(** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *) (** [hashmap]: function definitions *) Require Import Primitives. Import Primitives. Require Import Coq.ZArith.ZArith. Require Import List. Import ListNotations. Local Open Scope Primitives_scope. Require Import Hashmap_Types. Include Hashmap_Types. Module Hashmap_Funs. (** [hashmap::hash_key]: forward function Source: 'src/hashmap.rs', lines 27:0-27:32 *) Definition hash_key (k : usize) : result usize := Return k. (** [hashmap::{hashmap::HashMap}::allocate_slots]: loop 0: forward function Source: 'src/hashmap.rs', lines 50:4-56:5 *) Fixpoint hashMap_allocate_slots_loop (T : Type) (n : nat) (slots : alloc_vec_Vec (List_t T)) (n0 : usize) : result (alloc_vec_Vec (List_t T)) := match n with | O => Fail_ OutOfFuel | S n1 => if n0 s> 0%usize then ( slots0 <- alloc_vec_Vec_push (List_t T) slots List_Nil; n2 <- usize_sub n0 1%usize; hashMap_allocate_slots_loop T n1 slots0 n2) else Return slots end . (** [hashmap::{hashmap::HashMap}::allocate_slots]: forward function Source: 'src/hashmap.rs', lines 50:4-50:76 *) Definition hashMap_allocate_slots (T : Type) (n : nat) (slots : alloc_vec_Vec (List_t T)) (n0 : usize) : result (alloc_vec_Vec (List_t T)) := hashMap_allocate_slots_loop T n slots n0 . (** [hashmap::{hashmap::HashMap}::new_with_capacity]: forward function Source: 'src/hashmap.rs', lines 59:4-63:13 *) Definition hashMap_new_with_capacity (T : Type) (n : nat) (capacity : usize) (max_load_dividend : usize) (max_load_divisor : usize) : result (HashMap_t T) := let v := alloc_vec_Vec_new (List_t T) in slots <- hashMap_allocate_slots T n v capacity; i <- usize_mul capacity max_load_dividend; i0 <- usize_div i max_load_divisor; Return {| hashMap_num_entries := 0%usize; hashMap_max_load_factor := (max_load_dividend, max_load_divisor); hashMap_max_load := i0; hashMap_slots := slots |} . (** [hashmap::{hashmap::HashMap}::new]: forward function Source: 'src/hashmap.rs', lines 75:4-75:24 *) Definition hashMap_new (T : Type) (n : nat) : result (HashMap_t T) := hashMap_new_with_capacity T n 32%usize 4%usize 5%usize . (** [hashmap::{hashmap::HashMap}::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 *) Fixpoint hashMap_clear_loop (T : Type) (n : nat) (slots : alloc_vec_Vec (List_t T)) (i : usize) : result (alloc_vec_Vec (List_t T)) := match n with | O => Fail_ OutOfFuel | S n0 => let i0 := alloc_vec_Vec_len (List_t T) slots in if i s< i0 then ( i1 <- usize_add i 1%usize; slots0 <- alloc_vec_Vec_index_mut_back (List_t T) usize (core_slice_index_SliceIndexUsizeSliceTInst (List_t T)) slots i List_Nil; hashMap_clear_loop T n0 slots0 i1) else Return slots end . (** [hashmap::{hashmap::HashMap}::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 *) Definition hashMap_clear (T : Type) (n : nat) (self : HashMap_t T) : result (HashMap_t T) := v <- hashMap_clear_loop T n self.(hashMap_slots) 0%usize; Return {| hashMap_num_entries := 0%usize; hashMap_max_load_factor := self.(hashMap_max_load_factor); hashMap_max_load := self.(hashMap_max_load); hashMap_slots := v |} . (** [hashmap::{hashmap::HashMap}::len]: forward function Source: 'src/hashmap.rs', lines 90:4-90:30 *) Definition hashMap_len (T : Type) (self : HashMap_t T) : result usize := Return self.