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+(** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *)
+(** [hashmap]: function definitions *)
+open primitivesLib divDefLib
+open hashmap_TypesTheory
+
+val _ = new_theory "hashmap_Funs"
+
+
+val hash_key_fwd_def = Define ‘
+ (** [hashmap::hash_key] *)
+ hash_key_fwd (k : usize) : usize result =
+ Return k
+’
+
+val [hash_map_allocate_slots_loop_fwd_def] = DefineDiv ‘
+ (** [hashmap::HashMap::{0}::allocate_slots] *)
+ hash_map_allocate_slots_loop_fwd
+ (slots : 't list_t vec) (n : usize) : 't list_t vec result =
+ if usize_gt n (int_to_usize 0)
+ then (
+ do
+ slots0 <- vec_push_back slots ListNil;
+ n0 <- usize_sub n (int_to_usize 1);
+ hash_map_allocate_slots_loop_fwd slots0 n0
+ od)
+ else Return slots
+’
+
+val hash_map_allocate_slots_fwd_def = Define ‘
+ (** [hashmap::HashMap::{0}::allocate_slots] *)
+ hash_map_allocate_slots_fwd
+ (slots : 't list_t vec) (n : usize) : 't list_t vec result =
+ hash_map_allocate_slots_loop_fwd slots n
+’
+
+val hash_map_new_with_capacity_fwd_def = Define ‘
+ (** [hashmap::HashMap::{0}::new_with_capacity] *)
+ hash_map_new_with_capacity_fwd
+ (capacity : usize) (max_load_dividend : usize) (max_load_divisor : usize) :
+ 't hash_map_t result
+ =
+ let v = vec_new in
+ do
+ slots <- hash_map_allocate_slots_fwd v capacity;
+ i <- usize_mul capacity max_load_dividend;
+ i0 <- usize_div i max_load_divisor;
+ Return
+ (<|
+ hash_map_num_entries := (int_to_usize 0);
+ hash_map_max_load_factor := (max_load_dividend, max_load_divisor);
+ hash_map_max_load := i0;
+ hash_map_slots := slots
+ |>)
+ od
+’
+
+val hash_map_new_fwd_def = Define ‘
+ (** [hashmap::HashMap::{0}::new] *)
+ hash_map_new_fwd : 't hash_map_t result =
+ hash_map_new_with_capacity_fwd (int_to_usize 32) (int_to_usize 4)
+ (int_to_usize 5)
+’
+
+val [hash_map_clear_loop_fwd_back_def] = DefineDiv ‘
+ (** [hashmap::HashMap::{0}::clear] *)
+ hash_map_clear_loop_fwd_back
+ (slots : 't list_t vec) (i : usize) : 't list_t vec result =
+ let i0 = vec_len slots in
+ if usize_lt i i0
+ then (
+ do
+ i1 <- usize_add i (int_to_usize 1);
+ slots0 <- vec_index_mut_back slots i ListNil;
+ hash_map_clear_loop_fwd_back slots0 i1
+ od)
+ else Return slots
+’
+
+val hash_map_clear_fwd_back_def = Define ‘
+ (** [hashmap::HashMap::{0}::clear] *)
+ hash_map_clear_fwd_back (self : 't hash_map_t) : 't hash_map_t result =
+ do
+ v <- hash_map_clear_loop_fwd_back self.hash_map_slots (int_to_usize 0);
+ Return
+ (self
+ with
+ <|
+ hash_map_num_entries := (int_to_usize 0); hash_map_slots := v
+ |>)
+ od
+’
+
+val hash_map_len_fwd_def = Define ‘
+ (** [hashmap::HashMap::{0}::len] *)
+ hash_map_len_fwd (self : 't hash_map_t) : usize result =
+ Return self.hash_map_num_entries
+’
+
+val [hash_map_insert_in_list_loop_fwd_def] = DefineDiv ‘
