ls key))
=
begin match ls with
| HashmapListCons ckey cvalue tl ->
if ckey = key
then Return cvalue
else hashmap_hash_map_get_mut_in_list_loop_fwd t tl key
| HashmapListNil -> Fail Failure
end
(** [hashmap_main::hashmap::HashMap::{0}::get_mut_in_list]: forward function *)
let hashmap_hash_map_get_mut_in_list_fwd
(t : Type0) (ls : hashmap_list_t t) (key : usize) : result t =
hashmap_hash_map_get_mut_in_list_loop_fwd t ls key
(** [hashmap_main::hashmap::HashMap::{0}::get_mut_in_list]: loop 0: backward function 0 *)
let rec hashmap_hash_map_get_mut_in_list_loop_back
(t : Type0) (ls : hashmap_list_t t) (key : usize) (ret : t) :
Tot (result (hashmap_list_t t))
(decreases (hashmap_hash_map_get_mut_in_list_loop_decreases t ls key))
=
begin match ls with
| HashmapListCons ckey cvalue tl ->
if ckey = key
then Return (HashmapListCons ckey ret tl)
else
let* tl0 = hashmap_hash_map_get_mut_in_list_loop_back t tl key ret in
Return (HashmapListCons ckey cvalue tl0)
| HashmapListNil -> Fail Failure
end
(** [hashmap_main::hashmap::HashMap::{0}::get_mut_in_list]: backward function 0 *)
let hashmap_hash_map_get_mut_in_list_back
(t : Type0) (ls : hashmap_list_t t) (key : usize) (ret : t) :
result (hashmap_list_t t)
=
hashmap_hash_map_get_mut_in_list_loop_back t ls key ret
(** [hashmap_main::hashmap::HashMap::{0}::get_mut]: forward function *)
let hashmap_hash_map_get_mut_fwd
(t : Type0) (self : hashmap_hash_map_t t) (key : usize) : result t =
let* hash = hashmap_hash_key_fwd key in
let i = vec_len (hashmap_list_t t) self.hashmap_hash_map_slots in
let* hash_mod = usize_rem hash i in
let* l =
vec_index_mut_fwd (hashmap_list_t t) self.hashmap_hash_map_slots hash_mod
in
hashmap_hash_map_get_mut_in_list_fwd t l key
(** [hashmap_main::hashmap::HashMap::{0}::get_mut]: backward function 0 *)
let hashmap_hash_map_get_mut_back
(t : Type0) (self : hashmap_hash_map_t t) (key : usize) (ret : t) :
result (hashmap_hash_map_t t)
=
let* hash = hashmap_hash_key_fwd key in
let i = vec_len (hashmap_list_t t) self.hashmap_hash_map_slots in
let* hash_mod = usize_rem hash i in
let* l =
vec_index_mut_fwd (hashmap_list_t t) self.hashmap_hash_map_slots hash_mod
in
let* l0 = hashmap_hash_map_get_mut_in_list_back t l key ret in
let* v =
vec_index_mut_back (hashmap_list_t t) self.hashmap_hash_map_slots hash_mod
l0 in
Return { self with hashmap_hash_map_slots = v }
(** [hashmap_main::hashmap::HashMap::{0}::remove_from_list]: loop 0: forward function *)
let rec hashmap_hash_map_remove_from_list_loop_fwd
(t : Type0) (key : usize) (ls : hashmap_list_t t) :
Tot (result (option t))
(decreases (hashmap_hash_map_remove_from_list_loop_decreases t key ls))
=
begin match ls with
| HashmapListCons ckey x tl ->
if ckey = key
then
let mv_ls =
mem_replace_fwd (hashmap_list_t t) (HashmapListCons ckey x tl)
HashmapListNil in
begin match mv_ls with
| HashmapListCons i cvalue tl0 -> Return (Some cvalue)
| HashmapListNil -> Fail Failure
end
else hashmap_hash_map_remove_from_list_loop_fwd t key tl
| HashmapListNil -> Return None
end
(** [hashmap_main::hashmap::HashMap::{0}::remove_from_list]: forward function *)
let hashmap_hash_map_remove_from_list_fwd
(t : Type0) (key : usize) (ls : hashmap_list_t t) : result (option t) =
hashmap_hash_map_remove_from_list_loop_fwd t key ls
(** [hashmap_main::hashmap::HashMap::{0}::remove_from_list]: loop 0: backward function 1 *)
let rec hashmap_hash_map_remove_from_list_loop_back
(t : Type0) (key : usize) (ls : hashmap_list_t t) :
Tot (result (hashmap_list_t t))
(decreases (hashmap_hash_map_remove_from_list_loop_decreases t key ls))
=
begin match ls with
| HashmapListCons ckey x tl ->
if ckey = key
then
let mv_ls =
mem_replace_fwd (hashmap_list_t t) (HashmapListCons ckey x tl)
HashmapListNil in
begin match mv_ls with
| HashmapListCons i cvalue tl0 -> Return tl0
