diff options
Diffstat (limited to 'tests/fstar/hashmap_on_disk')
-rw-r--r-- | tests/fstar/hashmap_on_disk/HashmapMain.Clauses.Template.fst | 72 | ||||
-rw-r--r-- | tests/fstar/hashmap_on_disk/HashmapMain.Clauses.fst | 61 | ||||
-rw-r--r-- | tests/fstar/hashmap_on_disk/HashmapMain.Funs.fst | 446 | ||||
-rw-r--r-- | tests/fstar/hashmap_on_disk/HashmapMain.FunsExternal.fsti | 18 | ||||
-rw-r--r-- | tests/fstar/hashmap_on_disk/HashmapMain.Properties.fst | 48 | ||||
-rw-r--r-- | tests/fstar/hashmap_on_disk/HashmapMain.Types.fst | 24 | ||||
-rw-r--r-- | tests/fstar/hashmap_on_disk/HashmapMain.TypesExternal.fsti | 10 | ||||
-rw-r--r-- | tests/fstar/hashmap_on_disk/Makefile | 49 | ||||
-rw-r--r-- | tests/fstar/hashmap_on_disk/Primitives.fst | 929 |
9 files changed, 0 insertions, 1657 deletions
diff --git a/tests/fstar/hashmap_on_disk/HashmapMain.Clauses.Template.fst b/tests/fstar/hashmap_on_disk/HashmapMain.Clauses.Template.fst deleted file mode 100644 index 0715bdcb..00000000 --- a/tests/fstar/hashmap_on_disk/HashmapMain.Clauses.Template.fst +++ /dev/null @@ -1,72 +0,0 @@ -(** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *) -(** [hashmap_main]: templates for the decreases clauses *) -module HashmapMain.Clauses.Template -open Primitives -open HashmapMain.Types - -#set-options "--z3rlimit 50 --fuel 1 --ifuel 1" - -(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::allocate_slots]: decreases clause - Source: 'tests/src/hashmap.rs', lines 50:4-56:5 *) -unfold -let hashmap_HashMap_allocate_slots_loop_decreases (t : Type0) - (slots : alloc_vec_Vec (hashmap_List_t t)) (n : usize) : nat = - admit () - -(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::clear]: decreases clause - Source: 'tests/src/hashmap.rs', lines 80:4-88:5 *) -unfold -let hashmap_HashMap_clear_loop_decreases (t : Type0) - (slots : alloc_vec_Vec (hashmap_List_t t)) (i : usize) : nat = - admit () - -(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::insert_in_list]: decreases clause - Source: 'tests/src/hashmap.rs', lines 97:4-114:5 *) -unfold -let hashmap_HashMap_insert_in_list_loop_decreases (t : Type0) (key : usize) - (value : t) (ls : hashmap_List_t t) : nat = - admit () - -(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::move_elements_from_list]: decreases clause - Source: 'tests/src/hashmap.rs', lines 183:4-196:5 *) -unfold -let hashmap_HashMap_move_elements_from_list_loop_decreases (t : Type0) - (ntable : hashmap_HashMap_t t) (ls : hashmap_List_t t) : nat = - admit () - -(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::move_elements]: decreases clause - Source: 'tests/src/hashmap.rs', lines 171:4-180:5 *) -unfold -let hashmap_HashMap_move_elements_loop_decreases (t : Type0) - (ntable : hashmap_HashMap_t t) (slots : alloc_vec_Vec (hashmap_List_t t)) - (i : usize) : nat = - admit () - -(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::contains_key_in_list]: decreases clause - Source: 'tests/src/hashmap.rs', lines 206:4-219:5 *) -unfold -let hashmap_HashMap_contains_key_in_list_loop_decreases (t : Type0) - (key : usize) (ls : hashmap_List_t t) : nat = - admit () - -(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::get_in_list]: decreases clause - Source: 'tests/src/hashmap.rs', lines 224:4-237:5 *) -unfold -let hashmap_HashMap_get_in_list_loop_decreases (t : Type0) (key : usize) - (ls : hashmap_List_t t) : nat = - admit () - -(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::get_mut_in_list]: decreases clause - Source: 'tests/src/hashmap.rs', lines 245:4-254:5 *) -unfold -let hashmap_HashMap_get_mut_in_list_loop_decreases (t : Type0) - (ls : hashmap_List_t t) (key : usize) : nat = - admit () - -(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::remove_from_list]: decreases clause - Source: 'tests/src/hashmap.rs', lines 265:4-291:5 *) -unfold -let hashmap_HashMap_remove_from_list_loop_decreases (t : Type0) (key : usize) - (ls : hashmap_List_t t) : nat = - admit () - diff --git a/tests/fstar/hashmap_on_disk/HashmapMain.Clauses.fst b/tests/fstar/hashmap_on_disk/HashmapMain.Clauses.fst deleted file mode 100644 index be5a4ab1..00000000 --- a/tests/fstar/hashmap_on_disk/HashmapMain.Clauses.fst +++ /dev/null @@ -1,61 +0,0 @@ -(** [hashmap]: the decreases clauses *) -module HashmapMain.Clauses -open Primitives -open FStar.List.Tot -open HashmapMain.Types - -#set-options "--z3rlimit 50 --fuel 0 --ifuel 1" - -(** [hashmap::HashMap::allocate_slots]: decreases clause *) -unfold -let hashmap_HashMap_allocate_slots_loop_decreases (t : Type0) (slots : alloc_vec_Vec (hashmap_List_t t)) - (n : usize) : nat = n - -(** [hashmap::HashMap::clear]: decreases clause *) -unfold -let hashmap_HashMap_clear_loop_decreases (t : Type0) (slots : alloc_vec_Vec (hashmap_List_t t)) - (i : usize) : nat = - if i < length slots then length slots - i else 0 - -(** [hashmap::HashMap::insert_in_list]: decreases clause *) -unfold -let hashmap_HashMap_insert_in_list_loop_decreases (t : Type0) (key : usize) (value : t) - (ls : hashmap_List_t t) : hashmap_List_t t = - ls - -(** [hashmap::HashMap::move_elements_from_list]: decreases clause *) -unfold -let hashmap_HashMap_move_elements_from_list_loop_decreases (t : Type0) - (ntable : hashmap_HashMap_t t) (ls : hashmap_List_t t) : hashmap_List_t t = - ls - -(** [hashmap::HashMap::move_elements]: decreases clause *) -unfold -let hashmap_HashMap_move_elements_loop_decreases (t : Type0) (ntable : hashmap_HashMap_t t) - (slots : alloc_vec_Vec (hashmap_List_t t)) (i : usize) : nat = - if i < length slots then length slots - i else 0 - -(** [hashmap::HashMap::contains_key_in_list]: decreases clause *) -unfold -let hashmap_HashMap_contains_key_in_list_loop_decreases (t : Type0) (key : usize) - (ls : hashmap_List_t t) : hashmap_List_t t = - ls - -(** [hashmap::HashMap::get_in_list]: decreases clause *) -unfold -let hashmap_HashMap_get_in_list_loop_decreases (t : Type0) (key : usize) (ls : hashmap_List_t t) : - hashmap_List_t t = - ls - -(** [hashmap::HashMap::get_mut_in_list]: decreases clause *) -unfold -let hashmap_HashMap_get_mut_in_list_loop_decreases (t : Type0) - (ls : hashmap_List_t t) (key : usize) : hashmap_List_t t = - ls - -(** [hashmap::HashMap::remove_from_list]: decreases clause *) -unfold -let hashmap_HashMap_remove_from_list_loop_decreases (t : Type0) (key : usize) - (ls : hashmap_List_t t) : hashmap_List_t t = - ls - diff --git a/tests/fstar/hashmap_on_disk/HashmapMain.Funs.fst b/tests/fstar/hashmap_on_disk/HashmapMain.Funs.fst deleted file mode 100644 index 4a032207..00000000 --- a/tests/fstar/hashmap_on_disk/HashmapMain.Funs.fst +++ /dev/null @@ -1,446 +0,0 @@ -(** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *) -(** [hashmap_main]: function definitions *) -module HashmapMain.Funs -open Primitives -include HashmapMain.Types -include HashmapMain.FunsExternal -include HashmapMain.Clauses - -#set-options "--z3rlimit 50 --fuel 1 --ifuel 1" - -(** [hashmap_main::hashmap::hash_key]: - Source: 'tests/src/hashmap.rs', lines 27:0-27:32 *) -let hashmap_hash_key (k : usize) : result usize = - Ok k - -(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::allocate_slots]: loop 0: - Source: 'tests/src/hashmap.rs', lines 50:4-56:5 *) -let rec hashmap_HashMap_allocate_slots_loop - (t : Type0) (slots : alloc_vec_Vec (hashmap_List_t t)) (n : usize) : - Tot (result (alloc_vec_Vec (hashmap_List_t t))) - (decreases (hashmap_HashMap_allocate_slots_loop_decreases t slots n)) - = - if n > 0 - then - let* slots1 = alloc_vec_Vec_push (hashmap_List_t t) slots Hashmap_List_Nil - in - let* n1 = usize_sub n 1 in - hashmap_HashMap_allocate_slots_loop