+ (** [hashmap::HashMap::{0}::insert_in_list] *)
+ hash_map_insert_in_list_loop_fwd
+ (key : usize) (value : 't) (ls : 't list_t) : bool result =
+ (case ls of
+ | ListCons ckey cvalue tl =>
+ if ckey = key
+ then Return F
+ else hash_map_insert_in_list_loop_fwd key value tl
+ | ListNil => Return T)
+’
+
+val hash_map_insert_in_list_fwd_def = Define ‘
+ (** [hashmap::HashMap::{0}::insert_in_list] *)
+ hash_map_insert_in_list_fwd
+ (key : usize) (value : 't) (ls : 't list_t) : bool result =
+ hash_map_insert_in_list_loop_fwd key value ls
+’
+
+val [hash_map_insert_in_list_loop_back_def] = DefineDiv ‘
+ (** [hashmap::HashMap::{0}::insert_in_list] *)
+ hash_map_insert_in_list_loop_back
+ (key : usize) (value : 't) (ls : 't list_t) : 't list_t result =
+ (case ls of
+ | ListCons ckey cvalue tl =>
+ if ckey = key
+ then Return (ListCons ckey value tl)
+ else (
+ do
+ tl0 <- hash_map_insert_in_list_loop_back key value tl;
+ Return (ListCons ckey cvalue tl0)
+ od)
+ | ListNil => let l = ListNil in Return (ListCons key value l))
+’
+
+val hash_map_insert_in_list_back_def = Define ‘
+ (** [hashmap::HashMap::{0}::insert_in_list] *)
+ hash_map_insert_in_list_back
+ (key : usize) (value : 't) (ls : 't list_t) : 't list_t result =
+ hash_map_insert_in_list_loop_back key value ls
+’
+
+val hash_map_insert_no_resize_fwd_back_def = Define ‘
+ (** [hashmap::HashMap::{0}::insert_no_resize] *)
+ hash_map_insert_no_resize_fwd_back
+ (self : 't hash_map_t) (key : usize) (value : 't) : 't hash_map_t result =
+ do
+ hash <- hash_key_fwd key;
+ let i = vec_len self.hash_map_slots in
+ do
+ hash_mod <- usize_rem hash i;
+ l <- vec_index_mut_fwd self.hash_map_slots hash_mod;
+ inserted <- hash_map_insert_in_list_fwd key value l;
+ if inserted
+ then (
+ do
+ i0 <- usize_add self.hash_map_num_entries (int_to_usize 1);
+ l0 <- hash_map_insert_in_list_back key value l;
+ v <- vec_index_mut_back self.hash_map_slots hash_mod l0;
+ Return (self with <| hash_map_num_entries := i0; hash_map_slots := v |>)
+ od)
+ else (
+ do
+ l0 <- hash_map_insert_in_list_back key value l;
+ v <- vec_index_mut_back self.hash_map_slots hash_mod l0;
+ Return (self with <| hash_map_slots := v |>)
+ od)
+ od
+ od
+’
+
+(** [core::num::u32::{9}::MAX] *)
+Definition core_num_u32_max_body_def:
+ core_num_u32_max_body : u32 result = Return (int_to_u32 4294967295)
+End
+Definition core_num_u32_max_c_def:
+ core_num_u32_max_c : u32 = get_return_value core_num_u32_max_body
+End
+
+val [hash_map_move_elements_from_list_loop_fwd_back_def] = DefineDiv ‘
+ (** [hashmap::HashMap::{0}::move_elements_from_list] *)
+ hash_map_move_elements_from_list_loop_fwd_back
+ (ntable : 't hash_map_t) (ls : 't list_t) : 't hash_map_t result =
+ (case ls of
+ | ListCons k v tl =>
+ do
