diff options
Diffstat (limited to 'tests/fstar')
45 files changed, 7128 insertions, 3965 deletions
diff --git a/tests/fstar/array/Array.Clauses.Template.fst b/tests/fstar/array/Array.Clauses.Template.fst index 8a15e230..06056d61 100644 --- a/tests/fstar/array/Array.Clauses.Template.fst +++ b/tests/fstar/array/Array.Clauses.Template.fst @@ -8,11 +8,12 @@ open Array.Types (** [array::sum]: decreases clause *) unfold -let sum_loop_decreases (s : slice u32) (sum : u32) (i : usize) : nat = admit () +let sum_loop_decreases (s : slice u32) (sum0 : u32) (i : usize) : nat = + admit () (** [array::sum2]: decreases clause *) unfold -let sum2_loop_decreases (s : slice u32) (s2 : slice u32) (sum : u32) +let sum2_loop_decreases (s : slice u32) (s2 : slice u32) (sum0 : u32) (i : usize) : nat = admit () diff --git a/tests/fstar/array/Array.Funs.fst b/tests/fstar/array/Array.Funs.fst index 7c1d0b09..8f0bfbbd 100644 --- a/tests/fstar/array/Array.Funs.fst +++ b/tests/fstar/array/Array.Funs.fst @@ -7,349 +7,369 @@ include Array.Clauses #set-options "--z3rlimit 50 --fuel 1 --ifuel 1" +(** [array::incr]: merged forward/backward function + (there is a single backward function, and the forward function returns ()) *) +let incr (x : u32) : result u32 = + u32_add x 1 + (** [array::array_to_shared_slice_]: forward function *) -let array_to_shared_slice__fwd - (t : Type0) (s : array t 32) : result (slice t) = - array_to_slice_shared t 32 s +let array_to_shared_slice_ (t : Type0) (s : array t 32) : result (slice t) = + array_to_slice t 32 s (** [array::array_to_mut_slice_]: forward function *) -let array_to_mut_slice__fwd (t : Type0) (s : array t 32) : result (slice t) = - array_to_slice_mut_fwd t 32 s +let array_to_mut_slice_ (t : Type0) (s : array t 32) : result (slice t) = + array_to_slice t 32 s (** [array::array_to_mut_slice_]: backward function 0 *) let array_to_mut_slice__back (t : Type0) (s : array t 32) (ret : slice t) : result (array t 32) = - array_to_slice_mut_back t 32 s ret + array_from_slice t 32 s ret (** [array::array_len]: forward function *) -let array_len_fwd (t : Type0) (s : array t 32) : result usize = - let* s0 = array_to_slice_shared t 32 s in let i = slice_len t s0 in Return i +let array_len (t : Type0) (s : array t 32) : result usize = + let* s0 = array_to_slice t 32 s in let i = slice_len t s0 in Return i (** [array::shared_array_len]: forward function *) -let shared_array_len_fwd (t : Type0) (s : array t 32) : result usize = - let* s0 = array_to_slice_shared t 32 s in let i = slice_len t s0 in Return i +let shared_array_len (t : Type0) (s : array t 32) : result usize = + let* s0 = array_to_slice t 32 s in let i = slice_len t s0 in Return i (** [array::shared_slice_len]: forward function *) -let shared_slice_len_fwd (t : Type0) (s : slice t) : result usize = +let shared_slice_len (t : Type0) (s : slice t) : result usize = let i = slice_len t s in Return i (** [array::index_array_shared]: forward function *) -let index_array_shared_fwd - (t : Type0) (s : array t 32) (i : usize) : result t = - array_index_shared t 32 s i +let index_array_shared (t : Type0) (s : array t 32) (i : usize) : result t = + array_index_usize t 32 s i (** [array::index_array_u32]: forward function *) -let index_array_u32_fwd (s : array u32 32) (i : usize) : result u32 = - array_index_shared u32 32 s i - -(** [array::index_array_generic]: forward function *) -let index_array_generic_fwd - (n : usize) (s : array u32 n) (i : usize) : result u32 = - array_index_shared u32 n s i - -(** [array::index_array_generic_call]: forward function *) -let index_array_generic_call_fwd - (n : usize) (s : array u32 n) (i : usize) : result u32 = - index_array_generic_fwd n s i +let index_array_u32 (s : array u32 32) (i : usize) : result u32 = + array_index_usize u32 32 s i (** [array::index_array_copy]: forward function *) -let index_array_copy_fwd (x : array u32 32) : result u32 = - array_index_shared u32 32 x 0 +let index_array_copy (x : array u32 32) : result u32 = + array_index_usize u32 32 x 0 (** [array::index_mut_array]: forward function *) -let index_mut_array_fwd (t : Type0) (s : array t 32) (i : usize) : result t = - array_index_mut_fwd t 32 s i +let index_mut_array (t : Type0) (s : array t 32) (i : usize) : result t = + array_index_usize t 32 s i (** [array::index_mut_array]: backward function 0 *) let index_mut_array_back (t : Type0) (s : array t 32) (i : usize) (ret : t) : result (array t 32) = - array_index_mut_back t 32 s i ret + array_update_usize t 32 s i ret (** [array::index_slice]: forward function *) -let index_slice_fwd (t : Type0) (s : slice t) (i : usize) : result t = - slice_index_shared t s i +let index_slice (t : Type0) (s : slice t) (i : usize) : result t = + slice_index_usize t s i (** [array::index_mut_slice]: forward function *) -let index_mut_slice_fwd (t : Type0) (s : slice t) (i : usize) : result t = - slice_index_mut_fwd t s i +let index_mut_slice (t : Type0) (s : slice t) (i : usize) : result t = + slice_index_usize t s i (** [array::index_mut_slice]: backward function 0 *) let index_mut_slice_back (t : Type0) (s : slice t) (i : usize) (ret : t) : result (slice t) = - slice_index_mut_back t s i ret + slice_update_usize t s i ret (** [array::slice_subslice_shared_]: forward function *) -let slice_subslice_shared__fwd +let slice_subslice_shared_ (x : slice u32) (y : usize) (z : usize) : result (slice u32) = - slice_subslice_shared u32 x (Mkrange y z) + core_slice_index_Slice_index u32 (core_ops_range_Range usize) + (core_slice_index_Range_coresliceindexSliceIndexInst u32) x + { start = y; end_ = z } (** [array::slice_subslice_mut_]: forward function *) -let slice_subslice_mut__fwd +let slice_subslice_mut_ (x : slice u32) (y : usize) (z : usize) : result (slice u32) = - slice_subslice_mut_fwd u32 x (Mkrange y z) + core_slice_index_Slice_index_mut u32 (core_ops_range_Range usize) + (core_slice_index_Range_coresliceindexSliceIndexInst u32) x + { start = y; end_ = z } (** [array::slice_subslice_mut_]: backward function 0 *) let slice_subslice_mut__back (x : slice u32) (y : usize) (z : usize) (ret : slice u32) : result (slice u32) = - slice_subslice_mut_back u32 x (Mkrange y z) ret + core_slice_index_Slice_index_mut_back u32 (core_ops_range_Range usize) + (core_slice_index_Range_coresliceindexSliceIndexInst u32) x + { start = y; end_ = z } ret (** [array::array_to_slice_shared_]: forward function *) -let array_to_slice_shared__fwd (x : array u32 32) : result (slice u32) = - array_to_slice_shared u32 32 x +let array_to_slice_shared_ (x : array u32 32) : result (slice u32) = + array_to_slice u32 32 x (** [array::array_to_slice_mut_]: forward function *) -let array_to_slice_mut__fwd (x : array u32 32) : result (slice u32) = - array_to_slice_mut_fwd u32 32 x +let array_to_slice_mut_ (x : array u32 32) : result (slice u32) = + array_to_slice u32 32 x (** [array::array_to_slice_mut_]: backward function 0 *) let array_to_slice_mut__back (x : array u32 32) (ret : slice u32) : result (array u32 32) = - array_to_slice_mut_back u32 32 x ret + array_from_slice u32 32 x ret (** [array::array_subslice_shared_]: forward function *) -let array_subslice_shared__fwd +let array_subslice_shared_ (x : array u32 32) (y : usize) (z : usize) : result (slice u32) = - array_subslice_shared u32 32 x (Mkrange y z) + core_array_Array_index u32 (core_ops_range_Range usize) 32 + (core_slice_index_Slice_coreopsindexIndexInst u32 (core_ops_range_Range + usize) (core_slice_index_Range_coresliceindexSliceIndexInst u32)) x + { start = y; end_ = z } (** [array::array_subslice_mut_]: forward function *) -let array_subslice_mut__fwd +let array_subslice_mut_ (x : array u32 32) (y : usize) (z : usize) : result (slice u32) = - array_subslice_mut_fwd u32 32 x (Mkrange y z) + core_array_Array_index_mut u32 (core_ops_range_Range usize) 32 + (core_slice_index_Slice_coreopsindexIndexMutInst u32 (core_ops_range_Range + usize) (core_slice_index_Range_coresliceindexSliceIndexInst u32)) x + { start = y; end_ = z } (** [array::array_subslice_mut_]: backward function 0 *) let array_subslice_mut__back (x : array u32 32) (y : usize) (z : usize) (ret : slice u32) : result (array u32 32) = - array_subslice_mut_back u32 32 x (Mkrange y z) ret + core_array_Array_index_mut_back u32 (core_ops_range_Range usize) 32 + (core_slice_index_Slice_coreopsindexIndexMutInst u32 (core_ops_range_Range + usize) (core_slice_index_Range_coresliceindexSliceIndexInst u32)) x + { start = y; end_ = z } ret (** [array::index_slice_0]: forward function *) -let index_slice_0_fwd (t : Type0) (s : slice t) : result t = - slice_index_shared t s 0 +let index_slice_0 (t : Type0) (s : slice t) : result t = + slice_index_usize t s 0 (** [array::index_array_0]: forward function *) -let index_array_0_fwd (t : Type0) (s : array t 32) : result t = - array_index_shared t 32 s 0 +let index_array_0 (t : Type0) (s : array t 32) : result t = + array_index_usize t 32 s 0 (** [array::index_index_array]: forward function *) -let index_index_array_fwd +let index_index_array (s : array (array u32 32) 32) (i : usize) (j : usize) : result u32 = - let* a = array_index_shared (array u32 32) 32 s i in - array_index_shared u32 32 a j + let* a = array_index_usize (array u32 32) 32 s i in + array_index_usize u32 32 a j (** [array::update_update_array]: forward function *) -let update_update_array_fwd +let update_update_array (s : array (array u32 32) 32) (i : usize) (j : usize) : result unit = - let* a = array_index_mut_fwd (array u32 32) 32 s i in - let* a0 = array_index_mut_back u32 32 a j 0 in - let* _ = array_index_mut_back (array u32 32) 32 s i a0 in + let* a = array_index_usize (array u32 32) 32 s i in + let* a0 = array_update_usize u32 32 a j 0 in + let* _ = array_update_usize (array u32 32) 32 s i a0 in Return () (** [array::array_local_deep_copy]: forward function *) -let array_local_deep_copy_fwd (x : array u32 32) : result unit = +let array_local_deep_copy (x : array u32 32) : result unit = Return () (** [array::take_array]: forward function *) -let take_array_fwd (a : array u32 2) : result unit = +let take_array (a : array u32 2) : result unit = Return () (** [array::take_array_borrow]: forward function *) -let take_array_borrow_fwd (a : array u32 2) : result unit = +let take_array_borrow (a : array u32 2) : result unit = Return () (** [array::take_slice]: forward function *) -let take_slice_fwd (s : slice u32) : result unit = +let take_slice (s : slice u32) : result unit = Return () (** [array::take_mut_slice]: merged forward/backward function (there is a single backward function, and the forward function returns ()) *) -let take_mut_slice_fwd_back (s : slice u32) : result (slice u32) = +let take_mut_slice (s : slice u32) : result (slice u32) = Return s (** [array::take_all]: forward function *) -let take_all_fwd : result unit = - let* _ = take_array_fwd (mk_array u32 2 [ 0; 0 ]) in - let* _ = take_array_borrow_fwd (mk_array u32 2 [ 0; 0 ]) in - let* s = array_to_slice_shared u32 2 (mk_array u32 2 [ 0; 0 ]) in - let* _ = take_slice_fwd s in - let* s0 = array_to_slice_mut_fwd u32 2 (mk_array u32 2 [ 0; 0 ]) in - let* s1 = take_mut_slice_fwd_back s0 in - let* _ = array_to_slice_mut_back u32 2 (mk_array u32 2 [ 0; 0 ]) s1 in +let take_all : result unit = + let* _ = take_array (mk_array u32 2 [ 0; 0 ]) in + let* _ = take_array_borrow (mk_array u32 2 [ 0; 0 ]) in + let* s = array_to_slice u32 2 (mk_array u32 2 [ 0; 0 ]) in + let* _ = take_slice s in + let* s0 = array_to_slice u32 2 (mk_array u32 2 [ 0; 0 ]) in + let* s1 = take_mut_slice s0 in + let* _ = array_from_slice u32 2 (mk_array u32 2 [ 0; 0 ]) s1 in Return () (** [array::index_array]: forward function *) -let index_array_fwd (x : array u32 2) : result u32 = - array_index_shared u32 2 x 0 +let index_array (x : array u32 2) : result u32 = + array_index_usize u32 2 x 0 (** [array::index_array_borrow]: forward function *) -let index_array_borrow_fwd (x : array u32 2) : result u32 = - array_index_shared u32 2 x 0 +let index_array_borrow (x : array u32 2) : result u32 = + array_index_usize u32 2 x 0 (** [array::index_slice_u32_0]: forward function *) -let index_slice_u32_0_fwd (x : slice u32) : result u32 = - slice_index_shared u32 x 0 +let index_slice_u32_0 (x : slice u32) : result u32 = + slice_index_usize u32 x 0 (** [array::index_mut_slice_u32_0]: forward function *) -let index_mut_slice_u32_0_fwd (x : slice u32) : result u32 = - slice_index_shared u32 x 0 +let index_mut_slice_u32_0 (x : slice u32) : result u32 = + slice_index_usize u32 x 0 (** [array::index_mut_slice_u32_0]: backward function 0 *) let index_mut_slice_u32_0_back (x : slice u32) : result (slice u32) = - let* _ = slice_index_shared u32 x 0 in Return x + let* _ = slice_index_usize u32 x 0 in Return x (** [array::index_all]: forward function *) -let index_all_fwd : result u32 = - let* i = index_array_fwd (mk_array u32 2 [ 0; 0 ]) in - let* i0 = index_array_fwd (mk_array u32 2 [ 0; 0 ]) in +let index_all : result u32 = + let* i = index_array (mk_array u32 2 [ 0; 0 ]) in + let* i0 = index_array (mk_array u32 2 [ 0; 0 ]) in let* i1 = u32_add i i0 in - let* i2 = index_array_borrow_fwd (mk_array u32 2 [ 0; 0 ]) in + let* i2 = index_array_borrow (mk_array u32 2 [ 0; 0 ]) in let* i3 = u32_add i1 i2 in - let* s = array_to_slice_shared u32 2 (mk_array u32 2 [ 0; 0 ]) in - let* i4 = index_slice_u32_0_fwd s in + let* s = array_to_slice u32 2 (mk_array u32 2 [ 0; 0 ]) in + let* i4 = index_slice_u32_0 s in let* i5 = u32_add i3 i4 in - let* s0 = array_to_slice_mut_fwd u32 2 (mk_array u32 2 [ 0; 0 ]) in - let* i6 = index_mut_slice_u32_0_fwd s0 in + let* s0 = array_to_slice u32 2 (mk_array u32 2 [ 0; 0 ]) in + let* i6 = index_mut_slice_u32_0 s0 in let* i7 = u32_add i5 i6 in let* s1 = index_mut_slice_u32_0_back s0 in - let* _ = array_to_slice_mut_back u32 2 (mk_array u32 2 [ 0; 0 ]) s1 in + let* _ = array_from_slice u32 2 (mk_array u32 2 [ 0; 0 ]) s1 in Return i7 (** [array::update_array]: forward function *) -let update_array_fwd (x : array u32 2) : result unit = - let* _ = array_index_mut_back u32 2 x 0 1 in Return () +let update_array (x : array u32 2) : result unit = + let* _ = array_update_usize u32 2 x 0 1 in Return () (** [array::update_array_mut_borrow]: merged forward/backward function (there is a single backward function, and the forward function returns ()) *) -let update_array_mut_borrow_fwd_back (x : array u32 2) : result (array u32 2) = - array_index_mut_back u32 2 x 0 1 +let update_array_mut_borrow (x : array u32 2) : result (array u32 2) = + array_update_usize u32 2 x 0 1 (** [array::update_mut_slice]: merged forward/backward function (there is a single backward function, and the forward function returns ()) *) -let update_mut_slice_fwd_back (x : slice u32) : result (slice u32) = - slice_index_mut_back u32 x 0 1 +let update_mut_slice (x : slice u32) : result (slice u32) = + slice_update_usize u32 x 0 1 (** [array::update_all]: forward function *) -let update_all_fwd : result unit = - let* _ = update_array_fwd (mk_array u32 2 [ 0; 0 ]) in - let* x = update_array_mut_borrow_fwd_back (mk_array u32 2 [ 0; 0 ]) in - let* s = array_to_slice_mut_fwd u32 2 x in - let* s0 = update_mut_slice_fwd_back s in - let* _ = array_to_slice_mut_back u32 2 x s0 in +let update_all : result unit = + let* _ = update_array (mk_array u32 2 [ 0; 0 ]) in + let* x = update_array_mut_borrow (mk_array u32 2 [ 0; 0 ]) in + let* s = array_to_slice u32 2 x in + let* s0 = update_mut_slice s in + let* _ = array_from_slice u32 2 x s0 in Return () (** [array::range_all]: forward function *) -let range_all_fwd : result unit = +let range_all : result unit = let* s = - array_subslice_mut_fwd u32 4 (mk_array u32 4 [ 0; 0; 0; 0 ]) (Mkrange 1 3) - in - let* s0 = update_mut_slice_fwd_back s in + core_array_Array_index_mut u32 (core_ops_range_Range usize) 4 + (core_slice_index_Slice_coreopsindexIndexMutInst u32 + (core_ops_range_Range usize) + (core_slice_index_Range_coresliceindexSliceIndexInst u32)) + (mk_array u32 4 [ 0; 0; 0; 0 ]) { start = 1; end_ = 3 } in + let* s0 = update_mut_slice s in let* _ = - array_subslice_mut_back u32 4 (mk_array u32 4 [ 0; 0; 0; 0 ]) (Mkrange 1 3) - s0 in + core_array_Array_index_mut_back u32 (core_ops_range_Range usize) 4 + (core_slice_index_Slice_coreopsindexIndexMutInst u32 + (core_ops_range_Range usize) + (core_slice_index_Range_coresliceindexSliceIndexInst u32)) + (mk_array u32 4 [ 0; 0; 0; 0 ]) { start = 1; end_ = 3 } s0 in Return () (** [array::deref_array_borrow]: forward function *) -let deref_array_borrow_fwd (x : array u32 2) : result u32 = - array_index_shared u32 2 x 0 +let deref_array_borrow (x : array u32 2) : result u32 = + array_index_usize u32 2 x 0 (** [array::deref_array_mut_borrow]: forward function *) -let deref_array_mut_borrow_fwd (x : array u32 2) : result u32 = - array_index_shared u32 2 x 0 +let deref_array_mut_borrow (x : array u32 2) : result u32 = + array_index_usize u32 2 x 0 (** [array::deref_array_mut_borrow]: backward function 0 *) let deref_array_mut_borrow_back (x : array u32 2) : result (array u32 2) = - let* _ = array_index_shared u32 2 x 0 in Return x + let* _ = array_index_usize u32 2 x 0 in Return x (** [array::take_array_t]: forward function *) -let take_array_t_fwd (a : array t_t 2) : result unit = +let take_array_t (a : array aB_t 2) : result unit = Return () (** [array::non_copyable_array]: forward function *) -let non_copyable_array_fwd : result unit = - let* _ = take_array_t_fwd (mk_array t_t 2 [ TA; TB ]) in Return () +let non_copyable_array : result unit = + let* _ = take_array_t (mk_array aB_t 2 [ AB_A; AB_B ]) in Return () (** [array::sum]: loop 0: forward function *) -let rec sum_loop_fwd - (s : slice u32) (sum : u32) (i : usize) : - Tot (result u32) (decreases (sum_loop_decreases s sum i)) +let rec sum_loop + (s : slice u32) (sum0 : u32) (i : usize) : + Tot (result u32) (decreases (sum_loop_decreases s sum0 i)) = let i0 = slice_len u32 s in if i < i0 then - let* i1 = slice_index_shared u32 s i in - let* sum0 = u32_add sum i1 in + let* i1 = slice_index_usize u32 s i in + let* sum1 = u32_add sum0 i1 in let* i2 = usize_add i 1 in - sum_loop_fwd s sum0 i2 - else Return sum + sum_loop s sum1 i2 + else Return sum0 (** [array::sum]: forward function *) -let sum_fwd (s : slice u32) : result u32 = - sum_loop_fwd s 0 0 +let sum (s : slice u32) : result u32 = + sum_loop s 0 0 (** [array::sum2]: loop 0: forward function *) -let rec sum2_loop_fwd - (s : slice u32) (s2 : slice u32) (sum : u32) (i : usize) : - Tot (result u32) (decreases (sum2_loop_decreases s s2 sum i)) +let rec sum2_loop + (s : slice u32) (s2 : slice u32) (sum0 : u32) (i : usize) : + Tot (result u32) (decreases (sum2_loop_decreases s s2 sum0 i)) = let i0 = slice_len u32 s in if i < i0 then - let* i1 = slice_index_shared u32 s i in - let* i2 = slice_index_shared u32 s2 i in + let* i1 = slice_index_usize u32 s i in + let* i2 = slice_index_usize u32 s2 i in let* i3 = u32_add i1 i2 in - let* sum0 = u32_add sum i3 in + let* sum1 = u32_add sum0 i3 in let* i4 = usize_add i 1 in - sum2_loop_fwd s s2 sum0 i4 - else Return sum + sum2_loop s s2 sum1 i4 + else Return sum0 (** [array::sum2]: forward function *) -let sum2_fwd (s : slice u32) (s2 : slice u32) : result u32 = +let sum2 (s : slice u32) (s2 : slice u32) : result u32 = let i = slice_len u32 s in let i0 = slice_len u32 s2 in - if not (i = i0) then Fail Failure else sum2_loop_fwd s s2 0 0 + if not (i = i0) then Fail Failure else sum2_loop s s2 0 0 (** [array::f0]: forward function *) -let f0_fwd : result unit = - let* s = array_to_slice_mut_fwd u32 2 (mk_array u32 2 [ 1; 2 ]) in - let* s0 = slice_index_mut_back u32 s 0 1 in - let* _ = array_to_slice_mut_back u32 2 (mk_array u32 2 [ 1; 2 ]) s0 in +let f0 : result unit = + let* s = array_to_slice u32 2 (mk_array u32 2 [ 1; 2 ]) in + let* s0 = slice_update_usize u32 s 0 1 in + let* _ = array_from_slice u32 2 (mk_array u32 2 [ 1; 2 ]) s0 in Return () (** [array::f1]: forward function *) -let f1_fwd : result unit = - let* _ = array_index_mut_back u32 2 (mk_array u32 2 [ 1; 2 ]) 0 1 in - Return () +let f1 : result unit = + let* _ = array_update_usize u32 2 (mk_array u32 2 [ 1; 2 ]) 0 1 in Return () (** [array::f2]: forward function *) -let f2_fwd (i : u32) : result unit = +let f2 (i : u32) : result unit = Return () (** [array::f4]: forward function *) -let f4_fwd (x : array u32 32) (y : usize) (z : usize) : result (slice u32) = - array_subslice_shared u32 32 x (Mkrange y z) +let f4 (x : array u32 32) (y : usize) (z : usize) : result (slice u32) = + core_array_Array_index u32 (core_ops_range_Range usize) 32 + (core_slice_index_Slice_coreopsindexIndexInst u32 (core_ops_range_Range + usize) (core_slice_index_Range_coresliceindexSliceIndexInst u32)) x + { start = y; end_ = z } (** [array::f3]: forward function *) -let f3_fwd : result u32 = - let* i = array_index_shared u32 2 (mk_array u32 2 [ 1; 2 ]) 0 in - let* _ = f2_fwd i in - let* s = array_to_slice_shared u32 2 (mk_array u32 2 [ 1; 2 ]) in - let* s0 = - f4_fwd - (mk_array u32 32 [ - 0; 0; 0; 0; 0; 0; 0; 0; 0; 0; 0; 0; 0; 0; 0; 0; 0; 0; 0; 0; 0; 0; 0; 0; - 0; 0; 0; 0; 0; 0; 0; 0 - ]) 16 18 in - sum2_fwd s s0 +let f3 : result u32 = + let* i = array_index_usize u32 2 (mk_array u32 2 [ 1; 2 ]) 0 in + let* _ = f2 i in + let b = array_repeat u32 32 0 in + let* s = array_to_slice u32 2 (mk_array u32 2 [ 1; 2 ]) in + let* s0 = f4 b 16 18 in + sum2 s s0 + +(** [array::SZ] *) +let sz_body : result usize = Return 32 +let sz_c : usize = eval_global sz_body + +(** [array::f5]: forward function *) +let f5 (x : array u32 32) : result u32 = + array_index_usize u32 32 x 0 (** [array::ite]: forward function *) -let ite_fwd : result unit = - let* s = array_to_slice_mut_fwd u32 2 (mk_array u32 2 [ 0; 0 ]) in - let* s0 = array_to_slice_mut_fwd u32 2 (mk_array u32 2 [ 0; 0 ]) in +let ite : result unit = + let* s = array_to_slice u32 2 (mk_array u32 2 [ 0; 0 ]) in + let* s0 = array_to_slice u32 2 (mk_array u32 2 [ 0; 0 ]) in let* s1 = index_mut_slice_u32_0_back s0 in - let* _ = array_to_slice_mut_back u32 2 (mk_array u32 2 [ 0; 0 ]) s1 in + let* _ = array_from_slice u32 2 (mk_array u32 2 [ 0; 0 ]) s1 in let* s2 = index_mut_slice_u32_0_back s in - let* _ = array_to_slice_mut_back u32 2 (mk_array u32 2 [ 0; 0 ]) s2 in + let* _ = array_from_slice u32 2 (mk_array u32 2 [ 0; 0 ]) s2 in Return () diff --git a/tests/fstar/array/Array.Types.fst b/tests/fstar/array/Array.Types.fst index 5e8e81d8..4e8d5566 100644 --- a/tests/fstar/array/Array.Types.fst +++ b/tests/fstar/array/Array.Types.fst @@ -5,6 +5,6 @@ open Primitives #set-options "--z3rlimit 50 --fuel 1 --ifuel 1" -(** [array::T] *) -type t_t = | TA : t_t | TB : t_t +(** [array::AB] *) +type aB_t = | AB_A : aB_t | AB_B : aB_t diff --git a/tests/fstar/array/Primitives.fst b/tests/fstar/array/Primitives.fst index 9db82069..3297803c 100644 --- a/tests/fstar/array/Primitives.fst +++ b/tests/fstar/array/Primitives.fst @@ -55,8 +55,12 @@ type string = string let is_zero (n: nat) : bool = n = 0 let decrease (n: nat{n > 0}) : nat = n - 1 -let mem_replace_fwd (a : Type0) (x : a) (y : a) : a = x -let mem_replace_back (a : Type0) (x : a) (y : a) : a = y +let core_mem_replace (a : Type0) (x : a) (y : a) : a = x +let core_mem_replace_back (a : Type0) (x : a) (y : a) : a = y + +// 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 @@ -100,6 +104,11 @@ type scalar_ty = | 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 @@ -162,6 +171,15 @@ let scalar_sub (#ty : scalar_ty) (x : scalar ty) (y : scalar ty) : result (scala let scalar_mul (#ty : scalar_ty) (x : scalar ty) (y : scalar ty) : result (scalar ty) = mk_scalar ty (x * y) +let scalar_lxor (#ty : scalar_ty { is_unsigned ty && ty <> Usize }) + (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 + (** 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) = @@ -169,17 +187,44 @@ let scalar_cast (src_ty : scalar_ty) (tgt_ty : scalar_ty) (x : scalar src_ty) : /// 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 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 +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 @@ -231,7 +276,7 @@ let u32_add = scalar_add #U32 let u64_add = scalar_add #U64 let u128_add = scalar_add #U128 -/// Substraction +/// Subtraction let isize_sub = scalar_sub #Isize let i8_sub = scalar_sub #I8 let i16_sub = scalar_sub #I16 @@ -259,12 +304,65 @@ let u32_mul = scalar_mul #U32 let u64_mul = scalar_mul #U64 let u128_mul = scalar_mul #U128 -(*** Range *) -type range (a : Type0) = { +/// Logical operators, defined for unsigned types only, so far +let u8_xor = scalar_lxor #U8 +let u16_xor = scalar_lxor #U16 +let u32_xor = scalar_lxor #U32 +let u64_xor = scalar_lxor #U64 +let u128_xor = scalar_lxor #U128 + +(*** 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; + index_mut_back : self → idx → 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; + deref_mut_back : self → 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 = Return x +let alloc_boxed_Box_deref_mut (t : Type0) (x : t) : result t = Return x +let alloc_boxed_Box_deref_mut_back (t : Type) (_ : t) (x : t) : result t = Return 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; + deref_mut_back = alloc_boxed_Box_deref_mut_back self; +} + (*** Array *) type array (a : Type0) (n : usize) = s:list a{length s = n} @@ -278,15 +376,11 @@ let mk_array (a : Type0) (n : usize) normalize_term_spec (FStar.List.Tot.length l); l -let array_index_shared (a : Type0) (n : usize) (x : array a n) (i : usize) : result a = - if i < length x then Return (index x i) - else Fail Failure - -let array_index_mut_fwd (a : Type0) (n : usize) (x : array a n) (i : usize) : result a = +let array_index_usize (a : Type0) (n : usize) (x : array a n) (i : usize) : result a = if i < length x then Return (index x i) else Fail Failure -let array_index_mut_back (a : Type0) (n : usize) (x : array a n) (i : usize) (nx : a) : result (array a n) = +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 Return (list_update x i nx) else Fail Failure @@ -295,55 +389,54 @@ 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_shared (a : Type0) (x : slice a) (i : usize) : result a = +let slice_index_usize (a : Type0) (x : slice a) (i : usize) : result a = if i < length x then Return (index x i) else Fail Failure -let slice_index_mut_fwd (a : Type0) (x : slice a) (i : usize) : result a = - if i < length x then Return (index x i) - else Fail Failure - -let slice_index_mut_back (a : Type0) (x : slice a) (i : usize) (nx : a) : result (slice a) = +let slice_update_usize (a : Type0) (x : slice a) (i : usize) (nx : a) : result (slice a) = if i < length x then Return (list_update x i nx) else Fail Failure (*** Subslices *) -let array_to_slice_shared (a : Type0) (n : usize) (x : array a n) : result (slice a) = Return x -let array_to_slice_mut_fwd (a : Type0) (n : usize) (x : array a n) : result (slice a) = Return x -let array_to_slice_mut_back (a : Type0) (n : usize) (x : array a n) (s : slice a) : result (array a n) = +let array_to_slice (a : Type0) (n : usize) (x : array a n) : result (slice a) = Return 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 Return s else Fail Failure // TODO: finish the definitions below (there lacks [List.drop] and [List.take] in the standard library *) -let array_subslice_shared (a : Type0) (n : usize) (x : array a n) (r : range usize) : result (slice a) = - admit() - -let array_subslice_mut_fwd (a : Type0) (n : usize) (x : array a n) (r : range usize) : result (slice a) = +let array_subslice (a : Type0) (n : usize) (x : array a n) (r : core_ops_range_Range usize) : result (slice a) = admit() -let array_subslice_mut_back (a : Type0) (n : usize) (x : array a n) (r : range usize) (ns : slice a) : result (array a n) = +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 slice_subslice_shared (a : Type0) (x : slice a) (r : range usize) : result (slice a) = +let array_repeat (a : Type0) (n : usize) (x : a) : array a n = admit() -let slice_subslice_mut_fwd (a : Type0) (x : slice a) (r : range usize) : result (slice a) = +let slice_subslice (a : Type0) (x : slice a) (r : core_ops_range_Range usize) : result (slice a) = admit() -let slice_subslice_mut_back (a : Type0) (x : slice a) (r : range usize) (ns : slice a) : result (slice a) = +let slice_update_subslice (a : Type0) (x : slice a) (r : core_ops_range_Range usize) (ns : slice a) : result (slice a) = admit() (*** Vector *) -type vec (a : Type0) = v:list a{length v <= usize_max} +type alloc_vec_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 +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 Return (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 Return (list_update v i x) else Fail Failure // 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)) +let alloc_vec_Vec_push_fwd (a : Type0) (v : alloc_vec_Vec a) (x : a) : unit = () +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 @@ -358,18 +451,279 @@ let vec_push_back (a : Type0) (v : vec a) (x : a) : else Fail Failure // The **forward** function shouldn't be used -let vec_insert_fwd (a : Type0) (v : vec a) (i : usize) (x : a) : result unit = +let alloc_vec_Vec_insert_fwd (a : Type0) (v : alloc_vec_Vec a) (i : usize) (x : a) : result unit = if i < length v then Return () else Fail Failure -let vec_insert_back (a : Type0) (v : vec a) (i : usize) (x : a) : result (vec a) = +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 Return (list_update v i x) else Fail Failure -// 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 Failure -let vec_index_back (a : Type0) (v : vec a) (i : usize) (x : a) : result unit = - if i < length v then Return () 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); + get_mut_back : self → t → 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; + index_mut_back : self → t → output → result t; +} -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 Failure -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 Failure +// [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 -> Return x + +// [core::slice::index::Range:::get]: forward function +let core_slice_index_Range_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_Range_get_mut + (t : Type0) : core_ops_range_Range usize → slice t → result (option (slice t)) = + admit () // TODO + +// [core::slice::index::Range::get_mut]: backward function 0 +let core_slice_index_Range_get_mut_back + (t : Type0) : + core_ops_range_Range usize → slice t → option (slice t) → result (slice t) = + admit () // TODO + +// [core::slice::index::Range::get_unchecked]: forward function +let core_slice_index_Range_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_Range_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_Range_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_Range_index_mut + (t : Type0) : core_ops_range_Range usize → slice t → result (slice t) = + admit () // TODO + +// [core::slice::index::Range::index_mut]: backward function 0 +let core_slice_index_Range_index_mut_back + (t : Type0) : core_ops_range_Range usize → 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 = + admit () // + +// [core::slice::index::[T]::index_mut]: backward function 0 +let core_slice_index_Slice_index_mut_back + (t idx : Type0) (inst : core_slice_index_SliceIndex idx (slice t)) : + slice t → idx → inst.output → result (slice t) = + admit () // TODO + +// [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 = + admit () // TODO + +// [core::array::[T; N]::index_mut]: backward function 0 +let core_array_Array_index_mut_back + (t idx : Type0) (n : usize) (inst : core_ops_index_IndexMut (slice t) idx) + (a : array t n) (i : idx) (x : inst.indexInst.output) : result (array t n) = + admit () // TODO + +// Trait implementation: [core::slice::index::[T]] +let core_slice_index_Slice_coreopsindexIndexInst (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::private_slice_index::Range] +let core_slice_index_private_slice_index_Range_coresliceindexprivate_slice_indexSealedInst + : core_slice_index_private_slice_index_Sealed (core_ops_range_Range usize) = () + +// Trait implementation: [core::slice::index::Range] +let core_slice_index_Range_coresliceindexSliceIndexInst (t : Type0) : + core_slice_index_SliceIndex (core_ops_range_Range usize) (slice t) = { + sealedInst = core_slice_index_private_slice_index_Range_coresliceindexprivate_slice_indexSealedInst; + output = slice t; + get = core_slice_index_Range_get t; + get_mut = core_slice_index_Range_get_mut t; + get_mut_back = core_slice_index_Range_get_mut_back t; + get_unchecked = core_slice_index_Range_get_unchecked t; + get_unchecked_mut = core_slice_index_Range_get_unchecked_mut t; + index = core_slice_index_Range_index t; + index_mut = core_slice_index_Range_index_mut t; + index_mut_back = core_slice_index_Range_index_mut_back t; +} + +// Trait implementation: [core::slice::index::[T]] +let core_slice_index_Slice_coreopsindexIndexMutInst (t idx : Type0) + (inst : core_slice_index_SliceIndex idx (slice t)) : + core_ops_index_IndexMut (slice t) idx = { + indexInst = core_slice_index_Slice_coreopsindexIndexInst t idx inst; + index_mut = core_slice_index_Slice_index_mut t idx inst; + index_mut_back = core_slice_index_Slice_index_mut_back t idx inst; +} + +// Trait implementation: [core::array::[T; N]] +let core_array_Array_coreopsindexIndexInst (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_array_Array_coreopsindexIndexMutInst (t idx : Type0) (n : usize) + (inst : core_ops_index_IndexMut (slice t) idx) : + core_ops_index_IndexMut (array t n) idx = { + indexInst = core_array_Array_coreopsindexIndexInst t idx n inst.indexInst; + index_mut = core_array_Array_index_mut t idx n inst; + index_mut_back = core_array_Array_index_mut_back 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) = + admit () // TODO + +// [core::slice::index::usize::get_mut]: backward function 0 +let core_slice_index_usize_get_mut_back + (t : Type0) : usize → slice 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 = + admit () // TODO + +// [core::slice::index::usize::index_mut]: backward function 0 +let core_slice_index_usize_index_mut_back + (t : Type0) : usize → slice t → t → result (slice t) = + admit () // TODO + +// Trait implementation: [core::slice::index::private_slice_index::usize] +let core_slice_index_private_slice_index_usize_coresliceindexprivate_slice_indexSealedInst + : core_slice_index_private_slice_index_Sealed usize = () + +// Trait implementation: [core::slice::index::usize] +let core_slice_index_usize_coresliceindexSliceIndexInst (t : Type0) : + core_slice_index_SliceIndex usize (slice t) = { + sealedInst = core_slice_index_private_slice_index_usize_coresliceindexprivate_slice_indexSealedInst; + output = t; + get = core_slice_index_usize_get t; + get_mut = core_slice_index_usize_get_mut t; + get_mut_back = core_slice_index_usize_get_mut_back 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; + index_mut_back = core_slice_index_usize_index_mut_back 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 = + admit () // TODO + +// [alloc::vec::Vec::index_mut]: backward function 0 +let alloc_vec_Vec_index_mut_back + (t idx : Type0) (inst : core_slice_index_SliceIndex idx (slice t)) + (self : alloc_vec_Vec t) (i : idx) (x : 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; + index_mut_back = alloc_vec_Vec_index_mut_back 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_usize_coresliceindexSliceIndexInst a) v i == + alloc_vec_Vec_index_usize v i) + [SMTPat (alloc_vec_Vec_index a usize (core_slice_index_usize_coresliceindexSliceIndexInst 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_usize_coresliceindexSliceIndexInst a) v i == + alloc_vec_Vec_index_usize v i) + [SMTPat (alloc_vec_Vec_index_mut a usize (core_slice_index_usize_coresliceindexSliceIndexInst a) v i)] + = + admit() + +let alloc_vec_Vec_index_mut_back_eq (#a : Type0) (v : alloc_vec_Vec a) (i : usize) (x : a) : + Lemma ( + alloc_vec_Vec_index_mut_back a usize (core_slice_index_usize_coresliceindexSliceIndexInst a) v i x == + alloc_vec_Vec_update_usize v i x) + [SMTPat (alloc_vec_Vec_index_mut_back a usize (core_slice_index_usize_coresliceindexSliceIndexInst a) v i x)] + = + admit() diff --git a/tests/fstar/betree/BetreeMain.Clauses.Template.fst b/tests/fstar/betree/BetreeMain.Clauses.Template.fst index 823df03a..8722f0bf 100644 --- a/tests/fstar/betree/BetreeMain.Clauses.Template.fst +++ b/tests/fstar/betree/BetreeMain.Clauses.Template.fst @@ -8,95 +8,95 @@ open BetreeMain.Types (** [betree_main::betree::List::{1}::len]: decreases clause *) unfold -let betree_list_len_decreases (t : Type0) (self : betree_list_t t) : nat = +let betree_List_len_decreases (t : Type0) (self : betree_List_t t) : nat = admit () (** [betree_main::betree::List::{1}::split_at]: decreases clause *) unfold -let betree_list_split_at_decreases (t : Type0) (self : betree_list_t t) +let betree_List_split_at_decreases (t : Type0) (self : betree_List_t t) (n : u64) : nat = admit () (** [betree_main::betree::List::{2}::partition_at_pivot]: decreases clause *) unfold -let betree_list_partition_at_pivot_decreases (t : Type0) - (self : betree_list_t (u64 & t)) (pivot : u64) : nat = +let betree_List_partition_at_pivot_decreases (t : Type0) + (self : betree_List_t (u64 & t)) (pivot : u64) : nat = admit () (** [betree_main::betree::Node::{5}::lookup_first_message_for_key]: decreases clause *) unfold -let betree_node_lookup_first_message_for_key_decreases (key : u64) - (msgs : betree_list_t (u64 & betree_message_t)) : nat = +let betree_Node_lookup_first_message_for_key_decreases (key : u64) + (msgs : betree_List_t (u64 & betree_Message_t)) : nat = admit () (** [betree_main::betree::Node::{5}::apply_upserts]: decreases clause *) unfold -let betree_node_apply_upserts_decreases - (msgs : betree_list_t (u64 & betree_message_t)) (prev : option u64) +let betree_Node_apply_upserts_decreases + (msgs : betree_List_t (u64 & betree_Message_t)) (prev : option u64) (key : u64) (st : state) : nat = admit () (** [betree_main::betree::Node::{5}::lookup_in_bindings]: decreases clause *) unfold -let betree_node_lookup_in_bindings_decreases (key : u64) - (bindings : betree_list_t (u64 & u64)) : nat = +let betree_Node_lookup_in_bindings_decreases (key : u64) + (bindings : betree_List_t (u64 & u64)) : nat = admit () (** [betree_main::betree::Internal::{4}::lookup_in_children]: decreases clause *) unfold -let betree_internal_lookup_in_children_decreases (self : betree_internal_t) +let betree_Internal_lookup_in_children_decreases (self : betree_Internal_t) (key : u64) (st : state) : nat = admit () (** [betree_main::betree::Node::{5}::lookup]: decreases clause *) unfold -let betree_node_lookup_decreases (self : betree_node_t) (key : u64) +let betree_Node_lookup_decreases (self : betree_Node_t) (key : u64) (st : state) : nat = admit () (** [betree_main::betree::Node::{5}::filter_messages_for_key]: decreases clause *) unfold -let betree_node_filter_messages_for_key_decreases (key : u64) - (msgs : betree_list_t (u64 & betree_message_t)) : nat = +let betree_Node_filter_messages_for_key_decreases (key : u64) + (msgs : betree_List_t (u64 & betree_Message_t)) : nat = admit () (** [betree_main::betree::Node::{5}::lookup_first_message_after_key]: decreases clause *) unfold -let betree_node_lookup_first_message_after_key_decreases (key : u64) - (msgs : betree_list_t (u64 & betree_message_t)) : nat = +let betree_Node_lookup_first_message_after_key_decreases (key : u64) + (msgs : betree_List_t (u64 & betree_Message_t)) : nat = admit () (** [betree_main::betree::Node::{5}::apply_messages_to_internal]: decreases clause *) unfold -let betree_node_apply_messages_to_internal_decreases - (msgs : betree_list_t (u64 & betree_message_t)) - (new_msgs : betree_list_t (u64 & betree_message_t)) : nat = +let betree_Node_apply_messages_to_internal_decreases + (msgs : betree_List_t (u64 & betree_Message_t)) + (new_msgs : betree_List_t (u64 & betree_Message_t)) : nat = admit () (** [betree_main::betree::Node::{5}::lookup_mut_in_bindings]: decreases clause *) unfold -let betree_node_lookup_mut_in_bindings_decreases (key : u64) - (bindings : betree_list_t (u64 & u64)) : nat = +let betree_Node_lookup_mut_in_bindings_decreases (key : u64) + (bindings : betree_List_t (u64 & u64)) : nat = admit () (** [betree_main::betree::Node::{5}::apply_messages_to_leaf]: decreases clause *) unfold -let betree_node_apply_messages_to_leaf_decreases - (bindings : betree_list_t (u64 & u64)) - (new_msgs : betree_list_t (u64 & betree_message_t)) : nat = +let betree_Node_apply_messages_to_leaf_decreases + (bindings : betree_List_t (u64 & u64)) + (new_msgs : betree_List_t (u64 & betree_Message_t)) : nat = admit () (** [betree_main::betree::Internal::{4}::flush]: decreases clause *) unfold -let betree_internal_flush_decreases (self : betree_internal_t) - (params : betree_params_t) (node_id_cnt : betree_node_id_counter_t) - (content : betree_list_t (u64 & betree_message_t)) (st : state) : nat = +let betree_Internal_flush_decreases (self : betree_Internal_t) + (params : betree_Params_t) (node_id_cnt : betree_NodeIdCounter_t) + (content : betree_List_t (u64 & betree_Message_t)) (st : state) : nat = admit () (** [betree_main::betree::Node::{5}::apply_messages]: decreases clause *) unfold -let betree_node_apply_messages_decreases (self : betree_node_t) - (params : betree_params_t) (node_id_cnt : betree_node_id_counter_t) - (msgs : betree_list_t (u64 & betree_message_t)) (st : state) : nat = +let betree_Node_apply_messages_decreases (self : betree_Node_t) + (params : betree_Params_t) (node_id_cnt : betree_NodeIdCounter_t) + (msgs : betree_List_t (u64 & betree_Message_t)) (st : state) : nat = admit () diff --git a/tests/fstar/betree/BetreeMain.Clauses.fst b/tests/fstar/betree/BetreeMain.Clauses.fst index 07484711..cda7b920 100644 --- a/tests/fstar/betree/BetreeMain.Clauses.fst +++ b/tests/fstar/betree/BetreeMain.Clauses.fst @@ -8,8 +8,8 @@ open BetreeMain.Types (*** Well-founded relations *) (* We had a few issues when proving termination of the mutually recursive functions: - * - betree_internal_flush - * - betree_node_apply_messages + * - betree_Internal_flush + * - betree_Node_apply_messages * * The quantity which effectively decreases is: * (betree_size, messages_length) @@ -103,108 +103,108 @@ let wf_nat_pair_lem (p0 p1 : nat_pair) : (** [betree_main::betree::List::{1}::len]: decreases clause *) unfold -let betree_list_len_decreases (t : Type0) (self : betree_list_t t) : betree_list_t t = +let betree_List_len_decreases (t : Type0) (self : betree_List_t t) : betree_List_t t = self (** [betree_main::betree::List::{1}::split_at]: decreases clause *) unfold -let betree_list_split_at_decreases (t : Type0) (self : betree_list_t t) +let betree_List_split_at_decreases (t : Type0) (self : betree_List_t t) (n : u64) : nat = n (** [betree_main::betree::List::{2}::partition_at_pivot]: decreases clause *) unfold -let betree_list_partition_at_pivot_decreases (t : Type0) - (self : betree_list_t (u64 & t)) (pivot : u64) : betree_list_t (u64 & t) = +let betree_List_partition_at_pivot_decreases (t : Type0) + (self : betree_List_t (u64 & t)) (pivot : u64) : betree_List_t (u64 & t) = self (** [betree_main::betree::Node::{5}::lookup_in_bindings]: decreases clause *) unfold -let betree_node_lookup_in_bindings_decreases (key : u64) - (bindings : betree_list_t (u64 & u64)) : betree_list_t (u64 & u64) = +let betree_Node_lookup_in_bindings_decreases (key : u64) + (bindings : betree_List_t (u64 & u64)) : betree_List_t (u64 & u64) = bindings (** [betree_main::betree::Node::{5}::lookup_first_message_for_key]: decreases clause *) unfold -let betree_node_lookup_first_message_for_key_decreases (key : u64) - (msgs : betree_list_t (u64 & betree_message_t)) : betree_list_t (u64 & betree_message_t) = +let betree_Node_lookup_first_message_for_key_decreases (key : u64) + (msgs : betree_List_t (u64 & betree_Message_t)) : betree_List_t (u64 & betree_Message_t) = msgs (** [betree_main::betree::Node::{5}::apply_upserts]: decreases clause *) unfold -let betree_node_apply_upserts_decreases - (msgs : betree_list_t (u64 & betree_message_t)) (prev : option u64) - (key : u64) (st : state) : betree_list_t (u64 & betree_message_t) = +let betree_Node_apply_upserts_decreases + (msgs : betree_List_t (u64 & betree_Message_t)) (prev : option u64) + (key : u64) (st : state) : betree_List_t (u64 & betree_Message_t) = msgs (** [betree_main::betree::Internal::{4}::lookup_in_children]: decreases clause *) unfold -let betree_internal_lookup_in_children_decreases (self : betree_internal_t) - (key : u64) (st : state) : betree_internal_t = +let betree_Internal_lookup_in_children_decreases (self : betree_Internal_t) + (key : u64) (st : state) : betree_Internal_t = self (** [betree_main::betree::Node::{5}::lookup]: decreases clause *) unfold -let betree_node_lookup_decreases (self : betree_node_t) (key : u64) - (st : state) : betree_node_t = +let betree_Node_lookup_decreases (self : betree_Node_t) (key : u64) + (st : state) : betree_Node_t = self (** [betree_main::betree::Node::{5}::lookup_mut_in_bindings]: decreases clause *) unfold -let betree_node_lookup_mut_in_bindings_decreases (key : u64) - (bindings : betree_list_t (u64 & u64)) : betree_list_t (u64 & u64) = +let betree_Node_lookup_mut_in_bindings_decreases (key : u64) + (bindings : betree_List_t (u64 & u64)) : betree_List_t (u64 & u64) = bindings unfold -let betree_node_apply_messages_to_leaf_decreases - (bindings : betree_list_t (u64 & u64)) - (new_msgs : betree_list_t (u64 & betree_message_t)) : betree_list_t (u64 & betree_message_t) = +let betree_Node_apply_messages_to_leaf_decreases + (bindings : betree_List_t (u64 & u64)) + (new_msgs : betree_List_t (u64 & betree_Message_t)) : betree_List_t (u64 & betree_Message_t) = new_msgs (** [betree_main::betree::Node::{5}::filter_messages_for_key]: decreases clause *) unfold -let betree_node_filter_messages_for_key_decreases (key : u64) - (msgs : betree_list_t (u64 & betree_message_t)) : betree_list_t (u64 & betree_message_t) = +let betree_Node_filter_messages_for_key_decreases (key : u64) + (msgs : betree_List_t (u64 & betree_Message_t)) : betree_List_t (u64 & betree_Message_t) = msgs (** [betree_main::betree::Node::{5}::lookup_first_message_after_key]: decreases clause *) unfold -let betree_node_lookup_first_message_after_key_decreases (key : u64) - (msgs : betree_list_t (u64 & betree_message_t)) : betree_list_t (u64 & betree_message_t) = +let betree_Node_lookup_first_message_after_key_decreases (key : u64) + (msgs : betree_List_t (u64 & betree_Message_t)) : betree_List_t (u64 & betree_Message_t) = msgs -let betree_node_apply_messages_to_internal_decreases - (msgs : betree_list_t (u64 & betree_message_t)) - (new_msgs : betree_list_t (u64 & betree_message_t)) : betree_list_t (u64 & betree_message_t) = +let betree_Node_apply_messages_to_internal_decreases + (msgs : betree_List_t (u64 & betree_Message_t)) + (new_msgs : betree_List_t (u64 & betree_Message_t)) : betree_List_t (u64 & betree_Message_t) = new_msgs (*** Decrease clauses - nat_pair *) /// The following decrease clauses use the [nat_pair] definition and the well-founded /// relation proven above. -let rec betree_size (bt : betree_node_t) : nat = +let rec betree_size (bt : betree_Node_t) : nat = match bt with - | BetreeNodeInternal node -> 1 + betree_internal_size node - | BetreeNodeLeaf _ -> 1 + | Betree_Node_Internal node -> 1 + betree_Internal_size node + | Betree_Node_Leaf _ -> 1 -and betree_internal_size (node : betree_internal_t) : nat = - 1 + betree_size node.betree_internal_left + betree_size node.betree_internal_right +and betree_Internal_size (node : betree_Internal_t) : nat = + 1 + betree_size node.left + betree_size node.right -let rec betree_list_len (#a : Type0) (ls : betree_list_t a) : nat = +let rec betree_List_len (#a : Type0) (ls : betree_List_t a) : nat = match ls with - | BetreeListCons _ tl -> 1 + betree_list_len tl - | BetreeListNil -> 0 + | Betree_List_Cons _ tl -> 1 + betree_List_len tl + | Betree_List_Nil -> 0 (** [betree_main::betree::Internal::{4}::flush]: decreases clause *) unfold -let betree_internal_flush_decreases (self : betree_internal_t) - (params : betree_params_t) (node_id_cnt : betree_node_id_counter_t) - (content : betree_list_t (u64 & betree_message_t)) (st : state) : nat_pair = - (|betree_internal_size self, 0|) +let betree_Internal_flush_decreases (self : betree_Internal_t) + (params : betree_Params_t) (node_id_cnt : betree_NodeIdCounter_t) + (content : betree_List_t (u64 & betree_Message_t)) (st : state) : nat_pair = + (|betree_Internal_size self, 0|) (** [betree_main::betree::Node::{5}::apply_messages]: decreases clause *) unfold -let betree_node_apply_messages_decreases (self : betree_node_t) - (params : betree_params_t) (node_id_cnt : betree_node_id_counter_t) - (msgs : betree_list_t (u64 & betree_message_t)) (st : state) : nat_pair = - (|betree_size self, betree_list_len msgs|) +let betree_Node_apply_messages_decreases (self : betree_Node_t) + (params : betree_Params_t) (node_id_cnt : betree_NodeIdCounter_t) + (msgs : betree_List_t (u64 & betree_Message_t)) (st : state) : nat_pair = + (|betree_size self, betree_List_len msgs|) diff --git a/tests/fstar/betree/BetreeMain.Funs.fst b/tests/fstar/betree/BetreeMain.Funs.fst index 847dc865..d2bf5c7c 100644 --- a/tests/fstar/betree/BetreeMain.Funs.fst +++ b/tests/fstar/betree/BetreeMain.Funs.fst @@ -9,35 +9,35 @@ include BetreeMain.Clauses #set-options "--z3rlimit 50 --fuel 1 --ifuel 1" (** [betree_main::betree::load_internal_node]: forward function *) -let betree_load_internal_node_fwd +let betree_load_internal_node (id : u64) (st : state) : - result (state & (betree_list_t (u64 & betree_message_t))) + result (state & (betree_List_t (u64 & betree_Message_t))) = - betree_utils_load_internal_node_fwd id st + betree_utils_load_internal_node id st (** [betree_main::betree::store_internal_node]: forward function *) -let betree_store_internal_node_fwd - (id : u64) (content : betree_list_t (u64 & betree_message_t)) (st : state) : +let betree_store_internal_node + (id : u64) (content : betree_List_t (u64 & betree_Message_t)) (st : state) : result (state & unit) = - let* (st0, _) = betree_utils_store_internal_node_fwd id content st in + let* (st0, _) = betree_utils_store_internal_node id content st in Return (st0, ()) (** [betree_main::betree::load_leaf_node]: forward function *) -let betree_load_leaf_node_fwd - (id : u64) (st : state) : result (state & (betree_list_t (u64 & u64))) = - betree_utils_load_leaf_node_fwd id st +let betree_load_leaf_node + (id : u64) (st : state) : result (state & (betree_List_t (u64 & u64))) = + betree_utils_load_leaf_node id st (** [betree_main::betree::store_leaf_node]: forward function *) -let betree_store_leaf_node_fwd - (id : u64) (content : betree_list_t (u64 & u64)) (st : state) : +let betree_store_leaf_node + (id : u64) (content : betree_List_t (u64 & u64)) (st : state) : result (state & unit) = - let* (st0, _) = betree_utils_store_leaf_node_fwd id content st in + let* (st0, _) = betree_utils_store_leaf_node id content st in Return (st0, ()) (** [betree_main::betree::fresh_node_id]: forward function *) -let betree_fresh_node_id_fwd (counter : u64) : result u64 = +let betree_fresh_node_id (counter : u64) : result u64 = let* _ = u64_add counter 1 in Return counter (** [betree_main::betree::fresh_node_id]: backward function 0 *) @@ -45,976 +45,909 @@ let betree_fresh_node_id_back (counter : u64) : result u64 = u64_add counter 1 (** [betree_main::betree::NodeIdCounter::{0}::new]: forward function *) -let betree_node_id_counter_new_fwd : result betree_node_id_counter_t = - Return { betree_node_id_counter_next_node_id = 0 } +let betree_NodeIdCounter_new : result betree_NodeIdCounter_t = + Return { next_node_id = 0 } (** [betree_main::betree::NodeIdCounter::{0}::fresh_id]: forward function *) -let betree_node_id_counter_fresh_id_fwd - (self : betree_node_id_counter_t) : result u64 = - let* _ = u64_add self.betree_node_id_counter_next_node_id 1 in - Return self.betree_node_id_counter_next_node_id +let betree_NodeIdCounter_fresh_id + (self : betree_NodeIdCounter_t) : result u64 = + let* _ = u64_add self.next_node_id 1 in Return self.next_node_id (** [betree_main::betree::NodeIdCounter::{0}::fresh_id]: backward function 0 *) -let betree_node_id_counter_fresh_id_back - (self : betree_node_id_counter_t) : result betree_node_id_counter_t = - let* i = u64_add self.betree_node_id_counter_next_node_id 1 in - Return { betree_node_id_counter_next_node_id = i } - -(** [core::num::u64::{9}::MAX] *) -let core_num_u64_max_body : result u64 = Return 18446744073709551615 -let core_num_u64_max_c : u64 = eval_global core_num_u64_max_body +let betree_NodeIdCounter_fresh_id_back + (self : betree_NodeIdCounter_t) : result betree_NodeIdCounter_t = + let* i = u64_add self.next_node_id 1 in Return { next_node_id = i } (** [betree_main::betree::upsert_update]: forward function *) -let betree_upsert_update_fwd - (prev : option u64) (st : betree_upsert_fun_state_t) : result u64 = +let betree_upsert_update + (prev : option u64) (st : betree_UpsertFunState_t) : result u64 = begin match prev with | None -> begin match st with - | BetreeUpsertFunStateAdd v -> Return v - | BetreeUpsertFunStateSub i -> Return 0 + | Betree_UpsertFunState_Add v -> Return v + | Betree_UpsertFunState_Sub i -> Return 0 end | Some prev0 -> begin match st with - | BetreeUpsertFunStateAdd v -> - let* margin = u64_sub core_num_u64_max_c prev0 in - if margin >= v then u64_add prev0 v else Return core_num_u64_max_c - | BetreeUpsertFunStateSub v -> + | Betree_UpsertFunState_Add v -> + let* margin = u64_sub core_u64_max prev0 in + if margin >= v then u64_add prev0 v else Return core_u64_max + | Betree_UpsertFunState_Sub v -> if prev0 >= v then u64_sub prev0 v else Return 0 end end (** [betree_main::betree::List::{1}::len]: forward function *) -let rec betree_list_len_fwd - (t : Type0) (self : betree_list_t t) : - Tot (result u64) (decreases (betree_list_len_decreases t self)) +let rec betree_List_len + (t : Type0) (self : betree_List_t t) : + Tot (result u64) (decreases (betree_List_len_decreases t self)) = begin match self with - | BetreeListCons x tl -> let* i = betree_list_len_fwd t tl in u64_add 1 i - | BetreeListNil -> Return 0 + | Betree_List_Cons x tl -> let* i = betree_List_len t tl in u64_add 1 i + | Betree_List_Nil -> Return 0 end (** [betree_main::betree::List::{1}::split_at]: forward function *) -let rec betree_list_split_at_fwd - (t : Type0) (self : betree_list_t t) (n : u64) : - Tot (result ((betree_list_t t) & (betree_list_t t))) - (decreases (betree_list_split_at_decreases t self n)) +let rec betree_List_split_at + (t : Type0) (self : betree_List_t t) (n : u64) : + Tot (result ((betree_List_t t) & (betree_List_t t))) + (decreases (betree_List_split_at_decreases t self n)) = if n = 0 - then Return (BetreeListNil, self) + then Return (Betree_List_Nil, self) else begin match self with - | BetreeListCons hd tl -> + | Betree_List_Cons hd tl -> let* i = u64_sub n 1 in - let* p = betree_list_split_at_fwd t tl i in + let* p = betree_List_split_at t tl i in let (ls0, ls1) = p in let l = ls0 in - Return (BetreeListCons hd l, ls1) - | BetreeListNil -> Fail Failure + Return (Betree_List_Cons hd l, ls1) + | Betree_List_Nil -> Fail Failure end (** [betree_main::betree::List::{1}::push_front]: merged forward/backward function (there is a single backward function, and the forward function returns ()) *) -let betree_list_push_front_fwd_back - (t : Type0) (self : betree_list_t t) (x : t) : result (betree_list_t t) = - let tl = mem_replace_fwd (betree_list_t t) self BetreeListNil in +let betree_List_push_front + (t : Type0) (self : betree_List_t t) (x : t) : result (betree_List_t t) = + let tl = core_mem_replace (betree_List_t t) self Betree_List_Nil in let l = tl in - Return (BetreeListCons x l) + Return (Betree_List_Cons x l) (** [betree_main::betree::List::{1}::pop_front]: forward function *) -let betree_list_pop_front_fwd (t : Type0) (self : betree_list_t t) : result t = - let ls = mem_replace_fwd (betree_list_t t) self BetreeListNil in +let betree_List_pop_front (t : Type0) (self : betree_List_t t) : result t = + let ls = core_mem_replace (betree_List_t t) self Betree_List_Nil in begin match ls with - | BetreeListCons x tl -> Return x - | BetreeListNil -> Fail Failure + | Betree_List_Cons x tl -> Return x + | Betree_List_Nil -> Fail Failure end (** [betree_main::betree::List::{1}::pop_front]: backward function 0 *) -let betree_list_pop_front_back - (t : Type0) (self : betree_list_t t) : result (betree_list_t t) = - let ls = mem_replace_fwd (betree_list_t t) self BetreeListNil in +let betree_List_pop_front_back + (t : Type0) (self : betree_List_t t) : result (betree_List_t t) = + let ls = core_mem_replace (betree_List_t t) self Betree_List_Nil in begin match ls with - | BetreeListCons x tl -> Return tl - | BetreeListNil -> Fail Failure + | Betree_List_Cons x tl -> Return tl + | Betree_List_Nil -> Fail Failure end (** [betree_main::betree::List::{1}::hd]: forward function *) -let betree_list_hd_fwd (t : Type0) (self : betree_list_t t) : result t = +let betree_List_hd (t : Type0) (self : betree_List_t t) : result t = begin match self with - | BetreeListCons hd l -> Return hd - | BetreeListNil -> Fail Failure + | Betree_List_Cons hd l -> Return hd + | Betree_List_Nil -> Fail Failure end (** [betree_main::betree::List::{2}::head_has_key]: forward function *) -let betree_list_head_has_key_fwd - (t : Type0) (self : betree_list_t (u64 & t)) (key : u64) : result bool = +let betree_List_head_has_key + (t : Type0) (self : betree_List_t (u64 & t)) (key : u64) : result bool = begin match self with - | BetreeListCons hd l -> let (i, _) = hd in Return (i = key) - | BetreeListNil -> Return false + | Betree_List_Cons hd l -> let (i, _) = hd in Return (i = key) + | Betree_List_Nil -> Return false end (** [betree_main::betree::List::{2}::partition_at_pivot]: forward function *) -let rec betree_list_partition_at_pivot_fwd - (t : Type0) (self : betree_list_t (u64 & t)) (pivot : u64) : - Tot (result ((betree_list_t (u64 & t)) & (betree_list_t (u64 & t)))) - (decreases (betree_list_partition_at_pivot_decreases t self pivot)) +let rec betree_List_partition_at_pivot + (t : Type0) (self : betree_List_t (u64 & t)) (pivot : u64) : + Tot (result ((betree_List_t (u64 & t)) & (betree_List_t (u64 & t)))) + (decreases (betree_List_partition_at_pivot_decreases t self pivot)) = begin match self with - | BetreeListCons hd tl -> + | Betree_List_Cons hd tl -> let (i, x) = hd in if i >= pivot - then Return (BetreeListNil, BetreeListCons (i, x) tl) + then Return (Betree_List_Nil, Betree_List_Cons (i, x) tl) else - let* p = betree_list_partition_at_pivot_fwd t tl pivot in + let* p = betree_List_partition_at_pivot t tl pivot in let (ls0, ls1) = p in let l = ls0 in - Return (BetreeListCons (i, x) l, ls1) - | BetreeListNil -> Return (BetreeListNil, BetreeListNil) + Return (Betree_List_Cons (i, x) l, ls1) + | Betree_List_Nil -> Return (Betree_List_Nil, Betree_List_Nil) end (** [betree_main::betree::Leaf::{3}::split]: forward function *) -let betree_leaf_split_fwd - (self : betree_leaf_t) (content : betree_list_t (u64 & u64)) - (params : betree_params_t) (node_id_cnt : betree_node_id_counter_t) +let betree_Leaf_split + (self : betree_Leaf_t) (content : betree_List_t (u64 & u64)) + (params : betree_Params_t) (node_id_cnt : betree_NodeIdCounter_t) (st : state) : - result (state & betree_internal_t) + result (state & betree_Internal_t) = - let* p = - betree_list_split_at_fwd (u64 & u64) content - params.betree_params_split_size in + let* p = betree_List_split_at (u64 & u64) content params.split_size in let (content0, content1) = p in - let* p0 = betree_list_hd_fwd (u64 & u64) content1 in + let* p0 = betree_List_hd (u64 & u64) content1 in let (pivot, _) = p0 in - let* id0 = betree_node_id_counter_fresh_id_fwd node_id_cnt in - let* node_id_cnt0 = betree_node_id_counter_fresh_id_back node_id_cnt in - let* id1 = betree_node_id_counter_fresh_id_fwd node_id_cnt0 in - let* (st0, _) = betree_store_leaf_node_fwd id0 content0 st in - let* (st1, _) = betree_store_leaf_node_fwd id1 content1 st0 in - let n = BetreeNodeLeaf - { betree_leaf_id = id0; betree_leaf_size = params.betree_params_split_size - } in - let n0 = BetreeNodeLeaf - { betree_leaf_id = id1; betree_leaf_size = params.betree_params_split_size - } in - Return (st1, - { - betree_internal_id = self.betree_leaf_id; - betree_internal_pivot = pivot; - betree_internal_left = n; - betree_internal_right = n0 - }) + let* id0 = betree_NodeIdCounter_fresh_id node_id_cnt in + let* node_id_cnt0 = betree_NodeIdCounter_fresh_id_back node_id_cnt in + let* id1 = betree_NodeIdCounter_fresh_id node_id_cnt0 in + let* (st0, _) = betree_store_leaf_node id0 content0 st in + let* (st1, _) = betree_store_leaf_node id1 content1 st0 in + let n = Betree_Node_Leaf { id = id0; size = params.split_size } in + let n0 = Betree_Node_Leaf { id = id1; size = params.split_size } in + Return (st1, { id = self.id; pivot = pivot; left = n; right = n0 }) (** [betree_main::betree::Leaf::{3}::split]: backward function 2 *) -let betree_leaf_split_back - (self : betree_leaf_t) (content : betree_list_t (u64 & u64)) - (params : betree_params_t) (node_id_cnt : betree_node_id_counter_t) +let betree_Leaf_split_back + (self : betree_Leaf_t) (content : betree_List_t (u64 & u64)) + (params : betree_Params_t) (node_id_cnt : betree_NodeIdCounter_t) (st : state) : - result betree_node_id_counter_t + result betree_NodeIdCounter_t = - let* p = - betree_list_split_at_fwd (u64 & u64) content - params.betree_params_split_size in + let* p = betree_List_split_at (u64 & u64) content params.split_size in let (content0, content1) = p in - let* _ = betree_list_hd_fwd (u64 & u64) content1 in - let* id0 = betree_node_id_counter_fresh_id_fwd node_id_cnt in - let* node_id_cnt0 = betree_node_id_counter_fresh_id_back node_id_cnt in - let* id1 = betree_node_id_counter_fresh_id_fwd node_id_cnt0 in - let* (st0, _) = betree_store_leaf_node_fwd id0 content0 st in - let* _ = betree_store_leaf_node_fwd id1 content1 st0 in - betree_node_id_counter_fresh_id_back node_id_cnt0 + let* _ = betree_List_hd (u64 & u64) content1 in + let* id0 = betree_NodeIdCounter_fresh_id node_id_cnt in + let* node_id_cnt0 = betree_NodeIdCounter_fresh_id_back node_id_cnt in + let* id1 = betree_NodeIdCounter_fresh_id node_id_cnt0 in + let* (st0, _) = betree_store_leaf_node id0 content0 st in + let* _ = betree_store_leaf_node id1 content1 st0 in + betree_NodeIdCounter_fresh_id_back node_id_cnt0 (** [betree_main::betree::Node::{5}::lookup_first_message_for_key]: forward function *) -let rec betree_node_lookup_first_message_for_key_fwd - (key : u64) (msgs : betree_list_t (u64 & betree_message_t)) : - Tot (result (betree_list_t (u64 & betree_message_t))) - (decreases (betree_node_lookup_first_message_for_key_decreases key msgs)) +let rec betree_Node_lookup_first_message_for_key + (key : u64) (msgs : betree_List_t (u64 & betree_Message_t)) : + Tot (result (betree_List_t (u64 & betree_Message_t))) + (decreases (betree_Node_lookup_first_message_for_key_decreases key msgs)) = begin match msgs with - | BetreeListCons x next_msgs -> + | Betree_List_Cons x next_msgs -> let (i, m) = x in if i >= key - then Return (BetreeListCons (i, m) next_msgs) - else betree_node_lookup_first_message_for_key_fwd key next_msgs - | BetreeListNil -> Return BetreeListNil + then Return (Betree_List_Cons (i, m) next_msgs) + else betree_Node_lookup_first_message_for_key key next_msgs + | Betree_List_Nil -> Return Betree_List_Nil end (** [betree_main::betree::Node::{5}::lookup_first_message_for_key]: backward function 0 *) -let rec betree_node_lookup_first_message_for_key_back - (key : u64) (msgs : betree_list_t (u64 & betree_message_t)) - (ret : betree_list_t (u64 & betree_message_t)) : - Tot (result (betree_list_t (u64 & betree_message_t))) - (decreases (betree_node_lookup_first_message_for_key_decreases key msgs)) +let rec betree_Node_lookup_first_message_for_key_back + (key : u64) (msgs : betree_List_t (u64 & betree_Message_t)) + (ret : betree_List_t (u64 & betree_Message_t)) : + Tot (result (betree_List_t (u64 & betree_Message_t))) + (decreases (betree_Node_lookup_first_message_for_key_decreases key msgs)) = begin match msgs with - | BetreeListCons x next_msgs -> + | Betree_List_Cons x next_msgs -> let (i, m) = x in if i >= key then Return ret else let* next_msgs0 = - betree_node_lookup_first_message_for_key_back key next_msgs ret in - Return (BetreeListCons (i, m) next_msgs0) - | BetreeListNil -> Return ret + betree_Node_lookup_first_message_for_key_back key next_msgs ret in + Return (Betree_List_Cons (i, m) next_msgs0) + | Betree_List_Nil -> Return ret end (** [betree_main::betree::Node::{5}::apply_upserts]: forward function *) -let rec betree_node_apply_upserts_fwd - (msgs : betree_list_t (u64 & betree_message_t)) (prev : option u64) +let rec betree_Node_apply_upserts + (msgs : betree_List_t (u64 & betree_Message_t)) (prev : option u64) (key : u64) (st : state) : Tot (result (state & u64)) - (decreases (betree_node_apply_upserts_decreases msgs prev key st)) + (decreases (betree_Node_apply_upserts_decreases msgs prev key st)) = - let* b = betree_list_head_has_key_fwd betree_message_t msgs key in + let* b = betree_List_head_has_key betree_Message_t msgs key in if b then - let* msg = betree_list_pop_front_fwd (u64 & betree_message_t) msgs in + let* msg = betree_List_pop_front (u64 & betree_Message_t) msgs in let (_, m) = msg in begin match m with - | BetreeMessageInsert i -> Fail Failure - | BetreeMessageDelete -> Fail Failure - | BetreeMessageUpsert s -> - let* v = betree_upsert_update_fwd prev s in - let* msgs0 = betree_list_pop_front_back (u64 & betree_message_t) msgs in - betree_node_apply_upserts_fwd msgs0 (Some v) key st + | Betree_Message_Insert i -> Fail Failure + | Betree_Message_Delete -> Fail Failure + | Betree_Message_Upsert s -> + let* v = betree_upsert_update prev s in + let* msgs0 = betree_List_pop_front_back (u64 & betree_Message_t) msgs in + betree_Node_apply_upserts msgs0 (Some v) key st end else - let* (st0, v) = core_option_option_unwrap_fwd u64 prev st in + let* (st0, v) = core_option_Option_unwrap u64 prev st in let* _ = - betree_list_push_front_fwd_back (u64 & betree_message_t) msgs (key, - BetreeMessageInsert v) in + betree_List_push_front (u64 & betree_Message_t) msgs (key, + Betree_Message_Insert v) in Return (st0, v) (** [betree_main::betree::Node::{5}::apply_upserts]: backward function 0 *) -let rec betree_node_apply_upserts_back - (msgs : betree_list_t (u64 & betree_message_t)) (prev : option u64) +let rec betree_Node_apply_upserts_back + (msgs : betree_List_t (u64 & betree_Message_t)) (prev : option u64) (key : u64) (st : state) : - Tot (result (betree_list_t (u64 & betree_message_t))) - (decreases (betree_node_apply_upserts_decreases msgs prev key st)) + Tot (result (betree_List_t (u64 & betree_Message_t))) + (decreases (betree_Node_apply_upserts_decreases msgs prev key st)) = - let* b = betree_list_head_has_key_fwd betree_message_t msgs key in + let* b = betree_List_head_has_key betree_Message_t msgs key in if b then - let* msg = betree_list_pop_front_fwd (u64 & betree_message_t) msgs in + let* msg = betree_List_pop_front (u64 & betree_Message_t) msgs in let (_, m) = msg in begin match m with - | BetreeMessageInsert i -> Fail Failure - | BetreeMessageDelete -> Fail Failure - | BetreeMessageUpsert s -> - let* v = betree_upsert_update_fwd prev s in - let* msgs0 = betree_list_pop_front_back (u64 & betree_message_t) msgs in - betree_node_apply_upserts_back msgs0 (Some v) key st + | Betree_Message_Insert i -> Fail Failure + | Betree_Message_Delete -> Fail Failure + | Betree_Message_Upsert s -> + let* v = betree_upsert_update prev s in + let* msgs0 = betree_List_pop_front_back (u64 & betree_Message_t) msgs in + betree_Node_apply_upserts_back msgs0 (Some v) key st end else - let* (_, v) = core_option_option_unwrap_fwd u64 prev st in - betree_list_push_front_fwd_back (u64 & betree_message_t) msgs (key, - BetreeMessageInsert v) + let* (_, v) = core_option_Option_unwrap u64 prev st in + betree_List_push_front (u64 & betree_Message_t) msgs (key, + Betree_Message_Insert v) (** [betree_main::betree::Node::{5}::lookup_in_bindings]: forward function *) -let rec betree_node_lookup_in_bindings_fwd - (key : u64) (bindings : betree_list_t (u64 & u64)) : +let rec betree_Node_lookup_in_bindings + (key : u64) (bindings : betree_List_t (u64 & u64)) : Tot (result (option u64)) - (decreases (betree_node_lookup_in_bindings_decreases key bindings)) + (decreases (betree_Node_lookup_in_bindings_decreases key bindings)) = begin match bindings with - | BetreeListCons hd tl -> + | Betree_List_Cons hd tl -> let (i, i0) = hd in if i = key then Return (Some i0) - else - if i > key - then Return None - else betree_node_lookup_in_bindings_fwd key tl - | BetreeListNil -> Return None + else if i > key then Return None else betree_Node_lookup_in_bindings key tl + | Betree_List_Nil -> Return None end (** [betree_main::betree::Internal::{4}::lookup_in_children]: forward function *) -let rec betree_internal_lookup_in_children_fwd - (self : betree_internal_t) (key : u64) (st : state) : +let rec betree_Internal_lookup_in_children + (self : betree_Internal_t) (key : u64) (st : state) : Tot (result (state & (option u64))) - (decreases (betree_internal_lookup_in_children_decreases self key st)) + (decreases (betree_Internal_lookup_in_children_decreases self key st)) = - if key < self.betree_internal_pivot - then betree_node_lookup_fwd self.betree_internal_left key st - else betree_node_lookup_fwd self.betree_internal_right key st + if key < self.pivot + then betree_Node_lookup self.left key st + else betree_Node_lookup self.right key st (** [betree_main::betree::Internal::{4}::lookup_in_children]: backward function 0 *) -and betree_internal_lookup_in_children_back - (self : betree_internal_t) (key : u64) (st : state) : - Tot (result betree_internal_t) - (decreases (betree_internal_lookup_in_children_decreases self key st)) +and betree_Internal_lookup_in_children_back + (self : betree_Internal_t) (key : u64) (st : state) : + Tot (result betree_Internal_t) + (decreases (betree_Internal_lookup_in_children_decreases self key st)) = - if key < self.betree_internal_pivot + if key < self.pivot then - let* n = betree_node_lookup_back self.betree_internal_left key st in - Return { self with betree_internal_left = n } + let* n = betree_Node_lookup_back self.left key st in + Return { self with left = n } else - let* n = betree_node_lookup_back self.betree_internal_right key st in - Return { self with betree_internal_right = n } + let* n = betree_Node_lookup_back self.right key st in + Return { self with right = n } (** [betree_main::betree::Node::{5}::lookup]: forward function *) -and betree_node_lookup_fwd - (self : betree_node_t) (key : u64) (st : state) : +and betree_Node_lookup + (self : betree_Node_t) (key : u64) (st : state) : Tot (result (state & (option u64))) - (decreases (betree_node_lookup_decreases self key st)) + (decreases (betree_Node_lookup_decreases self key st)) = begin match self with - | BetreeNodeInternal node -> - let* (st0, msgs) = betree_load_internal_node_fwd node.betree_internal_id st - in - let* pending = betree_node_lookup_first_message_for_key_fwd key msgs in + | Betree_Node_Internal node -> + let* (st0, msgs) = betree_load_internal_node node.id st in + let* pending = betree_Node_lookup_first_message_for_key key msgs in begin match pending with - | BetreeListCons p l -> + | Betree_List_Cons p l -> let (k, msg) = p in if k <> key then - let* (st1, opt) = betree_internal_lookup_in_children_fwd node key st0 - in + let* (st1, o) = betree_Internal_lookup_in_children node key st0 in let* _ = - betree_node_lookup_first_message_for_key_back key msgs - (BetreeListCons (k, msg) l) in - Return (st1, opt) + betree_Node_lookup_first_message_for_key_back key msgs + (Betree_List_Cons (k, msg) l) in + Return (st1, o) else begin match msg with - | BetreeMessageInsert v -> + | Betree_Message_Insert v -> let* _ = - betree_node_lookup_first_message_for_key_back key msgs - (BetreeListCons (k, BetreeMessageInsert v) l) in + betree_Node_lookup_first_message_for_key_back key msgs + (Betree_List_Cons (k, Betree_Message_Insert v) l) in Return (st0, Some v) - | BetreeMessageDelete -> + | Betree_Message_Delete -> let* _ = - betree_node_lookup_first_message_for_key_back key msgs - (BetreeListCons (k, BetreeMessageDelete) l) in + betree_Node_lookup_first_message_for_key_back key msgs + (Betree_List_Cons (k, Betree_Message_Delete) l) in Return (st0, None) - | BetreeMessageUpsert ufs -> - let* (st1, v) = betree_internal_lookup_in_children_fwd node key st0 - in + | Betree_Message_Upsert ufs -> + let* (st1, v) = betree_Internal_lookup_in_children node key st0 in let* (st2, v0) = - betree_node_apply_upserts_fwd (BetreeListCons (k, - BetreeMessageUpsert ufs) l) v key st1 in - let* node0 = betree_internal_lookup_in_children_back node key st0 in + betree_Node_apply_upserts (Betree_List_Cons (k, + Betree_Message_Upsert ufs) l) v key st1 in + let* node0 = betree_Internal_lookup_in_children_back node key st0 in let* pending0 = - betree_node_apply_upserts_back (BetreeListCons (k, - BetreeMessageUpsert ufs) l) v key st1 in + betree_Node_apply_upserts_back (Betree_List_Cons (k, + Betree_Message_Upsert ufs) l) v key st1 in let* msgs0 = - betree_node_lookup_first_message_for_key_back key msgs pending0 in - let* (st3, _) = - betree_store_internal_node_fwd node0.betree_internal_id msgs0 st2 - in + betree_Node_lookup_first_message_for_key_back key msgs pending0 in + let* (st3, _) = betree_store_internal_node node0.id msgs0 st2 in Return (st3, Some v0) end - | BetreeListNil -> - let* (st1, opt) = betree_internal_lookup_in_children_fwd node key st0 in + | Betree_List_Nil -> + let* (st1, o) = betree_Internal_lookup_in_children node key st0 in let* _ = - betree_node_lookup_first_message_for_key_back key msgs BetreeListNil in - Return (st1, opt) + betree_Node_lookup_first_message_for_key_back key msgs Betree_List_Nil + in + Return (st1, o) end - | BetreeNodeLeaf node -> - let* (st0, bindings) = betree_load_leaf_node_fwd node.betree_leaf_id st in - let* opt = betree_node_lookup_in_bindings_fwd key bindings in - Return (st0, opt) + | Betree_Node_Leaf node -> + let* (st0, bindings) = betree_load_leaf_node node.id st in + let* o = betree_Node_lookup_in_bindings key bindings in + Return (st0, o) end (** [betree_main::betree::Node::{5}::lookup]: backward function 0 *) -and betree_node_lookup_back - (self : betree_node_t) (key : u64) (st : state) : - Tot (result betree_node_t) - (decreases (betree_node_lookup_decreases self key st)) +and betree_Node_lookup_back + (self : betree_Node_t) (key : u64) (st : state) : + Tot (result betree_Node_t) + (decreases (betree_Node_lookup_decreases self key st)) = begin match self with - | BetreeNodeInternal node -> - let* (st0, msgs) = betree_load_internal_node_fwd node.betree_internal_id st - in - let* pending = betree_node_lookup_first_message_for_key_fwd key msgs in + | Betree_Node_Internal node -> + let* (st0, msgs) = betree_load_internal_node node.id st in + let* pending = betree_Node_lookup_first_message_for_key key msgs in begin match pending with - | BetreeListCons p l -> + | Betree_List_Cons p l -> let (k, msg) = p in if k <> key then let* _ = - betree_node_lookup_first_message_for_key_back key msgs - (BetreeListCons (k, msg) l) in - let* node0 = betree_internal_lookup_in_children_back node key st0 in - Return (BetreeNodeInternal node0) + betree_Node_lookup_first_message_for_key_back key msgs + (Betree_List_Cons (k, msg) l) in + let* node0 = betree_Internal_lookup_in_children_back node key st0 in + Return (Betree_Node_Internal node0) else begin match msg with - | BetreeMessageInsert v -> + | Betree_Message_Insert v -> let* _ = - betree_node_lookup_first_message_for_key_back key msgs - (BetreeListCons (k, BetreeMessageInsert v) l) in - Return (BetreeNodeInternal node) - | BetreeMessageDelete -> + betree_Node_lookup_first_message_for_key_back key msgs + (Betree_List_Cons (k, Betree_Message_Insert v) l) in + Return (Betree_Node_Internal node) + | Betree_Message_Delete -> let* _ = - betree_node_lookup_first_message_for_key_back key msgs - (BetreeListCons (k, BetreeMessageDelete) l) in - Return (BetreeNodeInternal node) - | BetreeMessageUpsert ufs -> - let* (st1, v) = betree_internal_lookup_in_children_fwd node key st0 - in + betree_Node_lookup_first_message_for_key_back key msgs + (Betree_List_Cons (k, Betree_Message_Delete) l) in + Return (Betree_Node_Internal node) + | Betree_Message_Upsert ufs -> + let* (st1, v) = betree_Internal_lookup_in_children node key st0 in let* (st2, _) = - betree_node_apply_upserts_fwd (BetreeListCons (k, - BetreeMessageUpsert ufs) l) v key st1 in - let* node0 = betree_internal_lookup_in_children_back node key st0 in + betree_Node_apply_upserts (Betree_List_Cons (k, + Betree_Message_Upsert ufs) l) v key st1 in + let* node0 = betree_Internal_lookup_in_children_back node key st0 in let* pending0 = - betree_node_apply_upserts_back (BetreeListCons (k, - BetreeMessageUpsert ufs) l) v key st1 in + betree_Node_apply_upserts_back (Betree_List_Cons (k, + Betree_Message_Upsert ufs) l) v key st1 in let* msgs0 = - betree_node_lookup_first_message_for_key_back key msgs pending0 in - let* _ = - betree_store_internal_node_fwd node0.betree_internal_id msgs0 st2 - in - Return (BetreeNodeInternal node0) + betree_Node_lookup_first_message_for_key_back key msgs pending0 in + let* _ = betree_store_internal_node node0.id msgs0 st2 in + Return (Betree_Node_Internal node0) end - | BetreeListNil -> + | Betree_List_Nil -> let* _ = - betree_node_lookup_first_message_for_key_back key msgs BetreeListNil in - let* node0 = betree_internal_lookup_in_children_back node key st0 in - Return (BetreeNodeInternal node0) + betree_Node_lookup_first_message_for_key_back key msgs Betree_List_Nil + in + let* node0 = betree_Internal_lookup_in_children_back node key st0 in + Return (Betree_Node_Internal node0) end - | BetreeNodeLeaf node -> - let* (_, bindings) = betree_load_leaf_node_fwd node.betree_leaf_id st in - let* _ = betree_node_lookup_in_bindings_fwd key bindings in - Return (BetreeNodeLeaf node) + | Betree_Node_Leaf node -> + let* (_, bindings) = betree_load_leaf_node node.id st in + let* _ = betree_Node_lookup_in_bindings key bindings in + Return (Betree_Node_Leaf node) end (** [betree_main::betree::Node::{5}::filter_messages_for_key]: merged forward/backward function (there is a single backward function, and the forward function returns ()) *) -let rec betree_node_filter_messages_for_key_fwd_back - (key : u64) (msgs : betree_list_t (u64 & betree_message_t)) : - Tot (result (betree_list_t (u64 & betree_message_t))) - (decreases (betree_node_filter_messages_for_key_decreases key msgs)) +let rec betree_Node_filter_messages_for_key + (key : u64) (msgs : betree_List_t (u64 & betree_Message_t)) : + Tot (result (betree_List_t (u64 & betree_Message_t))) + (decreases (betree_Node_filter_messages_for_key_decreases key msgs)) = begin match msgs with - | BetreeListCons p l -> + | Betree_List_Cons p l -> let (k, m) = p in if k = key then let* msgs0 = - betree_list_pop_front_back (u64 & betree_message_t) (BetreeListCons (k, - m) l) in - betree_node_filter_messages_for_key_fwd_back key msgs0 - else Return (BetreeListCons (k, m) l) - | BetreeListNil -> Return BetreeListNil + betree_List_pop_front_back (u64 & betree_Message_t) (Betree_List_Cons + (k, m) l) in + betree_Node_filter_messages_for_key key msgs0 + else Return (Betree_List_Cons (k, m) l) + | Betree_List_Nil -> Return Betree_List_Nil end (** [betree_main::betree::Node::{5}::lookup_first_message_after_key]: forward function *) -let rec betree_node_lookup_first_message_after_key_fwd - (key : u64) (msgs : betree_list_t (u64 & betree_message_t)) : - Tot (result (betree_list_t (u64 & betree_message_t))) - (decreases (betree_node_lookup_first_message_after_key_decreases key msgs)) +let rec betree_Node_lookup_first_message_after_key + (key : u64) (msgs : betree_List_t (u64 & betree_Message_t)) : + Tot (result (betree_List_t (u64 & betree_Message_t))) + (decreases (betree_Node_lookup_first_message_after_key_decreases key msgs)) = begin match msgs with - | BetreeListCons p next_msgs -> + | Betree_List_Cons p next_msgs -> let (k, m) = p in if k = key - then betree_node_lookup_first_message_after_key_fwd key next_msgs - else Return (BetreeListCons (k, m) next_msgs) - | BetreeListNil -> Return BetreeListNil + then betree_Node_lookup_first_message_after_key key next_msgs + else Return (Betree_List_Cons (k, m) next_msgs) + | Betree_List_Nil -> Return Betree_List_Nil end (** [betree_main::betree::Node::{5}::lookup_first_message_after_key]: backward function 0 *) -let rec betree_node_lookup_first_message_after_key_back - (key : u64) (msgs : betree_list_t (u64 & betree_message_t)) - (ret : betree_list_t (u64 & betree_message_t)) : - Tot (result (betree_list_t (u64 & betree_message_t))) - (decreases (betree_node_lookup_first_message_after_key_decreases key msgs)) +let rec betree_Node_lookup_first_message_after_key_back + (key : u64) (msgs : betree_List_t (u64 & betree_Message_t)) + (ret : betree_List_t (u64 & betree_Message_t)) : + Tot (result (betree_List_t (u64 & betree_Message_t))) + (decreases (betree_Node_lookup_first_message_after_key_decreases key msgs)) = begin match msgs with - | BetreeListCons p next_msgs -> + | Betree_List_Cons p next_msgs -> let (k, m) = p in if k = key then let* next_msgs0 = - betree_node_lookup_first_message_after_key_back key next_msgs ret in - Return (BetreeListCons (k, m) next_msgs0) + betree_Node_lookup_first_message_after_key_back key next_msgs ret in + Return (Betree_List_Cons (k, m) next_msgs0) else Return ret - | BetreeListNil -> Return ret + | Betree_List_Nil -> Return ret end (** [betree_main::betree::Node::{5}::apply_to_internal]: merged forward/backward function (there is a single backward function, and the forward function returns ()) *) -let betree_node_apply_to_internal_fwd_back - (msgs : betree_list_t (u64 & betree_message_t)) (key : u64) - (new_msg : betree_message_t) : - result (betree_list_t (u64 & betree_message_t)) +let betree_Node_apply_to_internal + (msgs : betree_List_t (u64 & betree_Message_t)) (key : u64) + (new_msg : betree_Message_t) : + result (betree_List_t (u64 & betree_Message_t)) = - let* msgs0 = betree_node_lookup_first_message_for_key_fwd key msgs in - let* b = betree_list_head_has_key_fwd betree_message_t msgs0 key in + let* msgs0 = betree_Node_lookup_first_message_for_key key msgs in + let* b = betree_List_head_has_key betree_Message_t msgs0 key in if b then begin match new_msg with - | BetreeMessageInsert i -> - let* msgs1 = betree_node_filter_messages_for_key_fwd_back key msgs0 in + | Betree_Message_Insert i -> + let* msgs1 = betree_Node_filter_messages_for_key key msgs0 in let* msgs2 = - betree_list_push_front_fwd_back (u64 & betree_message_t) msgs1 (key, - BetreeMessageInsert i) in - betree_node_lookup_first_message_for_key_back key msgs msgs2 - | BetreeMessageDelete -> - let* msgs1 = betree_node_filter_messages_for_key_fwd_back key msgs0 in + betree_List_push_front (u64 & betree_Message_t) msgs1 (key, + Betree_Message_Insert i) in + betree_Node_lookup_first_message_for_key_back key msgs msgs2 + | Betree_Message_Delete -> + let* msgs1 = betree_Node_filter_messages_for_key key msgs0 in let* msgs2 = - betree_list_push_front_fwd_back (u64 & betree_message_t) msgs1 (key, - BetreeMessageDelete) in - betree_node_lookup_first_message_for_key_back key msgs msgs2 - | BetreeMessageUpsert s -> - let* p = betree_list_hd_fwd (u64 & betree_message_t) msgs0 in + betree_List_push_front (u64 & betree_Message_t) msgs1 (key, + Betree_Message_Delete) in + betree_Node_lookup_first_message_for_key_back key msgs msgs2 + | Betree_Message_Upsert s -> + let* p = betree_List_hd (u64 & betree_Message_t) msgs0 in let (_, m) = p in begin match m with - | BetreeMessageInsert prev -> - let* v = betree_upsert_update_fwd (Some prev) s in - let* msgs1 = betree_list_pop_front_back (u64 & betree_message_t) msgs0 + | Betree_Message_Insert prev -> + let* v = betree_upsert_update (Some prev) s in + let* msgs1 = betree_List_pop_front_back (u64 & betree_Message_t) msgs0 in let* msgs2 = - betree_list_push_front_fwd_back (u64 & betree_message_t) msgs1 (key, - BetreeMessageInsert v) in - betree_node_lookup_first_message_for_key_back key msgs msgs2 - | BetreeMessageDelete -> - let* v = betree_upsert_update_fwd None s in - let* msgs1 = betree_list_pop_front_back (u64 & betree_message_t) msgs0 + betree_List_push_front (u64 & betree_Message_t) msgs1 (key, + Betree_Message_Insert v) in + betree_Node_lookup_first_message_for_key_back key msgs msgs2 + | Betree_Message_Delete -> + let* v = betree_upsert_update None s in + let* msgs1 = betree_List_pop_front_back (u64 & betree_Message_t) msgs0 in let* msgs2 = - betree_list_push_front_fwd_back (u64 & betree_message_t) msgs1 (key, - BetreeMessageInsert v) in - betree_node_lookup_first_message_for_key_back key msgs msgs2 - | BetreeMessageUpsert ufs -> - let* msgs1 = betree_node_lookup_first_message_after_key_fwd key msgs0 - in + betree_List_push_front (u64 & betree_Message_t) msgs1 (key, + Betree_Message_Insert v) in + betree_Node_lookup_first_message_for_key_back key msgs msgs2 + | Betree_Message_Upsert ufs -> + let* msgs1 = betree_Node_lookup_first_message_after_key key msgs0 in let* msgs2 = - betree_list_push_front_fwd_back (u64 & betree_message_t) msgs1 (key, - BetreeMessageUpsert s) in + betree_List_push_front (u64 & betree_Message_t) msgs1 (key, + Betree_Message_Upsert s) in let* msgs3 = - betree_node_lookup_first_message_after_key_back key msgs0 msgs2 in - betree_node_lookup_first_message_for_key_back key msgs msgs3 + betree_Node_lookup_first_message_after_key_back key msgs0 msgs2 in + betree_Node_lookup_first_message_for_key_back key msgs msgs3 end end else let* msgs1 = - betree_list_push_front_fwd_back (u64 & betree_message_t) msgs0 (key, - new_msg) in - betree_node_lookup_first_message_for_key_back key msgs msgs1 + betree_List_push_front (u64 & betree_Message_t) msgs0 (key, new_msg) in + betree_Node_lookup_first_message_for_key_back key msgs msgs1 (** [betree_main::betree::Node::{5}::apply_messages_to_internal]: merged forward/backward function (there is a single backward function, and the forward function returns ()) *) -let rec betree_node_apply_messages_to_internal_fwd_back - (msgs : betree_list_t (u64 & betree_message_t)) - (new_msgs : betree_list_t (u64 & betree_message_t)) : - Tot (result (betree_list_t (u64 & betree_message_t))) - (decreases (betree_node_apply_messages_to_internal_decreases msgs new_msgs)) +let rec betree_Node_apply_messages_to_internal + (msgs : betree_List_t (u64 & betree_Message_t)) + (new_msgs : betree_List_t (u64 & betree_Message_t)) : + Tot (result (betree_List_t (u64 & betree_Message_t))) + (decreases (betree_Node_apply_messages_to_internal_decreases msgs new_msgs)) = begin match new_msgs with - | BetreeListCons new_msg new_msgs_tl -> + | Betree_List_Cons new_msg new_msgs_tl -> let (i, m) = new_msg in - let* msgs0 = betree_node_apply_to_internal_fwd_back msgs i m in - betree_node_apply_messages_to_internal_fwd_back msgs0 new_msgs_tl - | BetreeListNil -> Return msgs + let* msgs0 = betree_Node_apply_to_internal msgs i m in + betree_Node_apply_messages_to_internal msgs0 new_msgs_tl + | Betree_List_Nil -> Return msgs end (** [betree_main::betree::Node::{5}::lookup_mut_in_bindings]: forward function *) -let rec betree_node_lookup_mut_in_bindings_fwd - (key : u64) (bindings : betree_list_t (u64 & u64)) : - Tot (result (betree_list_t (u64 & u64))) - (decreases (betree_node_lookup_mut_in_bindings_decreases key bindings)) +let rec betree_Node_lookup_mut_in_bindings + (key : u64) (bindings : betree_List_t (u64 & u64)) : + Tot (result (betree_List_t (u64 & u64))) + (decreases (betree_Node_lookup_mut_in_bindings_decreases key bindings)) = begin match bindings with - | BetreeListCons hd tl -> + | Betree_List_Cons hd tl -> let (i, i0) = hd in if i >= key - then Return (BetreeListCons (i, i0) tl) - else betree_node_lookup_mut_in_bindings_fwd key tl - | BetreeListNil -> Return BetreeListNil + then Return (Betree_List_Cons (i, i0) tl) + else betree_Node_lookup_mut_in_bindings key tl + | Betree_List_Nil -> Return Betree_List_Nil end (** [betree_main::betree::Node::{5}::lookup_mut_in_bindings]: backward function 0 *) -let rec betree_node_lookup_mut_in_bindings_back - (key : u64) (bindings : betree_list_t (u64 & u64)) - (ret : betree_list_t (u64 & u64)) : - Tot (result (betree_list_t (u64 & u64))) - (decreases (betree_node_lookup_mut_in_bindings_decreases key bindings)) +let rec betree_Node_lookup_mut_in_bindings_back + (key : u64) (bindings : betree_List_t (u64 & u64)) + (ret : betree_List_t (u64 & u64)) : + Tot (result (betree_List_t (u64 & u64))) + (decreases (betree_Node_lookup_mut_in_bindings_decreases key bindings)) = begin match bindings with - | BetreeListCons hd tl -> + | Betree_List_Cons hd tl -> let (i, i0) = hd in if i >= key then Return ret else - let* tl0 = betree_node_lookup_mut_in_bindings_back key tl ret in - Return (BetreeListCons (i, i0) tl0) - | BetreeListNil -> Return ret + let* tl0 = betree_Node_lookup_mut_in_bindings_back key tl ret in + Return (Betree_List_Cons (i, i0) tl0) + | Betree_List_Nil -> Return ret end (** [betree_main::betree::Node::{5}::apply_to_leaf]: merged forward/backward function (there is a single backward function, and the forward function returns ()) *) -let betree_node_apply_to_leaf_fwd_back - (bindings : betree_list_t (u64 & u64)) (key : u64) - (new_msg : betree_message_t) : - result (betree_list_t (u64 & u64)) +let betree_Node_apply_to_leaf + (bindings : betree_List_t (u64 & u64)) (key : u64) + (new_msg : betree_Message_t) : + result (betree_List_t (u64 & u64)) = - let* bindings0 = betree_node_lookup_mut_in_bindings_fwd key bindings in - let* b = betree_list_head_has_key_fwd u64 bindings0 key in + let* bindings0 = betree_Node_lookup_mut_in_bindings key bindings in + let* b = betree_List_head_has_key u64 bindings0 key in if b then - let* hd = betree_list_pop_front_fwd (u64 & u64) bindings0 in + let* hd = betree_List_pop_front (u64 & u64) bindings0 in begin match new_msg with - | BetreeMessageInsert v -> - let* bindings1 = betree_list_pop_front_back (u64 & u64) bindings0 in - let* bindings2 = - betree_list_push_front_fwd_back (u64 & u64) bindings1 (key, v) in - betree_node_lookup_mut_in_bindings_back key bindings bindings2 - | BetreeMessageDelete -> - let* bindings1 = betree_list_pop_front_back (u64 & u64) bindings0 in - betree_node_lookup_mut_in_bindings_back key bindings bindings1 - | BetreeMessageUpsert s -> + | Betree_Message_Insert v -> + let* bindings1 = betree_List_pop_front_back (u64 & u64) bindings0 in + let* bindings2 = betree_List_push_front (u64 & u64) bindings1 (key, v) in + betree_Node_lookup_mut_in_bindings_back key bindings bindings2 + | Betree_Message_Delete -> + let* bindings1 = betree_List_pop_front_back (u64 & u64) bindings0 in + betree_Node_lookup_mut_in_bindings_back key bindings bindings1 + | Betree_Message_Upsert s -> let (_, i) = hd in - let* v = betree_upsert_update_fwd (Some i) s in - let* bindings1 = betree_list_pop_front_back (u64 & u64) bindings0 in - let* bindings2 = - betree_list_push_front_fwd_back (u64 & u64) bindings1 (key, v) in - betree_node_lookup_mut_in_bindings_back key bindings bindings2 + let* v = betree_upsert_update (Some i) s in + let* bindings1 = betree_List_pop_front_back (u64 & u64) bindings0 in + let* bindings2 = betree_List_push_front (u64 & u64) bindings1 (key, v) in + betree_Node_lookup_mut_in_bindings_back key bindings bindings2 end else begin match new_msg with - | BetreeMessageInsert v -> - let* bindings1 = - betree_list_push_front_fwd_back (u64 & u64) bindings0 (key, v) in - betree_node_lookup_mut_in_bindings_back key bindings bindings1 - | BetreeMessageDelete -> - betree_node_lookup_mut_in_bindings_back key bindings bindings0 - | BetreeMessageUpsert s -> - let* v = betree_upsert_update_fwd None s in - let* bindings1 = - betree_list_push_front_fwd_back (u64 & u64) bindings0 (key, v) in - betree_node_lookup_mut_in_bindings_back key bindings bindings1 + | Betree_Message_Insert v -> + let* bindings1 = betree_List_push_front (u64 & u64) bindings0 (key, v) in + betree_Node_lookup_mut_in_bindings_back key bindings bindings1 + | Betree_Message_Delete -> + betree_Node_lookup_mut_in_bindings_back key bindings bindings0 + | Betree_Message_Upsert s -> + let* v = betree_upsert_update None s in + let* bindings1 = betree_List_push_front (u64 & u64) bindings0 (key, v) in + betree_Node_lookup_mut_in_bindings_back key bindings bindings1 end (** [betree_main::betree::Node::{5}::apply_messages_to_leaf]: merged forward/backward function (there is a single backward function, and the forward function returns ()) *) -let rec betree_node_apply_messages_to_leaf_fwd_back - (bindings : betree_list_t (u64 & u64)) - (new_msgs : betree_list_t (u64 & betree_message_t)) : - Tot (result (betree_list_t (u64 & u64))) - (decreases (betree_node_apply_messages_to_leaf_decreases bindings new_msgs)) +let rec betree_Node_apply_messages_to_leaf + (bindings : betree_List_t (u64 & u64)) + (new_msgs : betree_List_t (u64 & betree_Message_t)) : + Tot (result (betree_List_t (u64 & u64))) + (decreases (betree_Node_apply_messages_to_leaf_decreases bindings new_msgs)) = begin match new_msgs with - | BetreeListCons new_msg new_msgs_tl -> + | Betree_List_Cons new_msg new_msgs_tl -> let (i, m) = new_msg in - let* bindings0 = betree_node_apply_to_leaf_fwd_back bindings i m in - betree_node_apply_messages_to_leaf_fwd_back bindings0 new_msgs_tl - | BetreeListNil -> Return bindings + let* bindings0 = betree_Node_apply_to_leaf bindings i m in + betree_Node_apply_messages_to_leaf bindings0 new_msgs_tl + | Betree_List_Nil -> Return bindings end (** [betree_main::betree::Internal::{4}::flush]: forward function *) -let rec betree_internal_flush_fwd - (self : betree_internal_t) (params : betree_params_t) - (node_id_cnt : betree_node_id_counter_t) - (content : betree_list_t (u64 & betree_message_t)) (st : state) : - Tot (result (state & (betree_list_t (u64 & betree_message_t)))) +let rec betree_Internal_flush + (self : betree_Internal_t) (params : betree_Params_t) + (node_id_cnt : betree_NodeIdCounter_t) + (content : betree_List_t (u64 & betree_Message_t)) (st : state) : + Tot (result (state & (betree_List_t (u64 & betree_Message_t)))) (decreases ( - betree_internal_flush_decreases self params node_id_cnt content st)) + betree_Internal_flush_decreases self params node_id_cnt content st)) = - let* p = - betree_list_partition_at_pivot_fwd betree_message_t content - self.betree_internal_pivot in + let* p = betree_List_partition_at_pivot betree_Message_t content self.pivot + in let (msgs_left, msgs_right) = p in - let* len_left = betree_list_len_fwd (u64 & betree_message_t) msgs_left in - if len_left >= params.betree_params_min_flush_size + let* len_left = betree_List_len (u64 & betree_Message_t) msgs_left in + if len_left >= params.min_flush_size then let* (st0, _) = - betree_node_apply_messages_fwd self.betree_internal_left params - node_id_cnt msgs_left st in + betree_Node_apply_messages self.left params node_id_cnt msgs_left st in let* (_, node_id_cnt0) = - betree_node_apply_messages_back self.betree_internal_left params - node_id_cnt msgs_left st in - let* len_right = betree_list_len_fwd (u64 & betree_message_t) msgs_right in - if len_right >= params.betree_params_min_flush_size + betree_Node_apply_messages_back self.left params node_id_cnt msgs_left st + in + let* len_right = betree_List_len (u64 & betree_Message_t) msgs_right in + if len_right >= params.min_flush_size then let* (st1, _) = - betree_node_apply_messages_fwd self.betree_internal_right params - node_id_cnt0 msgs_right st0 in + betree_Node_apply_messages self.right params node_id_cnt0 msgs_right + st0 in let* _ = - betree_node_apply_messages_back self.betree_internal_right params - node_id_cnt0 msgs_right st0 in - Return (st1, BetreeListNil) + betree_Node_apply_messages_back self.right params node_id_cnt0 + msgs_right st0 in + Return (st1, Betree_List_Nil) else Return (st0, msgs_right) else let* (st0, _) = - betree_node_apply_messages_fwd self.betree_internal_right params - node_id_cnt msgs_right st in + betree_Node_apply_messages self.right params node_id_cnt msgs_right st in let* _ = - betree_node_apply_messages_back self.betree_internal_right params - node_id_cnt msgs_right st in + betree_Node_apply_messages_back self.right params node_id_cnt msgs_right + st in Return (st0, msgs_left) (** [betree_main::betree::Internal::{4}::flush]: backward function 0 *) -and betree_internal_flush_back - (self : betree_internal_t) (params : betree_params_t) - (node_id_cnt : betree_node_id_counter_t) - (content : betree_list_t (u64 & betree_message_t)) (st : state) : - Tot (result (betree_internal_t & betree_node_id_counter_t)) +and betree_Internal_flush_back + (self : betree_Internal_t) (params : betree_Params_t) + (node_id_cnt : betree_NodeIdCounter_t) + (content : betree_List_t (u64 & betree_Message_t)) (st : state) : + Tot (result (betree_Internal_t & betree_NodeIdCounter_t)) (decreases ( - betree_internal_flush_decreases self params node_id_cnt content st)) + betree_Internal_flush_decreases self params node_id_cnt content st)) = - let* p = - betree_list_partition_at_pivot_fwd betree_message_t content - self.betree_internal_pivot in + let* p = betree_List_partition_at_pivot betree_Message_t content self.pivot + in let (msgs_left, msgs_right) = p in - let* len_left = betree_list_len_fwd (u64 & betree_message_t) msgs_left in - if len_left >= params.betree_params_min_flush_size + let* len_left = betree_List_len (u64 & betree_Message_t) msgs_left in + if len_left >= params.min_flush_size then let* (st0, _) = - betree_node_apply_messages_fwd self.betree_internal_left params - node_id_cnt msgs_left st in + betree_Node_apply_messages self.left params node_id_cnt msgs_left st in let* (n, node_id_cnt0) = - betree_node_apply_messages_back self.betree_internal_left params - node_id_cnt msgs_left st in - let* len_right = betree_list_len_fwd (u64 & betree_message_t) msgs_right in - if len_right >= params.betree_params_min_flush_size + betree_Node_apply_messages_back self.left params node_id_cnt msgs_left st + in + let* len_right = betree_List_len (u64 & betree_Message_t) msgs_right in + if len_right >= params.min_flush_size then let* (n0, node_id_cnt1) = - betree_node_apply_messages_back self.betree_internal_right params - node_id_cnt0 msgs_right st0 in - Return - ({ self with betree_internal_left = n; betree_internal_right = n0 }, - node_id_cnt1) - else Return ({ self with betree_internal_left = n }, node_id_cnt0) + betree_Node_apply_messages_back self.right params node_id_cnt0 + msgs_right st0 in + Return ({ self with left = n; right = n0 }, node_id_cnt1) + else Return ({ self with left = n }, node_id_cnt0) else let* (n, node_id_cnt0) = - betree_node_apply_messages_back self.betree_internal_right params - node_id_cnt msgs_right st in - Return ({ self with betree_internal_right = n }, node_id_cnt0) + betree_Node_apply_messages_back self.right params node_id_cnt msgs_right + st in + Return ({ self with right = n }, node_id_cnt0) (** [betree_main::betree::Node::{5}::apply_messages]: forward function *) -and betree_node_apply_messages_fwd - (self : betree_node_t) (params : betree_params_t) - (node_id_cnt : betree_node_id_counter_t) - (msgs : betree_list_t (u64 & betree_message_t)) (st : state) : +and betree_Node_apply_messages + (self : betree_Node_t) (params : betree_Params_t) + (node_id_cnt : betree_NodeIdCounter_t) + (msgs : betree_List_t (u64 & betree_Message_t)) (st : state) : Tot (result (state & unit)) (decreases ( - betree_node_apply_messages_decreases self params node_id_cnt msgs st)) + betree_Node_apply_messages_decreases self params node_id_cnt msgs st)) = begin match self with - | BetreeNodeInternal node -> - let* (st0, content) = - betree_load_internal_node_fwd node.betree_internal_id st in - let* content0 = - betree_node_apply_messages_to_internal_fwd_back content msgs in - let* num_msgs = betree_list_len_fwd (u64 & betree_message_t) content0 in - if num_msgs >= params.betree_params_min_flush_size + | Betree_Node_Internal node -> + let* (st0, content) = betree_load_internal_node node.id st in + let* content0 = betree_Node_apply_messages_to_internal content msgs in + let* num_msgs = betree_List_len (u64 & betree_Message_t) content0 in + if num_msgs >= params.min_flush_size then let* (st1, content1) = - betree_internal_flush_fwd node params node_id_cnt content0 st0 in + betree_Internal_flush node params node_id_cnt content0 st0 in let* (node0, _) = - betree_internal_flush_back node params node_id_cnt content0 st0 in - let* (st2, _) = - betree_store_internal_node_fwd node0.betree_internal_id content1 st1 in + betree_Internal_flush_back node params node_id_cnt content0 st0 in + let* (st2, _) = betree_store_internal_node node0.id content1 st1 in Return (st2, ()) else - let* (st1, _) = - betree_store_internal_node_fwd node.betree_internal_id content0 st0 in + let* (st1, _) = betree_store_internal_node node.id content0 st0 in Return (st1, ()) - | BetreeNodeLeaf node -> - let* (st0, content) = betree_load_leaf_node_fwd node.betree_leaf_id st in - let* content0 = betree_node_apply_messages_to_leaf_fwd_back content msgs in - let* len = betree_list_len_fwd (u64 & u64) content0 in - let* i = u64_mul 2 params.betree_params_split_size in + | Betree_Node_Leaf node -> + let* (st0, content) = betree_load_leaf_node node.id st in + let* content0 = betree_Node_apply_messages_to_leaf content msgs in + let* len = betree_List_len (u64 & u64) content0 in + let* i = u64_mul 2 params.split_size in if len >= i then - let* (st1, _) = - betree_leaf_split_fwd node content0 params node_id_cnt st0 in - let* (st2, _) = - betree_store_leaf_node_fwd node.betree_leaf_id BetreeListNil st1 in + let* (st1, _) = betree_Leaf_split node content0 params node_id_cnt st0 in + let* (st2, _) = betree_store_leaf_node node.id Betree_List_Nil st1 in Return (st2, ()) else - let* (st1, _) = - betree_store_leaf_node_fwd node.betree_leaf_id content0 st0 in + let* (st1, _) = betree_store_leaf_node node.id content0 st0 in Return (st1, ()) end (** [betree_main::betree::Node::{5}::apply_messages]: backward function 0 *) -and betree_node_apply_messages_back - (self : betree_node_t) (params : betree_params_t) - (node_id_cnt : betree_node_id_counter_t) - (msgs : betree_list_t (u64 & betree_message_t)) (st : state) : - Tot (result (betree_node_t & betree_node_id_counter_t)) +and betree_Node_apply_messages_back + (self : betree_Node_t) (params : betree_Params_t) + (node_id_cnt : betree_NodeIdCounter_t) + (msgs : betree_List_t (u64 & betree_Message_t)) (st : state) : + Tot (result (betree_Node_t & betree_NodeIdCounter_t)) (decreases ( - betree_node_apply_messages_decreases self params node_id_cnt msgs st)) + betree_Node_apply_messages_decreases self params node_id_cnt msgs st)) = begin match self with - | BetreeNodeInternal node -> - let* (st0, content) = - betree_load_internal_node_fwd node.betree_internal_id st in - let* content0 = - betree_node_apply_messages_to_internal_fwd_back content msgs in - let* num_msgs = betree_list_len_fwd (u64 & betree_message_t) content0 in - if num_msgs >= params.betree_params_min_flush_size + | Betree_Node_Internal node -> + let* (st0, content) = betree_load_internal_node node.id st in + let* content0 = betree_Node_apply_messages_to_internal content msgs in + let* num_msgs = betree_List_len (u64 & betree_Message_t) content0 in + if num_msgs >= params.min_flush_size then let* (st1, content1) = - betree_internal_flush_fwd node params node_id_cnt content0 st0 in + betree_Internal_flush node params node_id_cnt content0 st0 in let* (node0, node_id_cnt0) = - betree_internal_flush_back node params node_id_cnt content0 st0 in - let* _ = - betree_store_internal_node_fwd node0.betree_internal_id content1 st1 in - Return (BetreeNodeInternal node0, node_id_cnt0) + betree_Internal_flush_back node params node_id_cnt content0 st0 in + let* _ = betree_store_internal_node node0.id content1 st1 in + Return (Betree_Node_Internal node0, node_id_cnt0) else - let* _ = - betree_store_internal_node_fwd node.betree_internal_id content0 st0 in - Return (BetreeNodeInternal node, node_id_cnt) - | BetreeNodeLeaf node -> - let* (st0, content) = betree_load_leaf_node_fwd node.betree_leaf_id st in - let* content0 = betree_node_apply_messages_to_leaf_fwd_back content msgs in - let* len = betree_list_len_fwd (u64 & u64) content0 in - let* i = u64_mul 2 params.betree_params_split_size in + let* _ = betree_store_internal_node node.id content0 st0 in + Return (Betree_Node_Internal node, node_id_cnt) + | Betree_Node_Leaf node -> + let* (st0, content) = betree_load_leaf_node node.id st in + let* content0 = betree_Node_apply_messages_to_leaf content msgs in + let* len = betree_List_len (u64 & u64) content0 in + let* i = u64_mul 2 params.split_size in if len >= i then let* (st1, new_node) = - betree_leaf_split_fwd node content0 params node_id_cnt st0 in - let* _ = betree_store_leaf_node_fwd node.betree_leaf_id BetreeListNil st1 - in + betree_Leaf_split node content0 params node_id_cnt st0 in + let* _ = betree_store_leaf_node node.id Betree_List_Nil st1 in let* node_id_cnt0 = - betree_leaf_split_back node content0 params node_id_cnt st0 in - Return (BetreeNodeInternal new_node, node_id_cnt0) + betree_Leaf_split_back node content0 params node_id_cnt st0 in + Return (Betree_Node_Internal new_node, node_id_cnt0) else - let* _ = betree_store_leaf_node_fwd node.betree_leaf_id content0 st0 in - Return (BetreeNodeLeaf { node with betree_leaf_size = len }, node_id_cnt) + let* _ = betree_store_leaf_node node.id content0 st0 in + Return (Betree_Node_Leaf { node with size = len }, node_id_cnt) end (** [betree_main::betree::Node::{5}::apply]: forward function *) -let betree_node_apply_fwd - (self : betree_node_t) (params : betree_params_t) - (node_id_cnt : betree_node_id_counter_t) (key : u64) - (new_msg : betree_message_t) (st : state) : +let betree_Node_apply + (self : betree_Node_t) (params : betree_Params_t) + (node_id_cnt : betree_NodeIdCounter_t) (key : u64) + (new_msg : betree_Message_t) (st : state) : result (state & unit) = - let l = BetreeListNil in + let l = Betree_List_Nil in let* (st0, _) = - betree_node_apply_messages_fwd self params node_id_cnt (BetreeListCons - (key, new_msg) l) st in + betree_Node_apply_messages self params node_id_cnt (Betree_List_Cons (key, + new_msg) l) st in let* _ = - betree_node_apply_messages_back self params node_id_cnt (BetreeListCons + betree_Node_apply_messages_back self params node_id_cnt (Betree_List_Cons (key, new_msg) l) st in Return (st0, ()) (** [betree_main::betree::Node::{5}::apply]: backward function 0 *) -let betree_node_apply_back - (self : betree_node_t) (params : betree_params_t) - (node_id_cnt : betree_node_id_counter_t) (key : u64) - (new_msg : betree_message_t) (st : state) : - result (betree_node_t & betree_node_id_counter_t) +let betree_Node_apply_back + (self : betree_Node_t) (params : betree_Params_t) + (node_id_cnt : betree_NodeIdCounter_t) (key : u64) + (new_msg : betree_Message_t) (st : state) : + result (betree_Node_t & betree_NodeIdCounter_t) = - let l = BetreeListNil in - betree_node_apply_messages_back self params node_id_cnt (BetreeListCons (key, - new_msg) l) st + let l = Betree_List_Nil in + betree_Node_apply_messages_back self params node_id_cnt (Betree_List_Cons + (key, new_msg) l) st (** [betree_main::betree::BeTree::{6}::new]: forward function *) -let betree_be_tree_new_fwd +let betree_BeTree_new (min_flush_size : u64) (split_size : u64) (st : state) : - result (state & betree_be_tree_t) + result (state & betree_BeTree_t) = - let* node_id_cnt = betree_node_id_counter_new_fwd in - let* id = betree_node_id_counter_fresh_id_fwd node_id_cnt in - let* (st0, _) = betree_store_leaf_node_fwd id BetreeListNil st in - let* node_id_cnt0 = betree_node_id_counter_fresh_id_back node_id_cnt in + let* node_id_cnt = betree_NodeIdCounter_new in + let* id = betree_NodeIdCounter_fresh_id node_id_cnt in + let* (st0, _) = betree_store_leaf_node id Betree_List_Nil st in + let* node_id_cnt0 = betree_NodeIdCounter_fresh_id_back node_id_cnt in Return (st0, { - betree_be_tree_params = - { - betree_params_min_flush_size = min_flush_size; - betree_params_split_size = split_size - }; - betree_be_tree_node_id_cnt = node_id_cnt0; - betree_be_tree_root = - (BetreeNodeLeaf { betree_leaf_id = id; betree_leaf_size = 0 }) + params = { min_flush_size = min_flush_size; split_size = split_size }; + node_id_cnt = node_id_cnt0; + root = (Betree_Node_Leaf { id = id; size = 0 }) }) (** [betree_main::betree::BeTree::{6}::apply]: forward function *) -let betree_be_tree_apply_fwd - (self : betree_be_tree_t) (key : u64) (msg : betree_message_t) (st : state) : +let betree_BeTree_apply + (self : betree_BeTree_t) (key : u64) (msg : betree_Message_t) (st : state) : result (state & unit) = let* (st0, _) = - betree_node_apply_fwd self.betree_be_tree_root self.betree_be_tree_params - self.betree_be_tree_node_id_cnt key msg st in + betree_Node_apply self.root self.params self.node_id_cnt key msg st in let* _ = - betree_node_apply_back self.betree_be_tree_root self.betree_be_tree_params - self.betree_be_tree_node_id_cnt key msg st in + betree_Node_apply_back self.root self.params self.node_id_cnt key msg st in Return (st0, ()) (** [betree_main::betree::BeTree::{6}::apply]: backward function 0 *) -let betree_be_tree_apply_back - (self : betree_be_tree_t) (key : u64) (msg : betree_message_t) (st : state) : - result betree_be_tree_t +let betree_BeTree_apply_back + (self : betree_BeTree_t) (key : u64) (msg : betree_Message_t) (st : state) : + result betree_BeTree_t = let* (n, nic) = - betree_node_apply_back self.betree_be_tree_root self.betree_be_tree_params - self.betree_be_tree_node_id_cnt key msg st in - Return - { self with betree_be_tree_node_id_cnt = nic; betree_be_tree_root = n } + betree_Node_apply_back self.root self.params self.node_id_cnt key msg st in + Return { self with node_id_cnt = nic; root = n } (** [betree_main::betree::BeTree::{6}::insert]: forward function *) -let betree_be_tree_insert_fwd - (self : betree_be_tree_t) (key : u64) (value : u64) (st : state) : +let betree_BeTree_insert + (self : betree_BeTree_t) (key : u64) (value : u64) (st : state) : result (state & unit) = - let* (st0, _) = - betree_be_tree_apply_fwd self key (BetreeMessageInsert value) st in - let* _ = betree_be_tree_apply_back self key (BetreeMessageInsert value) st in + let* (st0, _) = betree_BeTree_apply self key (Betree_Message_Insert value) st + in + let* _ = betree_BeTree_apply_back self key (Betree_Message_Insert value) st + in Return (st0, ()) (** [betree_main::betree::BeTree::{6}::insert]: backward function 0 *) -let betree_be_tree_insert_back - (self : betree_be_tree_t) (key : u64) (value : u64) (st : state) : - result betree_be_tree_t +let betree_BeTree_insert_back + (self : betree_BeTree_t) (key : u64) (value : u64) (st : state) : + result betree_BeTree_t = - betree_be_tree_apply_back self key (BetreeMessageInsert value) st + betree_BeTree_apply_back self key (Betree_Message_Insert value) st (** [betree_main::betree::BeTree::{6}::delete]: forward function *) -let betree_be_tree_delete_fwd - (self : betree_be_tree_t) (key : u64) (st : state) : result (state & unit) = - let* (st0, _) = betree_be_tree_apply_fwd self key BetreeMessageDelete st in - let* _ = betree_be_tree_apply_back self key BetreeMessageDelete st in +let betree_BeTree_delete + (self : betree_BeTree_t) (key : u64) (st : state) : result (state & unit) = + let* (st0, _) = betree_BeTree_apply self key Betree_Message_Delete st in + let* _ = betree_BeTree_apply_back self key Betree_Message_Delete st in Return (st0, ()) (** [betree_main::betree::BeTree::{6}::delete]: backward function 0 *) -let betree_be_tree_delete_back - (self : betree_be_tree_t) (key : u64) (st : state) : - result betree_be_tree_t - = - betree_be_tree_apply_back self key BetreeMessageDelete