t slots1 n1 - else Ok slots - -(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::allocate_slots]: - Source: 'tests/src/hashmap.rs', lines 50:4-50:76 *) -let hashmap_HashMap_allocate_slots - (t : Type0) (slots : alloc_vec_Vec (hashmap_List_t t)) (n : usize) : - result (alloc_vec_Vec (hashmap_List_t t)) - = - hashmap_HashMap_allocate_slots_loop t slots n - -(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::new_with_capacity]: - Source: 'tests/src/hashmap.rs', lines 59:4-63:13 *) -let hashmap_HashMap_new_with_capacity - (t : Type0) (capacity : usize) (max_load_dividend : usize) - (max_load_divisor : usize) : - result (hashmap_HashMap_t t) - = - let* slots = - hashmap_HashMap_allocate_slots t (alloc_vec_Vec_new (hashmap_List_t t)) - capacity in - let* i = usize_mul capacity max_load_dividend in - let* i1 = usize_div i max_load_divisor in - Ok - { - num_entries = 0; - max_load_factor = (max_load_dividend, max_load_divisor); - max_load = i1; - slots = slots - } - -(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::new]: - Source: 'tests/src/hashmap.rs', lines 75:4-75:24 *) -let hashmap_HashMap_new (t : Type0) : result (hashmap_HashMap_t t) = - hashmap_HashMap_new_with_capacity t 32 4 5 - -(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::clear]: loop 0: - Source: 'tests/src/hashmap.rs', lines 80:4-88:5 *) -let rec hashmap_HashMap_clear_loop - (t : Type0) (slots : alloc_vec_Vec (hashmap_List_t t)) (i : usize) : - Tot (result (alloc_vec_Vec (hashmap_List_t t))) - (decreases (hashmap_HashMap_clear_loop_decreases t slots i)) - = - let i1 = alloc_vec_Vec_len (hashmap_List_t t) slots in - if i < i1 - then - let* (_, index_mut_back) = - alloc_vec_Vec_index_mut (hashmap_List_t t) usize - (core_slice_index_SliceIndexUsizeSliceTInst (hashmap_List_t t)) slots i - in - let* i2 = usize_add i 1 in - let* slots1 = index_mut_back Hashmap_List_Nil in - hashmap_HashMap_clear_loop t slots1 i2 - else Ok slots - -(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::clear]: - Source: 'tests/src/hashmap.rs', lines 80:4-80:27 *) -let hashmap_HashMap_clear - (t : Type0) (self : hashmap_HashMap_t t) : result (hashmap_HashMap_t t) = - let* hm = hashmap_HashMap_clear_loop t self.slots 0 in - Ok { self with num_entries = 0; slots = hm } - -(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::len]: - Source: 'tests/src/hashmap.rs', lines 90:4-90:30 *) -let hashmap_HashMap_len - (t : Type0) (self : hashmap_HashMap_t t) : result usize = - Ok self.num_entries - -(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::insert_in_list]: loop 0: - Source: 'tests/src/hashmap.rs', lines 97:4-114:5 *) -let rec hashmap_HashMap_insert_in_list_loop - (t : Type0) (key : usize) (value : t) (ls : hashmap_List_t t) : - Tot (result (bool & (hashmap_List_t t))) - (decreases (hashmap_HashMap_insert_in_list_loop_decreases t key value ls)) - = - begin match ls with - | Hashmap_List_Cons ckey cvalue tl -> - if ckey = key - then Ok (false, Hashmap_List_Cons ckey value tl) - else - let* (b, tl1) = hashmap_HashMap_insert_in_list_loop t key value tl in - Ok (b, Hashmap_List_Cons ckey cvalue tl1) - | Hashmap_List_Nil -> Ok (true, Hashmap_List_Cons key value Hashmap_List_Nil) - end - -(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::insert_in_list]: - Source: 'tests/src/hashmap.rs', lines 97:4-97:71 *) -let hashmap_HashMap_insert_in_list - (t : Type0) (key : usize) (value : t) (ls : hashmap_List_t t) : - result (bool & (hashmap_List_t t)) - = - hashmap_HashMap_insert_in_list_loop t key value ls - -(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::insert_no_resize]: - Source: 'tests/src/hashmap.rs', lines 117:4-117:54 *) -let hashmap_HashMap_insert_no_resize - (t : Type0) (self : hashmap_HashMap_t t) (key : usize) (value : t) : - result (hashmap_HashMap_t t) - = - let* hash = hashmap_hash_key key in - let i = alloc_vec_Vec_len (hashmap_List_t t) self.slots in - let* hash_mod = usize_rem hash i in - let* (l, index_mut_back) = - alloc_vec_Vec_index_mut (hashmap_List_t t) usize - (core_slice_index_SliceIndexUsizeSliceTInst (hashmap_List_t t)) - self.slots hash_mod in - let* (inserted, l1) = hashmap_HashMap_insert_in_list t key value l in - if inserted - then - let* i1 = usize_add self.num_entries 1 in - let* v = index_mut_back l1 in - Ok { self with num_entries = i1; slots = v } - else let* v = index_mut_back l1 in Ok { self with slots = v } - -(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::move_elements_from_list]: loop 0: - Source: 'tests/src/hashmap.rs', lines 183:4-196:5 *) -let rec hashmap_HashMap_move_elements_from_list_loop - (t : Type0) (ntable : hashmap_HashMap_t t) (ls : hashmap_List_t t) : - Tot (result (hashmap_HashMap_t t)) - (decreases ( - hashmap_HashMap_move_elements_from_list_loop_decreases t ntable ls)) - = - begin match ls with - | Hashmap_List_Cons k v tl -> - let* ntable1 = hashmap_HashMap_insert_no_resize t ntable k v in - hashmap_HashMap_move_elements_from_list_loop t ntable1 tl - | Hashmap_List_Nil -> Ok ntable - end - -(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::move_elements_from_list]: - Source: 'tests/src/hashmap.rs', lines 183:4-183:72 *) -let hashmap_HashMap_move_elements_from_list - (t : Type0) (ntable : hashmap_HashMap_t t) (ls : hashmap_List_t t) : - result (hashmap_HashMap_t t) - = - hashmap_HashMap_move_elements_from_list_loop t ntable ls - -(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::move_elements]: loop 0: - Source: 'tests/src/hashmap.rs', lines 171:4-180:5 *) -let rec hashmap_HashMap_move_elements_loop - (t : Type0) (ntable : hashmap_HashMap_t t) - (slots : alloc_vec_Vec (hashmap_List_t t)) (i : usize) : - Tot (result ((hashmap_HashMap_t t) & (alloc_vec_Vec (hashmap_List_t t)))) - (decreases (hashmap_HashMap_move_elements_loop_decreases t ntable slots i)) - = - let i1 = alloc_vec_Vec_len (hashmap_List_t t) slots in - if i < i1 - then - let* (l, index_mut_back) = - alloc_vec_Vec_index_mut (hashmap_List_t t) usize - (core_slice_index_SliceIndexUsizeSliceTInst (hashmap_List_t t)) slots i - in - let (ls, l1) = core_mem_replace (hashmap_List_t t) l Hashmap_List_Nil in - let* ntable1 = hashmap_HashMap_move_elements_from_list t ntable ls in - let* i2 = usize_add i 1 in - let* slots1 = index_mut_back l1 in - hashmap_HashMap_move_elements_loop t ntable1 slots1 i2 - else Ok (ntable, slots) - -(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::move_elements]: - Source: 'tests/src/hashmap.rs', lines 171:4-171:95 *) -let hashmap_HashMap_move_elements - (t : Type0) (ntable : hashmap_HashMap_t t) - (slots : alloc_vec_Vec (hashmap_List_t t)) (i : usize) : - result ((hashmap_HashMap_t t) & (alloc_vec_Vec (hashmap_List_t t))) - = - hashmap_HashMap_move_elements_loop t ntable slots i - -(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::try_resize]: - Source: 'tests/src/hashmap.rs', lines 140:4-140:28 *) -let hashmap_HashMap_try_resize - (t : Type0) (self : hashmap_HashMap_t t) : result (hashmap_HashMap_t t) = - let* max_usize = scalar_cast U32 Usize core_u32_max in - let capacity = alloc_vec_Vec_len (hashmap_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_HashMap_new_with_capacity t i3 i i1 in - let* p = hashmap_HashMap_move_elements t ntable self.slots 0 in - let (ntable1, _) = p in - Ok - { ntable1 with num_entries = self.num_entries; max_load_factor = (i, i1) - } - else Ok { self with max_load_factor = (i, i1) } - -(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::insert]: - Source: 'tests/src/hashmap.rs', lines 129:4-129:48 *) -let hashmap_HashMap_insert - (t : Type0) (self : hashmap_HashMap_t t) (key : usize) (value : t) : - result (hashmap_HashMap_t t) - = - let* self1 = hashmap_HashMap_insert_no_resize t self key value in - let* i = hashmap_HashMap_len t self1 in - if i > self1.max_load then hashmap_HashMap_try_resize t self1 else Ok self1 - -(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::contains_key_in_list]: loop 0: - Source: 'tests/src/hashmap.rs', lines 206:4-219:5 *) -let rec hashmap_HashMap_contains_key_in_list_loop - (t : Type0) (key : usize) (ls : hashmap_List_t t) : - Tot (result bool) - (decreases (hashmap_HashMap_contains_key_in_list_loop_decreases t key ls)) - = - begin match ls with - | Hashmap_List_Cons ckey _ tl -> - if ckey = key - then Ok true - else hashmap_HashMap_contains_key_in_list_loop t key tl - | Hashmap_List_Nil -> Ok false - end - -(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::contains_key_in_list]: - Source: 'tests/src/hashmap.rs', lines 206:4-206:68 *) -let hashmap_HashMap_contains_key_in_list - (t : Type0) (key : usize) (ls : hashmap_List_t t) : result bool = - hashmap_HashMap_contains_key_in_list_loop t key ls - -(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::contains_key]: - Source: 'tests/src/hashmap.rs', lines 199:4-199:49 *) -let hashmap_HashMap_contains_key - (t : Type0) (self : hashmap_HashMap_t t) (key : usize) : result bool = - let* hash = hashmap_hash_key key in - let i = alloc_vec_Vec_len (hashmap_List_t t) self.slots in - let* hash_mod = usize_rem hash i in - let* l = - alloc_vec_Vec_index (hashmap_List_t t) usize - (core_slice_index_SliceIndexUsizeSliceTInst (hashmap_List_t t)) - self.slots hash_mod in - hashmap_HashMap_contains_key_in_list t key l - -(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::get_in_list]: loop 0: - Source: 'tests/src/hashmap.rs', lines 224:4-237:5 *) -let rec hashmap_HashMap_get_in_list_loop - (t : Type0) (key : usize) (ls : hashmap_List_t t) : - Tot (result t) - (decreases (hashmap_HashMap_get_in_list_loop_decreases t key ls)) - = - begin match ls with - | Hashmap_List_Cons ckey cvalue tl -> - if ckey = key then Ok cvalue else hashmap_HashMap_get_in_list_loop t key tl - | Hashmap_List_Nil -> Fail Failure - end - -(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::get_in_list]: - Source: 'tests/src/hashmap.rs', lines 224:4-224:70 *) -let hashmap_HashMap_get_in_list - (t : Type0) (key : usize) (ls : hashmap_List_t t) : result t = - hashmap_HashMap_get_in_list_loop t key ls - -(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::get]: - Source: 'tests/src/hashmap.rs', lines 239:4-239:55 *) -let hashmap_HashMap_get - (t : Type0) (self : hashmap_HashMap_t t) (key : usize) : result t = - let* hash = hashmap_hash_key key in - let i = alloc_vec_Vec_len (hashmap_List_t t) self.slots in - let* hash_mod = usize_rem hash i in - let* l = - alloc_vec_Vec_index (hashmap_List_t t) usize - (core_slice_index_SliceIndexUsizeSliceTInst (hashmap_List_t t)) - self.slots hash_mod in - hashmap_HashMap_get_in_list t key l - -(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::get_mut_in_list]: loop 0: - Source: 'tests/src/hashmap.rs', lines 245:4-254:5 *) -let rec hashmap_HashMap_get_mut_in_list_loop - (t : Type0) (ls : hashmap_List_t t) (key : usize) : - Tot (result (t & (t -> result (hashmap_List_t t)))) - (decreases (hashmap_HashMap_get_mut_in_list_loop_decreases t ls key)) - = - begin match ls with - | Hashmap_List_Cons ckey cvalue tl -> - if ckey = key - then - let back = fun ret -> Ok (Hashmap_List_Cons ckey ret tl) in - Ok (cvalue, back) - else - let* (x, back) = hashmap_HashMap_get_mut_in_list_loop t tl key in - let back1 = - fun ret -> - let* tl1 = back ret in Ok (Hashmap_List_Cons ckey cvalue tl1) in - Ok (x, back1) - | Hashmap_List_Nil -> Fail Failure - end - -(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::get_mut_in_list]: - Source: 'tests/src/hashmap.rs', lines 245:4-245:86 *) -let hashmap_HashMap_get_mut_in_list - (t : Type0) (ls : hashmap_List_t t) (key : usize) : - result (t & (t -> result (hashmap_List_t t))) - = - hashmap_HashMap_get_mut_in_list_loop t ls key - -(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::get_mut]: - Source: 'tests/src/hashmap.rs', lines 257:4-257:67 *) -let hashmap_HashMap_get_mut - (t : Type0) (self : hashmap_HashMap_t t) (key : usize) : - result (t & (t -> result (hashmap_HashMap_t t))) - = - let* hash = hashmap_hash_key key in - let i = alloc_vec_Vec_len (hashmap_List_t t) self.slots in - let* hash_mod = usize_rem hash i in - let* (l, index_mut_back) = - alloc_vec_Vec_index_mut (hashmap_List_t t) usize - (core_slice_index_SliceIndexUsizeSliceTInst (hashmap_List_t t)) - self.slots hash_mod in - let* (x, get_mut_in_list_back) = hashmap_HashMap_get_mut_in_list t l key in - let back = - fun ret -> - let* l1 = get_mut_in_list_back ret in - let* v = index_mut_back l1 in - Ok { self with slots = v } in - Ok (x, back) - -(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::remove_from_list]: loop 0: - Source: 'tests/src/hashmap.rs', lines 265:4-291:5 *) -let rec hashmap_HashMap_remove_from_list_loop - (t : Type0) (key : usize) (ls : hashmap_List_t t) : - Tot (result ((option t) & (hashmap_List_t t))) - (decreases (hashmap_HashMap_remove_from_list_loop_decreases t key ls)) - = - begin match ls with - | Hashmap_List_Cons ckey x tl -> - if ckey = key - then - let (mv_ls, _) = - core_mem_replace (hashmap_List_t t) (Hashmap_List_Cons ckey x tl) - Hashmap_List_Nil in - begin match mv_ls with - | Hashmap_List_Cons _ cvalue tl1 -> Ok (Some cvalue, tl1) - | Hashmap_List_Nil -> Fail Failure - end - else - let* (o, tl1) = hashmap_HashMap_remove_from_list_loop t key tl in - Ok (o, Hashmap_List_Cons ckey x tl1) - | Hashmap_List_Nil -> Ok (None, Hashmap_List_Nil) - end - -(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::remove_from_list]: - Source: 'tests/src/hashmap.rs', lines 265:4-265:69 *) -let hashmap_HashMap_remove_from_list - (t : Type0) (key : usize) (ls : hashmap_List_t t) : - result ((option t) & (hashmap_List_t t)) - = - hashmap_HashMap_remove_from_list_loop t key ls - -(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::remove]: - Source: 'tests/src/hashmap.rs', lines 294:4-294:52 *) -let hashmap_HashMap_remove - (t : Type0) (self : hashmap_HashMap_t t) (key : usize) : - result ((option t) & (hashmap_HashMap_t t)) - = - let* hash = hashmap_hash_key key in - let i = alloc_vec_Vec_len (hashmap_List_t t) self.slots in - let* hash_mod = usize_rem hash i in - let* (l, index_mut_back) = - alloc_vec_Vec_index_mut (hashmap_List_t t) usize - (core_slice_index_SliceIndexUsizeSliceTInst (hashmap_List_t t)) - self.slots hash_mod in - let* (x, l1) = hashmap_HashMap_remove_from_list t key l in - begin match x with - | None -> let* v = index_mut_back l1 in Ok (None, { self with slots = v }) - | Some x1 -> - let* i1 = usize_sub self.num_entries 1 in - let* v = index_mut_back l1 in - Ok (Some x1, { self with num_entries = i1; slots = v }) - end - -(** [hashmap_main::hashmap::test1]: - Source: 'tests/src/hashmap.rs', lines 315:0-315:10 *) -let hashmap_test1 : result unit = - let* hm = hashmap_HashMap_new u64 in - let* hm1 = hashmap_HashMap_insert u64 hm 0 42 in - let* hm2 = hashmap_HashMap_insert u64 hm1 128 18 in - let* hm3 = hashmap_HashMap_insert u64 hm2 1024 138 in - let* hm4 = hashmap_HashMap_insert u64 hm3 1056 256 in - let* i = hashmap_HashMap_get u64 hm4 128 in - if not (i = 18) - then Fail Failure - else - let* (_, get_mut_back) = hashmap_HashMap_get_mut u64 hm4 1024 in - let* hm5 = get_mut_back 56 in - let* i1 = hashmap_HashMap_get u64 hm5 1024 in - if not (i1 = 56) - then