+ ntable0 <- hash_map_insert_no_resize_fwd_back ntable k v;
+ hash_map_move_elements_from_list_loop_fwd_back ntable0 tl
+ od
+ | ListNil => Return ntable)
+’
+
+val hash_map_move_elements_from_list_fwd_back_def = Define ‘
+ (** [hashmap::HashMap::{0}::move_elements_from_list] *)
+ hash_map_move_elements_from_list_fwd_back
+ (ntable : 't hash_map_t) (ls : 't list_t) : 't hash_map_t result =
+ hash_map_move_elements_from_list_loop_fwd_back ntable ls
+’
+
+val [hash_map_move_elements_loop_fwd_back_def] = DefineDiv ‘
+ (** [hashmap::HashMap::{0}::move_elements] *)
+ hash_map_move_elements_loop_fwd_back
+ (ntable : 't hash_map_t) (slots : 't list_t vec) (i : usize) :
+ ('t hash_map_t # 't list_t vec) result
+ =
+ let i0 = vec_len slots in
+ if usize_lt i i0
+ then (
+ do
+ l <- vec_index_mut_fwd slots i;
+ let ls = mem_replace_fwd l ListNil in
+ do
+ ntable0 <- hash_map_move_elements_from_list_fwd_back ntable ls;
+ i1 <- usize_add i (int_to_usize 1);
+ let l0 = mem_replace_back l ListNil in
+ do
+ slots0 <- vec_index_mut_back slots i l0;
+ hash_map_move_elements_loop_fwd_back ntable0 slots0 i1
+ od
+ od
+ od)
+ else Return (ntable, slots)
+’
+
+val hash_map_move_elements_fwd_back_def = Define ‘
+ (** [hashmap::HashMap::{0}::move_elements] *)
+ hash_map_move_elements_fwd_back
+ (ntable : 't hash_map_t) (slots : 't list_t vec) (i : usize) :
+ ('t hash_map_t # 't list_t vec) result
+ =
+ hash_map_move_elements_loop_fwd_back ntable slots i
+’
+
+val hash_map_try_resize_fwd_back_def = Define ‘
+ (** [hashmap::HashMap::{0}::try_resize] *)
+ hash_map_try_resize_fwd_back (self : 't hash_map_t) : 't hash_map_t result =
+ do
+ max_usize <- mk_usize (u32_to_int core_num_u32_max_c);
+ let capacity = vec_len self.hash_map_slots in
+ do
+ n1 <- usize_div max_usize (int_to_usize 2);
+ let (i, i0) = self.hash_map_max_load_factor in
+ do
+ i1 <- usize_div n1 i;
+ if usize_le capacity i1
+ then (
+ do
+ i2 <- usize_mul capacity (int_to_usize 2);
+ ntable <- hash_map_new_with_capacity_fwd i2 i i0;
+ (ntable0, _) <-
+ hash_map_move_elements_fwd_back ntable self.hash_map_slots
+ (int_to_usize 0);
+ Return
+ (ntable0
+ with
+ <|
+ hash_map_num_entries := self.hash_map_num_entries;
+ hash_map_max_load_factor := (i, i0)
+ |>)
+ od)
+ else Return (self with <| hash_map_max_load_factor := (i, i0) |>)
+ od
+ od
+ od
+’
+
+val hash_map_insert_fwd_back_def = Define ‘
+ (** [hashmap::HashMap::{0}::insert] *)
+ hash_map_insert_fwd_back
+ (self : 't hash_map_t) (key : usize) (value : 't) : 't hash_map_t result =
+ do
+ self0 <- hash_map_insert_no_resize_fwd_back self key value;
+ i <- hash_map_len_fwd self0;
+ if usize_gt i self0.hash_map_max_load
+ then hash_map_try_resize_fwd_back self0
+ else Return self0
+ od
+’
+
+val [hash_map_contains_key_in_list_loop_fwd_def] = DefineDiv ‘