| HashmapListNil -> Fail Failure
end
else
let* tl0 = hashmap_hash_map_remove_from_list_loop_back t key tl in
Return (HashmapListCons ckey x tl0)
| HashmapListNil -> Return HashmapListNil
end
(** [hashmap_main::hashmap::HashMap::{0}::remove_from_list]: backward function 1 *)
let hashmap_hash_map_remove_from_list_back
(t : Type0) (key : usize) (ls : hashmap_list_t t) :
result (hashmap_list_t t)
=
hashmap_hash_map_remove_from_list_loop_back t key ls
(** [hashmap_main::hashmap::HashMap::{0}::remove]: forward function *)
let hashmap_hash_map_remove_fwd
(t : Type0) (self : hashmap_hash_map_t t) (key : usize) : result (option t) =
let* hash = hashmap_hash_key_fwd key in
let i = vec_len (hashmap_list_t t) self.hashmap_hash_map_slots in
let* hash_mod = usize_rem hash i in
let* l =
vec_index_mut_fwd (hashmap_list_t t) self.hashmap_hash_map_slots hash_mod
in
let* x = hashmap_hash_map_remove_from_list_fwd t key l in
begin match x with
| None -> Return None
| Some x0 ->
let* _ = usize_sub self.hashmap_hash_map_num_entries 1 in Return (Some x0)
end
(** [hashmap_main::hashmap::HashMap::{0}::remove]: backward function 0 *)
let hashmap_hash_map_remove_back
(t : Type0) (self : hashmap_hash_map_t t) (key : usize) :
result (hashmap_hash_map_t t)
=
let* hash = hashmap_hash_key_fwd key in
let i = vec_len (hashmap_list_t t) self.hashmap_hash_map_slots in
let* hash_mod = usize_rem hash i in
let* l =
vec_index_mut_fwd (hashmap_list_t t) self.hashmap_hash_map_slots hash_mod
in
let* x = hashmap_hash_map_remove_from_list_fwd t key l in
begin match x with
| None ->
let* l0 = hashmap_hash_map_remove_from_list_back t key l in
let* v =
vec_index_mut_back (hashmap_list_t t) self.hashmap_hash_map_slots
hash_mod l0 in
Return { self with hashmap_hash_map_slots = v }
| Some x0 ->
let* i0 = usize_sub self.hashmap_hash_map_num_entries 1 in
let* l0 = hashmap_hash_map_remove_from_list_back t key l in
let* v =
vec_index_mut_back (hashmap_list_t t) self.hashmap_hash_map_slots
hash_mod l0 in
Return
{ self with hashmap_hash_map_num_entries = i0; hashmap_hash_map_slots = v
}
end
(** [hashmap_main::hashmap::test1]: forward function *)
let hashmap_test1_fwd : result unit =
let* hm = hashmap_hash_map_new_fwd u64 in
let* hm0 = hashmap_hash_map_insert_fwd_back u64 hm 0 42 in
let* hm1 = hashmap_hash_map_insert_fwd_back u64 hm0 128 18 in
let* hm2 = hashmap_hash_map_insert_fwd_back u64 hm1 1024 138 in
let* hm3 = hashmap_hash_map_insert_fwd_back u64 hm2 1056 256 in
let* i = hashmap_hash_map_get_fwd u64 hm3 128 in
if not (i = 18)
then Fail Failure
else
let* hm4 = hashmap_hash_map_get_mut_back u64 hm3 1024 56 in
let* i0 = hashmap_hash_map_get_fwd u64 hm4 1024 in
if not (i0 = 56)
then Fail Failure
else
let* x = hashmap_hash_map_remove_fwd u64 hm4 1024 in
begin match x with
| None -> Fail Failure
| Some x0 ->
if not (x0 = 56)
then Fail Failure
else
let* hm5 = hashmap_hash_map_remove_back u64 hm4 1024 in
let* i1 = hashmap_hash_map_get_fwd u64 hm5 0 in
if not (i1 = 42)
then Fail Failure
else
let* i2 = hashmap_hash_map_get_fwd u64 hm5 128 in
if not (i2 = 18)
then Fail Failure
else
let* i3 = hashmap_hash_map_get_fwd u64 hm5 1056 in
if not (i3 = 256) then Fail Failure else Return ()
end
(** Unit test for [hashmap_main::hashmap::test1] *)
let _ = assert_norm (hashmap_test1_fwd = Return ())
(** [hashmap_main::insert_on_disk]: forward function *)
let insert_on_disk_fwd
(key : usize) (value : u64) (st : state) : result (state & unit) =
let* (st0, hm) = hashmap_utils_deserialize_fwd st in
let* hm0 = hashmap_hash_map_insert_fwd_back u64 hm key value in
let* (st1, _) = hashmap_utils_serialize_fwd hm0 st0 in
Return (st1, ())
(** [hashmap_main::main]: forward function *)
let main_fwd : result unit =
Return ()
(** Unit test for [hashmap_main::main] *)
let _ = assert_norm (main_fwd = Return ())
|