st +let betree_BeTree_delete_back + (self : betree_BeTree_t) (key : u64) (st : state) : result betree_BeTree_t = + betree_BeTree_apply_back self key Betree_Message_Delete st (** [betree_main::betree::BeTree::{6}::upsert]: forward function *) -let betree_be_tree_upsert_fwd - (self : betree_be_tree_t) (key : u64) (upd : betree_upsert_fun_state_t) +let betree_BeTree_upsert + (self : betree_BeTree_t) (key : u64) (upd : betree_UpsertFunState_t) (st : state) : result (state & unit) = - let* (st0, _) = - betree_be_tree_apply_fwd self key (BetreeMessageUpsert upd) st in - let* _ = betree_be_tree_apply_back self key (BetreeMessageUpsert upd) st in + let* (st0, _) = betree_BeTree_apply self key (Betree_Message_Upsert upd) st + in + let* _ = betree_BeTree_apply_back self key (Betree_Message_Upsert upd) st in Return (st0, ()) (** [betree_main::betree::BeTree::{6}::upsert]: backward function 0 *) -let betree_be_tree_upsert_back - (self : betree_be_tree_t) (key : u64) (upd : betree_upsert_fun_state_t) +let betree_BeTree_upsert_back + (self : betree_BeTree_t) (key : u64) (upd : betree_UpsertFunState_t) (st : state) : - result betree_be_tree_t + result betree_BeTree_t = - betree_be_tree_apply_back self key (BetreeMessageUpsert upd) st + betree_BeTree_apply_back self key (Betree_Message_Upsert upd) st (** [betree_main::betree::BeTree::{6}::lookup]: forward function *) -let betree_be_tree_lookup_fwd - (self : betree_be_tree_t) (key : u64) (st : state) : +let betree_BeTree_lookup + (self : betree_BeTree_t) (key : u64) (st : state) : result (state & (option u64)) = - betree_node_lookup_fwd self.betree_be_tree_root key st + betree_Node_lookup self.root key st (** [betree_main::betree::BeTree::{6}::lookup]: backward function 0 *) -let betree_be_tree_lookup_back - (self : betree_be_tree_t) (key : u64) (st : state) : - result betree_be_tree_t - = - let* n = betree_node_lookup_back self.betree_be_tree_root key st in - Return { self with betree_be_tree_root = n } +let betree_BeTree_lookup_back + (self : betree_BeTree_t) (key : u64) (st : state) : result betree_BeTree_t = + let* n = betree_Node_lookup_back self.root key st in + Return { self with root = n } (** [betree_main::main]: forward function *) -let main_fwd : result unit = +let main : result unit = Return () (** Unit test for [betree_main::main] *) -let _ = assert_norm (main_fwd = Return ()) +let _ = assert_norm (main = Return ()) diff --git a/tests/fstar/betree/BetreeMain.Opaque.fsti b/tests/fstar/betree/BetreeMain.Opaque.fsti index c33cf225..c5d0a814 100644 --- a/tests/fstar/betree/BetreeMain.Opaque.fsti +++ b/tests/fstar/betree/BetreeMain.Opaque.fsti @@ -7,24 +7,24 @@ include BetreeMain.Types #set-options "--z3rlimit 50 --fuel 1 --ifuel 1" (** [betree_main::betree_utils::load_internal_node]: forward function *) -val betree_utils_load_internal_node_fwd - : u64 -> state -> result (state & (betree_list_t (u64 & betree_message_t))) +val betree_utils_load_internal_node + : u64 -> state -> result (state & (betree_List_t (u64 & betree_Message_t))) (** [betree_main::betree_utils::store_internal_node]: forward function *) -val betree_utils_store_internal_node_fwd +val betree_utils_store_internal_node : - u64 -> betree_list_t (u64 & betree_message_t) -> state -> result (state & + u64 -> betree_List_t (u64 & betree_Message_t) -> state -> result (state & unit) (** [betree_main::betree_utils::load_leaf_node]: forward function *) -val betree_utils_load_leaf_node_fwd - : u64 -> state -> result (state & (betree_list_t (u64 & u64))) +val betree_utils_load_leaf_node + : u64 -> state -> result (state & (betree_List_t (u64 & u64))) (** [betree_main::betree_utils::store_leaf_node]: forward function *) -val betree_utils_store_leaf_node_fwd - : u64 -> betree_list_t (u64 & u64) -> state -> result (state & unit) +val betree_utils_store_leaf_node + : u64 -> betree_List_t (u64 & u64) -> state -> result (state & unit) (** [core::option::Option::{0}::unwrap]: forward function *) -val core_option_option_unwrap_fwd +val core_option_Option_unwrap (t : Type0) : option t -> state -> result (state & t) diff --git a/tests/fstar/betree/BetreeMain.Types.fsti b/tests/fstar/betree/BetreeMain.Types.fsti index a937c726..9320f6b7 100644 --- a/tests/fstar/betree/BetreeMain.Types.fsti +++ b/tests/fstar/betree/BetreeMain.Types.fsti @@ -6,53 +6,47 @@ open Primitives #set-options "--z3rlimit 50 --fuel 1 --ifuel 1" (** [betree_main::betree::List] *) -type betree_list_t (t : Type0) = -| BetreeListCons : t -> betree_list_t t -> betree_list_t t -| BetreeListNil : betree_list_t t +type betree_List_t (t : Type0) = +| Betree_List_Cons : t -> betree_List_t t -> betree_List_t t +| Betree_List_Nil : betree_List_t t (** [betree_main::betree::UpsertFunState] *) -type betree_upsert_fun_state_t = -| BetreeUpsertFunStateAdd : u64 -> betree_upsert_fun_state_t -| BetreeUpsertFunStateSub : u64 -> betree_upsert_fun_state_t +type betree_UpsertFunState_t = +| Betree_UpsertFunState_Add : u64 -> betree_UpsertFunState_t +| Betree_UpsertFunState_Sub : u64 -> betree_UpsertFunState_t (** [betree_main::betree::Message] *) -type betree_message_t = -| BetreeMessageInsert : u64 -> betree_message_t -| BetreeMessageDelete : betree_message_t -| BetreeMessageUpsert : betree_upsert_fun_state_t -> betree_message_t +type betree_Message_t = +| Betree_Message_Insert : u64 -> betree_Message_t +| Betree_Message_Delete : betree_Message_t +| Betree_Message_Upsert : betree_UpsertFunState_t -> betree_Message_t (** [betree_main::betree::Leaf] *) -type betree_leaf_t = { betree_leaf_id : u64; betree_leaf_size : u64; } +type betree_Leaf_t = { id : u64; size : u64; } (** [betree_main::betree::Internal] *) -type betree_internal_t = +type betree_Internal_t = { - betree_internal_id : u64; - betree_internal_pivot : u64; - betree_internal_left : betree_node_t; - betree_internal_right : betree_node_t; + id : u64; pivot : u64; left : betree_Node_t; right : betree_Node_t; } (** [betree_main::betree::Node] *) -and betree_node_t = -| BetreeNodeInternal : betree_internal_t -> betree_node_t -| BetreeNodeLeaf : betree_leaf_t -> betree_node_t +and betree_Node_t = +| Betree_Node_Internal : betree_Internal_t -> betree_Node_t +| Betree_Node_Leaf : betree_Leaf_t -> betree_Node_t (** [betree_main::betree::Params] *) -type betree_params_t = -{ - betree_params_min_flush_size : u64; betree_params_split_size : u64; -} +type betree_Params_t = { min_flush_size : u64; split_size : u64; } (** [betree_main::betree::NodeIdCounter] *) -type betree_node_id_counter_t = { betree_node_id_counter_next_node_id : u64; } +type betree_NodeIdCounter_t = { next_node_id : u64; } (** [betree_main::betree::BeTree] *) -type betree_be_tree_t = +type betree_BeTree_t = { - betree_be_tree_params : betree_params_t; - betree_be_tree_node_id_cnt : betree_node_id_counter_t; - betree_be_tree_root : betree_node_t; + params : betree_Params_t; + node_id_cnt : betree_NodeIdCounter_t; + root : betree_Node_t; } (** The state type used in the state-error monad *) diff --git a/tests/fstar/betree/Primitives.fst b/tests/fstar/betree/Primitives.fst index 9db82069..3297803c 100644 --- a/tests/fstar/betree/Primitives.fst +++ b/tests/fstar/betree/Primitives.fst @@ -55,8 +55,12 @@ type string = string let is_zero (n: nat) : bool = n = 0 let decrease (n: nat{n > 0}) : nat = n - 1 -let mem_replace_fwd (a : Type0) (x : a) (y : a) : a = x -let mem_replace_back (a : Type0) (x : a) (y : a) : a = y +let core_mem_replace (a : Type0) (x : a) (y : a) : a = x +let core_mem_replace_back (a : Type0) (x : a) (y : a) : a = y + +// 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 @@ -100,6 +104,11 @@ type scalar_ty = | 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 @@ -162,6 +171,15 @@ let scalar_sub (#ty : scalar_ty) (x : scalar ty) (y : scalar ty) : result (scala let scalar_mul (#ty : scalar_ty) (x : scalar ty) (y : scalar ty) : result (scalar ty) = mk_scalar ty (x * y) +let scalar_lxor (#ty : scalar_ty { is_unsigned ty && ty <> Usize }) + (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 + (** 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) = @@ -169,17 +187,44 @@ let scalar_cast (src_ty : scalar_ty) (tgt_ty : scalar_ty) (x : scalar src_ty) : /// 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 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 +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 @@ -231,7 +276,7 @@ let u32_add = scalar_add #U32 let u64_add = scalar_add #U64 let u128_add = scalar_add #U128 -/// Substraction +/// Subtraction let isize_sub = scalar_sub #Isize let i8_sub = scalar_sub #I8 let i16_sub = scalar_sub #I16 @@ -259,12 +304,65 @@ let u32_mul = scalar_mul #U32 let u64_mul = scalar_mul #U64 let u128_mul = scalar_mul #U128 -(*** Range *) -type range (a : Type0) = { +/// Logical operators, defined for unsigned types only, so far +let u8_xor = scalar_lxor #U8 +let u16_xor = scalar_lxor #U16 +let u32_xor = scalar_lxor #U32 +let u64_xor = scalar_lxor #U64 +let u128_xor = scalar_lxor #U128 + +(*** 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; + index_mut_back : self → idx → 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; + deref_mut_back : self → 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 = Return x +let alloc_boxed_Box_deref_mut (t : Type0) (x : t) : result t = Return x +let alloc_boxed_Box_deref_mut_back (t : Type) (_ : t) (x : t) : result t = Return 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; + deref_mut_back = alloc_boxed_Box_deref_mut_back self; +} + (*** Array *) type array (a : Type0) (n : usize) = s:list a{length s = n} @@ -278,15 +376,11 @@ let mk_array (a : Type0) (n : usize) normalize_term_spec (FStar.List.Tot.length l); l -let array_index_shared (a : Type0) (n : usize) (x : array a n) (i : usize) : result a = - if i < length x then Return (index x i) - else Fail Failure - -let array_index_mut_fwd (a : Type0) (n : usize) (x : array a n) (i : usize) : result a = +let array_index_usize (a : Type0) (n : usize) (x : array a n) (i : usize) : result a = if i < length x then Return (index x i) else Fail Failure -let array_index_mut_back (a : Type0) (n : usize) (x : array a n) (i : usize) (nx : a) : result (array a n) = +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 Return (list_update x i nx) else Fail Failure @@ -295,55 +389,54 @@ 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_shared (a : Type0) (x : slice a) (i : usize) : result a = +let slice_index_usize (a : Type0) (x : slice a) (i : usize) : result a = if i < length x then Return (index x i) else Fail Failure -let slice_index_mut_fwd (a : Type0) (x : slice a) (i : usize) : result a = - if i < length x then Return (index x i) - else Fail Failure - -let slice_index_mut_back (a : Type0) (x : slice a) (i : usize) (nx : a) : result (slice a) = +let slice_update_usize (a : Type0) (x : slice a) (i : usize) (nx : a) : result (slice a) = if i < length x then Return (list_update x i nx) else Fail Failure (*** Subslices *) -let array_to_slice_shared (a : Type0) (n : usize) (x : array a n) : result (slice a) = Return x -let array_to_slice_mut_fwd (a : Type0) (n : usize) (x : array a n) : result (slice a) = Return x -let array_to_slice_mut_back (a : Type0) (n : usize) (x : array a n) (s : slice a) : result (array a n) = +let array_to_slice (a : Type0) (n : usize) (x : array a n) : result (slice a) = Return 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 Return s else Fail Failure // TODO: finish the definitions below (there lacks [List.drop] and [List.take] in the standard library *) -let array_subslice_shared (a : Type0) (n : usize) (x : array a n) (r : range usize) : result (slice a) = - admit() - -let array_subslice_mut_fwd (a : Type0) (n : usize) (x : array a n) (r : range usize) : result (slice a) = +let array_subslice (a : Type0) (n : usize) (x : array a n) (r : core_ops_range_Range usize) : result (slice a) = admit() -let array_subslice_mut_back (a : Type0) (n : usize) (x : array a n) (r : range usize) (ns : slice a) : result (array a n) = +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 slice_subslice_shared (a : Type0) (x : slice a) (r : range usize) : result (slice a) = +let array_repeat (a : Type0) (n : usize) (x : a) : array a n = admit() -let slice_subslice_mut_fwd (a : Type0) (x : slice a) (r : range usize) : result (slice a) = +let slice_subslice (a : Type0) (x : slice a) (r : core_ops_range_Range usize) : result (slice a) = admit() -let slice_subslice_mut_back (a : Type0) (x : slice a) (r : range usize) (ns : slice a) : result (slice a) = +let slice_update_subslice (a : Type0) (x : slice a) (r : core_ops_range_Range usize) (ns : slice a) : result (slice a) = admit() (*** Vector *) -type vec (a : Type0) = v:list a{length v <= usize_max} +type alloc_vec_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 +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 Return (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 Return (list_update v i x) else Fail Failure // 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)) +let alloc_vec_Vec_push_fwd (a : Type0) (v : alloc_vec_Vec a) (x : a) : unit = () +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 @@ -358,18 +451,279 @@ let vec_push_back (a : Type0) (v : vec a) (x : a) : else Fail Failure // The **forward** function shouldn't be used -let vec_insert_fwd (a : Type0) (v : vec a) (i : usize) (x : a) : result unit = +let alloc_vec_Vec_insert_fwd (a : Type0) (v : alloc_vec_Vec a) (i : usize) (x : a) : result unit = if i < length v then Return () else Fail Failure -let vec_insert_back (a : Type0) (v : vec a) (i : usize) (x : a) : result (vec a) = +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 Return (list_update v i x) else Fail Failure -// 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 Failure -let vec_index_back (a : Type0) (v : vec a) (i : usize) (x : a) : result unit = - if i < length v then Return () 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); + get_mut_back : self → t → 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; + index_mut_back : self → t → output → result t; +} -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 Failure -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 Failure +// [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 -> Return x + +// [core::slice::index::Range:::get]: forward function +let core_slice_index_Range_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_Range_get_mut + (t : Type0) : core_ops_range_Range usize → slice t → result (option (slice t)) = + admit () // TODO + +// [core::slice::index::Range::get_mut]: backward function 0 +let core_slice_index_Range_get_mut_back + (t : Type0) : + core_ops_range_Range usize → slice t → option (slice t) → result (slice t) = + admit () // TODO + +// [core::slice::index::Range::get_unchecked]: forward function +let core_slice_index_Range_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_Range_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_Range_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_Range_index_mut + (t : Type0) : core_ops_range_Range usize → slice t → result (slice t) = + admit () // TODO + +// [core::slice::index::Range::index_mut]: backward function 0 +let core_slice_index_Range_index_mut_back + (t : Type0) : core_ops_range_Range usize → 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 = + admit () // + +// [core::slice::index::[T]::index_mut]: backward function 0 +let core_slice_index_Slice_index_mut_back + (t idx : Type0) (inst : core_slice_index_SliceIndex idx (slice t)) : + slice t → idx → inst.output → result (slice t) = + admit () // TODO + +// [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 = + admit () // TODO + +// [core::array::[T; N]::index_mut]: backward function 0 +let core_array_Array_index_mut_back + (t idx : Type0) (n : usize) (inst : core_ops_index_IndexMut (slice t) idx) + (a : array t n) (i : idx) (x : inst.indexInst.output) : result (array t n) = + admit () // TODO + +// Trait implementation: [core::slice::index::[T]] +let core_slice_index_Slice_coreopsindexIndexInst (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::private_slice_index::Range] +let core_slice_index_private_slice_index_Range_coresliceindexprivate_slice_indexSealedInst + : core_slice_index_private_slice_index_Sealed (core_ops_range_Range usize) = () + +// Trait implementation: [core::slice::index::Range] +let core_slice_index_Range_coresliceindexSliceIndexInst (t : Type0) : + core_slice_index_SliceIndex (core_ops_range_Range usize) (slice t) = { + sealedInst = core_slice_index_private_slice_index_Range_coresliceindexprivate_slice_indexSealedInst; + output = slice t; + get = core_slice_index_Range_get t; + get_mut = core_slice_index_Range_get_mut t; + get_mut_back = core_slice_index_Range_get_mut_back t; + get_unchecked = core_slice_index_Range_get_unchecked t; + get_unchecked_mut = core_slice_index_Range_get_unchecked_mut t; + index = core_slice_index_Range_index t; + index_mut = core_slice_index_Range_index_mut t; + index_mut_back = core_slice_index_Range_index_mut_back t; +} + +// Trait implementation: [core::slice::index::[T]] +let core_slice_index_Slice_coreopsindexIndexMutInst (t idx : Type0) + (inst : core_slice_index_SliceIndex idx (slice t)) : + core_ops_index_IndexMut (slice t) idx = { + indexInst = core_slice_index_Slice_coreopsindexIndexInst t idx inst; + index_mut = core_slice_index_Slice_index_mut t idx inst; + index_mut_back = core_slice_index_Slice_index_mut_back t idx inst; +} + +// Trait implementation: [core::array::[T; N]] +let core_array_Array_coreopsindexIndexInst (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_array_Array_coreopsindexIndexMutInst (t idx : Type0) (n : usize) + (inst : core_ops_index_IndexMut (slice t) idx) : + core_ops_index_IndexMut (array t n) idx = { + indexInst = core_array_Array_coreopsindexIndexInst t idx n inst.indexInst; + index_mut = core_array_Array_index_mut t idx n inst; + index_mut_back = core_array_Array_index_mut_back 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) = + admit () // TODO + +// [core::slice::index::usize::get_mut]: backward function 0 +let core_slice_index_usize_get_mut_back + (t : Type0) : usize → slice 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 = + admit () // TODO + +// [core::slice::index::usize::index_mut]: backward function 0 +let core_slice_index_usize_index_mut_back + (t : Type0) : usize → slice t → t → result (slice t) = + admit () // TODO + +// Trait implementation: [core::slice::index::private_slice_index::usize] +let core_slice_index_private_slice_index_usize_coresliceindexprivate_slice_indexSealedInst + : core_slice_index_private_slice_index_Sealed usize = () + +// Trait implementation: [core::slice::index::usize] +let core_slice_index_usize_coresliceindexSliceIndexInst (t : Type0) : + core_slice_index_SliceIndex usize (slice t) = { + sealedInst = core_slice_index_private_slice_index_usize_coresliceindexprivate_slice_indexSealedInst; + output = t; + get = core_slice_index_usize_get t; + get_mut = core_slice_index_usize_get_mut t; + get_mut_back = core_slice_index_usize_get_mut_back 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; + index_mut_back = core_slice_index_usize_index_mut_back 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 = + admit () // TODO + +// [alloc::vec::Vec::index_mut]: backward function 0 +let alloc_vec_Vec_index_mut_back + (t idx : Type0) (inst : core_slice_index_SliceIndex idx (slice t)) + (self : alloc_vec_Vec t) (i : idx) (x : 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; + index_mut_back = alloc_vec_Vec_index_mut_back 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_usize_coresliceindexSliceIndexInst a) v i == + alloc_vec_Vec_index_usize v i) + [SMTPat (alloc_vec_Vec_index a usize (core_slice_index_usize_coresliceindexSliceIndexInst 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_usize_coresliceindexSliceIndexInst a) v i == + alloc_vec_Vec_index_usize v i) + [SMTPat (alloc_vec_Vec_index_mut a usize (core_slice_index_usize_coresliceindexSliceIndexInst a) v i)] + = + admit() + +let alloc_vec_Vec_index_mut_back_eq (#a : Type0) (v : alloc_vec_Vec a) (i : usize) (x : a) : + Lemma ( + alloc_vec_Vec_index_mut_back a usize (core_slice_index_usize_coresliceindexSliceIndexInst a) v i x == + alloc_vec_Vec_update_usize v i x) + [SMTPat (alloc_vec_Vec_index_mut_back a usize (core_slice_index_usize_coresliceindexSliceIndexInst a) v i x)] + = + admit() diff --git a/tests/fstar/betree_back_stateful/BetreeMain.Clauses.Template.fst b/tests/fstar/betree_back_stateful/BetreeMain.Clauses.Template.fst index 823df03a..8722f0bf 100644 --- a/tests/fstar/betree_back_stateful/BetreeMain.Clauses.Template.fst +++ b/tests/fstar/betree_back_stateful/BetreeMain.Clauses.Template.fst @@ -8,95 +8,95 @@ open BetreeMain.Types (** [betree_main::betree::List::{1}::len]: decreases clause *) unfold -let betree_list_len_decreases (t : Type0) (self : betree_list_t t) : nat = +let betree_List_len_decreases (t : Type0) (self : betree_List_t t) : nat = admit () (** [betree_main::betree::List::{1}::split_at]: decreases clause *) unfold -let betree_list_split_at_decreases (t : Type0) (self : betree_list_t t) +let betree_List_split_at_decreases (t : Type0) (self : betree_List_t t) (n : u64) : nat = admit () (** [betree_main::betree::List::{2}::partition_at_pivot]: decreases clause *) unfold -let betree_list_partition_at_pivot_decreases (t : Type0) - (self : betree_list_t (u64 & t)) (pivot : u64) : nat = +let betree_List_partition_at_pivot_decreases (t : Type0) + (self : betree_List_t (u64 & t)) (pivot : u64) : nat = admit () (** [betree_main::betree::Node::{5}::lookup_first_message_for_key]: decreases clause *) unfold -let betree_node_lookup_first_message_for_key_decreases (key : u64) - (msgs : betree_list_t (u64 & betree_message_t)) : nat = +let betree_Node_lookup_first_message_for_key_decreases (key : u64) + (msgs : betree_List_t (u64 & betree_Message_t)) : nat = admit () (** [betree_main::betree::Node::{5}::apply_upserts]: decreases clause *) unfold -let betree_node_apply_upserts_decreases - (msgs : betree_list_t (u64 & betree_message_t)) (prev : option u64) +let betree_Node_apply_upserts_decreases + (msgs : betree_List_t (u64 & betree_Message_t)) (prev : option u64) (key : u64) (st : state) : nat = admit () (** [betree_main::betree::Node::{5}::lookup_in_bindings]: decreases clause *) unfold -let betree_node_lookup_in_bindings_decreases (key : u64) - (bindings : betree_list_t (u64 & u64)) : nat = +let betree_Node_lookup_in_bindings_decreases (key : u64) + (bindings : betree_List_t (u64 & u64)) : nat = admit () (** [betree_main::betree::Internal::{4}::lookup_in_children]: decreases clause *) unfold -let betree_internal_lookup_in_children_decreases (self : betree_internal_t) +let betree_Internal_lookup_in_children_decreases (self : betree_Internal_t) (key : u64) (st : state) : nat = admit () (** [betree_main::betree::Node::{5}::lookup]: decreases clause *) unfold -let betree_node_lookup_decreases (self : betree_node_t) (key : u64) +let betree_Node_lookup_decreases (self : betree_Node_t) (key : u64) (st : state) : nat = admit () (** [betree_main::betree::Node::{5}::filter_messages_for_key]: decreases clause *) unfold -let betree_node_filter_messages_for_key_decreases (key : u64) - (msgs : betree_list_t (u64 & betree_message_t)) : nat = +let betree_Node_filter_messages_for_key_decreases (key : u64) + (msgs : betree_List_t (u64 & betree_Message_t)) : nat = admit () (** [betree_main::betree::Node::{5}::lookup_first_message_after_key]: decreases clause *) unfold -let betree_node_lookup_first_message_after_key_decreases (key : u64) - (msgs : betree_list_t (u64 & betree_message_t)) : nat = +let betree_Node_lookup_first_message_after_key_decreases (key : u64) + (msgs : betree_List_t (u64 & betree_Message_t)) : nat = admit () (** [betree_main::betree::Node::{5}::apply_messages_to_internal]: decreases clause *) unfold -let betree_node_apply_messages_to_internal_decreases - (msgs : betree_list_t (u64 & betree_message_t)) - (new_msgs : betree_list_t (u64 & betree_message_t)) : nat = +let betree_Node_apply_messages_to_internal_decreases + (msgs : betree_List_t (u64 & betree_Message_t)) + (new_msgs : betree_List_t (u64 & betree_Message_t)) : nat = admit () (** [betree_main::betree::Node::{5}::lookup_mut_in_bindings]: decreases clause *) unfold -let betree_node_lookup_mut_in_bindings_decreases (key : u64) - (bindings : betree_list_t (u64 & u64)) : nat = +let betree_Node_lookup_mut_in_bindings_decreases (key : u64) + (bindings : betree_List_t (u64 & u64)) : nat = admit () (** [betree_main::betree::Node::{5}::apply_messages_to_leaf]: decreases clause *) unfold -let betree_node_apply_messages_to_leaf_decreases - (bindings : betree_list_t (u64 & u64)) - (new_msgs : betree_list_t (u64 & betree_message_t)) : nat = +let betree_Node_apply_messages_to_leaf_decreases + (bindings : betree_List_t (u64 & u64)) + (new_msgs : betree_List_t (u64 & betree_Message_t)) : nat = admit () (** [betree_main::betree::Internal::{4}::flush]: decreases clause *) unfold -let betree_internal_flush_decreases (self : betree_internal_t) - (params : betree_params_t) (node_id_cnt : betree_node_id_counter_t) - (content : betree_list_t (u64 & betree_message_t)) (st : state) : nat = +let betree_Internal_flush_decreases (self : betree_Internal_t) + (params : betree_Params_t) (node_id_cnt : betree_NodeIdCounter_t) + (content : betree_List_t (u64 & betree_Message_t)) (st : state) : nat = admit () (** [betree_main::betree::Node::{5}::apply_messages]: decreases clause *) unfold -let betree_node_apply_messages_decreases (self : betree_node_t) - (params : betree_params_t) (node_id_cnt : betree_node_id_counter_t) - (msgs : betree_list_t (u64 & betree_message_t)) (st : state) : nat = +let betree_Node_apply_messages_decreases (self : betree_Node_t) + (params : betree_Params_t) (node_id_cnt : betree_NodeIdCounter_t) + (msgs : betree_List_t (u64 & betree_Message_t)) (st : state) : nat = admit () diff --git a/tests/fstar/betree_back_stateful/BetreeMain.Clauses.fst b/tests/fstar/betree_back_stateful/BetreeMain.Clauses.fst index 07484711..cda7b920 100644 --- a/tests/fstar/betree_back_stateful/BetreeMain.Clauses.fst +++ b/tests/fstar/betree_back_stateful/BetreeMain.Clauses.fst @@ -8,8 +8,8 @@ open BetreeMain.Types (*** Well-founded relations *) (* We had a few issues when proving termination of the mutually recursive functions: - * - betree_internal_flush - * - betree_node_apply_messages + * - betree_Internal_flush + * - betree_Node_apply_messages * * The quantity which effectively decreases is: * (betree_size, messages_length) @@ -103,108 +103,108 @@ let wf_nat_pair_lem (p0 p1 : nat_pair) : (** [betree_main::betree::List::{1}::len]: decreases clause *) unfold -let betree_list_len_decreases (t : Type0) (self : betree_list_t t) : betree_list_t t = +let betree_List_len_decreases (t : Type0) (self : betree_List_t t) : betree_List_t t = self (** [betree_main::betree::List::{1}::split_at]: decreases clause *) unfold -let betree_list_split_at_decreases (t : Type0) (self : betree_list_t t) +let betree_List_split_at_decreases (t : Type0) (self : betree_List_t t) (n : u64) : nat = n (** [betree_main::betree::List::{2}::partition_at_pivot]: decreases clause *) unfold -let betree_list_partition_at_pivot_decreases (t : Type0) - (self : betree_list_t (u64 & t)) (pivot : u64) : betree_list_t (u64 & t) = +let betree_List_partition_at_pivot_decreases (t : Type0) + (self : betree_List_t (u64 & t)) (pivot : u64) : betree_List_t (u64 & t) = self (** [betree_main::betree::Node::{5}::lookup_in_bindings]: decreases clause *) unfold -let betree_node_lookup_in_bindings_decreases (key : u64) - (bindings : betree_list_t (u64 & u64)) : betree_list_t (u64 & u64) = +let betree_Node_lookup_in_bindings_decreases (key : u64) + (bindings : betree_List_t (u64 & u64)) : betree_List_t (u64 & u64) = bindings (** [betree_main::betree::Node::{5}::lookup_first_message_for_key]: decreases clause *) unfold -let betree_node_lookup_first_message_for_key_decreases (key : u64) - (msgs : betree_list_t (u64 & betree_message_t)) : betree_list_t (u64 & betree_message_t) = +let betree_Node_lookup_first_message_for_key_decreases (key : u64) + (msgs : betree_List_t (u64 & betree_Message_t)) : betree_List_t (u64 & betree_Message_t) = msgs (** [betree_main::betree::Node::{5}::apply_upserts]: decreases clause *) unfold -let betree_node_apply_upserts_decreases - (msgs : betree_list_t (u64 & betree_message_t)) (prev : option u64) - (key : u64) (st : state) : betree_list_t (u64 & betree_message_t) = +let betree_Node_apply_upserts_decreases + (msgs : betree_List_t (u64 & betree_Message_t)) (prev : option u64) + (key : u64) (st : state) : betree_List_t (u64 & betree_Message_t) = msgs (** [betree_main::betree::Internal::{4}::lookup_in_children]: decreases clause *) unfold -let betree_internal_lookup_in_children_decreases (self : betree_internal_t) - (key : u64) (st : state) : betree_internal_t = +let betree_Internal_lookup_in_children_decreases (self : betree_Internal_t) + (key : u64) (st : state) : betree_Internal_t = self (** [betree_main::betree::Node::{5}::lookup]: decreases clause *) unfold -let betree_node_lookup_decreases (self : betree_node_t) (key : u64) - (st : state) : betree_node_t = +let betree_Node_lookup_decreases (self : betree_Node_t) (key : u64) + (st : state) : betree_Node_t = self (** [betree_main::betree::Node::{5}::lookup_mut_in_bindings]: decreases clause *) unfold -let betree_node_lookup_mut_in_bindings_decreases (key : u64) - (bindings : betree_list_t (u64 & u64)) : betree_list_t (u64 & u64) = +let betree_Node_lookup_mut_in_bindings_decreases (key : u64) + (bindings : betree_List_t (u64 & u64)) : betree_List_t (u64 & u64) = bindings unfold -let betree_node_apply_messages_to_leaf_decreases - (bindings : betree_list_t (u64 & u64)) - (new_msgs : betree_list_t (u64 & betree_message_t)) : betree_list_t (u64 & betree_message_t) = +let betree_Node_apply_messages_to_leaf_decreases + (bindings : betree_List_t (u64 & u64)) + (new_msgs : betree_List_t (u64 & betree_Message_t)) : betree_List_t (u64 & betree_Message_t) = new_msgs (** [betree_main::betree::Node::{5}::filter_messages_for_key]: decreases clause *) unfold -let betree_node_filter_messages_for_key_decreases (key : u64) - (msgs : betree_list_t (u64 & betree_message_t)) : betree_list_t (u64 & betree_message_t) = +let betree_Node_filter_messages_for_key_decreases (key : u64) + (msgs : betree_List_t (u64 & betree_Message_t)) : betree_List_t (u64 & betree_Message_t) = msgs (** [betree_main::betree::Node::{5}::lookup_first_message_after_key]: decreases clause *) unfold -let betree_node_lookup_first_message_after_key_decreases (key : u64) - (msgs : betree_list_t (u64 & betree_message_t)) : betree_list_t (u64 & betree_message_t) = +let betree_Node_lookup_first_message_after_key_decreases (key : u64) + (msgs : betree_List_t (u64 & betree_Message_t)) : betree_List_t (u64 & betree_Message_t) = msgs -let betree_node_apply_messages_to_internal_decreases - (msgs : betree_list_t (u64 & betree_message_t)) - (new_msgs : betree_list_t (u64 & betree_message_t)) : betree_list_t (u64 & betree_message_t) = +let betree_Node_apply_messages_to_internal_decreases + (msgs : betree_List_t (u64 & betree_Message_t)) + (new_msgs : betree_List_t (u64 & betree_Message_t)) : betree_List_t (u64 & betree_Message_t) = new_msgs (*** Decrease clauses - nat_pair *) /// The following decrease clauses use the [nat_pair] definition and the well-founded /// relation proven above. -let rec betree_size (bt : betree_node_t) : nat = +let rec betree_size (bt : betree_Node_t) : nat = match bt with - | BetreeNodeInternal node -> 1 + betree_internal_size node - | BetreeNodeLeaf _ -> 1 + | Betree_Node_Internal node -> 1 + betree_Internal_size node + | Betree_Node_Leaf _ -> 1 -and betree_internal_size (node : betree_internal_t) : nat = - 1 + betree_size node.betree_internal_left + betree_size node.betree_internal_right +and betree_Internal_size (node : betree_Internal_t) : nat = + 1 + betree_size node.left + betree_size node.right -let rec betree_list_len (#a : Type0) (ls : betree_list_t a) : nat = +let rec betree_List_len (#a : Type0) (ls : betree_List_t a) : nat = match ls with - | BetreeListCons _ tl -> 1 + betree_list_len tl - | BetreeListNil -> 0 + | Betree_List_Cons _ tl -> 1 + betree_List_len tl + | Betree_List_Nil -> 0 (** [betree_main::betree::Internal::{4}::flush]: decreases clause *) unfold -let betree_internal_flush_decreases (self : betree_internal_t) - (params : betree_params_t) (node_id_cnt : betree_node_id_counter_t) - (content : betree_list_t (u64 & betree_message_t)) (st : state) : nat_pair = - (|betree_internal_size self, 0|) +let betree_Internal_flush_decreases (self : betree_Internal_t) + (params : betree_Params_t) (node_id_cnt : betree_NodeIdCounter_t) + (content : betree_List_t (u64 & betree_Message_t)) (st : state) : nat_pair = + (|betree_Internal_size self, 0|) (** [betree_main::betree::Node::{5}::apply_messages]: decreases clause *) unfold -let betree_node_apply_messages_decreases (self : betree_node_t) - (params : betree_params_t) (node_id_cnt : betree_node_id_counter_t) - (msgs : betree_list_t (u64 & betree_message_t)) (st : state) : nat_pair = - (|betree_size self, betree_list_len msgs|) +let betree_Node_apply_messages_decreases (self : betree_Node_t) + (params : betree_Params_t) (node_id_cnt : betree_NodeIdCounter_t) + (msgs : betree_List_t (u64 & betree_Message_t)) (st : state) : nat_pair = + (|betree_size self, betree_List_len msgs|) diff --git a/tests/fstar/betree_back_stateful/BetreeMain.Funs.fst b/tests/fstar/betree_back_stateful/BetreeMain.Funs.fst index 3d08cd3c..08c4f615 100644 --- a/tests/fstar/betree_back_stateful/BetreeMain.Funs.fst +++ b/tests/fstar/betree_back_stateful/BetreeMain.Funs.fst @@ -9,35 +9,35 @@ include BetreeMain.Clauses #set-options "--z3rlimit 50 --fuel 1 --ifuel 1" (** [betree_main::betree::load_internal_node]: forward function *) -let betree_load_internal_node_fwd +let betree_load_internal_node (id : u64) (st : state) : - result (state & (betree_list_t (u64 & betree_message_t))) + result (state & (betree_List_t (u64 & betree_Message_t))) = - betree_utils_load_internal_node_fwd id st + betree_utils_load_internal_node id st (** [betree_main::betree::store_internal_node]: forward function *) -let betree_store_internal_node_fwd - (id : u64) (content : betree_list_t (u64 & betree_message_t)) (st : state) : +let betree_store_internal_node + (id : u64) (content : betree_List_t (u64 & betree_Message_t)) (st : state) : result (state & unit) = - let* (st0, _) = betree_utils_store_internal_node_fwd id content st in + let* (st0, _) = betree_utils_store_internal_node id content st in Return (st0, ()) (** [betree_main::betree::load_leaf_node]: forward function *) -let betree_load_leaf_node_fwd - (id : u64) (st : state) : result (state & (betree_list_t (u64 & u64))) = - betree_utils_load_leaf_node_fwd id st +let betree_load_leaf_node + (id : u64) (st : state) : result (state & (betree_List_t (u64 & u64))) = + betree_utils_load_leaf_node id st (** [betree_main::betree::store_leaf_node]: forward function *) -let betree_store_leaf_node_fwd - (id : u64) (content : betree_list_t (u64 & u64)) (st : state) : +let betree_store_leaf_node + (id : u64) (content : betree_List_t (u64 & u64)) (st : state) : result (state & unit) = - let* (st0, _) = betree_utils_store_leaf_node_fwd id content st in + let* (st0, _) = betree_utils_store_leaf_node id content st in Return (st0, ()) (** [betree_main::betree::fresh_node_id]: forward function *) -let betree_fresh_node_id_fwd (counter : u64) : result u64 = +let betree_fresh_node_id (counter : u64) : result u64 = let* _ = u64_add counter 1 in Return counter (** [betree_main::betree::fresh_node_id]: backward function 0 *) @@ -45,1208 +45,1123 @@ let betree_fresh_node_id_back (counter : u64) : result u64 = u64_add counter 1 (** [betree_main::betree::NodeIdCounter::{0}::new]: forward function *) -let betree_node_id_counter_new_fwd : result betree_node_id_counter_t = - Return { betree_node_id_counter_next_node_id = 0 } +let betree_NodeIdCounter_new : result betree_NodeIdCounter_t = + Return { next_node_id = 0 } (** [betree_main::betree::NodeIdCounter::{0}::fresh_id]: forward function *) -let betree_node_id_counter_fresh_id_fwd - (self : betree_node_id_counter_t) : result u64 = - let* _ = u64_add self.betree_node_id_counter_next_node_id 1 in - Return self.betree_node_id_counter_next_node_id +let betree_NodeIdCounter_fresh_id + (self : betree_NodeIdCounter_t) : result u64 = + let* _ = u64_add self.next_node_id 1 in Return self.next_node_id (** [betree_main::betree::NodeIdCounter::{0}::fresh_id]: backward function 0 *) -let betree_node_id_counter_fresh_id_back - (self : betree_node_id_counter_t) : result betree_node_id_counter_t = - let* i = u64_add self.betree_node_id_counter_next_node_id 1 in - Return { betree_node_id_counter_next_node_id = i } - -(** [core::num::u64::{9}::MAX] *) -let core_num_u64_max_body : result u64 = Return 18446744073709551615 -let core_num_u64_max_c : u64 = eval_global core_num_u64_max_body +let betree_NodeIdCounter_fresh_id_back + (self : betree_NodeIdCounter_t) : result betree_NodeIdCounter_t = + let* i = u64_add self.next_node_id 1 in Return { next_node_id = i } (** [betree_main::betree::upsert_update]: forward function *) -let betree_upsert_update_fwd - (prev : option u64) (st : betree_upsert_fun_state_t) : result