+ (** [hashmap::HashMap::{0}::contains_key_in_list] *)
+ hash_map_contains_key_in_list_loop_fwd
+ (key : usize) (ls : 't list_t) : bool result =
+ (case ls of
+ | ListCons ckey t tl =>
+ if ckey = key
+ then Return T
+ else hash_map_contains_key_in_list_loop_fwd key tl
+ | ListNil => Return F)
+’
+
+val hash_map_contains_key_in_list_fwd_def = Define ‘
+ (** [hashmap::HashMap::{0}::contains_key_in_list] *)
+ hash_map_contains_key_in_list_fwd
+ (key : usize) (ls : 't list_t) : bool result =
+ hash_map_contains_key_in_list_loop_fwd key ls
+’
+
+val hash_map_contains_key_fwd_def = Define ‘
+ (** [hashmap::HashMap::{0}::contains_key] *)
+ hash_map_contains_key_fwd
+ (self : 't hash_map_t) (key : usize) : bool result =
+ do
+ hash <- hash_key_fwd key;
+ let i = vec_len self.hash_map_slots in
+ do
+ hash_mod <- usize_rem hash i;
+ l <- vec_index_fwd self.hash_map_slots hash_mod;
+ hash_map_contains_key_in_list_fwd key l
+ od
+ od
+’
+
+val [hash_map_get_in_list_loop_fwd_def] = DefineDiv ‘
+ (** [hashmap::HashMap::{0}::get_in_list] *)
+ hash_map_get_in_list_loop_fwd (key : usize) (ls : 't list_t) : 't result =
+ (case ls of
+ | ListCons ckey cvalue tl =>
+ if ckey = key
+ then Return cvalue
+ else hash_map_get_in_list_loop_fwd key tl
+ | ListNil => Fail Failure)
+’
+
+val hash_map_get_in_list_fwd_def = Define ‘
+ (** [hashmap::HashMap::{0}::get_in_list] *)
+ hash_map_get_in_list_fwd (key : usize) (ls : 't list_t) : 't result =
+ hash_map_get_in_list_loop_fwd key ls
+’
+
+val hash_map_get_fwd_def = Define ‘
+ (** [hashmap::HashMap::{0}::get] *)
+ hash_map_get_fwd (self : 't hash_map_t) (key : usize) : 't result =
+ do
+ hash <- hash_key_fwd key;
+ let i = vec_len self.hash_map_slots in
+ do
+ hash_mod <- usize_rem hash i;
+ l <- vec_index_fwd self.hash_map_slots hash_mod;
+ hash_map_get_in_list_fwd key l
+ od
+ od
+’
+
+val [hash_map_get_mut_in_list_loop_fwd_def] = DefineDiv ‘
+ (** [hashmap::HashMap::{0}::get_mut_in_list] *)
+ hash_map_get_mut_in_list_loop_fwd
+ (ls : 't list_t) (key : usize) : 't result =
+ (case ls of
+ | ListCons ckey cvalue tl =>
+ if ckey = key
+ then Return cvalue
+ else hash_map_get_mut_in_list_loop_fwd tl key
+ | ListNil => Fail Failure)
+’
+
+val hash_map_get_mut_in_list_fwd_def = Define ‘
+ (** [hashmap::HashMap::{0}::get_mut_in_list] *)
+ hash_map_get_mut_in_list_fwd (ls : 't list_t) (key : usize) : 't result =
+ hash_map_get_mut_in_list_loop_fwd ls key
+’
+
+val [hash_map_get_mut_in_list_loop_back_def] = DefineDiv ‘
+ (** [hashmap::HashMap::{0}::get_mut_in_list] *)
+ hash_map_get_mut_in_list_loop_back
+ (ls : 't list_t) (key : usize) (ret : 't) : 't list_t result =
+ (case ls of
+ | ListCons ckey cvalue tl =>
+ if ckey = key
+ then Return (ListCons ckey ret tl)
+ else (
+ do