Fail Failure - else - let* (x, hm6) = hashmap_HashMap_remove u64 hm5 1024 in - begin match x with - | None -> Fail Failure - | Some x1 -> - if not (x1 = 56) - then Fail Failure - else - let* i2 = hashmap_HashMap_get u64 hm6 0 in - if not (i2 = 42) - then Fail Failure - else - let* i3 = hashmap_HashMap_get u64 hm6 128 in - if not (i3 = 18) - then Fail Failure - else - let* i4 = hashmap_HashMap_get u64 hm6 1056 in - if not (i4 = 256) then Fail Failure else Ok () - end - -(** [hashmap_main::insert_on_disk]: - Source: 'tests/src/hashmap_main.rs', lines 7:0-7:43 *) -let insert_on_disk - (key : usize) (value : u64) (st : state) : result (state & unit) = - let* (st1, hm) = hashmap_utils_deserialize st in - let* hm1 = hashmap_HashMap_insert u64 hm key value in - hashmap_utils_serialize hm1 st1 - -(** [hashmap_main::main]: - Source: 'tests/src/hashmap_main.rs', lines 16:0-16:13 *) -let main : result unit = - Ok () - diff --git a/tests/fstar/hashmap_on_disk/HashmapMain.FunsExternal.fsti b/tests/fstar/hashmap_on_disk/HashmapMain.FunsExternal.fsti deleted file mode 100644 index 3afc4689..00000000 --- a/tests/fstar/hashmap_on_disk/HashmapMain.FunsExternal.fsti +++ /dev/null @@ -1,18 +0,0 @@ -(** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *) -(** [hashmap_main]: external function declarations *) -module HashmapMain.FunsExternal -open Primitives -include HashmapMain.Types - -#set-options "--z3rlimit 50 --fuel 1 --ifuel 1" - -(** [hashmap_main::hashmap_utils::deserialize]: - Source: 'tests/src/hashmap_utils.rs', lines 10:0-10:43 *) -val hashmap_utils_deserialize - : state -> result (state & (hashmap_HashMap_t u64)) - -(** [hashmap_main::hashmap_utils::serialize]: - Source: 'tests/src/hashmap_utils.rs', lines 5:0-5:42 *) -val hashmap_utils_serialize - : hashmap_HashMap_t u64 -> state -> result (state & unit) - diff --git a/tests/fstar/hashmap_on_disk/HashmapMain.Properties.fst b/tests/fstar/hashmap_on_disk/HashmapMain.Properties.fst deleted file mode 100644 index beb3dc2c..00000000 --- a/tests/fstar/hashmap_on_disk/HashmapMain.Properties.fst +++ /dev/null @@ -1,48 +0,0 @@ -(** Properties about the hashmap written on disk *) -module HashmapMain.Properties -open Primitives -open HashmapMain.Funs - -#set-options "--z3rlimit 50 --fuel 0 --ifuel 1" - -/// Below, we focus on the functions to read from disk/write to disk to showcase -/// how such reasoning which mixes opaque functions together with a state-error -/// monad can be performed. - -(*** Hypotheses *) - -/// [state_v] gives us the hash map currently stored on disk -assume -val state_v : state -> hashmap_HashMap_t u64 - -/// [serialize] updates the hash map stored on disk -assume -val serialize_lem (hm : hashmap_HashMap_t u64) (st : state) : Lemma ( - match hashmap_utils_serialize hm st with - | Fail _ -> True - | Ok (st', ()) -> state_v st' == hm) - [SMTPat (hashmap_utils_serialize hm st)] - -/// [deserialize] gives us the hash map stored on disk, without updating it -assume -val deserialize_lem (st : state) : Lemma ( - match hashmap_utils_deserialize st with - | Fail _ -> True - | Ok (st', hm) -> hm == state_v st /\ st' == st) - [SMTPat (hashmap_utils_deserialize st)] - -(*** Lemmas *) - -/// The obvious lemma about [insert_on_disk]: the updated hash map stored on disk -/// is exactly the hash map produced from inserting the binding ([key], [value]) -/// in the hash map previously stored on disk. -val insert_on_disk_lem (key : usize) (value : u64) (st : state) : Lemma ( - match insert_on_disk key value st with - | Fail _ -> True - | Ok (st', ()) -> - let hm = state_v st in - match hashmap_HashMap_insert u64 hm key value with - | Fail _ -> False - | Ok hm' -> hm' == state_v st') - -let insert_on_disk_lem key value st = () diff --git a/tests/fstar/hashmap_on_disk/HashmapMain.Types.fst b/tests/fstar/hashmap_on_disk/HashmapMain.Types.fst deleted file mode 100644 index 21d32541..00000000 --- a/tests/fstar/hashmap_on_disk/HashmapMain.Types.fst +++ /dev/null @@ -1,24 +0,0 @@ -(** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *) -(** [hashmap_main]: type definitions *) -module HashmapMain.Types -open Primitives -include HashmapMain.TypesExternal - -#set-options "--z3rlimit 50 --fuel 1 --ifuel 1" - -(** [hashmap_main::hashmap::List] - Source: 'tests/src/hashmap.rs', lines 19:0-19:16 *) -type hashmap_List_t (t : Type0) = -| Hashmap_List_Cons : usize -> t -> hashmap_List_t t -> hashmap_List_t t -| Hashmap_List_Nil : hashmap_List_t t - -(** [hashmap_main::hashmap::HashMap] - Source: 'tests/src/hashmap.rs', lines 35:0-35:21 *) -type hashmap_HashMap_t (t : Type0) = -{ - num_entries : usize; - max_load_factor : (usize & usize); - max_load : usize; - slots : alloc_vec_Vec (hashmap_List_t t); -} - diff --git a/tests/fstar/hashmap_on_disk/HashmapMain.TypesExternal.fsti b/tests/fstar/hashmap_on_disk/HashmapMain.TypesExternal.fsti deleted file mode 100644 index 75747408..00000000 --- a/tests/fstar/hashmap_on_disk/HashmapMain.TypesExternal.fsti +++ /dev/null @@ -1,10 +0,0 @@ -(** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *) -(** [hashmap_main]: external type declarations *) -module HashmapMain.TypesExternal -open Primitives - -#set-options "--z3rlimit 50 --fuel 1 --ifuel 1" - -(** The state type used in the state-error monad *) -val state : Type0 - diff --git a/tests/fstar/hashmap_on_disk/Makefile b/tests/fstar/hashmap_on_disk/Makefile deleted file mode 100644 index fa7d1f36..00000000 --- a/tests/fstar/hashmap_on_disk/Makefile +++ /dev/null @@ -1,49 +0,0 @@ -# This file was automatically generated - modify ../Makefile.template instead -INCLUDE_DIRS = . - -FSTAR_INCLUDES = $(addprefix --include ,$(INCLUDE_DIRS)) - -FSTAR_HINTS ?= --use_hints --use_hint_hashes --record_hints - -FSTAR_OPTIONS = $(FSTAR_HINTS) \ - --cache_checked_modules $(FSTAR_INCLUDES) --cmi \ - --warn_error '+241@247+285-274' \ - -FSTAR_EXE ?= fstar.exe -FSTAR_NO_FLAGS = $(FSTAR_EXE) --already_cached 'Prims FStar LowStar Steel' --odir obj --cache_dir obj - -FSTAR = $(FSTAR_NO_FLAGS) $(FSTAR_OPTIONS) - -# The F* roots are used to compute the dependency graph, and generate the .depend file -FSTAR_ROOTS ?= $(wildcard *.fst *.fsti) - -# Build all the files -all: $(addprefix obj/,$(addsuffix .checked,$(FSTAR_ROOTS))) - -# This is the right way to ensure the .depend file always gets re-built. -ifeq (,$(filter %-in,$(MAKECMDGOALS))) -ifndef NODEPEND -ifndef MAKE_RESTARTS -.depend: .FORCE - $(FSTAR_NO_FLAGS) --dep full $(notdir $(FSTAR_ROOTS)) > $@ - -.PHONY: .FORCE -.FORCE: -endif -endif - -include .depend -endif - -# For the interactive mode -%.fst-in %.fsti-in: - @echo $(FSTAR_OPTIONS) - -# Generete the .checked files in batch mode -%.checked: - $(FSTAR) $(FSTAR_OPTIONS) $< && \ - touch -c $@ - -.PHONY: clean -clean: - rm -f obj/* diff --git a/tests/fstar/hashmap_on_disk/Primitives.fst b/tests/fstar/hashmap_on_disk/Primitives.fst deleted file mode 100644 index 9951ccc3..00000000 --- a/tests/fstar/hashmap_on_disk/Primitives.fst +++ /dev/null @@ -1,929 +0,0 @@ -/// This file lists primitive and assumed functions and types -module Primitives -open FStar.Mul -open FStar.List.Tot - -#set-options "--z3rlimit 15 --fuel 0 --ifuel 1" - -(*** Utilities *) -val list_update (#a : Type0) (ls : list a) (i : nat{i < length ls}) (x : a) : - ls':list a{ - length ls' = length ls /\ - index ls' i == x - } -#push-options "--fuel 1" -let rec list_update #a ls i x = - match ls with - | x' :: ls -> if i = 0 then x :: ls else x' :: list_update ls (i-1) x -#pop-options - -(*** Result *) -type error : Type0 = -| Failure -| OutOfFuel - -type result (a : Type0) : Type0 = -| Ok : v:a -> result a -| Fail : e:error -> result a - -// Monadic return operator -unfold let return (#a : Type0) (x : a) : result a = Ok x - -// Monadic bind operator. -// Allows to use the notation: -// ``` -// let* x = y in -// ... -// ``` -unfold let (let*) (#a #b : Type0) (m: result a) - (f: (x:a) -> Pure (result b) (requires (m == Ok x)) (ensures fun _ -> True)) : - result b = - match m with - | Ok x -> f x - | Fail e -> Fail e - -// Monadic assert(...) -let massert (b:bool) : result unit = if b then Ok () else Fail Failure - -// Normalize and unwrap a successful result (used for globals). -let eval_global (#a : Type0) (x : result a{Ok? (normalize_term x)}) : a = Ok?.v x - -(*** Misc *) -type char = FStar.Char.char -type string = string - -let is_zero (n: nat) : bool = n = 0 -let decrease (n: nat{n > 0}) : nat = n - 1 - -let core_mem_replace (a : Type0) (x : a) (y : a) : a & a = (x, x) - -// We don't really use raw pointers for now -type mut_raw_ptr (t : Type0) = { v : t } -type const_raw_ptr (t : Type0) = { v : t } - -(*** Scalars *) -/// Rem.: most of the following code was partially generated - -assume val size_numbits : pos - -// TODO: we could use FStar.Int.int_t and FStar.UInt.int_t - -let isize_min : int = -9223372036854775808 // TODO: should be opaque -let isize_max : int = 9223372036854775807 // TODO: should be opaque -let i8_min : int = -128 -let i8_max : int = 127 -let i16_min : int = -32768 -let i16_max : int = 32767 -let i32_min : int = -2147483648 -let i32_max : int = 2147483647 -let i64_min : int = -9223372036854775808 -let i64_max : int = 9223372036854775807 -let i128_min : int = -170141183460469231731687303715884105728 -let i128_max : int = 170141183460469231731687303715884105727 -let usize_min : int = 0 -let usize_max : int = 4294967295 // TODO: should be opaque -let u8_min : int = 0 -let u8_max : int = 255 -let u16_min : int = 0 -let u16_max : int = 65535 -let u32_min : int = 0 -let u32_max : int = 4294967295 -let u64_min : int = 0 -let u64_max : int = 18446744073709551615 -let u128_min : int = 0 -let u128_max : int = 340282366920938463463374607431768211455 - -type scalar_ty = -| Isize -| I8 -| I16 -| I32 -| I64 -| I128 -| Usize -| U8 -| U16 -| U32 -| U64 -| U128 - -let is_unsigned = function - | Isize | I8 | I16 | I32 | I64 | I128 -> false - | Usize | U8 | U16 | U32 | U64 | U128 -> true - -let scalar_min (ty : scalar_ty) : int = - match ty with - | Isize -> isize_min - | I8 -> i8_min - | I16 -> i16_min - | I32 -> i32_min - | I64 -> i64_min - | I128 -> i128_min - | Usize -> usize_min - | U8 -> u8_min - | U16 -> u16_min - | U32 -> u32_min - | U64 -> u64_min - | U128 -> u128_min - -let scalar_max (ty : scalar_ty) : int = - match ty with - | Isize -> isize_max - | I8 -> i8_max - | I16 -> i16_max - | I32 -> i32_max - | I64 -> i64_max - | I128 -> i128_max - | Usize -> usize_max - | U8 -> u8_max - | U16 -> u16_max - | U32 -> u32_max - | U64 -> u64_max - | U128 -> u128_max - -type scalar (ty : scalar_ty) : eqtype = x:int{scalar_min ty <= x && x <= scalar_max ty} - -let mk_scalar (ty : scalar_ty) (x : int) : result (scalar ty) = - if scalar_min ty <= x && scalar_max ty >= x then Ok x else Fail Failure - -let scalar_neg (#ty : scalar_ty) (x : scalar ty) : result (scalar ty) = mk_scalar ty (-x) - -let scalar_div (#ty : scalar_ty) (x : scalar ty) (y : scalar ty) : result (scalar ty) = - if y <> 0 then mk_scalar ty (x / y) else Fail Failure - -/// The remainder operation -let int_rem (x : int) (y : int{y <> 0}) : int = - if x >= 0 then (x % y) else -(x % y) - -(* Checking consistency with Rust *) -let _ = assert_norm(int_rem 1 2 = 1) -let _ = assert_norm(int_rem (-1) 2 = -1) -let _ = assert_norm(int_rem 1 (-2) = 1) -let _ = assert_norm(int_rem (-1) (-2) = -1) - -let scalar_rem (#ty : scalar_ty) (x : scalar ty) (y : scalar ty) : result (scalar ty) = - if y <> 0 then mk_scalar ty (int_rem x y) else Fail Failure - -let scalar_add (#ty : scalar_ty) (x : scalar ty) (y : scalar ty) : result (scalar ty) = - mk_scalar ty (x + y) - -let scalar_sub (#ty : scalar_ty) (x : scalar ty) (y : scalar ty) : result (scalar ty) = - mk_scalar ty (x - y) - -let scalar_mul (#ty : scalar_ty) (x : scalar ty) (y : scalar ty) : result (scalar ty) = - mk_scalar ty (x * y) - -let scalar_xor (#ty : scalar_ty) - (x : scalar ty) (y : scalar ty) : scalar ty = - match ty with - | U8 -> FStar.UInt.logxor #8 x y - | U16 -> FStar.UInt.logxor #16 x y - | U32 -> FStar.UInt.logxor #32 x y - | U64 -> FStar.UInt.logxor #64 x y - | U128 -> FStar.UInt.logxor #128 x y - | Usize -> admit() // TODO - | I8 -> - // Encoding issues... - normalize_spec (FStar.Int.int_t 8); - normalize_spec (scalar I8); - FStar.Int.logxor #8 x y - | I16 -> - // Encoding issues... - normalize_spec (FStar.Int.int_t 16); - normalize_spec (scalar I16); - FStar.Int.logxor #16 x y - | I32 -> FStar.Int.logxor #32 x y - | I64 -> FStar.Int.logxor #64 x y - | I128 -> - // Encoding issues... - normalize_spec (FStar.Int.int_t 128); - normalize_spec (scalar I128); - FStar.Int.logxor #128 x y - | Isize -> admit() // TODO - -let scalar_or (#ty : scalar_ty) - (x : scalar ty) (y : scalar ty) : scalar ty = - match ty with - | U8 -> FStar.UInt.logor #8 x y - | U16 -> FStar.UInt.logor #16 x y - | U32 -> FStar.UInt.logor #32 x y - | U64 -> FStar.UInt.logor #64 x y - | U128 -> FStar.UInt.logor #128 x y - | Usize -> admit() // TODO - | I8 -> - // Encoding issues... - normalize_spec (FStar.Int.int_t 8); - normalize_spec (scalar I8); - FStar.Int.logor #8 x y - | I16 -> - // Encoding issues... - normalize_spec (FStar.Int.int_t 16); - normalize_spec (scalar I16); - FStar.Int.logor #16 x y - | I32 -> FStar.Int.logor #32 x y - | I64 -> FStar.Int.logor #64 x y - | I128 -> - // Encoding issues... - normalize_spec (FStar.Int.int_t 128); - normalize_spec (scalar I128); - FStar.Int.logor #128 x y - | Isize -> admit() // TODO - -let scalar_and (#ty : scalar_ty) - (x : scalar ty) (y : scalar ty) : scalar ty = - match ty with - | U8 -> FStar.UInt.logand #8 x y - | U16 -> FStar.UInt.logand #16 x y - | U32 -> FStar.UInt.logand #32 x y - | U64 -> FStar.UInt.logand #64 x y - | U128 -> FStar.UInt.logand #128 x y - | Usize -> admit() // TODO - | I8 -> - // Encoding issues... - normalize_spec (FStar.Int.int_t 8); - normalize_spec (scalar I8); - FStar.Int.logand #8 x y - | I16 -> - // Encoding issues... - normalize_spec (FStar.Int.int_t 16); - normalize_spec (scalar I16); - FStar.Int.logand #16 x y - | I32 -> FStar.Int.logand #32 x y - | I64 -> FStar.Int.logand #64 x y - | I128 -> - // Encoding issues... - normalize_spec (FStar.Int.int_t 128); - normalize_spec (scalar I128); - FStar.Int.logand #128 x y - | Isize -> admit() // TODO - -// Shift left -let scalar_shl (#ty0 #ty1 : scalar_ty) - (x : scalar ty0) (y : scalar ty1) : result (scalar ty0) = - admit() - -// Shift right -let scalar_shr (#ty0 #ty1 : scalar_ty) - (x : scalar ty0) (y : scalar ty1) : result (scalar ty0) = - admit() - -(** Cast an integer from a [src_ty] to a [tgt_ty] *) -// TODO: check the semantics of casts in Rust -let scalar_cast (src_ty : scalar_ty) (tgt_ty : scalar_ty) (x : scalar src_ty) : result (scalar tgt_ty) = - mk_scalar tgt_ty x - -// This can't fail, but for now we make all casts faillible (easier for the translation) -let scalar_cast_bool (tgt_ty : scalar_ty) (x : bool) : result (scalar tgt_ty) = - mk_scalar tgt_ty (if x then 1 else 0) - -/// The scalar types -type isize : eqtype = scalar Isize -type i8 : eqtype = scalar I8 -type i16 : eqtype = scalar I16 -type i32 : eqtype = scalar I32 -type i64 : eqtype = scalar I64 -type i128 : eqtype = scalar I128 -type usize : eqtype = scalar Usize -type u8 : eqtype = scalar U8 -type u16 : eqtype = scalar U16 -type u32 : eqtype = scalar U32 -type u64 : eqtype = scalar U64 -type u128 : eqtype = scalar U128 - - -let core_isize_min : isize = isize_min -let core_isize_max : isize = isize_max -let core_i8_min : i8 = i8_min -let core_i8_max : i8 = i8_max -let core_i16_min : i16 = i16_min -let core_i16_max : i16 = i16_max -let core_i32_min : i32 = i32_min -let core_i32_max : i32 = i32_max -let core_i64_min : i64 = i64_min -let core_i64_max : i64 = i64_max -let core_i128_min : i128 = i128_min -let core_i128_max : i128 = i128_max - -let core_usize_min : usize = usize_min -let core_usize_max : usize = usize_max -let core_u8_min : u8 = u8_min -let core_u8_max : u8 = u8_max -let core_u16_min : u16 = u16_min -let core_u16_max : u16 = u16_max -let core_u32_min : u32 = u32_min -let core_u32_max : u32 = u32_max -let core_u64_min : u64 = u64_min -let core_u64_max : u64 = u64_max -let core_u128_min : u128 = u128_min -let core_u128_max : u128 = u128_max - -/// Negation -let isize_neg = scalar_neg #Isize -let i8_neg = scalar_neg #I8 -let i16_neg = scalar_neg #I16 -let i32_neg = scalar_neg #I32 -let i64_neg = scalar_neg #I64 -let i128_neg = scalar_neg #I128 - -/// Division -let isize_div = scalar_div #Isize -let i8_div = scalar_div #I8 -let i16_div = scalar_div #I16 -let i32_div = scalar_div #I32 -let i64_div = scalar_div #I64 -let i128_div = scalar_div #I128 -let usize_div = scalar_div #Usize -let u8_div = scalar_div #U8 -let u16_div = scalar_div #U16 -let u32_div = scalar_div #U32 -let u64_div = scalar_div #U64 -let u128_div = scalar_div #U128 - -/// Remainder -let isize_rem = scalar_rem #Isize -let i8_rem = scalar_rem #I8 -let i16_rem = scalar_rem #I16 -let i32_rem = scalar_rem #I32 -let i64_rem = scalar_rem #I64 -let i128_rem = scalar_rem #I128 -let usize_rem = scalar_rem #Usize -let u8_rem = scalar_rem #U8 -let u16_rem = scalar_rem #U16 -let u32_rem = scalar_rem #U32 -let u64_rem = scalar_rem #U64 -let u128_rem = scalar_rem #U128 - -/// Addition -let isize_add = scalar_add #Isize -let i8_add = scalar_add #I8 -let i16_add = scalar_add #I16 -let i32_add = scalar_add #I32 -let i64_add = scalar_add #I64 -let i128_add = scalar_add #I128 -let usize_add = scalar_add #Usize -let u8_add = scalar_add #U8 -let u16_add = scalar_add #U16 -let u32_add = scalar_add #U32 -let u64_add = scalar_add #U64 -let u128_add = scalar_add #U128 - -/// Subtraction -let isize_sub = scalar_sub #Isize -let i8_sub = scalar_sub #I8 -let i16_sub = scalar_sub #I16 -let i32_sub = scalar_sub #I32 -let i64_sub = scalar_sub #I64 -let i128_sub = scalar_sub #I128 -let usize_sub = scalar_sub #Usize -let u8_sub = scalar_sub #U8 -let u16_sub = scalar_sub #U16 -let u32_sub = scalar_sub #U32 -let u64_sub = scalar_sub #U64 -let u128_sub = scalar_sub #U128 - -/// Multiplication -let isize_mul = scalar_mul #Isize -let i8_mul = scalar_mul #I8 -let i16_mul = scalar_mul #I16 -let i32_mul = scalar_mul #I32 -let i64_mul = scalar_mul #I64 -let i128_mul = scalar_mul #I128 -let usize_mul = scalar_mul #Usize -let u8_mul = scalar_mul #U8 -let u16_mul = scalar_mul #U16 -let u32_mul = scalar_mul #U32 -let u64_mul = scalar_mul #U64 -let u128_mul = scalar_mul #U128 - -/// Xor -let u8_xor = scalar_xor #U8 -let u16_xor = scalar_xor #U16 -let u32_xor = scalar_xor #U32 -let u64_xor = scalar_xor #U64 -let u128_xor = scalar_xor #U128 -let usize_xor = scalar_xor #Usize -let i8_xor = scalar_xor #I8 -let i16_xor = scalar_xor #I16 -let i32_xor = scalar_xor #I32 -let i64_xor = scalar_xor #I64 -let i128_xor = scalar_xor #I128 -let isize_xor = scalar_xor #Isize - -/// Or -let u8_or = scalar_or #U8 -let u16_or = scalar_or #U16 -let u32_or = scalar_or #U32 -let u64_or = scalar_or #U64 -let u128_or = scalar_or #U128 -let usize_or = scalar_or #Usize -let i8_or = scalar_or #I8 -let i16_or = scalar_or #I16 -let i32_or = scalar_or #I32 -let i64_or = scalar_or #I64 -let i128_or = scalar_or #I128 -let isize_or = scalar_or #Isize - -/// And -let u8_and = scalar_and #U8 -let u16_and = scalar_and #U16 -let u32_and = scalar_and #U32 -let u64_and = scalar_and #U64 -let u128_and = scalar_and #U128 -let usize_and = scalar_and #Usize -let i8_and = scalar_and #I8 -let i16_and = scalar_and #I16 -let i32_and = scalar_and #I32 -let i64_and = scalar_and #I64 -let i128_and = scalar_and #I128 -let isize_and = scalar_and #Isize - -/// Shift left -let u8_shl #ty = scalar_shl #U8 #ty -let u16_shl #ty = scalar_shl #U16 #ty -let u32_shl #ty = scalar_shl #U32 #ty -let u64_shl #ty = scalar_shl #U64 #ty -let u128_shl #ty = scalar_shl #U128 #ty -let usize_shl #ty = scalar_shl #Usize #ty -let i8_shl #ty = scalar_shl #I8 #ty -let i16_shl #ty = scalar_shl #I16 #ty -let i32_shl #ty = scalar_shl #I32 #ty -let i64_shl #ty = scalar_shl #I64 #ty -let i128_shl #ty = scalar_shl #I128 #ty -let isize_shl #ty = scalar_shl #Isize #ty - -/// Shift right -let u8_shr #ty = scalar_shr #U8 #ty -let u16_shr #ty = scalar_shr #U16 #ty -let u32_shr #ty = scalar_shr #U32 #ty -let u64_shr #ty = scalar_shr #U64 #ty -let u128_shr #ty = scalar_shr #U128 #ty -let usize_shr #ty = scalar_shr #Usize #ty -let i8_shr #ty = scalar_shr #I8 #ty -let i16_shr #ty = scalar_shr #I16 #ty -let i32_shr #ty = scalar_shr #I32 #ty -let i64_shr #ty = scalar_shr #I64 #ty -let i128_shr #ty = scalar_shr #I128 #ty -let isize_shr #ty = scalar_shr #Isize #ty - -(*** core *) - -/// Trait declaration: [core::clone::Clone] -noeq type core_clone_Clone (self : Type0) = { - clone : self → result self -} - -let core_clone_impls_CloneBool_clone (b : bool) : bool = b - -let core_clone_CloneBool : core_clone_Clone bool = { - clone = fun b -> Ok (core_clone_impls_CloneBool_clone b) -} - -let core_clone_impls_CloneUsize_clone (x : usize) : usize = x -let core_clone_impls_CloneU8_clone (x : u8) : u8 = x -let core_clone_impls_CloneU16_clone (x : u16) : u16 = x -let core_clone_impls_CloneU32_clone (x : u32) : u32 = x -let core_clone_impls_CloneU64_clone (x : u64) : u64 = x -let core_clone_impls_CloneU128_clone (x : u128) : u128 = x - -let core_clone_impls_CloneIsize_clone (x : isize) : isize = x -let core_clone_impls_CloneI8_clone (x : i8) : i8 = x -let core_clone_impls_CloneI16_clone (x : i16) : i16 = x -let core_clone_impls_CloneI32_clone (x : i32) : i32 = x -let core_clone_impls_CloneI64_clone (x : i64) : i64 = x -let core_clone_impls_CloneI128_clone (x : i128) : i128 = x - -let core_clone_CloneUsize : core_clone_Clone usize = { - clone = fun x -> Ok (core_clone_impls_CloneUsize_clone x) -} - -let core_clone_CloneU8 : core_clone_Clone u8 = { - clone = fun x -> Ok (core_clone_impls_CloneU8_clone x) -} - -let core_clone_CloneU16 : core_clone_Clone u16 = { - clone = fun x -> Ok (core_clone_impls_CloneU16_clone x) -} - -let core_clone_CloneU32 : core_clone_Clone u32 = { - clone = fun x -> Ok (core_clone_impls_CloneU32_clone x) -} - -let core_clone_CloneU64 : core_clone_Clone u64 = { - clone = fun x -> Ok (core_clone_impls_CloneU64_clone x) -} - -let core_clone_CloneU128 : core_clone_Clone u128 = { - clone = fun x -> Ok (core_clone_impls_CloneU128_clone x) -} - -let core_clone_CloneIsize : core_clone_Clone isize = { - clone = fun x -> Ok (core_clone_impls_CloneIsize_clone x) -} - -let core_clone_CloneI8 : core_clone_Clone i8 = { - clone = fun x -> Ok (core_clone_impls_CloneI8_clone x) -} - -let core_clone_CloneI16 : core_clone_Clone i16 = { - clone = fun x -> Ok (core_clone_impls_CloneI16_clone x) -} - -let core_clone_CloneI32 : core_clone_Clone i32 = { - clone = fun x -> Ok (core_clone_impls_CloneI32_clone x) -} - -let core_clone_CloneI64 : core_clone_Clone i64 = { - clone = fun x -> Ok (core_clone_impls_CloneI64_clone x) -} - -let core_clone_CloneI128 : core_clone_Clone i128 = { - clone = fun x -> Ok (core_clone_impls_CloneI128_clone x) -} - -(** [core::option::{core::option::Option<T>}::unwrap] *) -let core_option_Option_unwrap (t : Type0) (x : option t) : result t = - match x with - | None -> Fail Failure - | Some x -> Ok x - -(*** core::ops *) - -// Trait declaration: [core::ops::index::Index] -noeq type core_ops_index_Index (self idx : Type0) = { - output : Type0; - index : self → idx → result output -} - -// Trait declaration: [core::ops::index::IndexMut] -noeq type core_ops_index_IndexMut (self idx : Type0) = { - indexInst : core_ops_index_Index self idx; - index_mut : self → idx → result (indexInst.output & (indexInst.output → result self)); -} - -// Trait declaration [core::ops::deref::Deref] -noeq type core_ops_deref_Deref (self : Type0) = { - target : Type0; - deref : self → result target; -} - -// Trait declaration [core::ops::deref::DerefMut] -noeq type core_ops_deref_DerefMut (self : Type0) = { - derefInst : core_ops_deref_Deref self; - deref_mut : self → result (derefInst.target & (derefInst.target → result self)); -} - -type core_ops_range_Range (a : Type0) = { - start : a; - end_ : a; -} - -(*** [alloc] *) - -let alloc_boxed_Box_deref (t : Type0) (x : t) : result t = Ok x -let alloc_boxed_Box_deref_mut (t : Type0) (x : t) : result (t & (t -> result t)) = - Ok (x, (fun x -> Ok x)) - -// Trait instance -let alloc_boxed_Box_coreopsDerefInst (self : Type0) : core_ops_deref_Deref self = { - target = self; - deref = alloc_boxed_Box_deref self; -} - -// Trait instance -let alloc_boxed_Box_coreopsDerefMutInst (self : Type0) : core_ops_deref_DerefMut self = { - derefInst = alloc_boxed_Box_coreopsDerefInst self; - deref_mut = alloc_boxed_Box_deref_mut self; -} - -(*** Array *) -type array (a : Type0) (n : usize) = s:list a{length s = n} - -// We tried putting the normalize_term condition as a refinement on the list -// but it didn't work. It works with the requires clause. -let mk_array (a : Type0) (n : usize) - (l : list a) : - Pure (array a n) - (requires (normalize_term(FStar.List.Tot.length l) = n)) - (ensures (fun _ -> True)) = - normalize_term_spec (FStar.List.Tot.length l); - l - -let array_index_usize (a : Type0) (n : usize) (x : array a n) (i : usize) : result a = - if i < length x then Ok (index x i) - else Fail Failure - -let array_update_usize (a : Type0) (n : usize) (x : array a n) (i : usize) (nx : a) : - result (array a n) = - if i < length x then Ok (list_update x i nx) - else Fail Failure - -let array_index_mut_usize (a : Type0) (n : usize) (x : array a n) (i : usize) : - result (a & (a -> result (array a n))) = - match array_index_usize a n x i with - | Fail e -> Fail e - | Ok v -> - Ok (v, array_update_usize a n x i) - -(*** Slice *) -type slice (a : Type0) = s:list a{length s <= usize_max} - -let slice_len (a : Type0) (s : slice a) : usize = length s - -let slice_index_usize (a : Type0) (x : slice a) (i : usize) : result a = - if i < length x then Ok (index x i) - else Fail Failure - -let slice_update_usize (a : Type0) (x : slice a) (i : usize) (nx : a) : result (slice a) = - if i < length x then Ok (list_update x i nx) - else Fail Failure - -let slice_index_mut_usize (a : Type0) (s : slice a) (i : usize) : - result (a & (a -> result (slice a))) = - match slice_index_usize a s i with - | Fail e -> Fail e - | Ok x -> - Ok (x, slice_update_usize a s i) - -(*** Subslices *) - -let array_to_slice (a : Type0) (n : usize) (x : array a n) : result (slice a) = Ok x -let array_from_slice (a : Type0) (n : usize) (x : array a n) (s : slice a) : result (array a n) = - if length s = n then Ok s - else Fail Failure - -let array_to_slice_mut (a : Type0) (n : usize) (x : array a n) : - result (slice a & (slice a -> result (array a n))) = - Ok (x, array_from_slice a n x) - -// TODO: finish the definitions below (there lacks [List.drop] and [List.take] in the standard library *) -let array_subslice (a : Type0) (n : usize) (x : array a n) (r : core_ops_range_Range usize) : result (slice a) = - admit() - -let array_update_subslice (a : Type0) (n : usize) (x : array a n) (r : core_ops_range_Range usize) (ns : slice a) : result (array a n) = - admit() - -let array_repeat (a : Type0) (n : usize) (x : a) : array a n = - admit() - -let slice_subslice (a : Type0) (x : slice a) (r : core_ops_range_Range usize) : result (slice a) = - admit() - -let slice_update_subslice (a : Type0) (x : slice a) (r : core_ops_range_Range usize) (ns : slice a) : result (slice a) = - admit() - -(*** Vector *) -type alloc_vec_Vec (a : Type0) = v:list a{length v <= usize_max} - -let alloc_vec_Vec_new (a : Type0) : alloc_vec_Vec a = assert_norm(length #a [] == 0); [] -let alloc_vec_Vec_len (a : Type0) (v : alloc_vec_Vec a) : usize = length v - -// Helper -let alloc_vec_Vec_index_usize (#a : Type0) (v : alloc_vec_Vec a) (i : usize) : result a = - if i < length v then Ok (index v i) else Fail Failure -// Helper -let alloc_vec_Vec_update_usize (#a : Type0) (v : alloc_vec_Vec a) (i : usize) (x : a) : result (alloc_vec_Vec a) = - if i < length v then Ok (list_update v i x) else Fail Failure - -let alloc_vec_Vec_index_mut_usize (#a : Type0) (v: alloc_vec_Vec a) (i: usize) : - result (a & (a → result (alloc_vec_Vec a))) = - match alloc_vec_Vec_index_usize v i with - | Ok x -> - Ok (x, alloc_vec_Vec_update_usize v i) - | Fail e -> Fail e - -let alloc_vec_Vec_push (a : Type0) (v : alloc_vec_Vec a) (x : a) : - Pure (result (alloc_vec_Vec a)) - (requires True) - (ensures (fun res -> - match res with - | Fail e -> e == Failure - | Ok v' -> length v' = length v + 1)) = - if length v < usize_max then begin - (**) assert_norm(length [x] == 1); - (**) append_length v [x]; - (**) assert(length (append v [x]) = length v + 1); - Ok (append v [x]) - end - else Fail Failure - -let alloc_vec_Vec_insert (a : Type0) (v : alloc_vec_Vec a) (i : usize) (x : a) : result (alloc_vec_Vec a) = - if i < length v then Ok (list_update v i x) else Fail Failure - -// Trait declaration: [core::slice::index::private_slice_index::Sealed] -type core_slice_index_private_slice_index_Sealed (self : Type0) = unit - -// Trait declaration: [core::slice::index::SliceIndex] -noeq type core_slice_index_SliceIndex (self t : Type0) = { - sealedInst : core_slice_index_private_slice_index_Sealed self; - output : Type0; - get : self → t → result (option output); - get_mut : self → t → result (option output & (option output -> result t)); - get_unchecked : self → const_raw_ptr t → result (const_raw_ptr output); - get_unchecked_mut : self → mut_raw_ptr t → result (mut_raw_ptr output); - index : self → t → result output; - index_mut : self → t → result (output & (output -> result t)); -} - -// [core::slice::index::[T]::index]: forward function -let core_slice_index_Slice_index - (t idx : Type0) (inst : core_slice_index_SliceIndex idx (slice t)) - (s : slice t) (i : idx) : result inst.output = - let* x = inst.get i s in - match x with - | None -> Fail Failure - | Some x -> Ok x - -// [core::slice::index::Range:::get]: forward function -let core_slice_index_RangeUsize_get (t : Type0) (i : core_ops_range_Range usize) (s : slice t) : - result (option (slice t)) = - admit () // TODO - -// [core::slice::index::Range::get_mut]: forward function -let core_slice_index_RangeUsize_get_mut (t : Type0) : - core_ops_range_Range usize → slice t → result (option (slice t) & (option (slice t) -> result (slice t))) = - admit () // TODO - -// [core::slice::index::Range::get_unchecked]: forward function -let core_slice_index_RangeUsize_get_unchecked - (t : Type0) : - core_ops_range_Range usize → const_raw_ptr (slice t) → result (const_raw_ptr (slice t)) = - // Don't know what the model should be - for now we always fail to make - // sure code which uses it fails - fun _ _ -> Fail Failure - -// [core::slice::index::Range::get_unchecked_mut]: forward function -let core_slice_index_RangeUsize_get_unchecked_mut - (t : Type0) : - core_ops_range_Range usize → mut_raw_ptr (slice t) → result (mut_raw_ptr (slice t)) = - // Don't know what the model should be - for now we always fail to make - // sure code which uses it fails - fun _ _ -> Fail Failure - -// [core::slice::index::Range::index]: forward function -let core_slice_index_RangeUsize_index - (t : Type0) : core_ops_range_Range usize → slice t → result (slice t) = - admit () // TODO - -// [core::slice::index::Range::index_mut]: forward function -let core_slice_index_RangeUsize_index_mut (t : Type0) : - core_ops_range_Range usize → slice t → result (slice t & (slice t -> result (slice t))) = - admit () // TODO - -// [core::slice::index::[T]::index_mut]: forward function -let core_slice_index_Slice_index_mut - (t idx : Type0) (inst : core_slice_index_SliceIndex idx (slice t)) : - slice t → idx → result (inst.output & (inst.output -> result (slice t))) = - admit () // - -// [core::array::[T; N]::index]: forward function -let core_array_Array_index - (t idx : Type0) (n : usize) (inst : core_ops_index_Index (slice t) idx) - (a : array t n) (i : idx) : result inst.output = - admit () // TODO - -// [core::array::[T; N]::index_mut]: forward function -let core_array_Array_index_mut - (t idx : Type0) (n : usize) (inst : core_ops_index_IndexMut (slice t) idx) - (a : array t n) (i : idx) : - result (inst.indexInst.output & (inst.indexInst.output -> result (array t n))) = - admit () // TODO - -// Trait implementation: [core::slice::index::private_slice_index::Range] -let core_slice_index_private_slice_index_SealedRangeUsizeInst - : core_slice_index_private_slice_index_Sealed (core_ops_range_Range usize) = () - -// Trait implementation: [core::slice::index::Range] -let core_slice_index_SliceIndexRangeUsizeSliceTInst (t : Type0) : - core_slice_index_SliceIndex (core_ops_range_Range usize) (slice t) = { - sealedInst = core_slice_index_private_slice_index_SealedRangeUsizeInst; - output = slice t; - get = core_slice_index_RangeUsize_get t; - get_mut = core_slice_index_RangeUsize_get_mut t; - get_unchecked = core_slice_index_RangeUsize_get_unchecked t; - get_unchecked_mut = core_slice_index_RangeUsize_get_unchecked_mut t; - index = core_slice_index_RangeUsize_index t; - index_mut = core_slice_index_RangeUsize_index_mut t; -} - -// Trait implementation: [core::slice::index::[T]] -let core_ops_index_IndexSliceTIInst (t idx : Type0) - (inst : core_slice_index_SliceIndex idx (slice t)) : - core_ops_index_Index (slice t) idx = { - output = inst.output; - index = core_slice_index_Slice_index t idx inst; -} - -// Trait implementation: [core::slice::index::[T]] -let core_ops_index_IndexMutSliceTIInst (t idx : Type0) - (inst : core_slice_index_SliceIndex idx (slice t)) : - core_ops_index_IndexMut (slice t) idx = { - indexInst = core_ops_index_IndexSliceTIInst t idx inst; - index_mut = core_slice_index_Slice_index_mut t idx inst; -} - -// Trait implementation: [core::array::[T; N]] -let core_ops_index_IndexArrayInst (t idx : Type0) (n : usize) - (inst : core_ops_index_Index (slice t) idx) : - core_ops_index_Index (array t n) idx = { - output = inst.output; - index = core_array_Array_index t idx n inst; -} - -// Trait implementation: [core::array::[T; N]] -let core_ops_index_IndexMutArrayIInst (t idx : Type0) (n : usize) - (inst : core_ops_index_IndexMut (slice t) idx) : - core_ops_index_IndexMut (array t n) idx = { - indexInst = core_ops_index_IndexArrayInst t idx n inst.indexInst; - index_mut = core_array_Array_index_mut t idx n inst; -} - -// [core::slice::index::usize::get]: forward function -let core_slice_index_usize_get - (t : Type0) : usize → slice t → result (option t) = - admit () // TODO - -// [core::slice::index::usize::get_mut]: forward function -let core_slice_index_usize_get_mut (t : Type0) : - usize → slice t → result (option t & (option t -> result (slice t))) = - admit () // TODO - -// [core::slice::index::usize::get_unchecked]: forward function -let core_slice_index_usize_get_unchecked - (t : Type0) : usize → const_raw_ptr (slice t) → result (const_raw_ptr t) = - admit () // TODO - -// [core::slice::index::usize::get_unchecked_mut]: forward function -let core_slice_index_usize_get_unchecked_mut - (t : Type0) : usize → mut_raw_ptr (slice t) → result (mut_raw_ptr t) = - admit () // TODO - -// [core::slice::index::usize::index]: forward function -let core_slice_index_usize_index (t : Type0) : usize → slice t → result t = - admit () // TODO - -// [core::slice::index::usize::index_mut]: forward function -let core_slice_index_usize_index_mut (t : Type0) : - usize → slice t → result (t & (t -> result (slice t))) = - admit () // TODO - -// Trait implementation: [core::slice::index::private_slice_index::usize] -let core_slice_index_private_slice_index_SealedUsizeInst - : core_slice_index_private_slice_index_Sealed usize = () - -// Trait implementation: [core::slice::index::usize] -let core_slice_index_SliceIndexUsizeSliceTInst (t : Type0) : - core_slice_index_SliceIndex usize (slice t) = { - sealedInst = core_slice_index_private_slice_index_SealedUsizeInst; - output = t; - get = core_slice_index_usize_get t; - get_mut = core_slice_index_usize_get_mut t; - get_unchecked = core_slice_index_usize_get_unchecked t; - get_unchecked_mut = core_slice_index_usize_get_unchecked_mut t; - index = core_slice_index_usize_index t; - index_mut = core_slice_index_usize_index_mut t; -} - -// [alloc::vec::Vec::index]: forward function -let alloc_vec_Vec_index (t idx : Type0) (inst : core_slice_index_SliceIndex idx (slice t)) - (self : alloc_vec_Vec t) (i : idx) : result inst.output = - admit () // TODO - -// [alloc::vec::Vec::index_mut]: forward function -let alloc_vec_Vec_index_mut (t idx : Type0) (inst : core_slice_index_SliceIndex idx (slice t)) - (self : alloc_vec_Vec t) (i : idx) : - result (inst.output & (inst.output -> result (alloc_vec_Vec t))) = - admit () // TODO - -// Trait implementation: [alloc::vec::Vec] -let alloc_vec_Vec_coreopsindexIndexInst (t idx : Type0) - (inst : core_slice_index_SliceIndex idx (slice t)) : - core_ops_index_Index (alloc_vec_Vec t) idx = { - output = inst.output; - index = alloc_vec_Vec_index t idx inst; -} - -// Trait implementation: [alloc::vec::Vec] -let alloc_vec_Vec_coreopsindexIndexMutInst (t idx : Type0) - (inst : core_slice_index_SliceIndex idx (slice t)) : - core_ops_index_IndexMut (alloc_vec_Vec t) idx = { - indexInst = alloc_vec_Vec_coreopsindexIndexInst t idx inst; - index_mut = alloc_vec_Vec_index_mut t idx inst; -} - -(*** Theorems *) - -let alloc_vec_Vec_index_eq (#a : Type0) (v : alloc_vec_Vec a) (i : usize) : - Lemma ( - alloc_vec_Vec_index a usize (core_slice_index_SliceIndexUsizeSliceTInst a) v i == - alloc_vec_Vec_index_usize v i) - [SMTPat (alloc_vec_Vec_index a usize (core_slice_index_SliceIndexUsizeSliceTInst a) v i)] - = - admit() - -let alloc_vec_Vec_index_mut_eq (#a : Type0) (v : alloc_vec_Vec a) (i : usize) : - Lemma ( - alloc_vec_Vec_index_mut a usize (core_slice_index_SliceIndexUsizeSliceTInst a) v i == - alloc_vec_Vec_index_mut_usize v i) - [SMTPat (alloc_vec_Vec_index_mut a usize (core_slice_index_SliceIndexUsizeSliceTInst a) v i)] - = - admit() |