(hashMap_num_entries) . (** [hashmap::{hashmap::HashMap}::insert_in_list]: loop 0: forward function Source: 'src/hashmap.rs', lines 97:4-114:5 *) Fixpoint hashMap_insert_in_list_loop (T : Type) (n : nat) (key : usize) (value : T) (ls : List_t T) : result bool := match n with | O => Fail_ OutOfFuel | S n0 => match ls with | List_Cons ckey cvalue tl => if ckey s= key then Return false else hashMap_insert_in_list_loop T n0 key value tl | List_Nil => Return true end end . (** [hashmap::{hashmap::HashMap}::insert_in_list]: forward function Source: 'src/hashmap.rs', lines 97:4-97:71 *) Definition hashMap_insert_in_list (T : Type) (n : nat) (key : usize) (value : T) (ls : List_t T) : result bool := hashMap_insert_in_list_loop T n key value ls . (** [hashmap::{hashmap::HashMap}::insert_in_list]: loop 0: backward function 0 Source: 'src/hashmap.rs', lines 97:4-114:5 *) Fixpoint hashMap_insert_in_list_loop_back (T : Type) (n : nat) (key : usize) (value : T) (ls : List_t T) : result (List_t T) := match n with | O => Fail_ OutOfFuel | S n0 => match ls with | List_Cons ckey cvalue tl => if ckey s= key then Return (List_Cons ckey value tl) else ( tl0 <- hashMap_insert_in_list_loop_back T n0 key value tl; Return (List_Cons ckey cvalue tl0)) | List_Nil => let l := List_Nil in Return (List_Cons key value l) end end . (** [hashmap::{hashmap::HashMap}::insert_in_list]: backward function 0 Source: 'src/hashmap.rs', lines 97:4-97:71 *) Definition hashMap_insert_in_list_back (T : Type) (n : nat) (key : usize) (value : T) (ls : List_t T) : result (List_t T) := hashMap_insert_in_list_loop_back T n key value ls . (** [hashmap::{hashmap::HashMap}::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 *) Definition hashMap_insert_no_resize (T : Type) (n : nat) (self : HashMap_t T) (key : usize) (value : T) : result (HashMap_t T) := hash <- hash_key key; let i := alloc_vec_Vec_len (List_t T) self.(hashMap_slots) in hash_mod <- usize_rem hash i; l <- alloc_vec_Vec_index_mut (List_t T) usize (core_slice_index_SliceIndexUsizeSliceTInst (List_t T)) self.(hashMap_slots) hash_mod; inserted <- hashMap_insert_in_list T n key value l; if inserted then ( i0 <- usize_add self.(hashMap_num_entries) 1%usize; l0 <- hashMap_insert_in_list_back T n key value l; v <- alloc_vec_Vec_index_mut_back (List_t T) usize (core_slice_index_SliceIndexUsizeSliceTInst (List_t T)) self.(hashMap_slots) hash_mod l0; Return {| hashMap_num_entries := i0; hashMap_max_load_factor := self.(hashMap_max_load_factor); hashMap_max_load := self.(hashMap_max_load); hashMap_slots := v |}) else ( l0 <- hashMap_insert_in_list_back T n key value l; v <- alloc_vec_Vec_index_mut_back (List_t T) usize (core_slice_index_SliceIndexUsizeSliceTInst (List_t T)) self.(hashMap_slots) hash_mod l0; Return {| hashMap_num_entries := self.(hashMap_num_entries); hashMap_max_load_factor := self.(hashMap_max_load_factor); hashMap_max_load := self.