From 7c444591822e170a15b322c2079202466cc7a475 Mon Sep 17 00:00:00 2001 From: Son Ho Date: Fri, 4 Mar 2022 14:02:13 +0100 Subject: Generate hashmap_on_disk --- .../HashmapMain.Clauses.Template.fst | 63 ++ tests/hashmap_on_disk/HashmapMain.Clauses.fst | 61 ++ tests/hashmap_on_disk/HashmapMain.Funs.fst | 949 +++++++++++++++++++++ tests/hashmap_on_disk/HashmapMain.Opaque.fsti | 16 + tests/hashmap_on_disk/HashmapMain.Types.fsti | 24 + tests/hashmap_on_disk/Primitives.fst | 279 ++++++ 6 files changed, 1392 insertions(+) create mode 100644 tests/hashmap_on_disk/HashmapMain.Clauses.Template.fst create mode 100644 tests/hashmap_on_disk/HashmapMain.Clauses.fst create mode 100644 tests/hashmap_on_disk/HashmapMain.Funs.fst create mode 100644 tests/hashmap_on_disk/HashmapMain.Opaque.fsti create mode 100644 tests/hashmap_on_disk/HashmapMain.Types.fsti create mode 100644 tests/hashmap_on_disk/Primitives.fst (limited to 'tests/hashmap_on_disk') diff --git a/tests/hashmap_on_disk/HashmapMain.Clauses.Template.fst b/tests/hashmap_on_disk/HashmapMain.Clauses.Template.fst new file mode 100644 index 00000000..f3b4d6db --- /dev/null +++ b/tests/hashmap_on_disk/HashmapMain.Clauses.Template.fst @@ -0,0 +1,63 @@ +(** 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 0 --ifuel 1" + +(** [hashmap_main::hashmap::HashMap::{0}::allocate_slots]: decreases clause *) +unfold +let hashmap_hash_map_allocate_slots_decreases (t : Type0) + (slots : vec (hashmap_list_t t)) (n : usize) (st : state) : nat = + admit () + +(** [hashmap_main::hashmap::HashMap::{0}::clear_slots]: decreases clause *) +unfold +let hashmap_hash_map_clear_slots_decreases (t : Type0) + (slots : vec (hashmap_list_t t)) (i : usize) (st : state) : nat = + admit () + +(** [hashmap_main::hashmap::HashMap::{0}::insert_in_list]: decreases clause *) +unfold +let hashmap_hash_map_insert_in_list_decreases (t : Type0) (key : usize) + (value : t) (ls : hashmap_list_t t) (st : state) : nat = + admit () + +(** [hashmap_main::hashmap::HashMap::{0}::move_elements_from_list]: decreases clause *) +unfold +let hashmap_hash_map_move_elements_from_list_decreases (t : Type0) + (ntable : hashmap_hash_map_t t) (ls : hashmap_list_t t) (st : state) : nat = + admit () + +(** [hashmap_main::hashmap::HashMap::{0}::move_elements]: decreases clause *) +unfold +let hashmap_hash_map_move_elements_decreases (t : Type0) + (ntable : hashmap_hash_map_t t) (slots : vec (hashmap_list_t t)) (i : usize) + (st : state) : nat = + admit () + +(** [hashmap_main::hashmap::HashMap::{0}::contains_key_in_list]: decreases clause *) +unfold +let hashmap_hash_map_contains_key_in_list_decreases (t : Type0) (key : usize) + (ls : hashmap_list_t t) (st : state) : nat = + admit () + +(** [hashmap_main::hashmap::HashMap::{0}::get_in_list]: decreases clause *) +unfold +let hashmap_hash_map_get_in_list_decreases (t : Type0) (key : usize) + (ls : hashmap_list_t t) (st : state) : nat = + admit () + +(** [hashmap_main::hashmap::HashMap::{0}::get_mut_in_list]: decreases clause *) +unfold +let hashmap_hash_map_get_mut_in_list_decreases (t : Type0) (key : usize) + (ls : hashmap_list_t t) (st : state) : nat = + admit () + +(** [hashmap_main::hashmap::HashMap::{0}::remove_from_list]: decreases clause *) +unfold +let hashmap_hash_map_remove_from_list_decreases (t : Type0) (key : usize) + (ls : hashmap_list_t t) (st : state) : nat = + admit () + diff --git a/tests/hashmap_on_disk/HashmapMain.Clauses.fst b/tests/hashmap_on_disk/HashmapMain.Clauses.fst new file mode 100644 index 00000000..84e6494a --- /dev/null +++ b/tests/hashmap_on_disk/HashmapMain.Clauses.fst @@ -0,0 +1,61 @@ +(** [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_hash_map_allocate_slots_decreases (t : Type0) (slots : vec (hashmap_list_t t)) + (n : usize) (st : state) : nat = n + +(** [hashmap::HashMap::clear_slots]: decreases clause *) +unfold +let hashmap_hash_map_clear_slots_decreases (t : Type0) (slots : vec (hashmap_list_t t)) + (i : usize) (st : state) : nat = + if i < length slots then length slots - i else 0 + +(** [hashmap::HashMap::insert_in_list]: decreases clause *) +unfold +let hashmap_hash_map_insert_in_list_decreases (t : Type0) (key : usize) (value : t) + (ls : hashmap_list_t t) (st : state) : hashmap_list_t t = + ls + +(** [hashmap::HashMap::move_elements_from_list]: decreases clause *) +unfold +let hashmap_hash_map_move_elements_from_list_decreases (t : Type0) + (ntable : hashmap_hash_map_t t) (ls : hashmap_list_t t) (st : state) : hashmap_list_t t = + ls + +(** [hashmap::HashMap::move_elements]: decreases clause *) +unfold +let hashmap_hash_map_move_elements_decreases (t : Type0) (ntable : hashmap_hash_map_t t) + (slots : vec (hashmap_list_t t)) (i : usize) (st : state) : nat = + if i < length slots then length slots - i else 0 + +(** [hashmap::HashMap::contains_key_in_list]: decreases clause *) +unfold +let hashmap_hash_map_contains_key_in_list_decreases (t : Type0) (key : usize) + (ls : hashmap_list_t t) (st : state) : hashmap_list_t t = + ls + +(** [hashmap::HashMap::get_in_list]: decreases clause *) +unfold +let hashmap_hash_map_get_in_list_decreases (t : Type0) (key : usize) (ls : hashmap_list_t t) (st : state) : + hashmap_list_t t = + ls + +(** [hashmap::HashMap::get_mut_in_list]: decreases clause *) +unfold +let hashmap_hash_map_get_mut_in_list_decreases (t : Type0) (key : usize) + (ls : hashmap_list_t t) (st : state) : hashmap_list_t t = + ls + +(** [hashmap::HashMap::remove_from_list]: decreases clause *) +unfold +let hashmap_hash_map_remove_from_list_decreases (t : Type0) (key : usize) + (ls : hashmap_list_t t) (st : state) : hashmap_list_t t = + ls + diff --git a/tests/hashmap_on_disk/HashmapMain.Funs.fst b/tests/hashmap_on_disk/HashmapMain.Funs.fst new file mode 100644 index 00000000..0eda588f --- /dev/null +++ b/tests/hashmap_on_disk/HashmapMain.Funs.fst @@ -0,0 +1,949 @@ +(** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *) +(** [hashmap_main]: function definitions *) +module HashmapMain.Funs +open Primitives +include HashmapMain.Types +include HashmapMain.Opaque +include HashmapMain.Clauses + +#set-options "--z3rlimit 50 --fuel 0 --ifuel 1" + +(** [hashmap_main::hashmap::hash_key] *) +let hashmap_hash_key_fwd (k : usize) (st : state) : result (state & usize) = + Return (st, k) + +(** [hashmap_main::hashmap::HashMap::{0}::allocate_slots] *) +let rec hashmap_hash_map_allocate_slots_fwd + (t : Type0) (slots : vec (hashmap_list_t t)) (n : usize) (st : state) : + Tot (result (state & (vec (hashmap_list_t t)))) + (decreases (hashmap_hash_map_allocate_slots_decreases t slots n st)) + = + begin match n with + | 0 -> Return (st, slots) + | _ -> + begin match vec_push_back (hashmap_list_t t) slots HashmapListNil with + | Fail -> Fail + | Return v -> + begin match usize_sub n 1 with + | Fail -> Fail + | Return i -> + begin match hashmap_hash_map_allocate_slots_fwd t v i st with + | Fail -> Fail + | Return (st0, v0) -> Return (st0, v0) + end + end + end + end + +(** [hashmap_main::hashmap::HashMap::{0}::new_with_capacity] *) +let hashmap_hash_map_new_with_capacity_fwd + (t : Type0) (capacity : usize) (max_load_dividend : usize) + (max_load_divisor : usize) (st : state) : + result (state & (hashmap_hash_map_t t)) + = + let v = vec_new (hashmap_list_t t) in + begin match hashmap_hash_map_allocate_slots_fwd t v capacity st with + | Fail -> Fail + | Return (st0, v0) -> + begin match usize_mul capacity max_load_dividend with + | Fail -> Fail + | Return i -> + begin match usize_div i max_load_divisor with + | Fail -> Fail + | Return i0 -> + Return (st0, Mkhashmap_hash_map_t 0 (max_load_dividend, + max_load_divisor) i0 v0) + end + end + end + +(** [hashmap_main::hashmap::HashMap::{0}::new] *) +let hashmap_hash_map_new_fwd + (t : Type0) (st : state) : result (state & (hashmap_hash_map_t t)) = + begin match hashmap_hash_map_new_with_capacity_fwd t 32 4 5 st with + | Fail -> Fail + | Return (st0, hm) -> Return (st0, hm) + end + +(** [hashmap_main::hashmap::HashMap::{0}::clear_slots] *) +let rec hashmap_hash_map_clear_slots_fwd + (t : Type0) (slots : vec (hashmap_list_t t)) (i : usize) (st : state) : + Tot (result (state & unit)) + (decreases (hashmap_hash_map_clear_slots_decreases t slots i st)) + = + let i0 = vec_len (hashmap_list_t t) slots in + if i < i0 + then + begin match vec_index_mut_back (hashmap_list_t t) slots i HashmapListNil + with + | Fail -> Fail + | Return v -> + begin match usize_add i 1 with + | Fail -> Fail + | Return i1 -> + begin match hashmap_hash_map_clear_slots_fwd t v i1 st with + | Fail -> Fail + | Return (st0, _) -> Return (st0, ()) + end + end + end + else Return (st, ()) + +(** [hashmap_main::hashmap::HashMap::{0}::clear_slots] *) +let rec hashmap_hash_map_clear_slots_back + (t : Type0) (slots : vec (hashmap_list_t t)) (i : usize) (st : state) : + Tot (result (state & (vec (hashmap_list_t t)))) + (decreases (hashmap_hash_map_clear_slots_decreases t slots i st)) + = + let i0 = vec_len (hashmap_list_t t) slots in + if i < i0 + then + begin match vec_index_mut_back (hashmap_list_t t) slots i HashmapListNil + with + | Fail -> Fail + | Return v -> + begin match usize_add i 1 with + | Fail -> Fail + | Return i1 -> + begin match hashmap_hash_map_clear_slots_back t v i1 st with + | Fail -> Fail + | Return (st0, v0) -> Return (st0, v0) + end + end + end + else Return (st, slots) + +(** [hashmap_main::hashmap::HashMap::{0}::clear] *) +let hashmap_hash_map_clear_fwd + (t : Type0) (self : hashmap_hash_map_t t) (st : state) : + result (state & unit) + = + begin match + hashmap_hash_map_clear_slots_fwd t self.hashmap_hash_map_slots 0 st with + | Fail -> Fail + | Return (st0, _) -> Return (st0, ()) + end + +(** [hashmap_main::hashmap::HashMap::{0}::clear] *) +let hashmap_hash_map_clear_back + (t : Type0) (self : hashmap_hash_map_t t) (st : state) : + result (state & (hashmap_hash_map_t t)) + = + begin match + hashmap_hash_map_clear_slots_back t self.hashmap_hash_map_slots 0 st with + | Fail -> Fail + | Return (st0, v) -> + Return (st0, Mkhashmap_hash_map_t 0 self.hashmap_hash_map_max_load_factor + self.hashmap_hash_map_max_load v) + end + +(** [hashmap_main::hashmap::HashMap::{0}::len] *) +let hashmap_hash_map_len_fwd + (t : Type0) (self : hashmap_hash_map_t t) (st : state) : + result (state & usize) + = + Return (st, self.hashmap_hash_map_num_entries) + +(** [hashmap_main::hashmap::HashMap::{0}::insert_in_list] *) +let rec hashmap_hash_map_insert_in_list_fwd + (t : Type0) (key : usize) (value : t) (ls : hashmap_list_t t) (st : state) : + Tot (result (state & bool)) + (decreases (hashmap_hash_map_insert_in_list_decreases t key value ls st)) + = + begin match ls with + | HashmapListCons ckey cvalue ls0 -> + if ckey = key + then Return (st, false) + else + begin match hashmap_hash_map_insert_in_list_fwd t key value ls0 st with + | Fail -> Fail + | Return (st0, b) -> Return (st0, b) + end + | HashmapListNil -> Return (st, true) + end + +(** [hashmap_main::hashmap::HashMap::{0}::insert_in_list] *) +let rec hashmap_hash_map_insert_in_list_back + (t : Type0) (key : usize) (value : t) (ls : hashmap_list_t t) (st : state) : + Tot (result (state & (hashmap_list_t t))) + (decreases (hashmap_hash_map_insert_in_list_decreases t key value ls st)) + = + begin match ls with + | HashmapListCons ckey cvalue ls0 -> + if ckey = key + then Return (st, HashmapListCons ckey value ls0) + else + begin match hashmap_hash_map_insert_in_list_back t key value ls0 st with + | Fail -> Fail + | Return (st0, l) -> Return (st0, HashmapListCons ckey cvalue l) + end + | HashmapListNil -> + let l = HashmapListNil in Return (st, HashmapListCons key value l) + end + +(** [hashmap_main::hashmap::HashMap::{0}::insert_no_resize] *) +let hashmap_hash_map_insert_no_resize_fwd + (t : Type0) (self : hashmap_hash_map_t t) (key : usize) (value : t) + (st : state) : + result (state & unit) + = + begin match hashmap_hash_key_fwd key st with + | Fail -> Fail + | Return (st0, i) -> + let i0 = vec_len (hashmap_list_t t) self.hashmap_hash_map_slots in + begin match usize_rem i i0 with + | Fail -> Fail + | Return hash_mod -> + begin match + vec_index_mut_fwd (hashmap_list_t t) self.hashmap_hash_map_slots + hash_mod with + | Fail -> Fail + | Return l -> + begin match hashmap_hash_map_insert_in_list_fwd t key value l st0 with + | Fail -> Fail + | Return (st1, b) -> + if b + then + begin match usize_add self.hashmap_hash_map_num_entries 1 with + | Fail -> Fail + | Return _ -> Return (st1, ()) + end + else Return (st1, ()) + end + end + end + end + +(** [hashmap_main::hashmap::HashMap::{0}::insert_no_resize] *) +let hashmap_hash_map_insert_no_resize_back + (t : Type0) (self : hashmap_hash_map_t t) (key : usize) (value : t) + (st : state) : + result (state & (hashmap_hash_map_t t)) + = + begin match hashmap_hash_key_fwd key st with + | Fail -> Fail + | Return (st0, i) -> + let i0 = vec_len (hashmap_list_t t) self.hashmap_hash_map_slots in + begin match usize_rem i i0 with + | Fail -> Fail + | Return hash_mod -> + begin match + vec_index_mut_fwd (hashmap_list_t t) self.hashmap_hash_map_slots + hash_mod with + | Fail -> Fail + | Return l -> + begin match hashmap_hash_map_insert_in_list_fwd t key value l st0 with + | Fail -> Fail + | Return (st1, b) -> + if b + then + begin match usize_add self.hashmap_hash_map_num_entries 1 with + | Fail -> Fail + | Return i1 -> + begin match + hashmap_hash_map_insert_in_list_back t key value l st1 with + | Fail -> Fail + | Return (st2, l0) -> + begin match + vec_index_mut_back (hashmap_list_t t) + self.hashmap_hash_map_slots hash_mod l0 with + | Fail -> Fail + | Return v -> + Return (st2, Mkhashmap_hash_map_t i1 + self.hashmap_hash_map_max_load_factor + self.hashmap_hash_map_max_load v) + end + end + end + else + begin match hashmap_hash_map_insert_in_list_back t key value l st1 + with + | Fail -> Fail + | Return (st2, l0) -> + begin match + vec_index_mut_back (hashmap_list_t t) + self.hashmap_hash_map_slots hash_mod l0 with + | Fail -> Fail + | Return v -> + Return (st2, Mkhashmap_hash_map_t + self.hashmap_hash_map_num_entries + self.hashmap_hash_map_max_load_factor + self.hashmap_hash_map_max_load v) + end + end + end + end + end + end + +(** [hashmap_main::hashmap::HashMap::{0}::move_elements_from_list] *) +let rec hashmap_hash_map_move_elements_from_list_fwd + (t : Type0) (ntable : hashmap_hash_map_t t) (ls : hashmap_list_t t) + (st : state) : + Tot (result (state & unit)) + (decreases (hashmap_hash_map_move_elements_from_list_decreases t ntable ls + st)) + = + begin match ls with + | HashmapListCons k v tl -> + begin match hashmap_hash_map_insert_no_resize_back t ntable k v st with + | Fail -> Fail + | Return (st0, hm) -> + begin match hashmap_hash_map_move_elements_from_list_fwd t hm tl st0 with + | Fail -> Fail + | Return (st1, _) -> Return (st1, ()) + end + end + | HashmapListNil -> Return (st, ()) + end + +(** [hashmap_main::hashmap::HashMap::{0}::move_elements_from_list] *) +let rec hashmap_hash_map_move_elements_from_list_back + (t : Type0) (ntable : hashmap_hash_map_t t) (ls : hashmap_list_t t) + (st : state) : + Tot (result (state & (hashmap_hash_map_t t))) + (decreases (hashmap_hash_map_move_elements_from_list_decreases t ntable ls + st)) + = + begin match ls with + | HashmapListCons k v tl -> + begin match hashmap_hash_map_insert_no_resize_back t ntable k v st with + | Fail -> Fail + | Return (st0, hm) -> + begin match hashmap_hash_map_move_elements_from_list_back t hm tl st0 + with + | Fail -> Fail + | Return (st1, hm0) -> Return (st1, hm0) + end + end + | HashmapListNil -> Return (st, ntable) + end + +(** [hashmap_main::hashmap::HashMap::{0}::move_elements] *) +let rec hashmap_hash_map_move_elements_fwd + (t : Type0) (ntable : hashmap_hash_map_t t) (slots : vec (hashmap_list_t t)) + (i : usize) (st : state) : + Tot (result (state & unit)) + (decreases (hashmap_hash_map_move_elements_decreases t ntable slots i st)) + = + let i0 = vec_len (hashmap_list_t t) slots in + if i < i0 + then + begin match vec_index_mut_fwd (hashmap_list_t t) slots i with + | Fail -> Fail + | Return l -> + let l0 = mem_replace_fwd (hashmap_list_t t) l HashmapListNil in + begin match hashmap_hash_map_move_elements_from_list_back t ntable l0 st + with + | Fail -> Fail + | Return (st0, hm) -> + let l1 = mem_replace_back (hashmap_list_t t) l HashmapListNil in + begin match vec_index_mut_back (hashmap_list_t t) slots i l1 with + | Fail -> Fail + | Return v -> + begin match usize_add i 1 with + | Fail -> Fail + | Return i1 -> + begin match hashmap_hash_map_move_elements_fwd t hm v i1 st0 with + | Fail -> Fail + | Return (st1, _) -> Return (st1, ()) + end + end + end + end + end + else Return (st, ()) + +(** [hashmap_main::hashmap::HashMap::{0}::move_elements] *) +let rec hashmap_hash_map_move_elements_back + (t : Type0) (ntable : hashmap_hash_map_t t) (slots : vec (hashmap_list_t t)) + (i : usize) (st : state) : + Tot (result (state & ((hashmap_hash_map_t t) & (vec (hashmap_list_t t))))) + (decreases (hashmap_hash_map_move_elements_decreases t ntable slots i st)) + = + let i0 = vec_len (hashmap_list_t t) slots in + if i < i0 + then + begin match vec_index_mut_fwd (hashmap_list_t t) slots i with + | Fail -> Fail + | Return l -> + let l0 = mem_replace_fwd (hashmap_list_t t) l HashmapListNil in + begin match hashmap_hash_map_move_elements_from_list_back t ntable l0 st + with + | Fail -> Fail + | Return (st0, hm) -> + let l1 = mem_replace_back (hashmap_list_t t) l HashmapListNil in + begin match vec_index_mut_back (hashmap_list_t t) slots i l1 with + | Fail -> Fail + | Return v -> + begin match usize_add i 1 with + | Fail -> Fail + | Return i1 -> + begin match hashmap_hash_map_move_elements_back t hm v i1 st0 with + | Fail -> Fail + | Return (st1, (hm0, v0)) -> Return (st1, (hm0, v0)) + end + end + end + end + end + else Return (st, (ntable, slots)) + +(** [hashmap_main::hashmap::HashMap::{0}::try_resize] *) +let hashmap_hash_map_try_resize_fwd + (t : Type0) (self : hashmap_hash_map_t t) (st : state) : + result (state & unit) + = + let i = vec_len (hashmap_list_t t) self.hashmap_hash_map_slots in + begin match usize_div 4294967295 2 with + | Fail -> Fail + | Return n1 -> + let (i0, i1) = self.hashmap_hash_map_max_load_factor in + begin match usize_div n1 i0 with + | Fail -> Fail + | Return i2 -> + if i <= i2 + then + begin match usize_mul i 2 with + | Fail -> Fail + | Return i3 -> + begin match hashmap_hash_map_new_with_capacity_fwd t i3 i0 i1 st with + | Fail -> Fail + | Return (st0, hm) -> + begin match + hashmap_hash_map_move_elements_back t hm + self.hashmap_hash_map_slots 0 st0 with + | Fail -> Fail + | Return (st1, (_, _)) -> Return (st1, ()) + end + end + end + else Return (st, ()) + end + end + +(** [hashmap_main::hashmap::HashMap::{0}::try_resize] *) +let hashmap_hash_map_try_resize_back + (t : Type0) (self : hashmap_hash_map_t t) (st : state) : + result (state & (hashmap_hash_map_t t)) + = + let i = vec_len (hashmap_list_t t) self.hashmap_hash_map_slots in + begin match usize_div 4294967295 2 with + | Fail -> Fail + | Return n1 -> + let (i0, i1) = self.hashmap_hash_map_max_load_factor in + begin match usize_div n1 i0 with + | Fail -> Fail + | Return i2 -> + if i <= i2 + then + begin match usize_mul i 2 with + | Fail -> Fail + | Return