u64 = +let betree_upsert_update + (prev : option u64) (st : betree_UpsertFunState_t) : result u64 = begin match prev with | None -> begin match st with - | BetreeUpsertFunStateAdd v -> Return v - | BetreeUpsertFunStateSub i -> Return 0 + | Betree_UpsertFunState_Add v -> Return v + | Betree_UpsertFunState_Sub i -> Return 0 end | Some prev0 -> begin match st with - | BetreeUpsertFunStateAdd v -> - let* margin = u64_sub core_num_u64_max_c prev0 in - if margin >= v then u64_add prev0 v else Return core_num_u64_max_c - | BetreeUpsertFunStateSub v -> + | Betree_UpsertFunState_Add v -> + let* margin = u64_sub core_u64_max prev0 in + if margin >= v then u64_add prev0 v else Return core_u64_max + | Betree_UpsertFunState_Sub v -> if prev0 >= v then u64_sub prev0 v else Return 0 end end (** [betree_main::betree::List::{1}::len]: forward function *) -let rec betree_list_len_fwd - (t : Type0) (self : betree_list_t t) : - Tot (result u64) (decreases (betree_list_len_decreases t self)) +let rec betree_List_len + (t : Type0) (self : betree_List_t t) : + Tot (result u64) (decreases (betree_List_len_decreases t self)) = begin match self with - | BetreeListCons x tl -> let* i = betree_list_len_fwd t tl in u64_add 1 i - | BetreeListNil -> Return 0 + | Betree_List_Cons x tl -> let* i = betree_List_len t tl in u64_add 1 i + | Betree_List_Nil -> Return 0 end (** [betree_main::betree::List::{1}::split_at]: forward function *) -let rec betree_list_split_at_fwd - (t : Type0) (self : betree_list_t t) (n : u64) : - Tot (result ((betree_list_t t) & (betree_list_t t))) - (decreases (betree_list_split_at_decreases t self n)) +let rec betree_List_split_at + (t : Type0) (self : betree_List_t t) (n : u64) : + Tot (result ((betree_List_t t) & (betree_List_t t))) + (decreases (betree_List_split_at_decreases t self n)) = if n = 0 - then Return (BetreeListNil, self) + then Return (Betree_List_Nil, self) else begin match self with - | BetreeListCons hd tl -> + | Betree_List_Cons hd tl -> let* i = u64_sub n 1 in - let* p = betree_list_split_at_fwd t tl i in + let* p = betree_List_split_at t tl i in let (ls0, ls1) = p in let l = ls0 in - Return (BetreeListCons hd l, ls1) - | BetreeListNil -> Fail Failure + Return (Betree_List_Cons hd l, ls1) + | Betree_List_Nil -> Fail Failure end (** [betree_main::betree::List::{1}::push_front]: merged forward/backward function (there is a single backward function, and the forward function returns ()) *) -let betree_list_push_front_fwd_back - (t : Type0) (self : betree_list_t t) (x : t) : result (betree_list_t t) = - let tl = mem_replace_fwd (betree_list_t t) self BetreeListNil in +let betree_List_push_front + (t : Type0) (self : betree_List_t t) (x : t) : result (betree_List_t t) = + let tl = core_mem_replace (betree_List_t t) self Betree_List_Nil in let l = tl in - Return (BetreeListCons x l) + Return (Betree_List_Cons x l) (** [betree_main::betree::List::{1}::pop_front]: forward function *) -let betree_list_pop_front_fwd (t : Type0) (self : betree_list_t t) : result t = - let ls = mem_replace_fwd (betree_list_t t) self BetreeListNil in +let betree_List_pop_front (t : Type0) (self : betree_List_t t) : result t = + let ls = core_mem_replace (betree_List_t t) self Betree_List_Nil in begin match ls with - | BetreeListCons x tl -> Return x - | BetreeListNil -> Fail Failure + | Betree_List_Cons x tl -> Return x + | Betree_List_Nil -> Fail Failure end (** [betree_main::betree::List::{1}::pop_front]: backward function 0 *) -let betree_list_pop_front_back - (t : Type0) (self : betree_list_t t) : result (betree_list_t t) = - let ls = mem_replace_fwd (betree_list_t t) self BetreeListNil in +let betree_List_pop_front_back + (t : Type0) (self : betree_List_t t) : result (betree_List_t t) = + let ls = core_mem_replace (betree_List_t t) self Betree_List_Nil in begin match ls with - | BetreeListCons x tl -> Return tl - | BetreeListNil -> Fail Failure + | Betree_List_Cons x tl -> Return tl + | Betree_List_Nil -> Fail Failure end (** [betree_main::betree::List::{1}::hd]: forward function *) -let betree_list_hd_fwd (t : Type0) (self : betree_list_t t) : result t = +let betree_List_hd (t : Type0) (self : betree_List_t t) : result t = begin match self with - | BetreeListCons hd l -> Return hd - | BetreeListNil -> Fail Failure + | Betree_List_Cons hd l -> Return hd + | Betree_List_Nil -> Fail Failure end (** [betree_main::betree::List::{2}::head_has_key]: forward function *) -let betree_list_head_has_key_fwd - (t : Type0) (self : betree_list_t (u64 & t)) (key : u64) : result bool = +let betree_List_head_has_key + (t : Type0) (self : betree_List_t (u64 & t)) (key : u64) : result bool = begin match self with - | BetreeListCons hd l -> let (i, _) = hd in Return (i = key) - | BetreeListNil -> Return false + | Betree_List_Cons hd l -> let (i, _) = hd in Return (i = key) + | Betree_List_Nil -> Return false end (** [betree_main::betree::List::{2}::partition_at_pivot]: forward function *) -let rec betree_list_partition_at_pivot_fwd - (t : Type0) (self : betree_list_t (u64 & t)) (pivot : u64) : - Tot (result ((betree_list_t (u64 & t)) & (betree_list_t (u64 & t)))) - (decreases (betree_list_partition_at_pivot_decreases t self pivot)) +let rec betree_List_partition_at_pivot + (t : Type0) (self : betree_List_t (u64 & t)) (pivot : u64) : + Tot (result ((betree_List_t (u64 & t)) & (betree_List_t (u64 & t)))) + (decreases (betree_List_partition_at_pivot_decreases t self pivot)) = begin match self with - | BetreeListCons hd tl -> + | Betree_List_Cons hd tl -> let (i, x) = hd in if i >= pivot - then Return (BetreeListNil, BetreeListCons (i, x) tl) + then Return (Betree_List_Nil, Betree_List_Cons (i, x) tl) else - let* p = betree_list_partition_at_pivot_fwd t tl pivot in + let* p = betree_List_partition_at_pivot t tl pivot in let (ls0, ls1) = p in let l = ls0 in - Return (BetreeListCons (i, x) l, ls1) - | BetreeListNil -> Return (BetreeListNil, BetreeListNil) + Return (Betree_List_Cons (i, x) l, ls1) + | Betree_List_Nil -> Return (Betree_List_Nil, Betree_List_Nil) end (** [betree_main::betree::Leaf::{3}::split]: forward function *) -let betree_leaf_split_fwd - (self : betree_leaf_t) (content : betree_list_t (u64 & u64)) - (params : betree_params_t) (node_id_cnt : betree_node_id_counter_t) +let betree_Leaf_split + (self : betree_Leaf_t) (content : betree_List_t (u64 & u64)) + (params : betree_Params_t) (node_id_cnt : betree_NodeIdCounter_t) (st : state) : - result (state & betree_internal_t) + result (state & betree_Internal_t) = - let* p = - betree_list_split_at_fwd (u64 & u64) content - params.betree_params_split_size in + let* p = betree_List_split_at (u64 & u64) content params.split_size in let (content0, content1) = p in - let* p0 = betree_list_hd_fwd (u64 & u64) content1 in + let* p0 = betree_List_hd (u64 & u64) content1 in let (pivot, _) = p0 in - let* id0 = betree_node_id_counter_fresh_id_fwd node_id_cnt in - let* node_id_cnt0 = betree_node_id_counter_fresh_id_back node_id_cnt in - let* id1 = betree_node_id_counter_fresh_id_fwd node_id_cnt0 in - let* (st0, _) = betree_store_leaf_node_fwd id0 content0 st in - let* (st1, _) = betree_store_leaf_node_fwd id1 content1 st0 in - let n = BetreeNodeLeaf - { betree_leaf_id = id0; betree_leaf_size = params.betree_params_split_size - } in - let n0 = BetreeNodeLeaf - { betree_leaf_id = id1; betree_leaf_size = params.betree_params_split_size - } in - Return (st1, - { - betree_internal_id = self.betree_leaf_id; - betree_internal_pivot = pivot; - betree_internal_left = n; - betree_internal_right = n0 - }) + let* id0 = betree_NodeIdCounter_fresh_id node_id_cnt in + let* node_id_cnt0 = betree_NodeIdCounter_fresh_id_back node_id_cnt in + let* id1 = betree_NodeIdCounter_fresh_id node_id_cnt0 in + let* (st0, _) = betree_store_leaf_node id0 content0 st in + let* (st1, _) = betree_store_leaf_node id1 content1 st0 in + let n = Betree_Node_Leaf { id = id0; size = params.split_size } in + let n0 = Betree_Node_Leaf { id = id1; size = params.split_size } in + Return (st1, { id = self.id; pivot = pivot; left = n; right = n0 }) (** [betree_main::betree::Leaf::{3}::split]: backward function 0 *) -let betree_leaf_split_back0 - (self : betree_leaf_t) (content : betree_list_t (u64 & u64)) - (params : betree_params_t) (node_id_cnt : betree_node_id_counter_t) +let betree_Leaf_split_back0 + (self : betree_Leaf_t) (content : betree_List_t (u64 & u64)) + (params : betree_Params_t) (node_id_cnt : betree_NodeIdCounter_t) (st : state) (st0 : state) : result (state & unit) = - let* p = - betree_list_split_at_fwd (u64 & u64) content - params.betree_params_split_size in + let* p = betree_List_split_at (u64 & u64) content params.split_size in let (content0, content1) = p in - let* _ = betree_list_hd_fwd (u64 & u64) content1 in - let* id0 = betree_node_id_counter_fresh_id_fwd node_id_cnt in - let* node_id_cnt0 = betree_node_id_counter_fresh_id_back node_id_cnt in - let* id1 = betree_node_id_counter_fresh_id_fwd node_id_cnt0 in - let* (st1, _) = betree_store_leaf_node_fwd id0 content0 st in - let* _ = betree_store_leaf_node_fwd id1 content1 st1 in + let* _ = betree_List_hd (u64 & u64) content1 in + let* id0 = betree_NodeIdCounter_fresh_id node_id_cnt in + let* node_id_cnt0 = betree_NodeIdCounter_fresh_id_back node_id_cnt in + let* id1 = betree_NodeIdCounter_fresh_id node_id_cnt0 in + let* (st1, _) = betree_store_leaf_node id0 content0 st in + let* _ = betree_store_leaf_node id1 content1 st1 in Return (st0, ()) (** [betree_main::betree::Leaf::{3}::split]: backward function 1 *) -let betree_leaf_split_back1 - (self : betree_leaf_t) (content : betree_list_t (u64 & u64)) - (params : betree_params_t) (node_id_cnt : betree_node_id_counter_t) +let betree_Leaf_split_back1 + (self : betree_Leaf_t) (content : betree_List_t (u64 & u64)) + (params : betree_Params_t) (node_id_cnt : betree_NodeIdCounter_t) (st : state) (st0 : state) : result (state & unit) = - let* p = - betree_list_split_at_fwd (u64 & u64) content - params.betree_params_split_size in + let* p = betree_List_split_at (u64 & u64) content params.split_size in let (content0, content1) = p in - let* _ = betree_list_hd_fwd (u64 & u64) content1 in - let* id0 = betree_node_id_counter_fresh_id_fwd node_id_cnt in - let* node_id_cnt0 = betree_node_id_counter_fresh_id_back node_id_cnt in - let* id1 = betree_node_id_counter_fresh_id_fwd node_id_cnt0 in - let* (st1, _) = betree_store_leaf_node_fwd id0 content0 st in - let* _ = betree_store_leaf_node_fwd id1 content1 st1 in + let* _ = betree_List_hd (u64 & u64) content1 in + let* id0 = betree_NodeIdCounter_fresh_id node_id_cnt in + let* node_id_cnt0 = betree_NodeIdCounter_fresh_id_back node_id_cnt in + let* id1 = betree_NodeIdCounter_fresh_id node_id_cnt0 in + let* (st1, _) = betree_store_leaf_node id0 content0 st in + let* _ = betree_store_leaf_node id1 content1 st1 in Return (st0, ()) (** [betree_main::betree::Leaf::{3}::split]: backward function 2 *) -let betree_leaf_split_back2 - (self : betree_leaf_t) (content : betree_list_t (u64 & u64)) - (params : betree_params_t) (node_id_cnt : betree_node_id_counter_t) +let betree_Leaf_split_back2 + (self : betree_Leaf_t) (content : betree_List_t (u64 & u64)) + (params : betree_Params_t) (node_id_cnt : betree_NodeIdCounter_t) (st : state) (st0 : state) : - result (state & betree_node_id_counter_t) + result (state & betree_NodeIdCounter_t) = - let* p = - betree_list_split_at_fwd (u64 & u64) content - params.betree_params_split_size in + let* p = betree_List_split_at (u64 & u64) content params.split_size in let (content0, content1) = p in - let* _ = betree_list_hd_fwd (u64 & u64) content1 in - let* id0 = betree_node_id_counter_fresh_id_fwd node_id_cnt in - let* node_id_cnt0 = betree_node_id_counter_fresh_id_back node_id_cnt in - let* id1 = betree_node_id_counter_fresh_id_fwd node_id_cnt0 in - let* (st1, _) = betree_store_leaf_node_fwd id0 content0 st in - let* _ = betree_store_leaf_node_fwd id1 content1 st1 in - let* node_id_cnt1 = betree_node_id_counter_fresh_id_back node_id_cnt0 in + let* _ = betree_List_hd (u64 & u64) content1 in + let* id0 = betree_NodeIdCounter_fresh_id node_id_cnt in + let* node_id_cnt0 = betree_NodeIdCounter_fresh_id_back node_id_cnt in + let* id1 = betree_NodeIdCounter_fresh_id node_id_cnt0 in + let* (st1, _) = betree_store_leaf_node id0 content0 st in + let* _ = betree_store_leaf_node id1 content1 st1 in + let* node_id_cnt1 = betree_NodeIdCounter_fresh_id_back node_id_cnt0 in Return (st0, node_id_cnt1) (** [betree_main::betree::Node::{5}::lookup_first_message_for_key]: forward function *) -let rec betree_node_lookup_first_message_for_key_fwd - (key : u64) (msgs : betree_list_t (u64 & betree_message_t)) : - Tot (result (betree_list_t (u64 & betree_message_t))) - (decreases (betree_node_lookup_first_message_for_key_decreases key msgs)) +let rec betree_Node_lookup_first_message_for_key + (key : u64) (msgs : betree_List_t (u64 & betree_Message_t)) : + Tot (result (betree_List_t (u64 & betree_Message_t))) + (decreases (betree_Node_lookup_first_message_for_key_decreases key msgs)) = begin match msgs with - | BetreeListCons x next_msgs -> + | Betree_List_Cons x next_msgs -> let (i, m) = x in if i >= key - then Return (BetreeListCons (i, m) next_msgs) - else betree_node_lookup_first_message_for_key_fwd key next_msgs - | BetreeListNil -> Return BetreeListNil + then Return (Betree_List_Cons (i, m) next_msgs) + else betree_Node_lookup_first_message_for_key key next_msgs + | Betree_List_Nil -> Return Betree_List_Nil end (** [betree_main::betree::Node::{5}::lookup_first_message_for_key]: backward function 0 *) -let rec betree_node_lookup_first_message_for_key_back - (key : u64) (msgs : betree_list_t (u64 & betree_message_t)) - (ret : betree_list_t (u64 & betree_message_t)) : - Tot (result (betree_list_t (u64 & betree_message_t))) - (decreases (betree_node_lookup_first_message_for_key_decreases key msgs)) +let rec betree_Node_lookup_first_message_for_key_back + (key : u64) (msgs : betree_List_t (u64 & betree_Message_t)) + (ret : betree_List_t (u64 & betree_Message_t)) : + Tot (result (betree_List_t (u64 & betree_Message_t))) + (decreases (betree_Node_lookup_first_message_for_key_decreases key msgs)) = begin match msgs with - | BetreeListCons x next_msgs -> + | Betree_List_Cons x next_msgs -> let (i, m) = x in if i >= key then Return ret else let* next_msgs0 = - betree_node_lookup_first_message_for_key_back key next_msgs ret in - Return (BetreeListCons (i, m) next_msgs0) - | BetreeListNil -> Return ret + betree_Node_lookup_first_message_for_key_back key next_msgs ret in + Return (Betree_List_Cons (i, m) next_msgs0) + | Betree_List_Nil -> Return ret end (** [betree_main::betree::Node::{5}::apply_upserts]: forward function *) -let rec betree_node_apply_upserts_fwd - (msgs : betree_list_t (u64 & betree_message_t)) (prev : option u64) +let rec betree_Node_apply_upserts + (msgs : betree_List_t (u64 & betree_Message_t)) (prev : option u64) (key : u64) (st : state) : Tot (result (state & u64)) - (decreases (betree_node_apply_upserts_decreases msgs prev key st)) + (decreases (betree_Node_apply_upserts_decreases msgs prev key st)) = - let* b = betree_list_head_has_key_fwd betree_message_t msgs key in + let* b = betree_List_head_has_key betree_Message_t msgs key in if b then - let* msg = betree_list_pop_front_fwd (u64 & betree_message_t) msgs in + let* msg = betree_List_pop_front (u64 & betree_Message_t) msgs in let (_, m) = msg in begin match m with - | BetreeMessageInsert i -> Fail Failure - | BetreeMessageDelete -> Fail Failure - | BetreeMessageUpsert s -> - let* v = betree_upsert_update_fwd prev s in - let* msgs0 = betree_list_pop_front_back (u64 & betree_message_t) msgs in - betree_node_apply_upserts_fwd msgs0 (Some v) key st + | Betree_Message_Insert i -> Fail Failure + | Betree_Message_Delete -> Fail Failure + | Betree_Message_Upsert s -> + let* v = betree_upsert_update prev s in + let* msgs0 = betree_List_pop_front_back (u64 & betree_Message_t) msgs in + betree_Node_apply_upserts msgs0 (Some v) key st end else - let* (st0, v) = core_option_option_unwrap_fwd u64 prev st in + let* (st0, v) = core_option_Option_unwrap u64 prev st in let* _ = - betree_list_push_front_fwd_back (u64 & betree_message_t) msgs (key, - BetreeMessageInsert v) in + betree_List_push_front (u64 & betree_Message_t) msgs (key, + Betree_Message_Insert v) in Return (st0, v) (** [betree_main::betree::Node::{5}::apply_upserts]: backward function 0 *) -let rec betree_node_apply_upserts_back - (msgs : betree_list_t (u64 & betree_message_t)) (prev : option u64) +let rec betree_Node_apply_upserts_back + (msgs : betree_List_t (u64 & betree_Message_t)) (prev : option u64) (key : u64) (st : state) (st0 : state) : - Tot (result (state & (betree_list_t (u64 & betree_message_t)))) - (decreases (betree_node_apply_upserts_decreases msgs prev key st)) + Tot (result (state & (betree_List_t (u64 & betree_Message_t)))) + (decreases (betree_Node_apply_upserts_decreases msgs prev key st)) = - let* b = betree_list_head_has_key_fwd betree_message_t msgs key in + let* b = betree_List_head_has_key betree_Message_t msgs key in if b then - let* msg = betree_list_pop_front_fwd (u64 & betree_message_t) msgs in + let* msg = betree_List_pop_front (u64 & betree_Message_t) msgs in let (_, m) = msg in begin match m with - | BetreeMessageInsert i -> Fail Failure - | BetreeMessageDelete -> Fail Failure - | BetreeMessageUpsert s -> - let* v = betree_upsert_update_fwd prev s in - let* msgs0 = betree_list_pop_front_back (u64 & betree_message_t) msgs in - betree_node_apply_upserts_back msgs0 (Some v) key st st0 + | Betree_Message_Insert i -> Fail Failure + | Betree_Message_Delete -> Fail Failure + | Betree_Message_Upsert s -> + let* v = betree_upsert_update prev s in + let* msgs0 = betree_List_pop_front_back (u64 & betree_Message_t) msgs in + betree_Node_apply_upserts_back msgs0 (Some v) key st st0 end else - let* (_, v) = core_option_option_unwrap_fwd u64 prev st in + let* (_, v) = core_option_Option_unwrap u64 prev st in let* msgs0 = - betree_list_push_front_fwd_back (u64 & betree_message_t) msgs (key, - BetreeMessageInsert v) in + betree_List_push_front (u64 & betree_Message_t) msgs (key, + Betree_Message_Insert v) in Return (st0, msgs0) (** [betree_main::betree::Node::{5}::lookup_in_bindings]: forward function *) -let rec betree_node_lookup_in_bindings_fwd - (key : u64) (bindings : betree_list_t (u64 & u64)) : +let rec betree_Node_lookup_in_bindings + (key : u64) (bindings : betree_List_t (u64 & u64)) : Tot (result (option u64)) - (decreases (betree_node_lookup_in_bindings_decreases key bindings)) + (decreases (betree_Node_lookup_in_bindings_decreases key bindings)) = begin match bindings with - | BetreeListCons hd tl -> + | Betree_List_Cons hd tl -> let (i, i0) = hd in if i = key then Return (Some i0) - else - if i > key - then Return None - else betree_node_lookup_in_bindings_fwd key tl - | BetreeListNil -> Return None + else if i > key then Return None else betree_Node_lookup_in_bindings key tl + | Betree_List_Nil -> Return None end (** [betree_main::betree::Internal::{4}::lookup_in_children]: forward function *) -let rec betree_internal_lookup_in_children_fwd - (self : betree_internal_t) (key : u64) (st : state) : +let rec betree_Internal_lookup_in_children + (self : betree_Internal_t) (key : u64) (st : state) : Tot (result (state & (option u64))) - (decreases (betree_internal_lookup_in_children_decreases self key st)) + (decreases (betree_Internal_lookup_in_children_decreases self key st)) = - if key < self.betree_internal_pivot - then betree_node_lookup_fwd self.betree_internal_left key st - else betree_node_lookup_fwd self.betree_internal_right key st + if key < self.pivot + then betree_Node_lookup self.left key st + else betree_Node_lookup self.right key st (** [betree_main::betree::Internal::{4}::lookup_in_children]: backward function 0 *) -and betree_internal_lookup_in_children_back - (self : betree_internal_t) (key : u64) (st : state) (st0 : state) : - Tot (result (state & betree_internal_t)) - (decreases (betree_internal_lookup_in_children_decreases self key st)) +and betree_Internal_lookup_in_children_back + (self : betree_Internal_t) (key : u64) (st : state) (st0 : state) : + Tot (result (state & betree_Internal_t)) + (decreases (betree_Internal_lookup_in_children_decreases self key st)) = - if key < self.betree_internal_pivot + if key < self.pivot then - let* (st1, n) = - betree_node_lookup_back self.betree_internal_left key st st0 in - Return (st1, { self with betree_internal_left = n }) + let* (st1, n) = betree_Node_lookup_back self.left key st st0 in + Return (st1, { self with left = n }) else - let* (st1, n) = - betree_node_lookup_back self.betree_internal_right key st st0 in - Return (st1, { self with betree_internal_right = n }) + let* (st1, n) = betree_Node_lookup_back self.right key st st0 in + Return (st1, { self with right = n }) (** [betree_main::betree::Node::{5}::lookup]: forward function *) -and betree_node_lookup_fwd - (self : betree_node_t) (key : u64) (st : state) : +and betree_Node_lookup + (self : betree_Node_t) (key : u64) (st : state) : Tot (result (state & (option u64))) - (decreases (betree_node_lookup_decreases self key st)) + (decreases (betree_Node_lookup_decreases self key st)) = begin match self with - | BetreeNodeInternal node -> - let* (st0, msgs) = betree_load_internal_node_fwd node.betree_internal_id st - in - let* pending = betree_node_lookup_first_message_for_key_fwd key msgs in + | Betree_Node_Internal node -> + let* (st0, msgs) = betree_load_internal_node node.id st in + let* pending = betree_Node_lookup_first_message_for_key key msgs in begin match pending with - | BetreeListCons p l -> + | Betree_List_Cons p l -> let (k, msg) = p in if k <> key then - let* (st1, opt) = betree_internal_lookup_in_children_fwd node key st0 - in + let* (st1, o) = betree_Internal_lookup_in_children node key st0 in let* _ = - betree_node_lookup_first_message_for_key_back key msgs - (BetreeListCons (k, msg) l) in - Return (st1, opt) + betree_Node_lookup_first_message_for_key_back key msgs + (Betree_List_Cons (k, msg) l) in + Return (st1, o) else begin match msg with - | BetreeMessageInsert v -> + | Betree_Message_Insert v -> let* _ = - betree_node_lookup_first_message_for_key_back key msgs - (BetreeListCons (k, BetreeMessageInsert v) l) in + betree_Node_lookup_first_message_for_key_back key msgs + (Betree_List_Cons (k, Betree_Message_Insert v) l) in Return (st0, Some v) - | BetreeMessageDelete -> + | Betree_Message_Delete -> let* _ = - betree_node_lookup_first_message_for_key_back key msgs - (BetreeListCons (k, BetreeMessageDelete) l) in + betree_Node_lookup_first_message_for_key_back key msgs + (Betree_List_Cons (k, Betree_Message_Delete) l) in Return (st0, None) - | BetreeMessageUpsert ufs -> - let* (st1, v) = betree_internal_lookup_in_children_fwd node key st0 - in + | Betree_Message_Upsert ufs -> + let* (st1, v) = betree_Internal_lookup_in_children node key st0 in let* (st2, v0) = - betree_node_apply_upserts_fwd (BetreeListCons (k, - BetreeMessageUpsert ufs) l) v key st1 in + betree_Node_apply_upserts (Betree_List_Cons (k, + Betree_Message_Upsert ufs) l) v key st1 in let* (st3, node0) = - betree_internal_lookup_in_children_back node key st0 st2 in + betree_Internal_lookup_in_children_back node key st0 st2 in let* (st4, pending0) = - betree_node_apply_upserts_back (BetreeListCons (k, - BetreeMessageUpsert ufs) l) v key st1 st3 in + betree_Node_apply_upserts_back (Betree_List_Cons (k, + Betree_Message_Upsert ufs) l) v key st1 st3 in let* msgs0 = - betree_node_lookup_first_message_for_key_back key msgs pending0 in - let* (st5, _) = - betree_store_internal_node_fwd node0.betree_internal_id msgs0 st4 - in + betree_Node_lookup_first_message_for_key_back key msgs pending0 in + let* (st5, _) = betree_store_internal_node node0.id msgs0 st4 in Return (st5, Some v0) end - | BetreeListNil -> - let* (st1, opt) = betree_internal_lookup_in_children_fwd node key st0 in + | Betree_List_Nil -> + let* (st1, o) = betree_Internal_lookup_in_children node key st0 in let* _ = - betree_node_lookup_first_message_for_key_back key msgs BetreeListNil in - Return (st1, opt) + betree_Node_lookup_first_message_for_key_back key msgs Betree_List_Nil + in + Return (st1, o) end - | BetreeNodeLeaf node -> - let* (st0, bindings) = betree_load_leaf_node_fwd node.betree_leaf_id st in - let* opt = betree_node_lookup_in_bindings_fwd key bindings in - Return (st0, opt) + | Betree_Node_Leaf node -> + let* (st0, bindings) = betree_load_leaf_node node.id st in + let* o = betree_Node_lookup_in_bindings key bindings in + Return (st0, o) end (** [betree_main::betree::Node::{5}::lookup]: backward function 0 *) -and betree_node_lookup_back - (self : betree_node_t) (key : u64) (st : state) (st0 : state) : - Tot (result (state & betree_node_t)) - (decreases (betree_node_lookup_decreases self key st)) +and betree_Node_lookup_back + (self : betree_Node_t) (key : u64) (st : state) (st0 : state) : + Tot (result (state & betree_Node_t)) + (decreases (betree_Node_lookup_decreases self key st)) = begin match self with - | BetreeNodeInternal node -> - let* (st1, msgs) = betree_load_internal_node_fwd node.betree_internal_id st - in - let* pending = betree_node_lookup_first_message_for_key_fwd key msgs in + | Betree_Node_Internal node -> + let* (st1, msgs) = betree_load_internal_node node.id st in + let* pending = betree_Node_lookup_first_message_for_key key msgs in begin match pending with - | BetreeListCons p l -> + | Betree_List_Cons p l -> let (k, msg) = p in if k <> key then let* _ = - betree_node_lookup_first_message_for_key_back key msgs - (BetreeListCons (k, msg) l) in + betree_Node_lookup_first_message_for_key_back key msgs + (Betree_List_Cons (k, msg) l) in let* (st2, node0) = - betree_internal_lookup_in_children_back node key st1 st0 in - Return (st2, BetreeNodeInternal node0) + betree_Internal_lookup_in_children_back node key st1 st0 in + Return (st2, Betree_Node_Internal node0) else begin match msg with - | BetreeMessageInsert v -> + | Betree_Message_Insert v -> let* _ = - betree_node_lookup_first_message_for_key_back key msgs - (BetreeListCons (k, BetreeMessageInsert v) l) in - Return (st0, BetreeNodeInternal node) - | BetreeMessageDelete -> + betree_Node_lookup_first_message_for_key_back key msgs + (Betree_List_Cons (k, Betree_Message_Insert v) l) in + Return (st0, Betree_Node_Internal node) + | Betree_Message_Delete -> let* _ = - betree_node_lookup_first_message_for_key_back key msgs - (BetreeListCons (k, BetreeMessageDelete) l) in - Return (st0, BetreeNodeInternal node) - | BetreeMessageUpsert ufs -> - let* (st2, v) = betree_internal_lookup_in_children_fwd node key st1 - in + betree_Node_lookup_first_message_for_key_back key msgs + (Betree_List_Cons (k, Betree_Message_Delete) l) in + Return (st0, Betree_Node_Internal node) + | Betree_Message_Upsert ufs -> + let* (st2, v) = betree_Internal_lookup_in_children node key st1 in let* (st3, _) = - betree_node_apply_upserts_fwd (BetreeListCons (k, - BetreeMessageUpsert ufs) l) v key st2 in + betree_Node_apply_upserts (Betree_List_Cons (k, + Betree_Message_Upsert ufs) l) v key st2 in let* (st4, node0) = - betree_internal_lookup_in_children_back node key st1 st3 in + betree_Internal_lookup_in_children_back node key st1 st3 in let* (st5, pending0) = - betree_node_apply_upserts_back (BetreeListCons (k, - BetreeMessageUpsert ufs) l) v key st2 st4 in + betree_Node_apply_upserts_back (Betree_List_Cons (k, + Betree_Message_Upsert ufs) l) v key st2 st4 in let* msgs0 = - betree_node_lookup_first_message_for_key_back key msgs pending0 in - let* _ = - betree_store_internal_node_fwd node0.betree_internal_id msgs0 st5 - in - Return (st0, BetreeNodeInternal node0) + betree_Node_lookup_first_message_for_key_back key msgs pending0 in + let* _ = betree_store_internal_node node0.id msgs0 st5 in + Return (st0, Betree_Node_Internal node0) end - | BetreeListNil -> + | Betree_List_Nil -> let* _ = - betree_node_lookup_first_message_for_key_back key msgs BetreeListNil in + betree_Node_lookup_first_message_for_key_back key msgs Betree_List_Nil + in let* (st2, node0) = - betree_internal_lookup_in_children_back node key st1 st0 in - Return (st2, BetreeNodeInternal node0) + betree_Internal_lookup_in_children_back node key st1 st0 in + Return (st2, Betree_Node_Internal node0) end - | BetreeNodeLeaf node -> - let* (_, bindings) = betree_load_leaf_node_fwd node.betree_leaf_id st in - let* _ = betree_node_lookup_in_bindings_fwd key bindings in - Return (st0, BetreeNodeLeaf node) + | Betree_Node_Leaf node -> + let* (_, bindings) = betree_load_leaf_node node.id st in + let* _ = betree_Node_lookup_in_bindings key bindings in + Return (st0, Betree_Node_Leaf node) end (** [betree_main::betree::Node::{5}::filter_messages_for_key]: merged forward/backward function (there is a single backward function, and the forward function returns ()) *) -let rec betree_node_filter_messages_for_key_fwd_back - (key : u64) (msgs : betree_list_t (u64 & betree_message_t)) : - Tot (result (betree_list_t (u64 & betree_message_t))) - (decreases (betree_node_filter_messages_for_key_decreases key msgs)) +let rec betree_Node_filter_messages_for_key + (key : u64) (msgs : betree_List_t (u64 & betree_Message_t)) : + Tot (result (betree_List_t (u64 & betree_Message_t))) + (decreases (betree_Node_filter_messages_for_key_decreases key msgs)) = begin match msgs with - | BetreeListCons p l -> + | Betree_List_Cons p l -> let (k, m) = p in if k = key then let* msgs0 = - betree_list_pop_front_back (u64 & betree_message_t) (BetreeListCons (k, - m) l) in - betree_node_filter_messages_for_key_fwd_back key msgs0 - else Return (BetreeListCons (k, m) l) - | BetreeListNil -> Return BetreeListNil + betree_List_pop_front_back (u64 & betree_Message_t) (Betree_List_Cons + (k, m) l) in + betree_Node_filter_messages_for_key key msgs0 + else Return (Betree_List_Cons (k, m) l) + | Betree_List_Nil -> Return Betree_List_Nil end (** [betree_main::betree::Node::{5}::lookup_first_message_after_key]: forward function *) -let rec betree_node_lookup_first_message_after_key_fwd - (key : u64) (msgs : betree_list_t (u64 & betree_message_t)) : - Tot (result (betree_list_t (u64 & betree_message_t))) - (decreases (betree_node_lookup_first_message_after_key_decreases key msgs)) +let rec betree_Node_lookup_first_message_after_key + (key : u64) (msgs : betree_List_t (u64 & betree_Message_t)) : + Tot (result (betree_List_t (u64 & betree_Message_t))) + (decreases (betree_Node_lookup_first_message_after_key_decreases key msgs)) = begin match msgs with - | BetreeListCons p next_msgs -> + | Betree_List_Cons p next_msgs -> let (k, m) = p in if k = key - then betree_node_lookup_first_message_after_key_fwd key next_msgs - else Return (BetreeListCons (k, m) next_msgs) - | BetreeListNil -> Return BetreeListNil + then betree_Node_lookup_first_message_after_key key next_msgs + else Return (Betree_List_Cons (k, m) next_msgs) + | Betree_List_Nil -> Return Betree_List_Nil end (** [betree_main::betree::Node::{5}::lookup_first_message_after_key]: backward function 0 *) -let rec betree_node_lookup_first_message_after_key_back - (key : u64) (msgs : betree_list_t (u64 & betree_message_t)) - (ret : betree_list_t (u64 & betree_message_t)) : - Tot (result (betree_list_t (u64 & betree_message_t))) - (decreases (betree_node_lookup_first_message_after_key_decreases key msgs)) +let rec betree_Node_lookup_first_message_after_key_back + (key : u64) (msgs : betree_List_t (u64 & betree_Message_t)) + (ret : betree_List_t (u64 & betree_Message_t)) : + Tot (result (betree_List_t (u64 & betree_Message_t))) + (decreases (betree_Node_lookup_first_message_after_key_decreases key msgs)) = begin match msgs with - | BetreeListCons p next_msgs -> + | Betree_List_Cons p next_msgs -> let (k, m) = p in if k = key then let* next_msgs0 = - betree_node_lookup_first_message_after_key_back key next_msgs ret in - Return (BetreeListCons (k, m) next_msgs0) + betree_Node_lookup_first_message_after_key_back key next_msgs ret in + Return (Betree_List_Cons (k, m) next_msgs0) else Return ret - | BetreeListNil -> Return ret + | Betree_List_Nil -> Return ret end (** [betree_main::betree::Node::{5}::apply_to_internal]: merged forward/backward function (there is a single backward function, and the forward function returns ()) *) -let betree_node_apply_to_internal_fwd_back - (msgs : betree_list_t (u64 & betree_message_t)) (key : u64) - (new_msg : betree_message_t) : - result (betree_list_t (u64 & betree_message_t)) +let betree_Node_apply_to_internal + (msgs : betree_List_t (u64 & betree_Message_t)) (key : u64) + (new_msg : betree_Message_t) : + result (betree_List_t (u64 & betree_Message_t)) = - let* msgs0 = betree_node_lookup_first_message_for_key_fwd key msgs in - let* b = betree_list_head_has_key_fwd betree_message_t msgs0 key in + let* msgs0 = betree_Node_lookup_first_message_for_key key msgs in + let* b = betree_List_head_has_key betree_Message_t msgs0 key in if b then begin match new_msg with - | BetreeMessageInsert i -> - let* msgs1 = betree_node_filter_messages_for_key_fwd_back key msgs0 in + | Betree_Message_Insert i -> + let* msgs1 = betree_Node_filter_messages_for_key key msgs0 in let* msgs2 = - betree_list_push_front_fwd_back (u64 & betree_message_t) msgs1 (key, - BetreeMessageInsert i) in - betree_node_lookup_first_message_for_key_back key msgs msgs2 - | BetreeMessageDelete -> - let* msgs1 = betree_node_filter_messages_for_key_fwd_back key msgs0 in + betree_List_push_front (u64 & betree_Message_t) msgs1 (key, + Betree_Message_Insert i) in + betree_Node_lookup_first_message_for_key_back key msgs msgs2 + | Betree_Message_Delete -> + let* msgs1 = betree_Node_filter_messages_for_key key msgs0 in let* msgs2 = - betree_list_push_front_fwd_back (u64 & betree_message_t) msgs1 (key, - BetreeMessageDelete) in - betree_node_lookup_first_message_for_key_back key msgs msgs2 - | BetreeMessageUpsert s -> - let* p = betree_list_hd_fwd (u64 & betree_message_t) msgs0 in + betree_List_push_front (u64 & betree_Message_t) msgs1 (key, + Betree_Message_Delete) in + betree_Node_lookup_first_message_for_key_back key msgs msgs2 + | Betree_Message_Upsert s -> + let* p = betree_List_hd (u64 & betree_Message_t) msgs0 in let (_, m) = p in begin match m with - | BetreeMessageInsert prev -> - let* v = betree_upsert_update_fwd (Some prev) s in - let* msgs1 = betree_list_pop_front_back (u64 & betree_message_t) msgs0 + | Betree_Message_Insert prev -> + let* v = betree_upsert_update (Some prev) s in + let* msgs1 = betree_List_pop_front_back (u64 & betree_Message_t) msgs0 in let* msgs2 = - betree_list_push_front_fwd_back (u64 & betree_message_t) msgs1 (key, - BetreeMessageInsert v) in - betree_node_lookup_first_message_for_key_back key msgs msgs2 - | BetreeMessageDelete -> - let* v = betree_upsert_update_fwd None s in - let* msgs1 = betree_list_pop_front_back (u64 & betree_message_t) msgs0 + betree_List_push_front (u64 & betree_Message_t) msgs1 (key, + Betree_Message_Insert v) in + betree_Node_lookup_first_message_for_key_back key msgs msgs2 + | Betree_Message_Delete -> + let* v = betree_upsert_update None s in + let* msgs1 = betree_List_pop_front_back (u64 & betree_Message_t) msgs0 in let* msgs2 = - betree_list_push_front_fwd_back (u64 & betree_message_t) msgs1 (key, - BetreeMessageInsert v) in - betree_node_lookup_first_message_for_key_back key msgs msgs2 - | BetreeMessageUpsert ufs -> - let* msgs1 = betree_node_lookup_first_message_after_key_fwd key msgs0 - in + betree_List_push_front (u64 & betree_Message_t) msgs1 (key, + Betree_Message_Insert v) in + betree_Node_lookup_first_message_for_key_back key msgs msgs2 + | Betree_Message_Upsert ufs -> + let* msgs1 = betree_Node_lookup_first_message_after_key key msgs0 in let* msgs2 = - betree_list_push_front_fwd_back (u64 & betree_message_t) msgs1 (key, - BetreeMessageUpsert s) in + betree_List_push_front (u64 & betree_Message_t) msgs1 (key, + Betree_Message_Upsert s) in let* msgs3 = - betree_node_lookup_first_message_after_key_back key msgs0 msgs2 in - betree_node_lookup_first_message_for_key_back key msgs msgs3 + betree_Node_lookup_first_message_after_key_back key msgs0 msgs2 in + betree_Node_lookup_first_message_for_key_back key msgs msgs3 end end else let* msgs1 = - betree_list_push_front_fwd_back (u64 & betree_message_t) msgs0 (key, - new_msg) in - betree_node_lookup_first_message_for_key_back key msgs msgs1 + betree_List_push_front (u64 & betree_Message_t) msgs0 (key, new_msg) in + betree_Node_lookup_first_message_for_key_back key msgs msgs1 (** [betree_main::betree::Node::{5}::apply_messages_to_internal]: merged forward/backward function (there is a single backward function, and the forward function returns ()) *) -let rec betree_node_apply_messages_to_internal_fwd_back - (msgs : betree_list_t (u64 & betree_message_t)) - (new_msgs : betree_list_t (u64 & betree_message_t)) : - Tot (result (betree_list_t (u64 & betree_message_t))) - (decreases (betree_node_apply_messages_to_internal_decreases msgs new_msgs)) +let rec betree_Node_apply_messages_to_internal + (msgs : betree_List_t (u64 & betree_Message_t)) + (new_msgs : betree_List_t (u64 & betree_Message_t)) : + Tot (result (betree_List_t (u64 & betree_Message_t))) + (decreases (betree_Node_apply_messages_to_internal_decreases msgs new_msgs)) = begin match new_msgs with - | BetreeListCons new_msg new_msgs_tl -> + | Betree_List_Cons new_msg new_msgs_tl -> let (i, m) = new_msg in - let* msgs0 = betree_node_apply_to_internal_fwd_back msgs i m in - betree_node_apply_messages_to_internal_fwd_back msgs0 new_msgs_tl - | BetreeListNil -> Return msgs + let* msgs0 = betree_Node_apply_to_internal msgs i m in + betree_Node_apply_messages_to_internal msgs0 new_msgs_tl + | Betree_List_Nil -> Return msgs end (** [betree_main::betree::Node::{5}::lookup_mut_in_bindings]: forward function *) -let rec betree_node_lookup_mut_in_bindings_fwd - (key : u64) (bindings : betree_list_t (u64 & u64)) : - Tot (result (betree_list_t (u64 & u64))) - (decreases (betree_node_lookup_mut_in_bindings_decreases key bindings)) +let rec betree_Node_lookup_mut_in_bindings + (key : u64) (bindings : betree_List_t (u64 & u64)) : + Tot (result (betree_List_t (u64 & u64))) + (decreases (betree_Node_lookup_mut_in_bindings_decreases key bindings)) = begin match bindings with - | BetreeListCons hd tl -> + | Betree_List_Cons hd tl -> let (i, i0) = hd in if i >= key - then Return (BetreeListCons (i, i0) tl) - else betree_node_lookup_mut_in_bindings_fwd key tl - | BetreeListNil -> Return BetreeListNil + then Return (Betree_List_Cons (i, i0) tl) + else betree_Node_lookup_mut_in_bindings key tl + | Betree_List_Nil -> Return Betree_List_Nil end (** [betree_main::betree::Node::{5}::lookup_mut_in_bindings]: backward function 0 *) -let rec betree_node_lookup_mut_in_bindings_back - (key : u64) (bindings : betree_list_t (u64 & u64)) - (ret : betree_list_t (u64 & u64)) : - Tot (result (betree_list_t (u64 & u64))) - (decreases (betree_node_lookup_mut_in_bindings_decreases key bindings)) +let rec betree_Node_lookup_mut_in_bindings_back + (key : u64) (bindings : betree_List_t (u64 & u64)) + (ret : betree_List_t (u64 & u64)) : + Tot (result (betree_List_t (u64 & u64))) + (decreases (betree_Node_lookup_mut_in_bindings_decreases key bindings)) = begin match bindings with - | BetreeListCons hd tl -> + | Betree_List_Cons hd tl -> let (i, i0) = hd in if i >= key then Return ret else - let* tl0 = betree_node_lookup_mut_in_bindings_back key tl ret in - Return (BetreeListCons (i, i0) tl0) - | BetreeListNil -> Return ret + let* tl0 = betree_Node_lookup_mut_in_bindings_back key tl ret in + Return (Betree_List_Cons (i, i0) tl0) + | Betree_List_Nil -> Return ret end (** [betree_main::betree::Node::{5}::apply_to_leaf]: merged forward/backward function (there is a single backward function, and the forward function returns ()) *) -let betree_node_apply_to_leaf_fwd_back - (bindings : betree_list_t (u64 & u64)) (key : u64) - (new_msg : betree_message_t) : - result (betree_list_t (u64 & u64)) +let betree_Node_apply_to_leaf + (bindings : betree_List_t (u64 & u64)) (key : u64) + (new_msg : betree_Message_t) : + result (betree_List_t (u64 & u64)) = - let* bindings0 = betree_node_lookup_mut_in_bindings_fwd key bindings in - let* b = betree_list_head_has_key_fwd u64 bindings0 key in + let* bindings0 = betree_Node_lookup_mut_in_bindings key bindings in + let* b = betree_List_head_has_key u64 bindings0 key in if b then - let* hd = betree_list_pop_front_fwd (u64 & u64) bindings0 in + let* hd = betree_List_pop_front (u64 & u64) bindings0 in begin match new_msg with - | BetreeMessageInsert v -> - let* bindings1 = betree_list_pop_front_back (u64 & u64) bindings0 in - let* bindings2 = - betree_list_push_front_fwd_back (u64 & u64) bindings1 (key, v) in - betree_node_lookup_mut_in_bindings_back key bindings bindings2 - | BetreeMessageDelete -> - let* bindings1 = betree_list_pop_front_back (u64 & u64) bindings0 in - betree_node_lookup_mut_in_bindings_back key bindings bindings1 - | BetreeMessageUpsert s -> + | Betree_Message_Insert v -> + let* bindings1 = betree_List_pop_front_back (u64 & u64) bindings0 in + let* bindings2 = betree_List_push_front (u64 & u64) bindings1 (key, v) in + betree_Node_lookup_mut_in_bindings_back key bindings bindings2 + | Betree_Message_Delete -> + let* bindings1 = betree_List_pop_front_back (u64 & u64) bindings0 in + betree_Node_lookup_mut_in_bindings_back key bindings bindings1 + | Betree_Message_Upsert s -> let (_, i) = hd in - let* v = betree_upsert_update_fwd (Some i) s in - let* bindings1 = betree_list_pop_front_back (u64 & u64) bindings0 in - let* bindings2 = - betree_list_push_front_fwd_back (u64 & u64) bindings1 (key, v) in - betree_node_lookup_mut_in_bindings_back key bindings bindings2 + let* v = betree_upsert_update (Some i) s in + let* bindings1 = betree_List_pop_front_back (u64 & u64) bindings0 in + let* bindings2 = betree_List_push_front (u64 & u64) bindings1 (key, v) in + betree_Node_lookup_mut_in_bindings_back key bindings bindings2 end else begin match new_msg with - | BetreeMessageInsert v -> - let* bindings1 = - betree_list_push_front_fwd_back (u64 & u64) bindings0 (key, v) in - betree_node_lookup_mut_in_bindings_back key bindings bindings1 - | BetreeMessageDelete -> - betree_node_lookup_mut_in_bindings_back key bindings bindings0 - | BetreeMessageUpsert s -> - let* v = betree_upsert_update_fwd None s in - let* bindings1 = - betree_list_push_front_fwd_back (u64 & u64) bindings0 (key, v) in - betree_node_lookup_mut_in_bindings_back key bindings bindings1 + | Betree_Message_Insert v -> + let* bindings1 = betree_List_push_front (u64 & u64) bindings0 (key, v) in + betree_Node_lookup_mut_in_bindings_back key bindings bindings1 + | Betree_Message_Delete -> + betree_Node_lookup_mut_in_bindings_back key bindings bindings0 + | Betree_Message_Upsert s -> + let* v = betree_upsert_update None s in + let* bindings1 = betree_List_push_front (u64 & u64) bindings0 (key, v) in + betree_Node_lookup_mut_in_bindings_back key bindings bindings1 end (** [betree_main::betree::Node::{5}::apply_messages_to_leaf]: merged forward/backward function (there is a single backward function, and the forward function returns ()) *) -let rec betree_node_apply_messages_to_leaf_fwd_back - (bindings : betree_list_t (u64 & u64)) - (new_msgs : betree_list_t (u64 & betree_message_t)) : - Tot (result (betree_list_t (u64 & u64))) - (decreases (betree_node_apply_messages_to_leaf_decreases bindings new_msgs)) +let rec betree_Node_apply_messages_to_leaf + (bindings : betree_List_t (u64 & u64)) + (new_msgs : betree_List_t (u64 & betree_Message_t)) : + Tot (result (betree_List_t (u64 & u64))) + (decreases (betree_Node_apply_messages_to_leaf_decreases bindings new_msgs)) = begin match new_msgs with - | BetreeListCons new_msg new_msgs_tl -> + | Betree_List_Cons new_msg new_msgs_tl -> let (i, m) = new_msg in - let* bindings0 = betree_node_apply_to_leaf_fwd_back bindings i m in - betree_node_apply_messages_to_leaf_fwd_back bindings0 new_msgs_tl - | BetreeListNil -> Return bindings + let* bindings0 = betree_Node_apply_to_leaf bindings i m in + betree_Node_apply_messages_to_leaf bindings0 new_msgs_tl + | Betree_List_Nil -> Return bindings end (** [betree_main::betree::Internal::{4}::flush]: forward function *) -let rec betree_internal_flush_fwd - (self : betree_internal_t) (params : betree_params_t) - (node_id_cnt : betree_node_id_counter_t) - (content : betree_list_t (u64 & betree_message_t)) (st : state) : - Tot (result (state & (betree_list_t (u64 & betree_message_t)))) +let rec betree_Internal_flush + (self : betree_Internal_t) (params : betree_Params_t) + (node_id_cnt : betree_NodeIdCounter_t) + (content : betree_List_t (u64 & betree_Message_t)) (st : state) : + Tot (result (state & (betree_List_t (u64 & betree_Message_t)))) (decreases ( - betree_internal_flush_decreases self params node_id_cnt content st)) + betree_Internal_flush_decreases self params node_id_cnt content st)) = - let* p = - betree_list_partition_at_pivot_fwd betree_message_t content - self.betree_internal_pivot in + let* p = betree_List_partition_at_pivot betree_Message_t content self.pivot + in let (msgs_left, msgs_right) = p in - let* len_left = betree_list_len_fwd (u64 & betree_message_t) msgs_left in - if len_left >= params.betree_params_min_flush_size + let* len_left = betree_List_len (u64 & betree_Message_t) msgs_left in + if len_left >= params.min_flush_size then let* (st0, _) = - betree_node_apply_messages_fwd self.betree_internal_left params - node_id_cnt msgs_left st in + betree_Node_apply_messages self.left params node_id_cnt msgs_left st in let* (st1, (_, node_id_cnt0)) = - betree_node_apply_messages_back'a self.betree_internal_left params - node_id_cnt msgs_left st st0 in + betree_Node_apply_messages_back'a self.left params node_id_cnt msgs_left + st st0 in let* (st2, ()) = - betree_node_apply_messages_back1 self.betree_internal_left params - node_id_cnt msgs_left st st1 in - let* len_right = betree_list_len_fwd (u64 & betree_message_t) msgs_right in - if len_right >= params.betree_params_min_flush_size + betree_Node_apply_messages_back1 self.left params node_id_cnt msgs_left + st st1 in + let* len_right = betree_List_len (u64 & betree_Message_t) msgs_right in + if len_right >= params.min_flush_size then let* (st3, _) = - betree_node_apply_messages_fwd self.betree_internal_right params - node_id_cnt0 msgs_right st2 in + betree_Node_apply_messages self.right params node_id_cnt0 msgs_right + st2 in let* (st4, (_, _)) = - betree_node_apply_messages_back'a self.betree_internal_right params - node_id_cnt0 msgs_right st2 st3 in + betree_Node_apply_messages_back'a self.right params node_id_cnt0 + msgs_right st2 st3 in let* (st5, ()) = - betree_node_apply_messages_back1 self.betree_internal_right params - node_id_cnt0 msgs_right st2 st4 in - Return (st5, BetreeListNil) + betree_Node_apply_messages_back1 self.right params node_id_cnt0 + msgs_right st2 st4 in + Return (st5, Betree_List_Nil) else Return (st2, msgs_right) else let* (st0, _) = - betree_node_apply_messages_fwd self.betree_internal_right params - node_id_cnt msgs_right st in + betree_Node_apply_messages self.right params node_id_cnt msgs_right st in let* (st1, (_, _)) = - betree_node_apply_messages_back'a self.betree_internal_right params - node_id_cnt msgs_right st st0 in + betree_Node_apply_messages_back'a self.right params node_id_cnt + msgs_right st st0 in let* (st2, ()) = - betree_node_apply_messages_back1 self.betree_internal_right params - node_id_cnt msgs_right st st1 in + betree_Node_apply_messages_back1 self.right params node_id_cnt msgs_right + st st1 in Return (st2, msgs_left) (** [betree_main::betree::Internal::{4}::flush]: backward function 0 *) -and betree_internal_flush_back'a - (self : betree_internal_t) (params : betree_params_t) - (node_id_cnt : betree_node_id_counter_t) - (content : betree_list_t (u64 & betree_message_t)) (st : state) (st0 : state) +and betree_Internal_flush_back'a + (self : betree_Internal_t) (params : betree_Params_t) + (node_id_cnt : betree_NodeIdCounter_t) + (content : betree_List_t (u64 & betree_Message_t)) (st : state) (st0 : state) : - Tot (result (state & (betree_internal_t & betree_node_id_counter_t))) + Tot (result (state & (betree_Internal_t & betree_NodeIdCounter_t))) (decreases ( - betree_internal_flush_decreases self params node_id_cnt content st)) + betree_Internal_flush_decreases self params node_id_cnt content st)) = - let* p = - betree_list_partition_at_pivot_fwd betree_message_t content - self.betree_internal_pivot in + let* p = betree_List_partition_at_pivot betree_Message_t content self.pivot + in let (msgs_left, msgs_right) = p in - let* len_left = betree_list_len_fwd (u64 & betree_message_t) msgs_left in - if len_left >= params.betree_params_min_flush_size + let* len_left = betree_List_len (u64 & betree_Message_t) msgs_left in + if len_left >= params.min_flush_size then let* (st1, _) = - betree_node_apply_messages_fwd self.betree_internal_left params - node_id_cnt msgs_left st in + betree_Node_apply_messages self.left params node_id_cnt msgs_left st in let* (st2, (n, node_id_cnt0)) = - betree_node_apply_messages_back'a self.betree_internal_left params - node_id_cnt msgs_left st st1 in + betree_Node_apply_messages_back'a self.left params node_id_cnt msgs_left + st st1 in let* (st3, ()) = - betree_node_apply_messages_back1 self.betree_internal_left params - node_id_cnt msgs_left st st2 in - let* len_right = betree_list_len_fwd (u64 & betree_message_t) msgs_right in - if len_right >= params.betree_params_min_flush_size + betree_Node_apply_messages_back1 self.left params node_id_cnt msgs_left + st st2 in + let* len_right = betree_List_len (u64 & betree_Message_t) msgs_right in + if len_right >= params.min_flush_size then let* (st4, _) = - betree_node_apply_messages_fwd self.betree_internal_right params - node_id_cnt0 msgs_right st3 in + betree_Node_apply_messages self.right params node_id_cnt0 msgs_right + st3 in let* (st5, (n0, node_id_cnt1)) = - betree_node_apply_messages_back'a self.betree_internal_right params - node_id_cnt0 msgs_right st3 st4 in + betree_Node_apply_messages_back'a self.right params node_id_cnt0 + msgs_right st3 st4 in let* _ = - betree_node_apply_messages_back1 self.betree_internal_right params - node_id_cnt0 msgs_right st3 st5 in - Return (st0, - ({ self with betree_internal_left = n; betree_internal_right = n0 }, - node_id_cnt1)) - else Return (st0, ({ self with betree_internal_left = n }, node_id_cnt0)) + betree_Node_apply_messages_back1 self.right params node_id_cnt0 + msgs_right st3 st5 in + Return (st0, ({ self with left = n; right = n0 }, node_id_cnt1)) + else Return (st0, ({ self with left = n }, node_id_cnt0)) else let* (st1, _) = - betree_node_apply_messages_fwd self.betree_internal_right params - node_id_cnt msgs_right st in + betree_Node_apply_messages self.right params node_id_cnt msgs_right st in let* (st2, (n, node_id_cnt0)) = - betree_node_apply_messages_back'a self.betree_internal_right params - node_id_cnt msgs_right st st1 in + betree_Node_apply_messages_back'a self.right params node_id_cnt + msgs_right st st1 in let* _ = - betree_node_apply_messages_back1 self.betree_internal_right params - node_id_cnt msgs_right st st2 in - Return (st0, ({ self with betree_internal_right = n }, node_id_cnt0)) + betree_Node_apply_messages_back1 self.right params node_id_cnt msgs_right + st st2 in + Return (st0, ({ self with right = n }, node_id_cnt0)) (** [betree_main::betree::Internal::{4}::flush]: backward function 1 *) -and betree_internal_flush_back1 - (self : betree_internal_t) (params : betree_params_t) - (node_id_cnt : betree_node_id_counter_t) - (content : betree_list_t (u64 & betree_message_t)) (st : state) (st0 : state) +and betree_Internal_flush_back1 + (self : betree_Internal_t) (params : betree_Params_t) + (node_id_cnt : betree_NodeIdCounter_t) + (content : betree_List_t (u64 & betree_Message_t)) (st : state) (st0 : state) : Tot (result (state & unit)) (decreases ( - betree_internal_flush_decreases self params node_id_cnt content st)) + betree_Internal_flush_decreases self params node_id_cnt content st)) = - let* p = - betree_list_partition_at_pivot_fwd betree_message_t content - self.betree_internal_pivot in + let* p = betree_List_partition_at_pivot betree_Message_t content self.pivot + in let (msgs_left, msgs_right) = p in - let* len_left = betree_list_len_fwd (u64 & betree_message_t) msgs_left in - if len_left >= params.betree_params_min_flush_size + let* len_left = betree_List_len (u64 & betree_Message_t) msgs_left in + if len_left >= params.min_flush_size then let* (st1, _) = - betree_node_apply_messages_fwd self.betree_internal_left params - node_id_cnt msgs_left st in + betree_Node_apply_messages self.left params node_id_cnt msgs_left st in let* (st2, (_, node_id_cnt0)) = - betree_node_apply_messages_back'a self.betree_internal_left params - node_id_cnt msgs_left st st1 in + betree_Node_apply_messages_back'a self.left params node_id_cnt msgs_left + st st1 in let* (st3, ()) = - betree_node_apply_messages_back1 self.betree_internal_left params - node_id_cnt msgs_left st st2 in - let* len_right = betree_list_len_fwd (u64 & betree_message_t) msgs_right in - if len_right >= params.betree_params_min_flush_size + betree_Node_apply_messages_back1 self.left params node_id_cnt msgs_left + st st2 in + let* len_right = betree_List_len (u64 & betree_Message_t) msgs_right in + if len_right >= params.min_flush_size then let* (st4, _) = - betree_node_apply_messages_fwd self.betree_internal_right params - node_id_cnt0 msgs_right st3 in + betree_Node_apply_messages self.right params node_id_cnt0 msgs_right + st3 in let* (st5, (_, _)) = - betree_node_apply_messages_back'a self.betree_internal_right params - node_id_cnt0 msgs_right st3 st4 in + betree_Node_apply_messages_back'a self.right params node_id_cnt0 + msgs_right st3 st4 in let* _ = - betree_node_apply_messages_back1 self.betree_internal_right params - node_id_cnt0 msgs_right st3 st5 in + betree_Node_apply_messages_back1 self.right params node_id_cnt0 + msgs_right st3 st5 in Return (st0, ()) else Return (st0, ()) else let* (st1, _) = - betree_node_apply_messages_fwd self.betree_internal_right params - node_id_cnt msgs_right st in + betree_Node_apply_messages self.right params node_id_cnt msgs_right st in let* (st2, (_, _)) = - betree_node_apply_messages_back'a self.betree_internal_right params - node_id_cnt msgs_right st st1 in + betree_Node_apply_messages_back'a self.right params node_id_cnt + msgs_right st st1 in let* _ = - betree_node_apply_messages_back1 self.betree_internal_right params - node_id_cnt msgs_right st st2 in + betree_Node_apply_messages_back1 self.right params node_id_cnt msgs_right + st st2 in Return (st0, ()) (** [betree_main::betree::Node::{5}::apply_messages]: forward function *) -and betree_node_apply_messages_fwd - (self : betree_node_t) (params : betree_params_t) - (node_id_cnt : betree_node_id_counter_t) - (msgs : betree_list_t (u64 & betree_message_t)) (st : state) : +and betree_Node_apply_messages + (self : betree_Node_t) (params : betree_Params_t) + (node_id_cnt : betree_NodeIdCounter_t) + (msgs : betree_List_t (u64 & betree_Message_t)) (st : state) : Tot (result (state & unit)) (decreases ( - betree_node_apply_messages_decreases self params node_id_cnt msgs st)) + betree_Node_apply_messages_decreases self params node_id_cnt msgs st)) = begin match self with - | BetreeNodeInternal node -> - let* (st0, content) = - betree_load_internal_node_fwd node.betree_internal_id st in - let* content0 = - betree_node_apply_messages_to_internal_fwd_back content msgs in - let* num_msgs = betree_list_len_fwd (u64 & betree_message_t) content0 in - if num_msgs >= params.betree_params_min_flush_size + | Betree_Node_Internal node -> + let* (st0, content) = betree_load_internal_node node.id st in + let* content0 = betree_Node_apply_messages_to_internal content msgs in + let* num_msgs = betree_List_len (u64 & betree_Message_t) content0 in + if num_msgs >= params.min_flush_size then let* (st1, content1) = - betree_internal_flush_fwd node params node_id_cnt content0 st0 in + betree_Internal_flush node params node_id_cnt content0 st0 in let* (st2, (node0, _)) = - betree_internal_flush_back'a node params node_id_cnt content0 st0 st1 + betree_Internal_flush_back'a node params node_id_cnt content0 st0 st1 in - let* (st3, _) = - betree_store_internal_node_fwd node0.betree_internal_id content1 st2 in + let* (st3, _) = betree_store_internal_node node0.id content1 st2 in Return (st3, ()) else - let* (st1, _) = - betree_store_internal_node_fwd node.betree_internal_id content0 st0 in + let* (st1, _) = betree_store_internal_node node.id content0 st0 in Return (st1, ()) - | BetreeNodeLeaf node -> - let* (st0, content) = betree_load_leaf_node_fwd node.betree_leaf_id st in - let* content0 = betree_node_apply_messages_to_leaf_fwd_back content msgs in - let* len = betree_list_len_fwd (u64 & u64) content0 in - let* i = u64_mul 2 params.betree_params_split_size in + | Betree_Node_Leaf node -> + let* (st0, content) = betree_load_leaf_node node.id st in + let* content0 = betree_Node_apply_messages_to_leaf content msgs in + let* len = betree_List_len (u64 & u64) content0 in + let* i = u64_mul 2 params.split_size in if len >= i then - let* (st1, _) = - betree_leaf_split_fwd node content0 params node_id_cnt st0 in - let* (st2, _) = - betree_store_leaf_node_fwd node.betree_leaf_id BetreeListNil st1 in - betree_leaf_split_back0 node content0 params node_id_cnt st0 st2 + let* (st1, _) = betree_Leaf_split node content0 params node_id_cnt st0 in + let* (st2, _) = betree_store_leaf_node node.id Betree_List_Nil st1 in + betree_Leaf_split_back0 node content0 params node_id_cnt st0 st2 else - let* (st1, _) = - betree_store_leaf_node_fwd node.betree_leaf_id content0 st0 in + let* (st1, _) = betree_store_leaf_node node.id content0 st0 in Return (st1, ()) end (** [betree_main::betree::Node::{5}::apply_messages]: backward function 0 *) -and betree_node_apply_messages_back'a - (self : betree_node_t) (params : betree_params_t) - (node_id_cnt : betree_node_id_counter_t) - (msgs : betree_list_t (u64 & betree_message_t)) (st : state) (st0 : state) : - Tot (result (state & (betree_node_t & betree_node_id_counter_t))) +and betree_Node_apply_messages_back'a + (self : betree_Node_t) (params : betree_Params_t) + (node_id_cnt : betree_NodeIdCounter_t) + (msgs : betree_List_t (u64 & betree_Message_t)) (st : state) (st0 : state) : + Tot (result (state & (betree_Node_t & betree_NodeIdCounter_t))) (decreases ( - betree_node_apply_messages_decreases self params node_id_cnt msgs st)) + betree_Node_apply_messages_decreases self params node_id_cnt msgs st)) = begin match self with - | BetreeNodeInternal node -> - let* (st1, content) = - betree_load_internal_node_fwd node.betree_internal_id st in - let* content0 = - betree_node_apply_messages_to_internal_fwd_back content msgs in - let* num_msgs = betree_list_len_fwd (u64 & betree_message_t) content0 in - if num_msgs >= params.betree_params_min_flush_size + | Betree_Node_Internal node -> + let* (st1, content) = betree_load_internal_node node.id st in + let* content0 = betree_Node_apply_messages_to_internal content msgs in + let* num_msgs = betree_List_len (u64 & betree_Message_t) content0 in + if num_msgs >= params.min_flush_size then let* (st2, content1) = - betree_internal_flush_fwd node params node_id_cnt content0 st1 in + betree_Internal_flush node params node_id_cnt content0 st1 in let* (st3, (node0, node_id_cnt0)) = - betree_internal_flush_back'a node params node_id_cnt content0 st1 st2 + betree_Internal_flush_back'a node params node_id_cnt content0 st1 st2 in - let* _ = - betree_store_internal_node_fwd node0.betree_internal_id content1 st3 in - Return (st0, (BetreeNodeInternal node0, node_id_cnt0)) + let* _ = betree_store_internal_node node0.id content1 st3 in + Return (st0, (Betree_Node_Internal node0, node_id_cnt0)) else - let* _ = - betree_store_internal_node_fwd node.betree_internal_id content0 st1 in - Return (st0, (BetreeNodeInternal node, node_id_cnt)) - | BetreeNodeLeaf node -> - let* (st1, content) = betree_load_leaf_node_fwd node.betree_leaf_id st in - let* content0 = betree_node_apply_messages_to_leaf_fwd_back content msgs in - let* len = betree_list_len_fwd (u64 & u64) content0 in - let* i = u64_mul 2 params.betree_params_split_size in + let* _ = betree_store_internal_node node.id content0 st1 in + Return (st0, (Betree_Node_Internal node, node_id_cnt)) + | Betree_Node_Leaf node -> + let* (st1, content) = betree_load_leaf_node node.id st in + let* content0 = betree_Node_apply_messages_to_leaf content msgs in + let* len = betree_List_len (u64 & u64) content0 in + let* i = u64_mul 2 params.split_size in if len >= i then let* (st2, new_node) = - betree_leaf_split_fwd node content0 params node_id_cnt st1 in - let* (st3, _) = - betree_store_leaf_node_fwd node.betree_leaf_id BetreeListNil st2 in - let* _ = betree_leaf_split_back0 node content0 params node_id_cnt st1 st3 + betree_Leaf_split node content0 params node_id_cnt st1 in + let* (st3, _) = betree_store_leaf_node node.id Betree_List_Nil st2 in + let* _ = betree_Leaf_split_back0 node content0 params node_id_cnt st1 st3 in let* (st4, node_id_cnt0) = - betree_leaf_split_back2 node content0 params node_id_cnt st1 st0 in - Return (st4, (BetreeNodeInternal new_node, node_id_cnt0)) + betree_Leaf_split_back2 node content0 params node_id_cnt st1 st0 in + Return (st4, (Betree_Node_Internal new_node, node_id_cnt0)) else - let* _ = betree_store_leaf_node_fwd node.betree_leaf_id content0 st1 in - Return (st0, (BetreeNodeLeaf { node with betree_leaf_size = len }, - node_id_cnt)) + let* _ = betree_store_leaf_node node.id content0 st1 in + Return (st0, (Betree_Node_Leaf { node with size = len }, node_id_cnt)) end (** [betree_main::betree::Node::{5}::apply_messages]: backward function 1 *) -and betree_node_apply_messages_back1 - (self : betree_node_t) (params : betree_params_t) - (node_id_cnt : betree_node_id_counter_t) - (msgs : betree_list_t (u64 & betree_message_t)) (st : state) (st0 : state) : +and betree_Node_apply_messages_back1 + (self : betree_Node_t) (params : betree_Params_t) + (node_id_cnt : betree_NodeIdCounter_t) + (msgs : betree_List_t (u64 & betree_Message_t)) (st : state) (st0 : state) : Tot (result (state & unit)) (decreases ( - betree_node_apply_messages_decreases self params node_id_cnt msgs st)) + betree_Node_apply_messages_decreases self params node_id_cnt msgs st)) = begin match self with - | BetreeNodeInternal node -> - let* (st1, content) = - betree_load_internal_node_fwd node.betree_internal_id st in - let* content0 = - betree_node_apply_messages_to_internal_fwd_back content msgs in - let* num_msgs = betree_list_len_fwd (u64 & betree_message_t) content0 in - if num_msgs >= params.betree_params_min_flush_size + | Betree_Node_Internal node -> + let* (st1, content) = betree_load_internal_node node.id st in + let* content0 = betree_Node_apply_messages_to_internal content msgs in + let* num_msgs = betree_List_len (u64 & betree_Message_t) content0 in + if num_msgs >= params.min_flush_size then let* (st2, content1) = - betree_internal_flush_fwd node params node_id_cnt content0 st1 in + betree_Internal_flush node params node_id_cnt content0 st1 in let* (st3, (node0, _)) = - betree_internal_flush_back'a node params node_id_cnt content0 st1 st2 + betree_Internal_flush_back'a node params node_id_cnt content0 st1 st2 in - let* _ = - betree_store_internal_node_fwd node0.betree_internal_id content1 st3 in - betree_internal_flush_back1 node params node_id_cnt content0 st1 st0 + let* _ = betree_store_internal_node node0.id content1 st3 in + betree_Internal_flush_back1 node params node_id_cnt content0 st1 st0 else - let* _ = - betree_store_internal_node_fwd node.betree_internal_id content0 st1 in + let* _ = betree_store_internal_node node.id content0 st1 in Return (st0, ()) - | BetreeNodeLeaf node -> - let* (st1, content) = betree_load_leaf_node_fwd node.betree_leaf_id st in - let* content0 = betree_node_apply_messages_to_leaf_fwd_back content msgs in - let* len = betree_list_len_fwd (u64 & u64) content0 in - let* i = u64_mul 2 params.betree_params_split_size in + | Betree_Node_Leaf node -> + let* (st1, content) = betree_load_leaf_node node.id st in + let* content0 = betree_Node_apply_messages_to_leaf content msgs in + let* len = betree_List_len (u64 & u64) content0 in + let* i = u64_mul 2 params.split_size in if len >= i then - let* (st2, _) = - betree_leaf_split_fwd node content0 params node_id_cnt st1 in - let* (st3, _) = - betree_store_leaf_node_fwd node.betree_leaf_id BetreeListNil st2 in - let* _ = betree_leaf_split_back0 node content0 params node_id_cnt st1 st3 + let* (st2, _) = betree_Leaf_split node content0 params node_id_cnt st1 in + let* (st3, _) = betree_store_leaf_node node.id Betree_List_Nil st2 in + let* _ = betree_Leaf_split_back0 node content0 params node_id_cnt st1 st3 in - betree_leaf_split_back1 node content0 params node_id_cnt st1 st0 + betree_Leaf_split_back1 node content0 params node_id_cnt st1 st0 else - let* _ = betree_store_leaf_node_fwd node.betree_leaf_id content0 st1 in - Return (st0, ()) + let* _ = betree_store_leaf_node node.id content0 st1 in Return (st0, ()) end (** [betree_main::betree::Node::{5}::apply]: forward function *) -let betree_node_apply_fwd - (self : betree_node_t) (params : betree_params_t) - (node_id_cnt : betree_node_id_counter_t) (key : u64) - (new_msg : betree_message_t) (st : state) : +let betree_Node_apply + (self : betree_Node_t) (params : betree_Params_t) + (node_id_cnt : betree_NodeIdCounter_t) (key : u64) + (new_msg : betree_Message_t) (st : state) : result (state & unit) = - let l = BetreeListNil in + let l = Betree_List_Nil in let* (st0, _) = - betree_node_apply_messages_fwd self params node_id_cnt (BetreeListCons - (key, new_msg) l) st in + betree_Node_apply_messages self params node_id_cnt (Betree_List_Cons (key, + new_msg) l) st in let* (st1, (_, _)) = - betree_node_apply_messages_back'a self params node_id_cnt (BetreeListCons + betree_Node_apply_messages_back'a self params node_id_cnt (Betree_List_Cons (key, new_msg) l) st st0 in - betree_node_apply_messages_back1 self params node_id_cnt (BetreeListCons + betree_Node_apply_messages_back1 self params node_id_cnt (Betree_List_Cons (key, new_msg) l) st st1 (** [betree_main::betree::Node::{5}::apply]: backward function 0 *) -let betree_node_apply_back'a - (self : betree_node_t) (params : betree_params_t) - (node_id_cnt : betree_node_id_counter_t) (key : u64) - (new_msg : betree_message_t) (st : state) (st0 : state) : - result (state & (betree_node_t & betree_node_id_counter_t)) +let betree_Node_apply_back'a + (self : betree_Node_t) (params : betree_Params_t) + (node_id_cnt : betree_NodeIdCounter_t) (key : u64) + (new_msg : betree_Message_t) (st : state) (st0 : state) : + result (state & (betree_Node_t & betree_NodeIdCounter_t)) = - let l = BetreeListNil in + let l = Betree_List_Nil in let* (st1, _) = - betree_node_apply_messages_fwd self params node_id_cnt (BetreeListCons - (key, new_msg) l) st in + betree_Node_apply_messages self params node_id_cnt (Betree_List_Cons (key, + new_msg) l) st in let* (st2, (self0, node_id_cnt0)) = - betree_node_apply_messages_back'a self params node_id_cnt (BetreeListCons + betree_Node_apply_messages_back'a self params node_id_cnt (Betree_List_Cons (key, new_msg) l) st st1 in let* _ = - betree_node_apply_messages_back1 self params node_id_cnt (BetreeListCons + betree_Node_apply_messages_back1 self params node_id_cnt (Betree_List_Cons (key, new_msg) l) st st2 in Return (st0, (self0, node_id_cnt0)) (** [betree_main::betree::Node::{5}::apply]: backward function 1 *) -let betree_node_apply_back1 - (self : betree_node_t) (params : betree_params_t) - (node_id_cnt : betree_node_id_counter_t) (key : u64) - (new_msg : betree_message_t) (st : state) (st0 : state) : +let betree_Node_apply_back1 + (self : betree_Node_t) (params : betree_Params_t) + (node_id_cnt : betree_NodeIdCounter_t) (key : u64) + (new_msg : betree_Message_t) (st : state) (st0 : state) : result (state & unit) = - let l = BetreeListNil in + let l = Betree_List_Nil in let* (st1, _) = - betree_node_apply_messages_fwd self params node_id_cnt (BetreeListCons - (key, new_msg) l) st in + betree_Node_apply_messages self params node_id_cnt (Betree_List_Cons (key, + new_msg) l) st in let* (st2, (_, _)) = - betree_node_apply_messages_back'a self params node_id_cnt (BetreeListCons + betree_Node_apply_messages_back'a self params node_id_cnt (Betree_List_Cons (key, new_msg) l) st st1 in let* _ = - betree_node_apply_messages_back1 self params node_id_cnt (BetreeListCons + betree_Node_apply_messages_back1 self params node_id_cnt (Betree_List_Cons (key, new_msg) l) st st2 in Return (st0, ()) (** [betree_main::betree::BeTree::{6}::new]: forward function *) -let betree_be_tree_new_fwd +let betree_BeTree_new (min_flush_size : u64) (split_size : u64) (st : state) : - result (state & betree_be_tree_t) + result (state & betree_BeTree_t) = - let* node_id_cnt = betree_node_id_counter_new_fwd in - let* id = betree_node_id_counter_fresh_id_fwd node_id_cnt in - let* (st0, _) = betree_store_leaf_node_fwd id BetreeListNil st in - let* node_id_cnt0 = betree_node_id_counter_fresh_id_back node_id_cnt in + let* node_id_cnt = betree_NodeIdCounter_new in + let* id = betree_NodeIdCounter_fresh_id node_id_cnt in + let* (st0, _) = betree_store_leaf_node id Betree_List_Nil st in + let* node_id_cnt0 = betree_NodeIdCounter_fresh_id_back node_id_cnt in Return (st0, { - betree_be_tree_params = - { - betree_params_min_flush_size = min_flush_size; - betree_params_split_size = split_size - }; - betree_be_tree_node_id_cnt = node_id_cnt0; - betree_be_tree_root = - (BetreeNodeLeaf { betree_leaf_id = id; betree_leaf_size = 0 }) + params = { min_flush_size = min_flush_size; split_size = split_size }; + node_id_cnt = node_id_cnt0; + root = (Betree_Node_Leaf { id = id; size = 0 }) }) (** [betree_main::betree::BeTree::{6}::apply]: forward function *) -let betree_be_tree_apply_fwd - (self : betree_be_tree_t) (key : u64) (msg : betree_message_t) (st : state) : +let betree_BeTree_apply + (self : betree_BeTree_t) (key : u64) (msg : betree_Message_t) (st : state) : result (state & unit) = let* (st0, _) = - betree_node_apply_fwd self.betree_be_tree_root self.betree_be_tree_params - self.betree_be_tree_node_id_cnt key msg st in + betree_Node_apply self.root self.params self.node_id_cnt key msg st in let* (st1, (_, _)) = - betree_node_apply_back'a self.betree_be_tree_root - self.betree_be_tree_params self.betree_be_tree_node_id_cnt key msg st st0 - in - betree_node_apply_back1 self.betree_be_tree_root self.betree_be_tree_params - self.betree_be_tree_node_id_cnt key msg st st1 + betree_Node_apply_back'a self.root self.params self.node_id_cnt key msg st + st0 in + betree_Node_apply_back1 self.root self.params self.node_id_cnt key msg st st1 (** [betree_main::betree::BeTree::{6}::apply]: backward function 0 *) -let betree_be_tree_apply_back - (self : betree_be_tree_t) (key : u64) (msg : betree_message_t) (st : state) +let betree_BeTree_apply_back + (self : betree_BeTree_t) (key : u64) (msg : betree_Message_t) (st : state) (st0 : state) : - result (state & betree_be_tree_t) + result (state & betree_BeTree_t) = let* (st1, _) = - betree_node_apply_fwd self.betree_be_tree_root self.betree_be_tree_params - self.betree_be_tree_node_id_cnt key msg st in + betree_Node_apply self.root self.params self.node_id_cnt key msg st in let* (st2, (n, nic)) = - betree_node_apply_back'a self.betree_be_tree_root - self.betree_be_tree_params self.betree_be_tree_node_id_cnt key msg st st1 - in + betree_Node_apply_back'a self.root self.params self.node_id_cnt key msg st + st1 in let* _ = - betree_node_apply_back1 self.betree_be_tree_root self.betree_be_tree_params - self.betree_be_tree_node_id_cnt key msg st st2 in - Return (st0, - { self with betree_be_tree_node_id_cnt = nic; betree_be_tree_root = n }) + betree_Node_apply_back1 self.root self.params self.node_id_cnt key msg st + st2 in + Return (st0, { self with node_id_cnt = nic; root = n }) (** [betree_main::betree::BeTree::{6}::insert]: forward function *) -let betree_be_tree_insert_fwd - (self : betree_be_tree_t) (key : u64) (value : u64) (st : state) : +let betree_BeTree_insert + (self : betree_BeTree_t) (key : u64) (value : u64) (st : state) : result (state & unit) = - let* (st0, _) = - betree_be_tree_apply_fwd self key (BetreeMessageInsert value) st in + let* (st0, _) = betree_BeTree_apply self key (Betree_Message_Insert value) st + in let* (st1, _) = - betree_be_tree_apply_back self key (BetreeMessageInsert value) st st0 in + betree_BeTree_apply_back self key (Betree_Message_Insert value) st st0 in Return (st1, ()) (** [betree_main::betree::BeTree::{6}::insert]: backward function 0 *) -let betree_be_tree_insert_back - (self : betree_be_tree_t) (key : u64) (value : u64) (st : state) - (st0 : state) : - result (state & betree_be_tree_t) +let betree_BeTree_insert_back + (self : betree_BeTree_t) (key : u64) (value : u64) (st : state) (st0 : state) + : + result (state & betree_BeTree_t) = - let* (st1, _) = - betree_be_tree_apply_fwd self key (BetreeMessageInsert value) st in + let* (st1, _) = betree_BeTree_apply self key (Betree_Message_Insert value) st + in let* (_, self0) = - betree_be_tree_apply_back self key (BetreeMessageInsert value) st st1 in + betree_BeTree_apply_back self key (Betree_Message_Insert value) st st1 in Return (st0, self0) (** [betree_main::betree::BeTree::{6}::delete]: forward function *) -let betree_be_tree_delete_fwd - (self : betree_be_tree_t) (key : u64) (st : state) : result (state & unit) = - let* (st0, _) = betree_be_tree_apply_fwd self key BetreeMessageDelete st in - let* (st1, _) = betree_be_tree_apply_back self key BetreeMessageDelete st st0 - in +let betree_BeTree_delete + (self : betree_BeTree_t) (key : u64) (st : state) : result (state & unit) = + let* (st0, _) = betree_BeTree_apply self key Betree_Message_Delete st in + let* (st1, _) = + betree_BeTree_apply_back self key Betree_Message_Delete st st0 in Return (st1, ()) (** [betree_main::betree::BeTree::{6}::delete]: backward function 0 *) -let betree_be_tree_delete_back - (self : betree_be_tree_t) (key : u64) (st : state) (st0 : state) : - result (state & betree_be_tree_t) +let betree_BeTree_delete_back + (self : betree_BeTree_t) (key : u64) (st : state) (st0 : state) : + result (state & betree_BeTree_t) = - let* (st1, _) = betree_be_tree_apply_fwd self key BetreeMessageDelete st in + let* (st1, _) = betree_BeTree_apply self key Betree_Message_Delete st in let* (_, self0) = - betree_be_tree_apply_back self key BetreeMessageDelete st st1 in + betree_BeTree_apply_back self key Betree_Message_Delete st st1 in