(hashMap_max_load); hashMap_slots := v |}) . (** [hashmap::{hashmap::HashMap}::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 *) Fixpoint hashMap_move_elements_from_list_loop (T : Type) (n : nat) (ntable : HashMap_t T) (ls : List_t T) : result (HashMap_t T) := match n with | O => Fail_ OutOfFuel | S n0 => match ls with | List_Cons k v tl => ntable0 <- hashMap_insert_no_resize T n0 ntable k v; hashMap_move_elements_from_list_loop T n0 ntable0 tl | List_Nil => Return ntable end end . (** [hashmap::{hashmap::HashMap}::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 *) Definition hashMap_move_elements_from_list (T : Type) (n : nat) (ntable : HashMap_t T) (ls : List_t T) : result (HashMap_t T) := hashMap_move_elements_from_list_loop T n ntable ls . (** [hashmap::{hashmap::HashMap}::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 *) Fixpoint hashMap_move_elements_loop (T : Type) (n : nat) (ntable : HashMap_t T) (slots : alloc_vec_Vec (List_t T)) (i : usize) : result ((HashMap_t T) * (alloc_vec_Vec (List_t T))) := match n with | O => Fail_ OutOfFuel | S n0 => let i0 := alloc_vec_Vec_len (List_t T) slots in if i s< i0 then ( l <- alloc_vec_Vec_index_mut (List_t T) usize (core_slice_index_SliceIndexUsizeSliceTInst (List_t T)) slots i; let ls := core_mem_replace (List_t T) l List_Nil in ntable0 <- hashMap_move_elements_from_list T n0 ntable ls; i1 <- usize_add i 1%usize; let l0 := core_mem_replace_back (List_t T) l List_Nil in slots0 <- alloc_vec_Vec_index_mut_back (List_t T) usize (core_slice_index_SliceIndexUsizeSliceTInst (List_t T)) slots i l0; hashMap_move_elements_loop T n0 ntable0 slots0 i1) else Return (ntable, slots) end . (** [hashmap::{hashmap::HashMap}::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 *) Definition hashMap_move_elements (T : Type) (n : nat) (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 n ntable slots i . (** [hashmap::{hashmap::HashMap}::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 *) Definition hashMap_try_resize (T : Type) (n : nat) (self : HashMap_t T) : result (HashMap_t T) := max_usize <- scalar_cast U32 Usize core_u32_max; let capacity := alloc_vec_Vec_len (List_t T) self.(hashMap_slots) in n1 <- usize_div max_usize 2%usize; let (i, i0) := self.(hashMap_max_load_factor) in i1 <- usize_div n1 i; if capacity s<= i1 then ( i2 <- usize_mul capacity 2%usize; ntable <- hashMap_new_with_capacity T n i2 i i0; p <- hashMap_move_elements T n ntable self.(hashMap_slots) 0%usize; let (ntable0, _) := p in Return {| hashMap_num_entries := self.(hashMap_num_entries); hashMap_max_load_factor := (i, i0); hashMap_max_load := ntable0.(hashMap_max_load); hashMap_slots := ntable0.(hashMap_slots) |}) else Return {| hashMap_num_entries := self.(hashMap_num_entries); hashMap_max_load_factor := (i, i0); hashMap_max_load := self.(hashMap_max_load); hashMap_slots := self.(hashMap_slots) |} . (** [hashmap::{hashmap::HashMap}::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 *) Definition hashMap_insert (T : Type) (n : nat) (self : HashMap_t T) (key : usize) (value : T) : result (HashMap_t T) := self0 <- hashMap_insert_no_resize T n self key value; i <- hashMap_len T self0; if i s> self0.