i3 -> + begin match hashmap_hash_map_new_with_capacity_fwd t i3 i0 i1 st with + | Fail -> Fail + | Return (st0, hm) -> + begin match + hashmap_hash_map_move_elements_back t hm + self.hashmap_hash_map_slots 0 st0 with + | Fail -> Fail + | Return (st1, (hm0, v)) -> + let v0 = + mem_replace_back (vec (hashmap_list_t t)) v + hm0.hashmap_hash_map_slots in + Return (st1, Mkhashmap_hash_map_t + self.hashmap_hash_map_num_entries (i0, i1) + hm0.hashmap_hash_map_max_load v0) + end + end + end + else + Return (st, Mkhashmap_hash_map_t self.hashmap_hash_map_num_entries ( + i0, i1) self.hashmap_hash_map_max_load self.hashmap_hash_map_slots) + end + end + +(** [hashmap_main::hashmap::HashMap::{0}::insert] *) +let hashmap_hash_map_insert_fwd + (t : Type0) (self : hashmap_hash_map_t t) (key : usize) (value : t) + (st : state) : + result (state & unit) + = + begin match hashmap_hash_map_insert_no_resize_back t self key value st with + | Fail -> Fail + | Return (st0, hm) -> + begin match hashmap_hash_map_len_fwd t hm st0 with + | Fail -> Fail + | Return (st1, i) -> + if i > hm.hashmap_hash_map_max_load + then + begin match + hashmap_hash_map_try_resize_fwd t (Mkhashmap_hash_map_t + hm.hashmap_hash_map_num_entries hm.hashmap_hash_map_max_load_factor + hm.hashmap_hash_map_max_load hm.hashmap_hash_map_slots) st1 with + | Fail -> Fail + | Return (st2, _) -> Return (st2, ()) + end + else Return (st1, ()) + end + end + +(** [hashmap_main::hashmap::HashMap::{0}::insert] *) +let hashmap_hash_map_insert_back + (t : Type0) (self : hashmap_hash_map_t t) (key : usize) (value : t) + (st : state) : + result (state & (hashmap_hash_map_t t)) + = + begin match hashmap_hash_map_insert_no_resize_back t self key value st with + | Fail -> Fail + | Return (st0, hm) -> + begin match hashmap_hash_map_len_fwd t hm st0 with + | Fail -> Fail + | Return (st1, i) -> + if i > hm.hashmap_hash_map_max_load + then + begin match + hashmap_hash_map_try_resize_back t (Mkhashmap_hash_map_t + hm.hashmap_hash_map_num_entries hm.hashmap_hash_map_max_load_factor + hm.hashmap_hash_map_max_load hm.hashmap_hash_map_slots) st1 with + | Fail -> Fail + | Return (st2, hm0) -> Return (st2, hm0) + end + else + Return (st1, Mkhashmap_hash_map_t hm.hashmap_hash_map_num_entries + hm.hashmap_hash_map_max_load_factor hm.hashmap_hash_map_max_load + hm.hashmap_hash_map_slots) + end + end + +(** [hashmap_main::hashmap::HashMap::{0}::contains_key_in_list] *) +let rec hashmap_hash_map_contains_key_in_list_fwd + (t : Type0) (key : usize) (ls : hashmap_list_t t) (st : state) : + Tot (result (state & bool)) + (decreases (hashmap_hash_map_contains_key_in_list_decreases t key ls st)) + = + begin match ls with + | HashmapListCons ckey x ls0 -> + if ckey = key + then Return (st, true) + else + begin match hashmap_hash_map_contains_key_in_list_fwd t key ls0 st with + | Fail -> Fail + | Return (st0, b) -> Return (st0, b) + end + | HashmapListNil -> Return (st, false) + end + +(** [hashmap_main::hashmap::HashMap::{0}::contains_key] *) +let hashmap_hash_map_contains_key_fwd + (t : Type0) (self : hashmap_hash_map_t t) (key : usize) (st : state) : + result (state & bool) + = + begin match hashmap_hash_key_fwd key st with + | Fail -> Fail + | Return (st0, i) -> + let i0 = vec_len (hashmap_list_t t) self.hashmap_hash_map_slots in + begin match usize_rem i i0 with + | Fail -> Fail + | Return hash_mod -> + begin match + vec_index_fwd (hashmap_list_t t) self.hashmap_hash_map_slots hash_mod + with + | Fail -> Fail + | Return l -> + begin match hashmap_hash_map_contains_key_in_list_fwd t key l st0 with + | Fail -> Fail + | Return (st1, b) -> Return (st1, b) + end + end + end + end + +(** [hashmap_main::hashmap::HashMap::{0}::get_in_list] *) +let rec hashmap_hash_map_get_in_list_fwd + (t : Type0) (key : usize) (ls : hashmap_list_t t) (st : state) : + Tot (result (state & t)) + (decreases (hashmap_hash_map_get_in_list_decreases t key ls st)) + = + begin match ls with + | HashmapListCons ckey cvalue ls0 -> + if ckey = key + then Return (st, cvalue) + else + begin match hashmap_hash_map_get_in_list_fwd t key ls0 st with + | Fail -> Fail + | Return (st0, x) -> Return (st0, x) + end + | HashmapListNil -> Fail + end + +(** [hashmap_main::hashmap::HashMap::{0}::get] *) +let hashmap_hash_map_get_fwd + (t : Type0) (self : hashmap_hash_map_t t) (key : usize) (st : state) : + result (state & t) + = + begin match hashmap_hash_key_fwd key st with + | Fail -> Fail + | Return (st0, i) -> + let i0 = vec_len (hashmap_list_t t) self.hashmap_hash_map_slots in + begin match usize_rem i i0 with + | Fail -> Fail + | Return hash_mod -> + begin match + vec_index_fwd (hashmap_list_t t) self.hashmap_hash_map_slots hash_mod + with + | Fail -> Fail + | Return l -> + begin match hashmap_hash_map_get_in_list_fwd t key l st0 with + | Fail -> Fail + | Return (st1, x) -> Return (st1, x) + end + end + end + end + +(** [hashmap_main::hashmap::HashMap::{0}::get_mut_in_list] *) +let rec hashmap_hash_map_get_mut_in_list_fwd + (t : Type0) (key : usize) (ls : hashmap_list_t t) (st : state) : + Tot (result (state & t)) + (decreases (hashmap_hash_map_get_mut_in_list_decreases t key ls st)) + = + begin match ls with + | HashmapListCons ckey cvalue ls0 -> + if ckey = key + then Return (st, cvalue) + else + begin match hashmap_hash_map_get_mut_in_list_fwd t key ls0 st with + | Fail -> Fail + | Return (st0, x) -> Return (st0, x) + end + | HashmapListNil -> Fail + end + +(** [hashmap_main::hashmap::HashMap::{0}::get_mut_in_list] *) +let rec hashmap_hash_map_get_mut_in_list_back + (t : Type0) (key : usize) (ls : hashmap_list_t t) (ret : t) (st : state) : + Tot (result (state & (hashmap_list_t t))) + (decreases (hashmap_hash_map_get_mut_in_list_decreases t key ls st)) + = + begin match ls with + | HashmapListCons ckey cvalue ls0 -> + if ckey = key + then Return (st, HashmapListCons ckey ret ls0) + else + begin match hashmap_hash_map_get_mut_in_list_back t key ls0 ret st with + | Fail -> Fail + | Return (st0, l) -> Return (st0, HashmapListCons ckey cvalue l) + end + | HashmapListNil -> Fail + end + +(** [hashmap_main::hashmap::HashMap::{0}::get_mut] *) +let hashmap_hash_map_get_mut_fwd + (t : Type0) (self : hashmap_hash_map_t t) (key : usize) (st : state) : + result (state & t) + = + begin match hashmap_hash_key_fwd key st with + | Fail -> Fail + | Return (st0, i) -> + let i0 = vec_len (hashmap_list_t t) self.hashmap_hash_map_slots in + begin match usize_rem i i0 with + | Fail -> Fail + | Return hash_mod -> + begin match + vec_index_mut_fwd (hashmap_list_t t) self.hashmap_hash_map_slots + hash_mod with + | Fail -> Fail + | Return l -> + begin match hashmap_hash_map_get_mut_in_list_fwd t key l st0 with + | Fail -> Fail + | Return (st1, x) -> Return (st1, x) + end + end + end + end + +(** [hashmap_main::hashmap::HashMap::{0}::get_mut] *) +let hashmap_hash_map_get_mut_back + (t : Type0) (self : hashmap_hash_map_t t) (key : usize) (ret : t) + (st : state) : + result (state & (hashmap_hash_map_t t)) + = + begin match hashmap_hash_key_fwd key st with + | Fail -> Fail + | Return (st0, i) -> + let i0 = vec_len (hashmap_list_t t) self.hashmap_hash_map_slots in + begin match usize_rem i i0 with + | Fail -> Fail + | Return hash_mod -> + begin match + vec_index_mut_fwd (hashmap_list_t t) self.hashmap_hash_map_slots + hash_mod with + | Fail -> Fail + | Return l -> + begin match hashmap_hash_map_get_mut_in_list_back t key l ret st0 with + | Fail -> Fail + | Return (st1, l0) -> + begin match + vec_index_mut_back (hashmap_list_t t) self.hashmap_hash_map_slots + hash_mod l0 with + | Fail -> Fail + | Return v -> + Return (st1, Mkhashmap_hash_map_t self.hashmap_hash_map_num_entries + self.hashmap_hash_map_max_load_factor + self.hashmap_hash_map_max_load v) + end + end + end + end + end + +(** [hashmap_main::hashmap::HashMap::{0}::remove_from_list] *) +let rec hashmap_hash_map_remove_from_list_fwd + (t : Type0) (key : usize) (ls : hashmap_list_t t) (st : state) : + Tot (result (state & (option t))) + (decreases (hashmap_hash_map_remove_from_list_decreases t key ls st)) + = + begin match ls with + | HashmapListCons ckey x tl -> + if ckey = key + then + let mv_ls = + mem_replace_fwd (hashmap_list_t t) (HashmapListCons ckey x tl) + HashmapListNil in + begin match mv_ls with + | HashmapListCons i cvalue tl0 -> Return (st, Some cvalue) + | HashmapListNil -> Fail + end + else + begin match hashmap_hash_map_remove_from_list_fwd t key tl st with + | Fail -> Fail + | Return (st0, opt) -> Return (st0, opt) + end + | HashmapListNil -> Return (st, None) + end + +(** [hashmap_main::hashmap::HashMap::{0}::remove_from_list] *) +let rec hashmap_hash_map_remove_from_list_back + (t : Type0) (key : usize) (ls : hashmap_list_t t) (st : state) : + Tot (result (state & (hashmap_list_t t))) + (decreases (hashmap_hash_map_remove_from_list_decreases t key ls st)) + = + begin match ls with + | HashmapListCons ckey x tl -> + if ckey = key + then + let mv_ls = + mem_replace_fwd (hashmap_list_t t) (HashmapListCons ckey x tl) + HashmapListNil in + begin match mv_ls with + | HashmapListCons i cvalue tl0 -> Return (st, tl0) + | HashmapListNil -> Fail + end + else + begin match hashmap_hash_map_remove_from_list_back t key tl st with + | Fail -> Fail + | Return (st0, l) -> Return (st0, HashmapListCons ckey x l) + end + | HashmapListNil -> Return (st, HashmapListNil) + end + +(** [hashmap_main::hashmap::HashMap::{0}::remove] *) +let hashmap_hash_map_remove_fwd + (t : Type0) (self : hashmap_hash_map_t t) (key : usize) (st : state) : + result (state & (option t)) + = + begin match hashmap_hash_key_fwd key st with + | Fail -> Fail + | Return (st0, i) -> + let i0 = vec_len (hashmap_list_t t) self.hashmap_hash_map_slots in + begin match usize_rem i i0 with + | Fail -> Fail + | Return hash_mod -> + begin match + vec_index_mut_fwd (hashmap_list_t t) self.hashmap_hash_map_slots + hash_mod with + | Fail -> Fail + | Return l -> + begin match hashmap_hash_map_remove_from_list_fwd t key l st0 with + | Fail -> Fail + | Return (st1, x) -> + begin match x with + | None -> Return (st1, None) + | Some x0 -> + begin match usize_sub self.hashmap_hash_map_num_entries 1 with + | Fail -> Fail + | Return _ -> Return (st1, Some x0) + end + end + end + end + end + end + +(** [hashmap_main::hashmap::HashMap::{0}::remove] *) +let hashmap_hash_map_remove_back + (t : Type0) (self : hashmap_hash_map_t t) (key : usize) (st : state) : + result (state & (hashmap_hash_map_t t)) + = + begin match hashmap_hash_key_fwd key st with + | Fail -> Fail + | Return (st0, i) -> + let i0 = vec_len (hashmap_list_t t) self.hashmap_hash_map_slots in + begin match usize_rem i i0 with + | Fail -> Fail + | Return hash_mod -> + begin match + vec_index_mut_fwd (hashmap_list_t t) self.hashmap_hash_map_slots + hash_mod with + | Fail -> Fail + | Return l -> + begin match hashmap_hash_map_remove_from_list_fwd t key l st0 with + | Fail -> Fail + | Return (st1, x) -> + begin match x with + | None -> + begin match hashmap_hash_map_remove_from_list_back t key l st1 with + | Fail -> Fail + | Return (st2, l0) -> + begin match + vec_index_mut_back (hashmap_list_t t) + self.hashmap_hash_map_slots hash_mod l0 with + | Fail -> Fail + | Return v -> + Return (st2, Mkhashmap_hash_map_t + self.hashmap_hash_map_num_entries + self.hashmap_hash_map_max_load_factor + self.hashmap_hash_map_max_load v) + end + end + | Some x0 -> + begin match usize_sub self.hashmap_hash_map_num_entries 1 with + | Fail -> Fail + | Return i1 -> + begin match hashmap_hash_map_remove_from_list_back t key l st1 + with + | Fail -> Fail + | Return (st2, l0) -> + begin match + vec_index_mut_back (hashmap_list_t t) + self.hashmap_hash_map_slots hash_mod l0 with + | Fail -> Fail + | Return v -> + Return (st2, Mkhashmap_hash_map_t i1 + self.hashmap_hash_map_max_load_factor + self.hashmap_hash_map_max_load v) + end + end + end + end + end + end + end + end + +(** [hashmap_main::hashmap::test1] *) +let hashmap_test1_fwd (st : state) : result (state & unit) = + begin match hashmap_hash_map_new_fwd u64 st with + | Fail -> Fail + | Return (st0, hm) -> + begin match hashmap_hash_map_insert_back u64 hm 0 42 st0 with + | Fail -> Fail + | Return (st1, hm0) -> + begin match hashmap_hash_map_insert_back u64 hm0 128 18 st1 with + | Fail -> Fail + | Return (st2, hm1) -> + begin match hashmap_hash_map_insert_back u64 hm1 1024 138 st2 with + | Fail -> Fail + | Return (st3, hm2) -> + begin match hashmap_hash_map_insert_back u64 hm2 1056 256 st3 with + | Fail -> Fail + | Return (st4, hm3) -> + begin match hashmap_hash_map_get_fwd u64 hm3 128 st4 with + | Fail -> Fail + | Return (st5, i) -> + if not (i = 18) + then Fail + else + begin match hashmap_hash_map_get_mut_back u64 hm3 1024 56 st5 + with + | Fail -> Fail + | Return (st6, hm4) -> + begin match hashmap_hash_map_get_fwd u64 hm4 1024 st6 with + | Fail -> Fail + | Return (st7, i0) -> + if not (i0 = 56) + then Fail + else + begin match hashmap_hash_map_remove_fwd u64 hm4 1024 st7 + with + | Fail -> Fail + | Return (st8, x) -> + begin match x with + | None -> Fail + | Some x0 -> + if not (x0 = 56) + then Fail + else + begin match + hashmap_hash_map_remove_back u64 hm4 1024 st8 + with + | Fail -> Fail + | Return (st9, hm5) -> + begin match + hashmap_hash_map_get_fwd u64 hm5 0 st9 with + | Fail -> Fail + | Return (st10, i1) -> + if not (i1 = 42) + then Fail + else + begin match + hashmap_hash_map_get_fwd u64 hm5 128 st10 + with + | Fail -> Fail + | Return (st11, i2) -> + if not (i2 = 18) + then Fail + else + begin match + hashmap_hash_map_get_fwd u64 + hm5 1056 st11 with + | Fail -> Fail + | Return (st12, i3) -> + if not (i3 = 256) + then Fail + else Return (st12, ()) + end + end + end + end + end + end + end + end + end + end + end + end + end + end + +(** [hashmap_main::insert_on_disk] *) +let insert_on_disk_fwd + (key : usize) (value : u64) (st : state) : result (state & unit) = + begin match hashmap_utils_deserialize_fwd st with + | Fail -> Fail + | Return (st0, hm) -> + begin match hashmap_hash_map_insert_back u64 hm key value st0 with + | Fail -> Fail + | Return (st1, hm0) -> + begin match hashmap_utils_serialize_fwd hm0 st1 with + | Fail -> Fail + | Return (st2, _) -> Return (st2, ()) + end + end + end + +(** [hashmap_main::main] *) +let main_fwd (st : state) : result (state & unit) = Return (st, ()) + diff --git a/tests/hashmap_on_disk/HashmapMain.Opaque.fsti b/tests/hashmap_on_disk/HashmapMain.Opaque.fsti new file