diff options
Diffstat (limited to '')
-rw-r--r-- | tests/hashmap/Hashmap.Properties.fst | 38 |
1 files changed, 36 insertions, 2 deletions
diff --git a/tests/hashmap/Hashmap.Properties.fst b/tests/hashmap/Hashmap.Properties.fst index c1ac8ea9..6cec0921 100644 --- a/tests/hashmap/Hashmap.Properties.fst +++ b/tests/hashmap/Hashmap.Properties.fst @@ -133,6 +133,38 @@ let rec map_list_update_lem #a #b f ls i x = else map_list_update_lem f ls' (i-1) x #pop-options +val length_flatten_update : + #a:Type + -> ls:list (list a) + -> i:nat{i < length ls} + -> x:list a -> + Lemma ( + // length (flatten (list_update ls i x)) = + // length (flatten ls) - length (index ls i) + length x + length (flatten (list_update ls i x)) + length (index ls i) = + length (flatten ls) + length x) + +#push-options "--fuel 1" +let rec length_flatten_update #a ls i x = + match ls with + | x' :: ls' -> + assert(flatten ls == x' @ flatten ls'); // Triggers patterns + assert(length (flatten ls) == length x' + length (flatten ls')); + if i = 0 then + begin + let ls1 = x :: ls' in + assert(list_update ls i x == ls1); + assert(flatten ls1 == x @ flatten ls'); // Triggers patterns + assert(length (flatten ls1) == length x + length (flatten ls')); + () + end + else + begin + length_flatten_update ls' (i-1) x; + let ls1 = x' :: list_update ls' (i-1) x in + assert(flatten ls1 == x' @ flatten (list_update ls' (i-1) x)) // Triggers patterns + end +#pop-options (*** Utilities *) // TODO: filter the utilities @@ -1240,7 +1272,8 @@ let hash_map_insert_no_resize_fwd_back_lem t self key value = assert(hm_v == list_update self_v hash_mod (list_t_v l0)); assert_norm(length [(key,value)] = 1); assert(length (list_t_v l0) = length (list_t_v l) + 1); - assume(hash_map_slots_len_s hm_v = hash_map_t_len_s hm) + length_flatten_update self_v hash_mod (list_t_v l0); + assert(hash_map_slots_len_s hm_v = hash_map_t_len_s hm) end end end @@ -1257,7 +1290,8 @@ let hash_map_insert_no_resize_fwd_back_lem t self key value = let hm_v = hash_map_t_slots_v hm in assert(hm_v == list_update self_v hash_mod (list_t_v l0)); assert(length (list_t_v l0) = length (list_t_v l)); - assume(hash_map_slots_len_s hm_v = hash_map_t_len_s hm) + length_flatten_update self_v hash_mod (list_t_v l0); + assert(hash_map_slots_len_s hm_v = hash_map_t_len_s hm) end end end |