(hashMap_max_load) then hashMap_try_resize T n self0 else Return self0 . (** [hashmap::{hashmap::HashMap}::contains_key_in_list]: loop 0: forward function Source: 'src/hashmap.rs', lines 206:4-219:5 *) Fixpoint hashMap_contains_key_in_list_loop (T : Type) (n : nat) (key : usize) (ls : List_t T) : result bool := match n with | O => Fail_ OutOfFuel | S n0 => match ls with | List_Cons ckey t tl => if ckey s= key then Return true else hashMap_contains_key_in_list_loop T n0 key tl | List_Nil => Return false end end . (** [hashmap::{hashmap::HashMap}::contains_key_in_list]: forward function Source: 'src/hashmap.rs', lines 206:4-206:68 *) Definition hashMap_contains_key_in_list (T : Type) (n : nat) (key : usize) (ls : List_t T) : result bool := hashMap_contains_key_in_list_loop T n key ls . (** [hashmap::{hashmap::HashMap}::contains_key]: forward function Source: 'src/hashmap.rs', lines 199:4-199:49 *) Definition hashMap_contains_key (T : Type) (n : nat) (self : HashMap_t T) (key : usize) : result bool := hash <- hash_key key; let i := alloc_vec_Vec_len (List_t T) self.(hashMap_slots) in hash_mod <- usize_rem hash i; l <- alloc_vec_Vec_index (List_t T) usize (core_slice_index_SliceIndexUsizeSliceTInst (List_t T)) self.(hashMap_slots) hash_mod; hashMap_contains_key_in_list T n key l . (** [hashmap::{hashmap::HashMap}::get_in_list]: loop 0: forward function Source: 'src/hashmap.rs', lines 224:4-237:5 *) Fixpoint hashMap_get_in_list_loop (T : Type) (n : nat) (key : usize) (ls : List_t T) : result T := match n with | O => Fail_ OutOfFuel | S n0 => match ls with | List_Cons ckey cvalue tl => if ckey s= key then Return cvalue else hashMap_get_in_list_loop T n0 key tl | List_Nil => Fail_ Failure end end . (** [hashmap::{hashmap::HashMap}::get_in_list]: forward function Source: 'src/hashmap.rs', lines 224:4-224:70 *) Definition hashMap_get_in_list (T : Type) (n : nat) (key : usize) (ls : List_t T) : result T := hashMap_get_in_list_loop T n key ls . (** [hashmap::{hashmap::HashMap}::get]: forward function Source: 'src/hashmap.rs', lines 239:4-239:55 *) Definition hashMap_get (T : Type) (n : nat) (self : HashMap_t T) (key : usize) : result T := hash <- hash_key key; let i := alloc_vec_Vec_len (List_t T) self.(hashMap_slots) in hash_mod <- usize_rem hash i; l <- alloc_vec_Vec_index (List_t T) usize (core_slice_index_SliceIndexUsizeSliceTInst (List_t T)) self.(hashMap_slots) hash_mod; hashMap_get_in_list T n key l . (** [hashmap::{hashmap::HashMap}::get_mut_in_list]: loop 0: forward function Source: 'src/hashmap.rs', lines 245:4-254:5 *) Fixpoint hashMap_get_mut_in_list_loop (T : Type) (n : nat) (ls : List_t T) (key : usize) : result T := match n with | O => Fail_ OutOfFuel | S n0 => match ls with | List_Cons ckey cvalue tl => if ckey s= key then Return cvalue else hashMap_get_mut_in_list_loop T n0 tl key | List_Nil => Fail_ Failure end end . (** [hashmap::{hashmap::HashMap}::get_mut_in_list]: forward function Source: 'src/hashmap.rs', lines 245:4-245:86 *) Definition hashMap_get_mut_in_list (T : Type) (n : nat) (ls : List_t T) (key : usize) : result T := hashMap_get_mut_in_list_loop T n ls key . (** [hashmap::{hashmap::HashMap}::get_mut_in_list]: loop 0: backward function 0 Source: 'src/hashmap.rs', lines 245:4-254:5 *) Fixpoint hashMap_get_mut_in_list_loop_back (T : Type) (n : nat) (ls : List_t T) (key : usize) (ret : T) : result (List_t T) := match n with | O => Fail_ OutOfFuel | S n0 => match ls with | List_Cons ckey cvalue tl => if ckey s= key then Return (List_Cons ckey ret tl) else ( tl0 <- hashMap_get_mut_in_list_loop_back T n0 tl key ret; Return (List_Cons ckey cvalue tl0)) | List_Nil => Fail_ Failure end end . (** [hashmap::{hashmap::HashMap}::get_mut_in_list]: backward function 0 Source: 'src/hashmap.rs', lines 245:4-245:86 *) Definition hashMap_get_mut_in_list_back (T : Type) (n : nat) (ls : List_t T) (key : usize) (ret : T) : result (List_t T) := hashMap_get_mut_in_list_loop_back T n ls key ret . (** [hashmap::{hashmap::HashMap}::get_mut]: forward function Source: 'src/hashmap.rs', lines 257:4-257:67 *) Definition hashMap_get_mut (T : Type) (n : nat) (self : HashMap_t T) (key : usize) : result T := hash <- hash_key key; let i := alloc_vec_Vec_len (List_t T) self.(hashMap_slots) in hash_mod <- usize_rem hash i; l <- alloc_vec_Vec_index_mut (List_t T) usize (core_slice_index_SliceIndexUsizeSliceTInst (List_t T)) self.(hashMap_slots) hash_mod; hashMap_get_mut_in_list T n l key . (** [hashmap::{hashmap::HashMap}::get_mut]: backward function 0 Source: 'src/hashmap.rs', lines 257:4-257:67 *) Definition hashMap_get_mut_back (T : Type) (n : nat) (self : HashMap_t T) (key : usize) (ret : T) : result (HashMap_t T) := hash <- hash_key key; let i := alloc_vec_Vec_len (List_t T) self.(hashMap_slots) in hash_mod <- usize_rem hash i; l <- alloc_vec_Vec_index_mut (List_t T) usize (core_slice_index_SliceIndexUsizeSliceTInst (List_t T)) self.(hashMap_slots) hash_mod; l0 <- hashMap_get_mut_in_list_back T n l key ret; v <- alloc_vec_Vec_index_mut_back (List_t T) usize (core_slice_index_SliceIndexUsizeSliceTInst (List_t T)) self.(hashMap_slots) hash_mod l0; Return {| hashMap_num_entries := self.(hashMap_num_entries); hashMap_max_load_factor := self.(hashMap_max_load_factor); hashMap_max_load := self.(hashMap_max_load); hashMap_slots := v |} . (** [hashmap::{hashmap::HashMap}::remove_from_list]: loop 0: forward function Source: 'src/hashmap.rs', lines 265:4-291:5 *) Fixpoint hashMap_remove_from_list_loop (T : Type) (n : nat) (key : usize) (ls : List_t T) : result (option T) := match n with | O => Fail_ OutOfFuel | S n0 => match ls with | List_Cons ckey t tl => if ckey s= key then let mv_ls := core_mem_replace (List_t T) (List_Cons ckey t tl) List_Nil in match mv_ls with | List_Cons i cvalue tl0 => Return (Some cvalue) | List_Nil => Fail_ Failure end else hashMap_remove_from_list_loop T n0 key tl | List_Nil => Return None end end . (** [hashmap::{hashmap::HashMap}::remove_from_list]: forward function Source: 'src/hashmap.rs', lines 265:4-265:69 *) Definition hashMap_remove_from_list (T : Type) (n : nat) (key : usize) (ls : List_t T) : result (option T) := hashMap_remove_from_list_loop T n key ls . (** [hashmap::{hashmap::HashMap}::remove_from_list]: loop 0: backward function 1 Source: 'src/hashmap.rs', lines 265:4-291:5 *) Fixpoint hashMap_remove_from_list_loop_back (T : Type) (n : nat) (key : usize) (ls : List_t T) : result (List_t T) := match n with | O => Fail_ OutOfFuel | S n0 => match ls with | List_Cons ckey t tl => if ckey s= key then let mv_ls := core_mem_replace (List_t T) (List_Cons ckey t tl) List_Nil in match mv_ls with | List_Cons i cvalue tl0 => Return tl0 | List_Nil => Fail_ Failure end else ( tl0 <- hashMap_remove_from_list_loop_back T n0 key tl; Return (List_Cons ckey t tl0)) | List_Nil => Return List_Nil end end . (** [hashmap::{hashmap::HashMap}::remove_from_list]: backward function 