mode 100644 index 00000000..a8ec347f --- /dev/null +++ b/tests/hashmap_on_disk/HashmapMain.Opaque.fsti @@ -0,0 +1,16 @@ +(** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *) +(** [hashmap_main]: opaque function definitions *) +module HashmapMain.Opaque +open Primitives +include HashmapMain.Types + +#set-options "--z3rlimit 50 --fuel 0 --ifuel 1" + +(** [hashmap_main::hashmap_utils::deserialize] *) +val hashmap_utils_deserialize_fwd + : state -> result (state & (hashmap_hash_map_t u64)) + +(** [hashmap_main::hashmap_utils::serialize] *) +val hashmap_utils_serialize_fwd + : hashmap_hash_map_t u64 -> state -> result (state & unit) + diff --git a/tests/hashmap_on_disk/HashmapMain.Types.fsti b/tests/hashmap_on_disk/HashmapMain.Types.fsti new file mode 100644 index 00000000..b9798076 --- /dev/null +++ b/tests/hashmap_on_disk/HashmapMain.Types.fsti @@ -0,0 +1,24 @@ +(** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *) +(** [hashmap_main]: type definitions *) +module HashmapMain.Types +open Primitives + +#set-options "--z3rlimit 50 --fuel 0 --ifuel 1" + +(** [hashmap_main::hashmap::List] *) +type hashmap_list_t (t : Type0) = +| HashmapListCons : usize -> t -> hashmap_list_t t -> hashmap_list_t t +| HashmapListNil : hashmap_list_t t + +(** [hashmap_main::hashmap::HashMap] *) +type hashmap_hash_map_t (t : Type0) = +{ + hashmap_hash_map_num_entries : usize; + hashmap_hash_map_max_load_factor : (usize & usize); + hashmap_hash_map_max_load : usize; + hashmap_hash_map_slots : vec (hashmap_list_t t); +} + +(** The state type used in the state-error monad *) +val state : Type0 + diff --git a/tests/hashmap_on_disk/Primitives.fst b/tests/hashmap_on_disk/Primitives.fst new file mode 100644 index 00000000..77cf59aa --- /dev/null +++ b/tests/hashmap_on_disk/Primitives.fst @@ -0,0 +1,279 @@ +/// 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 result (a : Type0) : Type0 = +| Return : v:a -> result a +| Fail : result a + +// Monadic bind and return. +// Re-definining those allows us to customize the result of the monadic notations +// like: `y <-- f x;` +let return (#a : Type0) (x:a) : result a = Return x +let bind (#a #b : Type0) (m : result a) (f : a -> result b) : result b = + match m with + | Return x -> f x + | Fail -> Fail + +// Monadic assert(...) +let massert (b:bool) : result unit = if b then Return () else Fail + +(*** Misc *) +type char = FStar.Char.char +type string = string + +let mem_replace_fwd (a : Type0) (x : a) (y : a) : a = x +let mem_replace_back (a : Type0) (x : a) (y : a) : a = y + +(*** Scalars *) +/// Rk.: most of the following code was at least partially generated + +let isize_min : int = -9223372036854775808 +let isize_max : int = 9223372036854775807 +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 // being conservative here: [u32_max] instead of [u64_max] +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 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 Return x else Fail + +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 + +/// 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 + +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) + +/// 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 + +/// 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 + +/// Substraction +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 + +(*** Vector *) +type vec (a : Type0) = v:list a{length v <= usize_max} + +let vec_new (a : Type0) : vec a = assert_norm(length #a [] == 0); [] +let vec_len (a : Type0) (v : vec a) : usize = length v + +// The **forward** function shouldn't be used +let vec_push_fwd (a : Type0) (v : vec a) (x : a) : unit = () +let vec_push_back (a : Type0) (v : vec a) (x : a) : + Pure (result (vec a)) + (requires True) + (ensures (fun res -> + match res with + | Fail -> True + | Return 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); + Return (append v [x]) + end + else Fail + +// The **forward** function shouldn't be used +let vec_insert_fwd (a : Type0) (v : vec a) (i : usize) (x : a) : result unit = + if i < length v then Return () else Fail +let vec_insert_back (a : Type0) (v : vec a) (i : usize) (x : a) : result (vec a) = + if i < length v then Return (list_update v i x) else Fail + +// The **backward** function shouldn't be used +let vec_index_fwd (a : Type0) (v : vec a) (i : usize) : result a = + if i < length v then Return (index v i) else Fail +let vec_index_back (a : Type0) (v : vec a) (i : usize) (x : a) : result unit = + if i < length v then Return () else Fail + +let vec_index_mut_fwd (a : Type0) (v : vec a) (i : usize) : result a = + if i < length v then Return (index v i) else Fail +let vec_index_mut_back (a : Type0) (v : vec a) (i : usize) (nx : a) : result (vec a) = + if i < length v then Return (list_update v i nx) else Fail + -- cgit v1.2.3