+ tl0 <- hash_map_get_mut_in_list_loop_back tl key ret;
+ Return (ListCons ckey cvalue tl0)
+ od)
+ | ListNil => Fail Failure)
+’
+
+val hash_map_get_mut_in_list_back_def = Define ‘
+ (** [hashmap::HashMap::{0}::get_mut_in_list] *)
+ hash_map_get_mut_in_list_back
+ (ls : 't list_t) (key : usize) (ret : 't) : 't list_t result =
+ hash_map_get_mut_in_list_loop_back ls key ret
+’
+
+val hash_map_get_mut_fwd_def = Define ‘
+ (** [hashmap::HashMap::{0}::get_mut] *)
+ hash_map_get_mut_fwd (self : 't hash_map_t) (key : usize) : 't result =
+ do
+ hash <- hash_key_fwd key;
+ let i = vec_len self.hash_map_slots in
+ do
+ hash_mod <- usize_rem hash i;
+ l <- vec_index_mut_fwd self.hash_map_slots hash_mod;
+ hash_map_get_mut_in_list_fwd l key
+ od
+ od
+’
+
+val hash_map_get_mut_back_def = Define ‘
+ (** [hashmap::HashMap::{0}::get_mut] *)
+ hash_map_get_mut_back
+ (self : 't hash_map_t) (key : usize) (ret : 't) : 't hash_map_t result =
+ do
+ hash <- hash_key_fwd key;
+ let i = vec_len self.hash_map_slots in
+ do
+ hash_mod <- usize_rem hash i;
+ l <- vec_index_mut_fwd self.hash_map_slots hash_mod;
+ l0 <- hash_map_get_mut_in_list_back l key ret;
+ v <- vec_index_mut_back self.hash_map_slots hash_mod l0;
+ Return (self with <| hash_map_slots := v |>)
+ od
+ od
+’
+
+val [hash_map_remove_from_list_loop_fwd_def] = DefineDiv ‘
+ (** [hashmap::HashMap::{0}::remove_from_list] *)
+ hash_map_remove_from_list_loop_fwd
+ (key : usize) (ls : 't list_t) : 't option result =
+ (case ls of
+ | ListCons ckey t tl =>
+ if ckey = key
+ then
+ let mv_ls = mem_replace_fwd (ListCons ckey t tl) ListNil in
+ (case mv_ls of
+ | ListCons i cvalue tl0 => Return (SOME cvalue)
+ | ListNil => Fail Failure)
+ else hash_map_remove_from_list_loop_fwd key tl
+ | ListNil => Return NONE)
+’
+
+val hash_map_remove_from_list_fwd_def = Define ‘
+ (** [hashmap::HashMap::{0}::remove_from_list] *)
+ hash_map_remove_from_list_fwd
+ (key : usize) (ls : 't list_t) : 't option result =
+ hash_map_remove_from_list_loop_fwd key ls
+’
+
+val [hash_map_remove_from_list_loop_back_def] = DefineDiv ‘
+ (** [hashmap::HashMap::{0}::remove_from_list] *)
+ hash_map_remove_from_list_loop_back
+ (key : usize) (ls : 't list_t) : 't list_t result =
+ (case ls of
+ | ListCons ckey t tl =>
+ if ckey = key
+ then
+ let mv_ls = mem_replace_fwd (ListCons ckey t tl) ListNil in
+ (case mv_ls of
+ | ListCons i cvalue tl0 => Return tl0
+ | ListNil => Fail Failure)
+ else (
+ do
+ tl0 <- hash_map_remove_from_list_loop_back key tl;
+ Return (ListCons ckey t tl0)
+ od)
+ | ListNil => Return ListNil)
+’
+
+val hash_map_remove_from_list_back_def = Define ‘
+ (** [hashmap::HashMap::{0}::remove_from_list] *)
+ hash_map_remove_from_list_back
+ (key : usize) (ls : 't list_t) : 't list_t result =
+ hash_map_remove_from_list_loop_back key ls
+’