Return (st0, self0) (** [betree_main::betree::BeTree::{6}::upsert]: forward function *) -let betree_be_tree_upsert_fwd - (self : betree_be_tree_t) (key : u64) (upd : betree_upsert_fun_state_t) +let betree_BeTree_upsert + (self : betree_BeTree_t) (key : u64) (upd : betree_UpsertFunState_t) (st : state) : result (state & unit) = - let* (st0, _) = - betree_be_tree_apply_fwd self key (BetreeMessageUpsert upd) st in + let* (st0, _) = betree_BeTree_apply self key (Betree_Message_Upsert upd) st + in let* (st1, _) = - betree_be_tree_apply_back self key (BetreeMessageUpsert upd) st st0 in + betree_BeTree_apply_back self key (Betree_Message_Upsert upd) st st0 in Return (st1, ()) (** [betree_main::betree::BeTree::{6}::upsert]: backward function 0 *) -let betree_be_tree_upsert_back - (self : betree_be_tree_t) (key : u64) (upd : betree_upsert_fun_state_t) +let betree_BeTree_upsert_back + (self : betree_BeTree_t) (key : u64) (upd : betree_UpsertFunState_t) (st : state) (st0 : state) : - result (state & betree_be_tree_t) + result (state & betree_BeTree_t) = - let* (st1, _) = - betree_be_tree_apply_fwd self key (BetreeMessageUpsert upd) st in + let* (st1, _) = betree_BeTree_apply self key (Betree_Message_Upsert upd) st + in let* (_, self0) = - betree_be_tree_apply_back self key (BetreeMessageUpsert upd) st st1 in + betree_BeTree_apply_back self key (Betree_Message_Upsert upd) st st1 in Return (st0, self0) (** [betree_main::betree::BeTree::{6}::lookup]: forward function *) -let betree_be_tree_lookup_fwd - (self : betree_be_tree_t) (key : u64) (st : state) : +let betree_BeTree_lookup + (self : betree_BeTree_t) (key : u64) (st : state) : result (state & (option u64)) = - betree_node_lookup_fwd self.betree_be_tree_root key st + betree_Node_lookup self.root key st (** [betree_main::betree::BeTree::{6}::lookup]: backward function 0 *) -let betree_be_tree_lookup_back - (self : betree_be_tree_t) (key : u64) (st : state) (st0 : state) : - result (state & betree_be_tree_t) +let betree_BeTree_lookup_back + (self : betree_BeTree_t) (key : u64) (st : state) (st0 : state) : + result (state & betree_BeTree_t) = - let* (st1, n) = betree_node_lookup_back self.betree_be_tree_root key st st0 - in - Return (st1, { self with betree_be_tree_root = n }) + let* (st1, n) = betree_Node_lookup_back self.root key st st0 in + Return (st1, { self with root = n }) (** [betree_main::main]: forward function *) -let main_fwd : result unit = +let main : result unit = Return () (** Unit test for [betree_main::main] *) -let _ = assert_norm (main_fwd = Return ()) +let _ = assert_norm (main = Return ()) diff --git a/tests/fstar/betree_back_stateful/BetreeMain.Opaque.fsti b/tests/fstar/betree_back_stateful/BetreeMain.Opaque.fsti index c33cf225..c5d0a814 100644 --- a/tests/fstar/betree_back_stateful/BetreeMain.Opaque.fsti +++ b/tests/fstar/betree_back_stateful/BetreeMain.Opaque.fsti @@ -7,24 +7,24 @@ include BetreeMain.Types #set-options "--z3rlimit 50 --fuel 1 --ifuel 1" (** [betree_main::betree_utils::load_internal_node]: forward function *) -val betree_utils_load_internal_node_fwd - : u64 -> state -> result (state & (betree_list_t (u64 & betree_message_t))) +val betree_utils_load_internal_node + : u64 -> state -> result (state & (betree_List_t (u64 & betree_Message_t))) (** [betree_main::betree_utils::store_internal_node]: forward function *) -val betree_utils_store_internal_node_fwd +val betree_utils_store_internal_node : - u64 -> betree_list_t (u64 & betree_message_t) -> state -> result (state & + u64 -> betree_List_t (u64 & betree_Message_t) -> state -> result (state & unit) (** [betree_main::betree_utils::load_leaf_node]: forward function *) -val betree_utils_load_leaf_node_fwd - : u64 -> state -> result (state & (betree_list_t (u64 & u64))) +val betree_utils_load_leaf_node + : u64 -> state -> result (state & (betree_List_t (u64 & u64))) (** [betree_main::betree_utils::store_leaf_node]: forward function *) -val betree_utils_store_leaf_node_fwd - : u64 -> betree_list_t (u64 & u64) -> state -> result (state & unit) +val betree_utils_store_leaf_node + : u64 -> betree_List_t (u64 & u64) -> state -> result (state & unit) (** [core::option::Option::{0}::unwrap]: forward function *) -val core_option_option_unwrap_fwd +val core_option_Option_unwrap (t : Type0) : option t -> state -> result (state & t) diff --git a/tests/fstar/betree_back_stateful/BetreeMain.Types.fsti b/tests/fstar/betree_back_stateful/BetreeMain.Types.fsti index a937c726..9320f6b7 100644 --- a/tests/fstar/betree_back_stateful/BetreeMain.Types.fsti +++ b/tests/fstar/betree_back_stateful/BetreeMain.Types.fsti @@ -6,53 +6,47 @@ open Primitives #set-options "--z3rlimit 50 --fuel 1 --ifuel 1" (** [betree_main::betree::List] *) -type betree_list_t (t : Type0) = -| BetreeListCons : t -> betree_list_t t -> betree_list_t t -| BetreeListNil : betree_list_t t +type betree_List_t (t : Type0) = +| Betree_List_Cons : t -> betree_List_t t -> betree_List_t t +| Betree_List_Nil : betree_List_t t (** [betree_main::betree::UpsertFunState] *) -type betree_upsert_fun_state_t = -| BetreeUpsertFunStateAdd : u64 -> betree_upsert_fun_state_t -| BetreeUpsertFunStateSub : u64 -> betree_upsert_fun_state_t +type betree_UpsertFunState_t = +| Betree_UpsertFunState_Add : u64 -> betree_UpsertFunState_t +| Betree_UpsertFunState_Sub : u64 -> betree_UpsertFunState_t (** [betree_main::betree::Message] *) -type betree_message_t = -| BetreeMessageInsert : u64 -> betree_message_t -| BetreeMessageDelete : betree_message_t -| BetreeMessageUpsert : betree_upsert_fun_state_t -> betree_message_t +type betree_Message_t = +| Betree_Message_Insert : u64 -> betree_Message_t +| Betree_Message_Delete : betree_Message_t +| Betree_Message_Upsert : betree_UpsertFunState_t -> betree_Message_t (** [betree_main::betree::Leaf] *) -type betree_leaf_t = { betree_leaf_id : u64; betree_leaf_size : u64; } +type betree_Leaf_t = { id : u64; size : u64; } (** [betree_main::betree::Internal] *) -type betree_internal_t = +type betree_Internal_t = { - betree_internal_id : u64; - betree_internal_pivot : u64; - betree_internal_left : betree_node_t; - betree_internal_right : betree_node_t; + id : u64; pivot : u64; left : betree_Node_t; right : betree_Node_t; } (** [betree_main::betree::Node] *) -and betree_node_t = -| BetreeNodeInternal : betree_internal_t -> betree_node_t -| BetreeNodeLeaf : betree_leaf_t -> betree_node_t +and betree_Node_t = +| Betree_Node_Internal : betree_Internal_t -> betree_Node_t +| Betree_Node_Leaf : betree_Leaf_t -> betree_Node_t (** [betree_main::betree::Params] *) -type betree_params_t = -{ - betree_params_min_flush_size : u64; betree_params_split_size : u64; -} +type betree_Params_t = { min_flush_size : u64; split_size : u64; } (** [betree_main::betree::NodeIdCounter] *) -type betree_node_id_counter_t = { betree_node_id_counter_next_node_id : u64; } +type betree_NodeIdCounter_t = { next_node_id : u64; } (** [betree_main::betree::BeTree] *) -type betree_be_tree_t = +type betree_BeTree_t = { - betree_be_tree_params : betree_params_t; - betree_be_tree_node_id_cnt : betree_node_id_counter_t; - betree_be_tree_root : betree_node_t; + params : betree_Params_t; + node_id_cnt : betree_NodeIdCounter_t; + root : betree_Node_t; } (** The state type used in the state-error monad *) diff --git a/tests/fstar/betree_back_stateful/Primitives.fst b/tests/fstar/betree_back_stateful/Primitives.fst index 9db82069..3297803c 100644 --- a/tests/fstar/betree_back_stateful/Primitives.fst +++ b/tests/fstar/betree_back_stateful/Primitives.fst @@ -55,8 +55,12 @@ type string = string let is_zero (n: nat) : bool = n = 0 let decrease (n: nat{n > 0}) : nat = n - 1 -let mem_replace_fwd (a : Type0) (x : a) (y : a) : a = x -let mem_replace_back (a : Type0) (x : a) (y : a) : a = y +let core_mem_replace (a : Type0) (x : a) (y : a) : a = x +let core_mem_replace_back (a : Type0) (x : a) (y : a) : a = y + +// 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 @@ -100,6 +104,11 @@ type scalar_ty = | 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 @@ -162,6 +171,15 @@ let scalar_sub (#ty : scalar_ty) (x : scalar ty) (y : scalar ty) : result (scala let scalar_mul (#ty : scalar_ty) (x : scalar ty) (y : scalar ty) : result (scalar ty) = mk_scalar ty (x * y) +let scalar_lxor (#ty : scalar_ty { is_unsigned ty && ty <> Usize }) + (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 + (** 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) = @@ -169,17 +187,44 @@ let scalar_cast (src_ty : scalar_ty) (tgt_ty : scalar_ty) (x : scalar src_ty) : /// 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 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 +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 @@ -231,7 +276,7 @@ let u32_add = scalar_add #U32 let u64_add = scalar_add #U64 let u128_add = scalar_add #U128 -/// Substraction +/// Subtraction let isize_sub = scalar_sub #Isize let i8_sub = scalar_sub #I8 let i16_sub = scalar_sub #I16 @@ -259,12 +304,65 @@ let u32_mul = scalar_mul #U32 let u64_mul = scalar_mul #U64 let u128_mul = scalar_mul #U128 -(*** Range *) -type range (a : Type0) = { +/// Logical operators, defined for unsigned types only, so far +let u8_xor = scalar_lxor #U8 +let u16_xor = scalar_lxor #U16 +let u32_xor = scalar_lxor #U32 +let u64_xor = scalar_lxor #U64 +let u128_xor = scalar_lxor #U128 + +(*** 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; + index_mut_back : self → idx → 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; + deref_mut_back : self → 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 = Return x +let alloc_boxed_Box_deref_mut (t : Type0) (x : t) : result t = Return x +let alloc_boxed_Box_deref_mut_back (t : Type) (_ : t) (x : t) : result t = Return 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; + deref_mut_back = alloc_boxed_Box_deref_mut_back self; +} + (*** Array *) type array (a : Type0) (n : usize) = s:list a{length s = n} @@ -278,15 +376,11 @@ let mk_array (a : Type0) (n : usize) normalize_term_spec (FStar.List.Tot.length l); l -let array_index_shared (a : Type0) (n : usize) (x : array a n) (i : usize) : result a = - if i < length x then Return (index x i) - else Fail Failure - -let array_index_mut_fwd (a : Type0) (n : usize) (x : array a n) (i : usize) : result a = +let array_index_usize (a : Type0) (n : usize) (x : array a n) (i : usize) : result a = if i < length x then Return (index x i) else Fail Failure -let array_index_mut_back (a : Type0) (n : usize) (x : array a n) (i : usize) (nx : a) : result (array a n) = +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 Return (list_update x i nx) else Fail Failure @@ -295,55 +389,54 @@ 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_shared (a : Type0) (x : slice a) (i : usize) : result a = +let slice_index_usize (a : Type0) (x : slice a) (i : usize) : result a = if i < length x then Return (index x i) else Fail Failure -let slice_index_mut_fwd (a : Type0) (x : slice a) (i : usize) : result a = - if i < length x then Return (index x i) - else Fail Failure - -let slice_index_mut_back (a : Type0) (x : slice a) (i : usize) (nx : a) : result (slice a) = +let slice_update_usize (a : Type0) (x : slice a) (i : usize) (nx : a) : result (slice a) = if i < length x then Return (list_update x i nx) else Fail Failure (*** Subslices *) -let array_to_slice_shared (a : Type0) (n : usize) (x : array a n) : result (slice a) = Return x -let array_to_slice_mut_fwd (a : Type0) (n : usize) (x : array a n) : result (slice a) = Return x -let array_to_slice_mut_back (a : Type0) (n : usize) (x : array a n) (s : slice a) : result (array a n) = +let array_to_slice (a : Type0) (n : usize) (x : array a n) : result (slice a) = Return 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 Return s else Fail Failure // TODO: finish the definitions below (there lacks [List.drop] and [List.take] in the standard library *) -let array_subslice_shared (a : Type0) (n : usize) (x : array a n) (r : range usize) : result (slice a) = - admit() - -let array_subslice_mut_fwd (a : Type0) (n : usize) (x : array a n) (r : range usize) : result (slice a) = +let array_subslice (a : Type0) (n : usize) (x : array a n) (r : core_ops_range_Range usize) : result (slice a) = admit() -let array_subslice_mut_back (a : Type0) (n : usize) (x : array a n) (r : range usize) (ns : slice a) : result (array a n) = +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 slice_subslice_shared (a : Type0) (x : slice a) (r : range usize) : result (slice a) = +let array_repeat (a : Type0) (n : usize) (x : a) : array a n = admit() -let slice_subslice_mut_fwd (a : Type0) (x : slice a) (r : range usize) : result (slice a) = +let slice_subslice (a : Type0) (x : slice a) (r : core_ops_range_Range usize) : result (slice a) = admit() -let slice_subslice_mut_back (a : Type0) (x : slice a) (r : range usize) (ns : slice a) : result (slice a) = +let slice_update_subslice (a : Type0) (x : slice a) (r : core_ops_range_Range usize) (ns : slice a) : result (slice a) = admit() (*** Vector *) -type vec (a : Type0) = v:list a{length v <= usize_max} +type alloc_vec_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 +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 Return (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 Return (list_update v i x) else Fail Failure // 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)) +let alloc_vec_Vec_push_fwd (a : Type0) (v : alloc_vec_Vec a) (x : a) : unit = () +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 @@ -358,18 +451,279 @@ let vec_push_back (a : Type0) (v : vec a) (x : a) : else Fail Failure // The **forward** function shouldn't be used -let vec_insert_fwd (a : Type0) (v : vec a) (i : usize) (x : a) : result unit = +let alloc_vec_Vec_insert_fwd (a : Type0) (v : alloc_vec_Vec a) (i : usize) (x : a) : result unit = if i < length v then Return () else Fail Failure -let vec_insert_back (a : Type0) (v : vec a) (i : usize) (x : a) : result (vec a) = +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 Return (list_update v i x) else Fail Failure -// 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 Failure -let vec_index_back (a : Type0) (v : vec a) (i : usize) (x : a) : result unit = - if i < length v then Return () 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); + get_mut_back : self → t → 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; + index_mut_back : self → t → output → result t; +} -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 Failure -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 Failure +// [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 -> Return x + +// [core::slice::index::Range:::get]: forward function +let core_slice_index_Range_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_Range_get_mut + (t : Type0) : core_ops_range_Range usize → slice t → result (option (slice t)) = + admit () // TODO + +// [core::slice::index::Range::get_mut]: backward function 0 +let core_slice_index_Range_get_mut_back + (t : Type0) : + core_ops_range_Range usize → slice t → option (slice t) → result (slice t) = + admit () // TODO + +// [core::slice::index::Range::get_unchecked]: forward function +let core_slice_index_Range_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_Range_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_Range_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_Range_index_mut + (t : Type0) : core_ops_range_Range usize → slice t → result (slice t) = + admit () // TODO + +// [core::slice::index::Range::index_mut]: backward function 0 +let core_slice_index_Range_index_mut_back + (t : Type0) : core_ops_range_Range usize → 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 = + admit () // + +// [core::slice::index::[T]::index_mut]: backward function 0 +let core_slice_index_Slice_index_mut_back + (t idx : Type0) (inst : core_slice_index_SliceIndex idx (slice t)) : + slice t → idx → inst.output → result (slice t) = + admit () // TODO + +// [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 = + admit () // TODO + +// [core::array::[T; N]::index_mut]: backward function 0 +let core_array_Array_index_mut_back + (t idx : Type0) (n : usize) (inst : core_ops_index_IndexMut (slice t) idx) + (a : array t n) (i : idx) (x : inst.indexInst.output) : result (array t n) = + admit () // TODO + +// Trait implementation: [core::slice::index::[T]] +let core_slice_index_Slice_coreopsindexIndexInst (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::private_slice_index::Range] +let core_slice_index_private_slice_index_Range_coresliceindexprivate_slice_indexSealedInst + : core_slice_index_private_slice_index_Sealed (core_ops_range_Range usize) = () + +// Trait implementation: [core::slice::index::Range] +let core_slice_index_Range_coresliceindexSliceIndexInst (t : Type0) : + core_slice_index_SliceIndex (core_ops_range_Range usize) (slice t) = { + sealedInst = core_slice_index_private_slice_index_Range_coresliceindexprivate_slice_indexSealedInst; + output = slice t; + get = core_slice_index_Range_get t; + get_mut = core_slice_index_Range_get_mut t; + get_mut_back = core_slice_index_Range_get_mut_back t; + get_unchecked = core_slice_index_Range_get_unchecked t; + get_unchecked_mut = core_slice_index_Range_get_unchecked_mut t; + index = core_slice_index_Range_index t; + index_mut = core_slice_index_Range_index_mut t; + index_mut_back = core_slice_index_Range_index_mut_back t; +} + +// Trait implementation: [core::slice::index::[T]] +let core_slice_index_Slice_coreopsindexIndexMutInst (t idx : Type0) + (inst : core_slice_index_SliceIndex idx (slice t)) : + core_ops_index_IndexMut (slice t) idx = { + indexInst = core_slice_index_Slice_coreopsindexIndexInst t idx inst; + index_mut = core_slice_index_Slice_index_mut t idx inst; + index_mut_back = core_slice_index_Slice_index_mut_back t idx inst; +} + +// Trait implementation: [core::array::[T; N]] +let core_array_Array_coreopsindexIndexInst (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_array_Array_coreopsindexIndexMutInst (t idx : Type0) (n : usize) + (inst : core_ops_index_IndexMut (slice t) idx) : + core_ops_index_IndexMut (array t n) idx = { + indexInst = core_array_Array_coreopsindexIndexInst t idx n inst.indexInst; + index_mut = core_array_Array_index_mut t idx n inst; + index_mut_back = core_array_Array_index_mut_back 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) = + admit () // TODO + +// [core::slice::index::usize::get_mut]: backward function 0 +let core_slice_index_usize_get_mut_back + (t : Type0) : usize → slice 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 = + admit () // TODO + +// [core::slice::index::usize::index_mut]: backward function 0 +let core_slice_index_usize_index_mut_back + (t : Type0) : usize → slice t → t → result (slice t) = + admit () // TODO + +// Trait implementation: [core::slice::index::private_slice_index::usize] +let core_slice_index_private_slice_index_usize_coresliceindexprivate_slice_indexSealedInst + : core_slice_index_private_slice_index_Sealed usize = () + +// Trait implementation: [core::slice::index::usize] +let core_slice_index_usize_coresliceindexSliceIndexInst (t : Type0) : + core_slice_index_SliceIndex usize (slice t) = { + sealedInst = core_slice_index_private_slice_index_usize_coresliceindexprivate_slice_indexSealedInst; + output = t; + get = core_slice_index_usize_get t; + get_mut = core_slice_index_usize_get_mut t; + get_mut_back = core_slice_index_usize_get_mut_back 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; + index_mut_back = core_slice_index_usize_index_mut_back 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 = + admit () // TODO + +// [alloc::vec::Vec::index_mut]: backward function 0 +let alloc_vec_Vec_index_mut_back + (t idx : Type0) (inst : core_slice_index_SliceIndex idx (slice t)) + (self : alloc_vec_Vec t) (i : idx) (x : 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; + index_mut_back = alloc_vec_Vec_index_mut_back 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_usize_coresliceindexSliceIndexInst a) v i == + alloc_vec_Vec_index_usize v i) + [SMTPat (alloc_vec_Vec_index a usize (core_slice_index_usize_coresliceindexSliceIndexInst 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_usize_coresliceindexSliceIndexInst a) v i == + alloc_vec_Vec_index_usize v i) + [SMTPat (alloc_vec_Vec_index_mut a usize (core_slice_index_usize_coresliceindexSliceIndexInst a) v i)] + = + admit() + +let alloc_vec_Vec_index_mut_back_eq (#a : Type0) (v : alloc_vec_Vec a) (i : usize) (x : a) : + Lemma ( + alloc_vec_Vec_index_mut_back a usize (core_slice_index_usize_coresliceindexSliceIndexInst a) v i x == + alloc_vec_Vec_update_usize v i x) + [SMTPat (alloc_vec_Vec_index_mut_back a usize (core_slice_index_usize_coresliceindexSliceIndexInst a) v i x)] + = + admit() diff --git a/tests/fstar/hashmap/Hashmap.Clauses.Template.fst b/tests/fstar/hashmap/Hashmap.Clauses.Template.fst index 640ae783..a1f81666 100644 --- a/tests/fstar/hashmap/Hashmap.Clauses.Template.fst +++ b/tests/fstar/hashmap/Hashmap.Clauses.Template.fst @@ -8,55 +8,55 @@ open Hashmap.Types (** [hashmap::HashMap::{0}::allocate_slots]: decreases clause *) unfold -let hash_map_allocate_slots_loop_decreases (t : Type0) (slots : vec (list_t t)) - (n : usize) : nat = +let hashMap_allocate_slots_loop_decreases (t : Type0) + (slots : alloc_vec_Vec (list_t t)) (n : usize) : nat = admit () (** [hashmap::HashMap::{0}::clear]: decreases clause *) unfold -let hash_map_clear_loop_decreases (t : Type0) (slots : vec (list_t t)) +let hashMap_clear_loop_decreases (t : Type0) (slots : alloc_vec_Vec (list_t t)) (i : usize) : nat = admit () (** [hashmap::HashMap::{0}::insert_in_list]: decreases clause *) unfold -let hash_map_insert_in_list_loop_decreases (t : Type0) (key : usize) - (value : t) (ls : list_t t) : nat = +let hashMap_insert_in_list_loop_decreases (t : Type0) (key : usize) (value : t) + (ls : list_t t) : nat = admit () (** [hashmap::HashMap::{0}::move_elements_from_list]: decreases clause *) unfold -let hash_map_move_elements_from_list_loop_decreases (t : Type0) - (ntable : hash_map_t t) (ls : list_t t) : nat = +let hashMap_move_elements_from_list_loop_decreases (t : Type0) + (ntable : hashMap_t t) (ls : list_t t) : nat = admit () (** [hashmap::HashMap::{0}::move_elements]: decreases clause *) unfold -let hash_map_move_elements_loop_decreases (t : Type0) (ntable : hash_map_t t) - (slots : vec (list_t t)) (i : usize) : nat = +let hashMap_move_elements_loop_decreases (t : Type0) (ntable : hashMap_t t) + (slots : alloc_vec_Vec (list_t t)) (i : usize) : nat = admit () (** [hashmap::HashMap::{0}::contains_key_in_list]: decreases clause *) unfold -let hash_map_contains_key_in_list_loop_decreases (t : Type0) (key : usize) +let hashMap_contains_key_in_list_loop_decreases (t : Type0) (key : usize) (ls : list_t t) : nat = admit () (** [hashmap::HashMap::{0}::get_in_list]: decreases clause *) unfold -let hash_map_get_in_list_loop_decreases (t : Type0) (key : usize) +let hashMap_get_in_list_loop_decreases (t : Type0) (key : usize) (ls : list_t t) : nat = admit () (** [hashmap::HashMap::{0}::get_mut_in_list]: decreases clause *) unfold -let hash_map_get_mut_in_list_loop_decreases (t : Type0) (ls : list_t t) +let hashMap_get_mut_in_list_loop_decreases (t : Type0) (ls : list_t t) (key : usize) : nat = admit () (** [hashmap::HashMap::{0}::remove_from_list]: decreases clause *) unfold -let hash_map_remove_from_list_loop_decreases (t : Type0) (key : usize) +let hashMap_remove_from_list_loop_decreases (t : Type0) (key : usize) (ls : list_t t) : nat = admit () diff --git a/tests/fstar/hashmap/Hashmap.Clauses.fst b/tests/fstar/hashmap/Hashmap.Clauses.fst index d8bb8d20..6c699d05 100644 --- a/tests/fstar/hashmap/Hashmap.Clauses.fst +++ b/tests/fstar/hashmap/Hashmap.Clauses.fst @@ -8,54 +8,54 @@ open Hashmap.Types (** [hashmap::HashMap::allocate_slots]: decreases clause *) unfold -let hash_map_allocate_slots_loop_decreases (t : Type0) (slots : vec (list_t t)) - (n : usize) : nat = n +let hashMap_allocate_slots_loop_decreases (t : Type0) + (slots : alloc_vec_Vec (list_t t)) (n : usize) : nat = n (** [hashmap::HashMap::clear]: decreases clause *) unfold -let hash_map_clear_loop_decreases (t : Type0) (slots : vec (list_t t)) +let hashMap_clear_loop_decreases (t : Type0) (slots : alloc_vec_Vec (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 hash_map_insert_in_list_loop_decreases (t : Type0) (key : usize) (value : t) +let hashMap_insert_in_list_loop_decreases (t : Type0) (key : usize) (value : t) (ls : list_t t) : list_t t = ls (** [hashmap::HashMap::move_elements_from_list]: decreases clause *) unfold -let hash_map_move_elements_from_list_loop_decreases (t : Type0) - (ntable : hash_map_t t) (ls : list_t t) : list_t t = +let hashMap_move_elements_from_list_loop_decreases (t : Type0) + (ntable : hashMap_t t) (ls : list_t t) : list_t t = ls (** [hashmap::HashMap::move_elements]: decreases clause *) unfold -let hash_map_move_elements_loop_decreases (t : Type0) (ntable : hash_map_t t) - (slots : vec (list_t t)) (i : usize) : nat = +let hashMap_move_elements_loop_decreases (t : Type0) (ntable : hashMap_t t) + (slots : alloc_vec_Vec (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 hash_map_contains_key_in_list_loop_decreases (t : Type0) (key : usize) +let hashMap_contains_key_in_list_loop_decreases (t : Type0) (key : usize) (ls : list_t t) : list_t t = ls (** [hashmap::HashMap::get_in_list]: decreases clause *) unfold -let hash_map_get_in_list_loop_decreases (t : Type0) (key : usize) (ls : list_t t) : +let hashMap_get_in_list_loop_decreases (t : Type0) (key : usize) (ls : list_t t) : list_t t = ls (** [hashmap::HashMap::get_mut_in_list]: decreases clause *) unfold -let hash_map_get_mut_in_list_loop_decreases (t : Type0) (ls : list_t t) +let hashMap_get_mut_in_list_loop_decreases (t : Type0) (ls : list_t t) (key : usize) : list_t t = ls (** [hashmap::HashMap::remove_from_list]: decreases clause *) unfold -let hash_map_remove_from_list_loop_decreases (t : Type0) (key : usize) +let hashMap_remove_from_list_loop_decreases (t : Type0) (key : usize) (ls : list_t t) : list_t t = ls diff --git a/tests/fstar/hashmap/Hashmap.Funs.fst b/tests/fstar/hashmap/Hashmap.Funs.fst index f4c13a7b..0e31e364 100644 --- a/tests/fstar/hashmap/Hashmap.Funs.fst +++ b/tests/fstar/hashmap/Hashmap.Funs.fst @@ -8,460 +8,486 @@ include Hashmap.Clauses #set-options "--z3rlimit 50 --fuel 1 --ifuel 1" (** [hashmap::hash_key]: forward function *) -let hash_key_fwd (k : usize) : result usize = +let hash_key (k : usize) : result usize = Return k (** [hashmap::HashMap::{0}::allocate_slots]: loop 0: forward function *) -let rec hash_map_allocate_slots_loop_fwd - (t : Type0) (slots : vec (list_t t)) (n : usize) : - Tot (result (vec (list_t t))) - (decreases (hash_map_allocate_slots_loop_decreases t slots n)) +let rec hashMap_allocate_slots_loop + (t : Type0) (slots : alloc_vec_Vec (list_t t)) (n : usize) : + Tot (result (alloc_vec_Vec (list_t t))) + (decreases (hashMap_allocate_slots_loop_decreases t slots n)) = if n > 0 then - let* slots0 = vec_push_back (list_t t) slots ListNil in + let* slots0 = alloc_vec_Vec_push (list_t t) slots List_Nil in let* n0 = usize_sub n 1 in - hash_map_allocate_slots_loop_fwd t slots0 n0 + hashMap_allocate_slots_loop t slots0 n0 else Return slots (** [hashmap::HashMap::{0}::allocate_slots]: forward function *) -let hash_map_allocate_slots_fwd - (t : Type0) (slots : vec (list_t t)) (n : usize) : result (vec (list_t t)) = - hash_map_allocate_slots_loop_fwd t slots n +let hashMap_allocate_slots + (t : Type0) (slots : alloc_vec_Vec (list_t t)) (n : usize) : + result (alloc_vec_Vec (list_t t)) + = + hashMap_allocate_slots_loop t slots n (** [hashmap::HashMap::{0}::new_with_capacity]: forward function *) -let hash_map_new_with_capacity_fwd +let hashMap_new_with_capacity (t : Type0) (capacity : usize) (max_load_dividend : usize) (max_load_divisor : usize) : - result (hash_map_t t) + result (hashMap_t t) = - let v = vec_new (list_t t) in - let* slots = hash_map_allocate_slots_fwd t v capacity in + let v = alloc_vec_Vec_new (list_t t) in + let* slots = hashMap_allocate_slots t v capacity in let* i = usize_mul capacity max_load_dividend in let* i0 = usize_div i max_load_divisor in Return { - hash_map_num_entries = 0; - hash_map_max_load_factor = (max_load_dividend, max_load_divisor); - hash_map_max_load = i0; - hash_map_slots = slots + num_entries = 0; + max_load_factor = (max_load_dividend, max_load_divisor); + max_load = i0; + slots = slots } (** [hashmap::HashMap::{0}::new]: forward function *) -let hash_map_new_fwd (t : Type0) : result (hash_map_t t) = - hash_map_new_with_capacity_fwd t 32 4 5 +let hashMap_new (t : Type0) : result (hashMap_t t) = + hashMap_new_with_capacity t 32 4 5 (** [hashmap::HashMap::{0}::clear]: loop 0: merged forward/backward function (there is a single backward function, and the forward function returns ()) *) -let rec hash_map_clear_loop_fwd_back - (t : Type0) (slots : vec (list_t t)) (i : usize) : - Tot (result (vec (list_t t))) - (decreases (hash_map_clear_loop_decreases t slots i)) +let rec hashMap_clear_loop + (t : Type0) (slots : alloc_vec_Vec (list_t t)) (i : usize) : + Tot (result (alloc_vec_Vec (list_t t))) + (decreases (hashMap_clear_loop_decreases t slots i)) = - let i0 = vec_len (list_t t) slots in + let i0 = alloc_vec_Vec_len (list_t t) slots in if i < i0 then let* i1 = usize_add i 1 in - let* slots0 = vec_index_mut_back (list_t t) slots i ListNil in - hash_map_clear_loop_fwd_back t slots0 i1 + let* slots0 = + alloc_vec_Vec_index_mut_back (list_t t) usize + (core_slice_index_usize_coresliceindexSliceIndexInst (list_t t)) slots + i List_Nil in + hashMap_clear_loop t slots0 i1 else Return slots (** [hashmap::HashMap::{0}::clear]: merged forward/backward function (there is a single backward function, and the forward function returns ()) *) -let hash_map_clear_fwd_back - (t : Type0) (self : hash_map_t t) : result (hash_map_t t) = - let* v = hash_map_clear_loop_fwd_back t self.hash_map_slots 0 in - Return { self with hash_map_num_entries = 0; hash_map_slots = v } +let hashMap_clear (t : Type0) (self : hashMap_t t) : result (hashMap_t t) = + let* v = hashMap_clear_loop t self.slots 0 in + Return { self with num_entries = 0; slots = v } (** [hashmap::HashMap::{0}::len]: forward function *) -let hash_map_len_fwd (t : Type0) (self : hash_map_t t) : result usize = - Return self.hash_map_num_entries +let hashMap_len (t : Type0) (self : hashMap_t t) : result usize = + Return self.num_entries (** [hashmap::HashMap::{0}::insert_in_list]: loop 0: forward function *) -let rec hash_map_insert_in_list_loop_fwd +let rec hashMap_insert_in_list_loop (t : Type0) (key : usize) (value : t) (ls : list_t t) : Tot (result bool) - (decreases (hash_map_insert_in_list_loop_decreases t key value ls)) + (decreases (hashMap_insert_in_list_loop_decreases t key value ls)) = begin match ls with - | ListCons ckey cvalue tl -> + | List_Cons ckey cvalue tl -> if ckey = key then Return false - else hash_map_insert_in_list_loop_fwd t key value tl - | ListNil -> Return true + else hashMap_insert_in_list_loop t key value tl + | List_Nil -> Return true end (** [hashmap::HashMap::{0}::insert_in_list]: forward function *) -let hash_map_insert_in_list_fwd +let hashMap_insert_in_list (t : Type0) (key : usize) (value : t) (ls : list_t t) : result bool = - hash_map_insert_in_list_loop_fwd t key value ls + hashMap_insert_in_list_loop t key value ls (** [hashmap::HashMap::{0}::insert_in_list]: loop 0: backward function 0 *) -let rec hash_map_insert_in_list_loop_back +let rec hashMap_insert_in_list_loop_back (t : Type0) (key : usize) (value : t) (ls : list_t t) : Tot (result (list_t t)) - (decreases (hash_map_insert_in_list_loop_decreases t key value ls)) + (decreases (hashMap_insert_in_list_loop_decreases t key value ls)) = begin match ls with - | ListCons ckey cvalue tl -> + | List_Cons ckey cvalue tl -> if ckey = key - then Return (ListCons ckey value tl) + then Return (List_Cons ckey value tl) else - let* tl0 = hash_map_insert_in_list_loop_back t key value tl in - Return (ListCons ckey cvalue tl0) - | ListNil -> let l = ListNil in Return (ListCons key value l) + let* tl0 = hashMap_insert_in_list_loop_back t key value tl in + Return (List_Cons ckey cvalue tl0) + | List_Nil -> let l = List_Nil in Return (List_Cons key value l) end (** [hashmap::HashMap::{0}::insert_in_list]: backward function 0 *) -let hash_map_insert_in_list_back +let hashMap_insert_in_list_back (t : Type0) (key : usize) (value : t) (ls : list_t t) : result (list_t t) = - hash_map_insert_in_list_loop_back t key value ls + hashMap_insert_in_list_loop_back t key value ls (** [hashmap::HashMap::{0}::insert_no_resize]: merged forward/backward function (there is a single backward function, and the forward function returns ()) *) -let hash_map_insert_no_resize_fwd_back - (t : Type0) (self : hash_map_t t) (key : usize) (value : t) : - result (hash_map_t t) +let hashMap_insert_no_resize + (t : Type0) (self : hashMap_t t) (key : usize) (value : t) : + result (hashMap_t t) = - let* hash = hash_key_fwd key in - let i = vec_len (list_t t) self.hash_map_slots in + let* hash = hash_key key in + let i = alloc_vec_Vec_len (list_t t) self.slots in let* hash_mod = usize_rem hash i in - let* l = vec_index_mut_fwd (list_t t) self.hash_map_slots hash_mod in - let* inserted = hash_map_insert_in_list_fwd t key value l in + let* l = + alloc_vec_Vec_index_mut (list_t t) usize + (core_slice_index_usize_coresliceindexSliceIndexInst (list_t t)) + self.slots hash_mod in + let* inserted = hashMap_insert_in_list t key value l in if inserted then - let* i0 = usize_add self.hash_map_num_entries 1 in - let* l0 = hash_map_insert_in_list_back t key value l in - let* v = vec_index_mut_back (list_t t) self.hash_map_slots hash_mod l0 in - Return { self with hash_map_num_entries = i0; hash_map_slots = v } + let* i0 = usize_add self.num_entries 1 in + let* l0 = hashMap_insert_in_list_back t key value l in + let* v = + alloc_vec_Vec_index_mut_back (list_t t) usize + (core_slice_index_usize_coresliceindexSliceIndexInst (list_t t)) + self.slots hash_mod l0 in + Return { self with num_entries = i0; slots = v } else - let* l0 = hash_map_insert_in_list_back t key value l in - let* v = vec_index_mut_back (list_t t) self.hash_map_slots hash_mod l0 in - Return { self with hash_map_slots = v } - -(** [core::num::u32::{8}::MAX] *) -let core_num_u32_max_body : result u32 = Return 4294967295 -let core_num_u32_max_c : u32 = eval_global core_num_u32_max_body + let* l0 = hashMap_insert_in_list_back t key value l in + let* v = + alloc_vec_Vec_index_mut_back (list_t t) usize + (core_slice_index_usize_coresliceindexSliceIndexInst (list_t t)) + self.slots hash_mod l0 in + Return { self with slots = v } (** [hashmap::HashMap::{0}::move_elements_from_list]: loop 0: merged forward/backward function (there is a single backward function, and the forward function returns ()) *) -let rec hash_map_move_elements_from_list_loop_fwd_back - (t : Type0) (ntable : hash_map_t t) (ls : list_t t) : - Tot (result (hash_map_t t)) - (decreases (hash_map_move_elements_from_list_loop_decreases t ntable ls)) +let rec hashMap_move_elements_from_list_loop + (t : Type0) (ntable : hashMap_t t) (ls : list_t t) : + Tot (result (hashMap_t t)) + (decreases (hashMap_move_elements_from_list_loop_decreases t ntable ls)) = begin match ls with - | ListCons k v tl -> - let* ntable0 = hash_map_insert_no_resize_fwd_back t ntable k v in - hash_map_move_elements_from_list_loop_fwd_back t ntable0 tl - | ListNil -> Return ntable + | List_Cons k v tl -> + let* ntable0 = hashMap_insert_no_resize t ntable k v in + hashMap_move_elements_from_list_loop t ntable0 tl + | List_Nil -> Return ntable end (** [hashmap::HashMap::{0}::move_elements_from_list]: merged forward/backward function (there is a single backward function, and the forward function returns ()) *) -let hash_map_move_elements_from_list_fwd_back - (t : Type0) (ntable : hash_map_t t) (ls : list_t t) : result (hash_map_t t) = - hash_map_move_elements_from_list_loop_fwd_back t ntable ls +let hashMap_move_elements_from_list + (t : Type0) (ntable : hashMap_t t) (ls : list_t t) : result (hashMap_t t) = + hashMap_move_elements_from_list_loop t ntable ls (** [hashmap::HashMap::{0}::move_elements]: loop 0: merged forward/backward function (there is a single backward function, and the forward function returns ()) *) -let rec hash_map_move_elements_loop_fwd_back - (t : Type0) (ntable : hash_map_t t) (slots : vec (list_t t)) (i : usize) : - Tot (result ((hash_map_t t) & (vec (list_t t)))) - (decreases (hash_map_move_elements_loop_decreases t ntable slots i)) +let rec hashMap_move_elements_loop + (t : Type0) (ntable : hashMap_t t) (slots : alloc_vec_Vec (list_t t)) + (i : usize) : + Tot (result ((hashMap_t t) & (alloc_vec_Vec (list_t t)))) + (decreases (hashMap_move_elements_loop_decreases t ntable slots i)) = - let i0 = vec_len (list_t t) slots in + let i0 = alloc_vec_Vec_len (list_t t) slots in if i < i0 then - let* l = vec_index_mut_fwd (list_t t) slots i in - let ls = mem_replace_fwd (list_t t) l ListNil in - let* ntable0 = hash_map_move_elements_from_list_fwd_back t ntable ls in + let* l = + alloc_vec_Vec_index_mut (list_t t) usize + (core_slice_index_usize_coresliceindexSliceIndexInst (list_t t)) slots + i in + let ls = core_mem_replace (list_t t) l List_Nil in + let* ntable0 = hashMap_move_elements_from_list