1 Source: 'src/hashmap.rs', lines 265:4-265:69 *) Definition hashMap_remove_from_list_back (T : Type) (n : nat) (key : usize) (ls : List_t T) : result (List_t T) := hashMap_remove_from_list_loop_back T n key ls . (** [hashmap::{hashmap::HashMap}::remove]: forward function Source: 'src/hashmap.rs', lines 294:4-294:52 *) Definition hashMap_remove (T : Type) (n : nat) (self : HashMap_t T) (key : usize) : result (option T) := hash <- hash_key key; let i := alloc_vec_Vec_len (List_t T) self.(hashMap_slots) in hash_mod <- usize_rem hash i; l <- alloc_vec_Vec_index_mut (List_t T) usize (core_slice_index_SliceIndexUsizeSliceTInst (List_t T)) self.(hashMap_slots) hash_mod; x <- hashMap_remove_from_list T n key l; match x with | None => Return None | Some x0 => _ <- usize_sub self.(hashMap_num_entries) 1%usize; Return (Some x0) end . (** [hashmap::{hashmap::HashMap}::remove]: backward function 0 Source: 'src/hashmap.rs', lines 294:4-294:52 *) Definition hashMap_remove_back (T : Type) (n : nat) (self : HashMap_t T) (key : usize) : result (HashMap_t T) := hash <- hash_key key; let i := alloc_vec_Vec_len (List_t T) self.(hashMap_slots) in hash_mod <- usize_rem hash i; l <- alloc_vec_Vec_index_mut (List_t T) usize (core_slice_index_SliceIndexUsizeSliceTInst (List_t T)) self.(hashMap_slots) hash_mod; x <- hashMap_remove_from_list T n key l; match x with | None => l0 <- hashMap_remove_from_list_back T n key l; v <- alloc_vec_Vec_index_mut_back (List_t T) usize (core_slice_index_SliceIndexUsizeSliceTInst (List_t T)) self.(hashMap_slots) hash_mod l0; Return {| hashMap_num_entries := self.(hashMap_num_entries); hashMap_max_load_factor := self.(hashMap_max_load_factor); hashMap_max_load := self.(hashMap_max_load); hashMap_slots := v |} | Some x0 => i0 <- usize_sub self.(hashMap_num_entries) 1%usize; l0 <- hashMap_remove_from_list_back T n key l; v <- alloc_vec_Vec_index_mut_back (List_t T) usize (core_slice_index_SliceIndexUsizeSliceTInst (List_t T)) self.(hashMap_slots) hash_mod l0; Return {| hashMap_num_entries := i0; hashMap_max_load_factor := self.(hashMap_max_load_factor); hashMap_max_load := self.(hashMap_max_load); hashMap_slots := v |} end . (** [hashmap::test1]: forward function Source: 'src/hashmap.rs', lines 315:0-315:10 *) Definition test1 (n : nat) : result unit := hm <- hashMap_new u64 n; hm0 <- hashMap_insert u64 n hm 0%usize 42%u64; hm1 <- hashMap_insert u64 n hm0 128%usize 18%u64; hm2 <- hashMap_insert u64 n hm1 1024%usize 138%u64; hm3 <- hashMap_insert u64 n hm2 1056%usize 256%u64; i <- hashMap_get u64 n hm3 128%usize; if negb (i s= 18%u64) then Fail_ Failure else ( hm4 <- hashMap_get_mut_back u64 n hm3 1024%usize 56%u64; i0 <- hashMap_get u64 n hm4 1024%usize; if negb (i0 s= 56%u64) then Fail_ Failure else ( x <- hashMap_remove u64 n hm4 1024%usize; match x with | None => Fail_ Failure | Some x0 => if negb (x0 s= 56%u64) then Fail_ Failure else ( hm5 <- hashMap_remove_back u64 n hm4 1024%usize; i1 <- hashMap_get u64 n hm5 0%usize; if negb (i1 s= 42%u64) then Fail_ Failure else ( i2 <- hashMap_get u64 n hm5 128%usize; if negb (i2 s= 18%u64) then Fail_ Failure else ( i3 <- hashMap_get u64 n hm5 1056%usize; if negb (i3 s= 256%u64) then Fail_ Failure else Return tt))) end)) . End Hashmap_Funs.