+
+val hash_map_remove_fwd_def = Define ‘
+ (** [hashmap::HashMap::{0}::remove] *)
+ hash_map_remove_fwd (self : 't hash_map_t) (key : usize) : 't option result =
+ do
+ hash <- hash_key_fwd key;
+ let i = vec_len self.hash_map_slots in
+ do
+ hash_mod <- usize_rem hash i;
+ l <- vec_index_mut_fwd self.hash_map_slots hash_mod;
+ x <- hash_map_remove_from_list_fwd key l;
+ (case x of
+ | NONE => Return NONE
+ | SOME x0 =>
+ do
+ _ <- usize_sub self.hash_map_num_entries (int_to_usize 1);
+ Return (SOME x0)
+ od)
+ od
+ od
+’
+
+val hash_map_remove_back_def = Define ‘
+ (** [hashmap::HashMap::{0}::remove] *)
+ hash_map_remove_back
+ (self : 't hash_map_t) (key : usize) : 't hash_map_t result =
+ do
+ hash <- hash_key_fwd key;
+ let i = vec_len self.hash_map_slots in
+ do
+ hash_mod <- usize_rem hash i;
+ l <- vec_index_mut_fwd self.hash_map_slots hash_mod;
+ x <- hash_map_remove_from_list_fwd key l;
+ (case x of
+ | NONE =>
+ do
+ l0 <- hash_map_remove_from_list_back key l;
+ v <- vec_index_mut_back self.hash_map_slots hash_mod l0;
+ Return (self with <| hash_map_slots := v |>)
+ od
+ | SOME x0 =>
+ do
+ i0 <- usize_sub self.hash_map_num_entries (int_to_usize 1);
+ l0 <- hash_map_remove_from_list_back key l;
+ v <- vec_index_mut_back self.hash_map_slots hash_mod l0;
+ Return (self with <| hash_map_num_entries := i0; hash_map_slots := v |>)
+ od)
+ od
+ od
+’
+
+val test1_fwd_def = Define ‘
+ (** [hashmap::test1] *)
+ test1_fwd : unit result =
+ do
+ hm <- hash_map_new_fwd;
+ hm0 <- hash_map_insert_fwd_back hm (int_to_usize 0) (int_to_u64 42);
+ hm1 <- hash_map_insert_fwd_back hm0 (int_to_usize 128) (int_to_u64 18);
+ hm2 <- hash_map_insert_fwd_back hm1 (int_to_usize 1024) (int_to_u64 138);
+ hm3 <- hash_map_insert_fwd_back hm2 (int_to_usize 1056) (int_to_u64 256);
+ i <- hash_map_get_fwd hm3 (int_to_usize 128);
+ if ~ (i = int_to_u64 18)
+ then Fail Failure
+ else (
+ do
+ hm4 <- hash_map_get_mut_back hm3 (int_to_usize 1024) (int_to_u64 56);
+ i0 <- hash_map_get_fwd hm4 (int_to_usize 1024);
+ if ~ (i0 = int_to_u64 56)
+ then Fail Failure
+ else (
+ do
+ x <- hash_map_remove_fwd hm4 (int_to_usize 1024);
+ (case x of
+ | NONE => Fail Failure
+ | SOME x0 =>
+ if ~ (x0 = int_to_u64 56)
+ then Fail Failure
+ else (
+ do
+ hm5 <- hash_map_remove_back hm4 (int_to_usize 1024);
+ i1 <- hash_map_get_fwd hm5 (int_to_usize 0);
+ if ~ (i1 = int_to_u64 42)
+ then Fail Failure
+ else (
+ do
+ i2 <- hash_map_get_fwd hm5 (int_to_usize 128);
+ if ~ (i2 = int_to_u64 18)
+ then Fail Failure
+ else (
+ do
+ i3 <- hash_map_get_fwd hm5 (int_to_usize 1056);
+ if ~ (i3 = int_to_u64 256) then Fail Failure else Return ()
+ od)
+ od)
+ od))
+ od)
+ od)
+ od
+’
+
+(** Unit test for [hashmap::test1] *)
+val _ = assert_return (“test1_fwd”)
+
+val _ = export_theory ()