t ntable ls in let* i1 = usize_add i 1 in - let l0 = mem_replace_back (list_t t) l ListNil in - let* slots0 = vec_index_mut_back (list_t t) slots i l0 in - hash_map_move_elements_loop_fwd_back t ntable0 slots0 i1 + let l0 = core_mem_replace_back (list_t t) l List_Nil in + let* slots0 = + alloc_vec_Vec_index_mut_back (list_t t) usize + (core_slice_index_usize_coresliceindexSliceIndexInst (list_t t)) slots + i l0 in + hashMap_move_elements_loop t ntable0 slots0 i1 else Return (ntable, slots) (** [hashmap::HashMap::{0}::move_elements]: merged forward/backward function (there is a single backward function, and the forward function returns ()) *) -let hash_map_move_elements_fwd_back - (t : Type0) (ntable : hash_map_t t) (slots : vec (list_t t)) (i : usize) : - result ((hash_map_t t) & (vec (list_t t))) +let hashMap_move_elements + (t : Type0) (ntable : hashMap_t t) (slots : alloc_vec_Vec (list_t t)) + (i : usize) : + result ((hashMap_t t) & (alloc_vec_Vec (list_t t))) = - hash_map_move_elements_loop_fwd_back t ntable slots i + hashMap_move_elements_loop t ntable slots i (** [hashmap::HashMap::{0}::try_resize]: merged forward/backward function (there is a single backward function, and the forward function returns ()) *) -let hash_map_try_resize_fwd_back - (t : Type0) (self : hash_map_t t) : result (hash_map_t t) = - let* max_usize = scalar_cast U32 Usize core_num_u32_max_c in - let capacity = vec_len (list_t t) self.hash_map_slots in +let hashMap_try_resize + (t : Type0) (self : hashMap_t t) : result (hashMap_t t) = + let* max_usize = scalar_cast U32 Usize core_u32_max in + let capacity = alloc_vec_Vec_len (list_t t) self.slots in let* n1 = usize_div max_usize 2 in - let (i, i0) = self.hash_map_max_load_factor in + let (i, i0) = self.max_load_factor in let* i1 = usize_div n1 i in if capacity <= i1 then let* i2 = usize_mul capacity 2 in - let* ntable = hash_map_new_with_capacity_fwd t i2 i i0 in - let* (ntable0, _) = - hash_map_move_elements_fwd_back t ntable self.hash_map_slots 0 in + let* ntable = hashMap_new_with_capacity t i2 i i0 in + let* (ntable0, _) = hashMap_move_elements t ntable self.slots 0 in Return - { - ntable0 - with - hash_map_num_entries = self.hash_map_num_entries; - hash_map_max_load_factor = (i, i0) + { ntable0 with num_entries = self.num_entries; max_load_factor = (i, i0) } - else Return { self with hash_map_max_load_factor = (i, i0) } + else Return { self with max_load_factor = (i, i0) } (** [hashmap::HashMap::{0}::insert]: merged forward/backward function (there is a single backward function, and the forward function returns ()) *) -let hash_map_insert_fwd_back - (t : Type0) (self : hash_map_t t) (key : usize) (value : t) : - result (hash_map_t t) +let hashMap_insert + (t : Type0) (self : hashMap_t t) (key : usize) (value : t) : + result (hashMap_t t) = - let* self0 = hash_map_insert_no_resize_fwd_back t self key value in - let* i = hash_map_len_fwd t self0 in - if i > self0.hash_map_max_load - then hash_map_try_resize_fwd_back t self0 - else Return self0 + let* self0 = hashMap_insert_no_resize t self key value in + let* i = hashMap_len t self0 in + if i > self0.max_load then hashMap_try_resize t self0 else Return self0 (** [hashmap::HashMap::{0}::contains_key_in_list]: loop 0: forward function *) -let rec hash_map_contains_key_in_list_loop_fwd +let rec hashMap_contains_key_in_list_loop (t : Type0) (key : usize) (ls : list_t t) : Tot (result bool) - (decreases (hash_map_contains_key_in_list_loop_decreases t key ls)) + (decreases (hashMap_contains_key_in_list_loop_decreases t key ls)) = begin match ls with - | ListCons ckey x tl -> + | List_Cons ckey x tl -> if ckey = key then Return true - else hash_map_contains_key_in_list_loop_fwd t key tl - | ListNil -> Return false + else hashMap_contains_key_in_list_loop t key tl + | List_Nil -> Return false end (** [hashmap::HashMap::{0}::contains_key_in_list]: forward function *) -let hash_map_contains_key_in_list_fwd +let hashMap_contains_key_in_list (t : Type0) (key : usize) (ls : list_t t) : result bool = - hash_map_contains_key_in_list_loop_fwd t key ls + hashMap_contains_key_in_list_loop t key ls (** [hashmap::HashMap::{0}::contains_key]: forward function *) -let hash_map_contains_key_fwd - (t : Type0) (self : hash_map_t t) (key : usize) : result bool = - let* hash = hash_key_fwd key in - let i = vec_len (list_t t) self.hash_map_slots in +let hashMap_contains_key + (t : Type0) (self : hashMap_t t) (key : usize) : result bool = + let* hash = hash_key key in + let i = alloc_vec_Vec_len (list_t t) self.slots in let* hash_mod = usize_rem hash i in - let* l = vec_index_fwd (list_t t) self.hash_map_slots hash_mod in - hash_map_contains_key_in_list_fwd t key l + let* l = + alloc_vec_Vec_index (list_t t) usize + (core_slice_index_usize_coresliceindexSliceIndexInst (list_t t)) + self.slots hash_mod in + hashMap_contains_key_in_list t key l (** [hashmap::HashMap::{0}::get_in_list]: loop 0: forward function *) -let rec hash_map_get_in_list_loop_fwd +let rec hashMap_get_in_list_loop (t : Type0) (key : usize) (ls : list_t t) : - Tot (result t) (decreases (hash_map_get_in_list_loop_decreases t key ls)) + Tot (result t) (decreases (hashMap_get_in_list_loop_decreases t key ls)) = begin match ls with - | ListCons ckey cvalue tl -> - if ckey = key - then Return cvalue - else hash_map_get_in_list_loop_fwd t key tl - | ListNil -> Fail Failure + | List_Cons ckey cvalue tl -> + if ckey = key then Return cvalue else hashMap_get_in_list_loop t key tl + | List_Nil -> Fail Failure end (** [hashmap::HashMap::{0}::get_in_list]: forward function *) -let hash_map_get_in_list_fwd - (t : Type0) (key : usize) (ls : list_t t) : result t = - hash_map_get_in_list_loop_fwd t key ls +let hashMap_get_in_list (t : Type0) (key : usize) (ls : list_t t) : result t = + hashMap_get_in_list_loop t key ls (** [hashmap::HashMap::{0}::get]: forward function *) -let hash_map_get_fwd - (t : Type0) (self : hash_map_t t) (key : usize) : result t = - let* hash = hash_key_fwd key in - let i = vec_len (list_t t) self.hash_map_slots in +let hashMap_get (t : Type0) (self : hashMap_t t) (key : usize) : result t = + let* hash = hash_key key in + let i = alloc_vec_Vec_len (list_t t) self.slots in let* hash_mod = usize_rem hash i in - let* l = vec_index_fwd (list_t t) self.hash_map_slots hash_mod in - hash_map_get_in_list_fwd t key l + let* l = + alloc_vec_Vec_index (list_t t) usize + (core_slice_index_usize_coresliceindexSliceIndexInst (list_t t)) + self.slots hash_mod in + hashMap_get_in_list t key l (** [hashmap::HashMap::{0}::get_mut_in_list]: loop 0: forward function *) -let rec hash_map_get_mut_in_list_loop_fwd +let rec hashMap_get_mut_in_list_loop (t : Type0) (ls : list_t t) (key : usize) : - Tot (result t) (decreases (hash_map_get_mut_in_list_loop_decreases t ls key)) + Tot (result t) (decreases (hashMap_get_mut_in_list_loop_decreases t ls key)) = begin match ls with - | ListCons ckey cvalue tl -> - if ckey = key - then Return cvalue - else hash_map_get_mut_in_list_loop_fwd t tl key - | ListNil -> Fail Failure + | List_Cons ckey cvalue tl -> + if ckey = key then Return cvalue else hashMap_get_mut_in_list_loop t tl key + | List_Nil -> Fail Failure end (** [hashmap::HashMap::{0}::get_mut_in_list]: forward function *) -let hash_map_get_mut_in_list_fwd +let hashMap_get_mut_in_list (t : Type0) (ls : list_t t) (key : usize) : result t = - hash_map_get_mut_in_list_loop_fwd t ls key + hashMap_get_mut_in_list_loop t ls key (** [hashmap::HashMap::{0}::get_mut_in_list]: loop 0: backward function 0 *) -let rec hash_map_get_mut_in_list_loop_back +let rec hashMap_get_mut_in_list_loop_back (t : Type0) (ls : list_t t) (key : usize) (ret : t) : Tot (result (list_t t)) - (decreases (hash_map_get_mut_in_list_loop_decreases t ls key)) + (decreases (hashMap_get_mut_in_list_loop_decreases t ls key)) = begin match ls with - | ListCons ckey cvalue tl -> + | List_Cons ckey cvalue tl -> if ckey = key - then Return (ListCons ckey ret tl) + then Return (List_Cons ckey ret tl) else - let* tl0 = hash_map_get_mut_in_list_loop_back t tl key ret in - Return (ListCons ckey cvalue tl0) - | ListNil -> Fail Failure + let* tl0 = hashMap_get_mut_in_list_loop_back t tl key ret in + Return (List_Cons ckey cvalue tl0) + | List_Nil -> Fail Failure end (** [hashmap::HashMap::{0}::get_mut_in_list]: backward function 0 *) -let hash_map_get_mut_in_list_back +let hashMap_get_mut_in_list_back (t : Type0) (ls : list_t t) (key : usize) (ret : t) : result (list_t t) = - hash_map_get_mut_in_list_loop_back t ls key ret + hashMap_get_mut_in_list_loop_back t ls key ret (** [hashmap::HashMap::{0}::get_mut]: forward function *) -let hash_map_get_mut_fwd - (t : Type0) (self : hash_map_t t) (key : usize) : result t = - let* hash = hash_key_fwd key in - let i = vec_len (list_t t) self.hash_map_slots in +let hashMap_get_mut (t : Type0) (self : hashMap_t t) (key : usize) : result t = + let* hash = hash_key key in + let i = alloc_vec_Vec_len (list_t t) self.slots in let* hash_mod = usize_rem hash i in - let* l = vec_index_mut_fwd (list_t t) self.hash_map_slots hash_mod in - hash_map_get_mut_in_list_fwd t l key + let* l = + alloc_vec_Vec_index_mut (list_t t) usize + (core_slice_index_usize_coresliceindexSliceIndexInst (list_t t)) + self.slots hash_mod in + hashMap_get_mut_in_list t l key (** [hashmap::HashMap::{0}::get_mut]: backward function 0 *) -let hash_map_get_mut_back - (t : Type0) (self : hash_map_t t) (key : usize) (ret : t) : - result (hash_map_t t) +let hashMap_get_mut_back + (t : Type0) (self : hashMap_t t) (key : usize) (ret : t) : + result (hashMap_t t) = - let* hash = hash_key_fwd key in - let i = vec_len (list_t t) self.hash_map_slots in + let* hash = hash_key key in + let i = alloc_vec_Vec_len (list_t t) self.slots in let* hash_mod = usize_rem hash i in - let* l = vec_index_mut_fwd (list_t t) self.hash_map_slots hash_mod in - let* l0 = hash_map_get_mut_in_list_back t l key ret in - let* v = vec_index_mut_back (list_t t) self.hash_map_slots hash_mod l0 in - Return { self with hash_map_slots = v } + let* l = + alloc_vec_Vec_index_mut (list_t t) usize + (core_slice_index_usize_coresliceindexSliceIndexInst (list_t t)) + self.slots hash_mod in + let* l0 = hashMap_get_mut_in_list_back t l key ret in + let* v = + alloc_vec_Vec_index_mut_back (list_t t) usize + (core_slice_index_usize_coresliceindexSliceIndexInst (list_t t)) + self.slots hash_mod l0 in + Return { self with slots = v } (** [hashmap::HashMap::{0}::remove_from_list]: loop 0: forward function *) -let rec hash_map_remove_from_list_loop_fwd +let rec hashMap_remove_from_list_loop (t : Type0) (key : usize) (ls : list_t t) : Tot (result (option t)) - (decreases (hash_map_remove_from_list_loop_decreases t key ls)) + (decreases (hashMap_remove_from_list_loop_decreases t key ls)) = begin match ls with - | ListCons ckey x tl -> + | List_Cons ckey x tl -> if ckey = key then - let mv_ls = mem_replace_fwd (list_t t) (ListCons ckey x tl) ListNil in + let mv_ls = core_mem_replace (list_t t) (List_Cons ckey x tl) List_Nil in begin match mv_ls with - | ListCons i cvalue tl0 -> Return (Some cvalue) - | ListNil -> Fail Failure + | List_Cons i cvalue tl0 -> Return (Some cvalue) + | List_Nil -> Fail Failure end - else hash_map_remove_from_list_loop_fwd t key tl - | ListNil -> Return None + else hashMap_remove_from_list_loop t key tl + | List_Nil -> Return None end (** [hashmap::HashMap::{0}::remove_from_list]: forward function *) -let hash_map_remove_from_list_fwd +let hashMap_remove_from_list (t : Type0) (key : usize) (ls : list_t t) : result (option t) = - hash_map_remove_from_list_loop_fwd t key ls + hashMap_remove_from_list_loop t key ls (** [hashmap::HashMap::{0}::remove_from_list]: loop 0: backward function 1 *) -let rec hash_map_remove_from_list_loop_back +let rec hashMap_remove_from_list_loop_back (t : Type0) (key : usize) (ls : list_t t) : Tot (result (list_t t)) - (decreases (hash_map_remove_from_list_loop_decreases t key ls)) + (decreases (hashMap_remove_from_list_loop_decreases t key ls)) = begin match ls with - | ListCons ckey x tl -> + | List_Cons ckey x tl -> if ckey = key then - let mv_ls = mem_replace_fwd (list_t t) (ListCons ckey x tl) ListNil in + let mv_ls = core_mem_replace (list_t t) (List_Cons ckey x tl) List_Nil in begin match mv_ls with - | ListCons i cvalue tl0 -> Return tl0 - | ListNil -> Fail Failure + | List_Cons i cvalue tl0 -> Return tl0 + | List_Nil -> Fail Failure end else - let* tl0 = hash_map_remove_from_list_loop_back t key tl in - Return (ListCons ckey x tl0) - | ListNil -> Return ListNil + let* tl0 = hashMap_remove_from_list_loop_back t key tl in + Return (List_Cons ckey x tl0) + | List_Nil -> Return List_Nil end (** [hashmap::HashMap::{0}::remove_from_list]: backward function 1 *) -let hash_map_remove_from_list_back +let hashMap_remove_from_list_back (t : Type0) (key : usize) (ls : list_t t) : result (list_t t) = - hash_map_remove_from_list_loop_back t key ls + hashMap_remove_from_list_loop_back t key ls (** [hashmap::HashMap::{0}::remove]: forward function *) -let hash_map_remove_fwd - (t : Type0) (self : hash_map_t t) (key : usize) : result (option t) = - let* hash = hash_key_fwd key in - let i = vec_len (list_t t) self.hash_map_slots in +let hashMap_remove + (t : Type0) (self : hashMap_t t) (key : usize) : result (option t) = + let* hash = hash_key key in + let i = alloc_vec_Vec_len (list_t t) self.slots in let* hash_mod = usize_rem hash i in - let* l = vec_index_mut_fwd (list_t t) self.hash_map_slots hash_mod in - let* x = hash_map_remove_from_list_fwd t key l in + let* l = + alloc_vec_Vec_index_mut (list_t t) usize + (core_slice_index_usize_coresliceindexSliceIndexInst (list_t t)) + self.slots hash_mod in + let* x = hashMap_remove_from_list t key l in begin match x with | None -> Return None - | Some x0 -> - let* _ = usize_sub self.hash_map_num_entries 1 in Return (Some x0) + | Some x0 -> let* _ = usize_sub self.num_entries 1 in Return (Some x0) end (** [hashmap::HashMap::{0}::remove]: backward function 0 *) -let hash_map_remove_back - (t : Type0) (self : hash_map_t t) (key : usize) : result (hash_map_t t) = - let* hash = hash_key_fwd key in - let i = vec_len (list_t t) self.hash_map_slots in +let hashMap_remove_back + (t : Type0) (self : hashMap_t t) (key : usize) : result (hashMap_t t) = + let* hash = hash_key key in + let i = alloc_vec_Vec_len (list_t t) self.slots in let* hash_mod = usize_rem hash i in - let* l = vec_index_mut_fwd (list_t t) self.hash_map_slots hash_mod in - let* x = hash_map_remove_from_list_fwd t key l in + let* l = + alloc_vec_Vec_index_mut (list_t t) usize + (core_slice_index_usize_coresliceindexSliceIndexInst (list_t t)) + self.slots hash_mod in + let* x = hashMap_remove_from_list t key l in begin match x with | None -> - let* l0 = hash_map_remove_from_list_back t key l in - let* v = vec_index_mut_back (list_t t) self.hash_map_slots hash_mod l0 in - Return { self with hash_map_slots = v } + let* l0 = hashMap_remove_from_list_back t key l in + let* v = + alloc_vec_Vec_index_mut_back (list_t t) usize + (core_slice_index_usize_coresliceindexSliceIndexInst (list_t t)) + self.slots hash_mod l0 in + Return { self with slots = v } | Some x0 -> - let* i0 = usize_sub self.hash_map_num_entries 1 in - let* l0 = hash_map_remove_from_list_back t key l in - let* v = vec_index_mut_back (list_t t) self.hash_map_slots hash_mod l0 in - Return { self with hash_map_num_entries = i0; hash_map_slots = v } + let* i0 = usize_sub self.num_entries 1 in + let* l0 = hashMap_remove_from_list_back t key l in + let* v = + alloc_vec_Vec_index_mut_back (list_t t) usize + (core_slice_index_usize_coresliceindexSliceIndexInst (list_t t)) + self.slots hash_mod l0 in + Return { self with num_entries = i0; slots = v } end (** [hashmap::test1]: forward function *) -let test1_fwd : result unit = - let* hm = hash_map_new_fwd u64 in - let* hm0 = hash_map_insert_fwd_back u64 hm 0 42 in - let* hm1 = hash_map_insert_fwd_back u64 hm0 128 18 in - let* hm2 = hash_map_insert_fwd_back u64 hm1 1024 138 in - let* hm3 = hash_map_insert_fwd_back u64 hm2 1056 256 in - let* i = hash_map_get_fwd u64 hm3 128 in +let test1 : result unit = + let* hm = hashMap_new u64 in + let* hm0 = hashMap_insert u64 hm 0 42 in + let* hm1 = hashMap_insert u64 hm0 128 18 in + let* hm2 = hashMap_insert u64 hm1 1024 138 in + let* hm3 = hashMap_insert u64 hm2 1056 256 in + let* i = hashMap_get u64 hm3 128 in if not (i = 18) then Fail Failure else - let* hm4 = hash_map_get_mut_back u64 hm3 1024 56 in - let* i0 = hash_map_get_fwd u64 hm4 1024 in + let* hm4 = hashMap_get_mut_back u64 hm3 1024 56 in + let* i0 = hashMap_get u64 hm4 1024 in if not (i0 = 56) then Fail Failure else - let* x = hash_map_remove_fwd u64 hm4 1024 in + let* x = hashMap_remove u64 hm4 1024 in begin match x with | None -> Fail Failure | Some x0 -> if not (x0 = 56) then Fail Failure else - let* hm5 = hash_map_remove_back u64 hm4 1024 in - let* i1 = hash_map_get_fwd u64 hm5 0 in + let* hm5 = hashMap_remove_back u64 hm4 1024 in + let* i1 = hashMap_get u64 hm5 0 in if not (i1 = 42) then Fail Failure else - let* i2 = hash_map_get_fwd u64 hm5 128 in + let* i2 = hashMap_get u64 hm5 128 in if not (i2 = 18) then Fail Failure else - let* i3 = hash_map_get_fwd u64 hm5 1056 in + let* i3 = hashMap_get u64 hm5 1056 in if not (i3 = 256) then Fail Failure else Return () end -(** Unit test for [hashmap::test1] *) -let _ = assert_norm (test1_fwd = Return ()) - diff --git a/tests/fstar/hashmap/Hashmap.Properties.fst b/tests/fstar/hashmap/Hashmap.Properties.fst index 49d96cd5..def520f0 100644 --- a/tests/fstar/hashmap/Hashmap.Properties.fst +++ b/tests/fstar/hashmap/Hashmap.Properties.fst @@ -272,7 +272,7 @@ type pos_usize = x:usize{x > 0} type binding (t : Type0) = key & t -type slots_t (t : Type0) = vec (list_t t) +type slots_t (t : Type0) = alloc_vec_Vec (list_t t) /// We represent hash maps as associative lists type assoc_list (t : Type0) = list (binding t) @@ -280,8 +280,8 @@ type assoc_list (t : Type0) = list (binding t) /// Representation function for [list_t] let rec list_t_v (#t : Type0) (ls : list_t t) : assoc_list t = match ls with - | ListNil -> [] - | ListCons k v tl -> (k,v) :: list_t_v tl + | List_Nil -> [] + | List_Cons k v tl -> (k,v) :: list_t_v tl let list_t_len (#t : Type0) (ls : list_t t) : nat = length (list_t_v ls) let list_t_index (#t : Type0) (ls : list_t t) (i : nat{i < list_t_len ls}) : binding t = @@ -305,30 +305,30 @@ let slots_t_al_v (#t : Type0) (slots : slots_t t) : assoc_list t = /// list per slot). This is the representation we use most, internally. Note that /// we later introduce a [map_s] representation, which is the one used in the /// lemmas shown to the user. -type hash_map_s t = list (slot_s t) +type hashMap_s t = list (slot_s t) // TODO: why not always have the condition on the length? // 'nes': "non-empty slots" -type hash_map_s_nes (t : Type0) : Type0 = - hm:hash_map_s t{is_pos_usize (length hm)} +type hashMap_s_nes (t : Type0) : Type0 = + hm:hashMap_s t{is_pos_usize (length hm)} -/// Representation function for [hash_map_t] as a list of slots -let hash_map_t_v (#t : Type0) (hm : hash_map_t t) : hash_map_s t = - map list_t_v hm.hash_map_slots +/// Representation function for [hashMap_t] as a list of slots +let hashMap_t_v (#t : Type0) (hm : hashMap_t t) : hashMap_s t = + map list_t_v hm.slots -/// Representation function for [hash_map_t] as an associative list -let hash_map_t_al_v (#t : Type0) (hm : hash_map_t t) : assoc_list t = - flatten (hash_map_t_v hm) +/// Representation function for [hashMap_t] as an associative list +let hashMap_t_al_v (#t : Type0) (hm : hashMap_t t) : assoc_list t = + flatten (hashMap_t_v hm) // 'nes': "non-empty slots" -type hash_map_t_nes (t : Type0) : Type0 = - hm:hash_map_t t{is_pos_usize (length hm.hash_map_slots)} +type hashMap_t_nes (t : Type0) : Type0 = + hm:hashMap_t t{is_pos_usize (length hm.slots)} -let hash_key (k : key) : hash = - Return?.v (hash_key_fwd k) +let hash_key_s (k : key) : hash = + Return?.v (hash_key k) let hash_mod_key (k : key) (len : usize{len > 0}) : hash = - (hash_key k) % len + (hash_key_s k) % len let not_same_key (#t : Type0) (k : key) (b : binding t) : bool = fst b <> k let same_key (#t : Type0) (k : key) (b : binding t) : bool = fst b = k @@ -339,8 +339,8 @@ let same_hash_mod_key (#t : Type0) (len : usize{len > 0}) (h : nat) (b : binding let binding_neq (#t : Type0) (b0 b1 : binding t) : bool = fst b0 <> fst b1 -let hash_map_t_len_s (#t : Type0) (hm : hash_map_t t) : nat = - hm.hash_map_num_entries +let hashMap_t_len_s (#t : Type0) (hm : hashMap_t t) : nat = + hm.num_entries let assoc_list_find (#t : Type0) (k : key) (slot : assoc_list t) : option t = match find (same_key k) slot with @@ -354,26 +354,26 @@ let slot_t_find_s (#t : Type0) (k : key) (slot : list_t t) : option t = slot_s_find k (slot_t_v slot) // This is a simpler version of the "find" function, which captures the essence -// of what happens and operates on [hash_map_s]. -let hash_map_s_find - (#t : Type0) (hm : hash_map_s_nes t) +// of what happens and operates on [hashMap_s]. +let hashMap_s_find + (#t : Type0) (hm : hashMap_s_nes t) (k : key) : option t = let i = hash_mod_key k (length hm) in let slot = index hm i in slot_s_find k slot -let hash_map_s_len - (#t : Type0) (hm : hash_map_s t) : +let hashMap_s_len + (#t : Type0) (hm : hashMap_s t) : nat = length (flatten hm) -// Same as above, but operates on [hash_map_t] +// Same as above, but operates on [hashMap_t] // Note that we don't reuse the above function on purpose: converting to a -// [hash_map_s] then looking up an element is not the same as what we +// [hashMap_s] then looking up an element is not the same as what we // wrote below. -let hash_map_t_find_s - (#t : Type0) (hm : hash_map_t t{length hm.hash_map_slots > 0}) (k : key) : option t = - let slots = hm.hash_map_slots in +let hashMap_t_find_s + (#t : Type0) (hm : hashMap_t t{length hm.slots > 0}) (k : key) : option t = + let slots = hm.slots in let i = hash_mod_key k (length slots) in let slot = index slots i in slot_t_find_s k slot @@ -404,74 +404,74 @@ let slots_t_inv (#t : Type0) (slots : slots_t t{length slots <= usize_max}) : Ty {:pattern index slots i} slot_t_inv (length slots) i (index slots i) -let hash_map_s_inv (#t : Type0) (hm : hash_map_s t) : Type0 = +let hashMap_s_inv (#t : Type0) (hm : hashMap_s t) : Type0 = length hm <= usize_max /\ length hm > 0 /\ slots_s_inv hm /// Base invariant for the hashmap (the complete invariant can be temporarily /// broken between the moment we inserted an element and the moment we resize) -let hash_map_t_base_inv (#t : Type0) (hm : hash_map_t t) : Type0 = - let al = hash_map_t_al_v hm in +let hashMap_t_base_inv (#t : Type0) (hm : hashMap_t t) : Type0 = + let al = hashMap_t_al_v hm in // [num_entries] correctly tracks the number of entries in the table // Note that it gives us that the length of the slots array is <= usize_max: // [> length <= usize_max - // (because hash_map_num_entries has type `usize`) - hm.hash_map_num_entries = length al /\ + // (because hashMap_num_entries has type `usize`) + hm.num_entries = length al /\ // Slots invariant - slots_t_inv hm.hash_map_slots /\ + slots_t_inv hm.slots /\ // The capacity must be > 0 (otherwise we can't resize, because we // multiply the capacity by two!) - length hm.hash_map_slots > 0 /\ + length hm.slots > 0 /\ // Load computation begin - let capacity = length hm.hash_map_slots in - let (dividend, divisor) = hm.hash_map_max_load_factor in + let capacity = length hm.slots in + let (dividend, divisor) = hm.max_load_factor in 0 < dividend /\ dividend < divisor /\ capacity * dividend >= divisor /\ - hm.hash_map_max_load = (capacity * dividend) / divisor + hm.max_load = (capacity * dividend) / divisor end /// We often need to frame some values -let hash_map_t_same_params (#t : Type0) (hm0 hm1 : hash_map_t t) : Type0 = - length hm0.hash_map_slots = length hm1.hash_map_slots /\ - hm0.hash_map_max_load = hm1.hash_map_max_load /\ - hm0.hash_map_max_load_factor = hm1.hash_map_max_load_factor +let hashMap_t_same_params (#t : Type0) (hm0 hm1 : hashMap_t t) : Type0 = + length hm0.slots = length hm1.slots /\ + hm0.max_load = hm1.max_load /\ + hm0.max_load_factor = hm1.max_load_factor /// The following invariants, etc. are meant to be revealed to the user through /// the .fsti. /// Invariant for the hashmap -let hash_map_t_inv (#t : Type0) (hm : hash_map_t t) : Type0 = +let hashMap_t_inv (#t : Type0) (hm : hashMap_t t) : Type0 = // Base invariant - hash_map_t_base_inv hm /\ + hashMap_t_base_inv hm /\ // The hash map is either: not overloaded, or we can't resize it begin - let (dividend, divisor) = hm.hash_map_max_load_factor in - hm.hash_map_num_entries <= hm.hash_map_max_load - || length hm.hash_map_slots * 2 * dividend > usize_max + let (dividend, divisor) = hm.max_load_factor in + hm.num_entries <= hm.max_load + || length hm.slots * 2 * dividend > usize_max end (*** .fsti *) /// We reveal slightly different version of the above functions to the user -let len_s (#t : Type0) (hm : hash_map_t t) : nat = hash_map_t_len_s hm +let len_s (#t : Type0) (hm : hashMap_t t) : nat = hashMap_t_len_s hm -/// This version doesn't take any precondition (contrary to [hash_map_t_find_s]) -let find_s (#t : Type0) (hm : hash_map_t t) (k : key) : option t = - if length hm.hash_map_slots = 0 then None - else hash_map_t_find_s hm k +/// This version doesn't take any precondition (contrary to [hashMap_t_find_s]) +let find_s (#t : Type0) (hm : hashMap_t t) (k : key) : option t = + if length hm.slots = 0 then None + else hashMap_t_find_s hm k (*** Overloading *) -let hash_map_not_overloaded_lem #t hm = () +let hashMap_not_overloaded_lem #t hm = () (*** allocate_slots *) /// Auxiliary lemma val slots_t_all_nil_inv_lem - (#t : Type0) (slots : vec (list_t t){length slots <= usize_max}) : - Lemma (requires (forall (i:nat{i < length slots}). index slots i == ListNil)) + (#t : Type0) (slots : alloc_vec_Vec (list_t t){length slots <= usize_max}) : + Lemma (requires (forall (i:nat{i < length slots}). index slots i == List_Nil)) (ensures (slots_t_inv slots)) #push-options "--fuel 1" @@ -479,8 +479,8 @@ let slots_t_all_nil_inv_lem #t slots = () #pop-options val slots_t_al_v_all_nil_is_empty_lem - (#t : Type0) (slots : vec (list_t t)) : - Lemma (requires (forall (i:nat{i < length slots}). index slots i == ListNil)) + (#t : Type0) (slots : alloc_vec_Vec (list_t t)) : + Lemma (requires (forall (i:nat{i < length slots}). index slots i == List_Nil)) (ensures (slots_t_al_v slots == [])) #push-options "--fuel 1" @@ -492,44 +492,44 @@ let rec slots_t_al_v_all_nil_is_empty_lem #t slots = slots_t_al_v_all_nil_is_empty_lem #t slots'; assert(slots_t_al_v slots == list_t_v s @ slots_t_al_v slots'); assert(slots_t_al_v slots == list_t_v s); - assert(index slots 0 == ListNil) + assert(index slots 0 == List_Nil) #pop-options /// [allocate_slots] -val hash_map_allocate_slots_fwd_lem - (t : Type0) (slots : vec (list_t t)) (n : usize) : +val hashMap_allocate_slots_lem + (t : Type0) (slots : alloc_vec_Vec (list_t t)) (n : usize) : Lemma (requires (length slots + n <= usize_max)) (ensures ( - match hash_map_allocate_slots_fwd t slots n with + match hashMap_allocate_slots t slots n with | Fail _ -> False | Return slots' -> length slots' = length slots + n /\ // We leave the already allocated slots unchanged (forall (i:nat{i < length slots}). index slots' i == index slots i) /\ // We allocate n additional empty slots - (forall (i:nat{length slots <= i /\ i < length slots'}). index slots' i == ListNil))) - (decreases (hash_map_allocate_slots_loop_decreases t slots n)) + (forall (i:nat{length slots <= i /\ i < length slots'}). index slots' i == List_Nil))) + (decreases (hashMap_allocate_slots_loop_decreases t slots n)) #push-options "--fuel 1" -let rec hash_map_allocate_slots_fwd_lem t slots n = +let rec hashMap_allocate_slots_lem t slots n = begin match n with | 0 -> () | _ -> - begin match vec_push_back (list_t t) slots ListNil with + begin match alloc_vec_Vec_push (list_t t) slots List_Nil with | Fail _ -> () | Return slots1 -> begin match usize_sub n 1 with | Fail _ -> () | Return i -> - hash_map_allocate_slots_fwd_lem t slots1 i; - begin match hash_map_allocate_slots_fwd t slots1 i with + hashMap_allocate_slots_lem t slots1 i; + begin match hashMap_allocate_slots t slots1 i with | Fail _ -> () | Return slots2 -> assert(length slots1 = length slots + 1); - assert(slots1 == slots @ [ListNil]); // Triggers patterns - assert(index slots1 (length slots) == index [ListNil] 0); // Triggers patterns - assert(index slots1 (length slots) == ListNil) + assert(slots1 == slots @ [List_Nil]); // Triggers patterns + assert(index slots1 (length slots) == index [List_Nil] 0); // Triggers patterns + assert(index slots1 (length slots) == List_Nil) end end end @@ -538,7 +538,7 @@ let rec hash_map_allocate_slots_fwd_lem t slots n = (*** new_with_capacity *) /// Under proper conditions, [new_with_capacity] doesn't fail and returns an empty hash map. -val hash_map_new_with_capacity_fwd_lem +val hashMap_new_with_capacity_lem (t : Type0) (capacity : usize) (max_load_dividend : usize) (max_load_divisor : usize) : Lemma @@ -549,31 +549,31 @@ val hash_map_new_with_capacity_fwd_lem capacity * max_load_dividend >= max_load_divisor /\ capacity * max_load_dividend <= usize_max)) (ensures ( - match hash_map_new_with_capacity_fwd t capacity max_load_dividend max_load_divisor with + match hashMap_new_with_capacity t capacity max_load_dividend max_load_divisor with | Fail _ -> False | Return hm -> // The hash map invariant is satisfied - hash_map_t_inv hm /\ + hashMap_t_inv hm /\ // The parameters are correct - hm.hash_map_max_load_factor = (max_load_dividend, max_load_divisor) /\ - hm.hash_map_max_load = (capacity * max_load_dividend) / max_load_divisor /\ + hm.max_load_factor = (max_load_dividend, max_load_divisor) /\ + hm.max_load = (capacity * max_load_dividend) / max_load_divisor /\ // The hash map has the specified capacity - we need to reveal this - // otherwise the pre of [hash_map_t_find_s] is not satisfied. - length hm.hash_map_slots = capacity /\ + // otherwise the pre of [hashMap_t_find_s] is not satisfied. + length hm.slots = capacity /\ // The hash map has 0 values - hash_map_t_len_s hm = 0 /\ + hashMap_t_len_s hm = 0 /\ // It contains no bindings - (forall k. hash_map_t_find_s hm k == None) /\ + (forall k. hashMap_t_find_s hm k == None) /\ // We need this low-level property for the invariant - (forall(i:nat{i < length hm.hash_map_slots}). index hm.hash_map_slots i == ListNil))) + (forall(i:nat{i < length hm.slots}). index hm.slots i == List_Nil))) #push-options "--z3rlimit 50 --fuel 1" -let hash_map_new_with_capacity_fwd_lem (t : Type0) (capacity : usize) +let hashMap_new_with_capacity_lem (t : Type0) (capacity : usize) (max_load_dividend : usize) (max_load_divisor : usize) = - let v = vec_new (list_t t) in + let v = alloc_vec_Vec_new (list_t t) in assert(length v = 0); - hash_map_allocate_slots_fwd_lem t v capacity; - begin match hash_map_allocate_slots_fwd t v capacity with + hashMap_allocate_slots_lem t v capacity; + begin match hashMap_allocate_slots t v capacity with | Fail _ -> assert(False) | Return v0 -> begin match usize_mul capacity max_load_dividend with @@ -582,9 +582,9 @@ let hash_map_new_with_capacity_fwd_lem (t : Type0) (capacity : usize) begin match usize_div i max_load_divisor with | Fail _ -> assert(False) | Return i0 -> - let hm = Mkhash_map_t 0 (max_load_dividend, max_load_divisor) i0 v0 in + let hm = MkhashMap_t 0 (max_load_dividend, max_load_divisor) i0 v0 in slots_t_all_nil_inv_lem v0; - slots_t_al_v_all_nil_is_empty_lem hm.hash_map_slots + slots_t_al_v_all_nil_is_empty_lem hm.slots end end end @@ -593,65 +593,65 @@ let hash_map_new_with_capacity_fwd_lem (t : Type0) (capacity : usize) (*** new *) /// [new] doesn't fail and returns an empty hash map -val hash_map_new_fwd_lem_aux (t : Type0) : +val hashMap_new_lem_aux (t : Type0) : Lemma (ensures ( - match hash_map_new_fwd t with + match hashMap_new t with | Fail _ -> False | Return hm -> // The hash map invariant is satisfied - hash_map_t_inv hm /\ + hashMap_t_inv hm /\ // The hash map has 0 values - hash_map_t_len_s hm = 0 /\ + hashMap_t_len_s hm = 0 /\ // It contains no bindings - (forall k. hash_map_t_find_s hm k == None))) + (forall k. hashMap_t_find_s hm k == None))) #push-options "--fuel 1" -let hash_map_new_fwd_lem_aux t = - hash_map_new_with_capacity_fwd_lem t 32 4 5; - match hash_map_new_with_capacity_fwd t 32 4 5 with +let hashMap_new_lem_aux t = + hashMap_new_with_capacity_lem t 32 4 5; + match hashMap_new_with_capacity t 32 4 5 with | Fail _ -> () | Return hm -> () #pop-options /// The lemma we reveal in the .fsti -let hash_map_new_fwd_lem t = hash_map_new_fwd_lem_aux t +let hashMap_new_lem t = hashMap_new_lem_aux t (*** clear *) /// [clear]: the loop doesn't fail and simply clears the slots starting at index i #push-options "--fuel 1" -let rec hash_map_clear_loop_fwd_back_lem - (t : Type0) (slots : vec (list_t t)) (i : usize) : +let rec hashMap_clear_loop_lem + (t : Type0) (slots : alloc_vec_Vec (list_t t)) (i : usize) : Lemma (ensures ( - match hash_map_clear_loop_fwd_back t slots i with + match hashMap_clear_loop t slots i with | Fail _ -> False | Return slots' -> // The length is preserved length slots' == length slots /\ // The slots before i are left unchanged (forall (j:nat{j < i /\ j < length slots}). index slots' j == index slots j) /\ - // The slots after i are set to ListNil - (forall (j:nat{i <= j /\ j < length slots}). index slots' j == ListNil))) - (decreases (hash_map_clear_loop_decreases t slots i)) + // The slots after i are set to List_Nil + (forall (j:nat{i <= j /\ j < length slots}). index slots' j == List_Nil))) + (decreases (hashMap_clear_loop_decreases t slots i)) = - let i0 = vec_len (list_t t) slots in + let i0 = alloc_vec_Vec_len (list_t t) slots in let b = i < i0 in if b then - begin match vec_index_mut_back (list_t t) slots i ListNil with + begin match alloc_vec_Vec_update_usize slots i List_Nil with | Fail _ -> () | Return v -> begin match usize_add i 1 with | Fail _ -> () | Return i1 -> - hash_map_clear_loop_fwd_back_lem t v i1; - begin match hash_map_clear_loop_fwd_back t v i1 with + hashMap_clear_loop_lem t v i1; + begin match hashMap_clear_loop t v i1 with | Fail _ -> () | Return slots1 -> assert(length slots1 == length slots); - assert(forall (j:nat{i+1 <= j /\ j < length slots}). index slots1 j == ListNil); - assert(index slots1 i == ListNil) + assert(forall (j:nat{i+1 <= j /\ j < length slots}). index slots1 j == List_Nil); + assert(index slots1 i == List_Nil) end end end @@ -659,80 +659,80 @@ let rec hash_map_clear_loop_fwd_back_lem #pop-options /// [clear] doesn't fail and turns the hash map into an empty map -val hash_map_clear_fwd_back_lem_aux - (#t : Type0) (self : hash_map_t t) : +val hashMap_clear_lem_aux + (#t : Type0) (self : hashMap_t t) : Lemma - (requires (hash_map_t_base_inv self)) + (requires (hashMap_t_base_inv self)) (ensures ( - match hash_map_clear_fwd_back t self with + match hashMap_clear t self with | Fail _ -> False | Return hm -> // The hash map invariant is satisfied - hash_map_t_base_inv hm /\ + hashMap_t_base_inv hm /\ // We preserved the parameters - hash_map_t_same_params hm self /\ + hashMap_t_same_params hm self /\ // The hash map has 0 values - hash_map_t_len_s hm = 0 /\ + hashMap_t_len_s hm = 0 /\ // It contains no bindings - (forall k. hash_map_t_find_s hm k == None))) + (forall k. hashMap_t_find_s hm k == None))) // Being lazy: fuel 1 helps a lot... #push-options "--fuel 1" -let hash_map_clear_fwd_back_lem_aux #t self = - let p = self.hash_map_max_load_factor in - let i = self.hash_map_max_load in - let v = self.hash_map_slots in - hash_map_clear_loop_fwd_back_lem t v 0; - begin match hash_map_clear_loop_fwd_back t v 0 with +let hashMap_clear_lem_aux #t self = + let p = self.max_load_factor in + let i = self.max_load in + let v = self.slots in + hashMap_clear_loop_lem t v 0; + begin match hashMap_clear_loop t v 0 with | Fail _ -> () | Return slots1 -> slots_t_al_v_all_nil_is_empty_lem slots1; - let hm1 = Mkhash_map_t 0 p i slots1 in - assert(hash_map_t_base_inv hm1); - assert(hash_map_t_inv hm1) + let hm1 = MkhashMap_t 0 p i slots1 in + assert(hashMap_t_base_inv hm1); + assert(hashMap_t_inv hm1) end #pop-options -let hash_map_clear_fwd_back_lem #t self = hash_map_clear_fwd_back_lem_aux #t self +let hashMap_clear_lem #t self = hashMap_clear_lem_aux #t self (*** len *) /// [len]: we link it to a non-failing function. /// Rk.: we might want to make an analysis to not use an error monad to translate /// functions which statically can't fail. -let hash_map_len_fwd_lem #t self = () +let hashMap_len_lem #t self = () (*** insert_in_list *) (**** insert_in_list'fwd *) -/// [insert_in_list_fwd]: returns true iff the key is not in the list (functional version) -val hash_map_insert_in_list_fwd_lem +/// [insert_in_list]: returns true iff the key is not in the list (functional version) +val hashMap_insert_in_list_lem (t : Type0) (key : usize) (value : t) (ls : list_t t) : Lemma (ensures ( - match hash_map_insert_in_list_fwd t key value ls with + match hashMap_insert_in_list t key value ls with | Fail _ -> False | Return b -> b <==> (slot_t_find_s key ls == None))) - (decreases (hash_map_insert_in_list_loop_decreases t key value ls)) + (decreases (hashMap_insert_in_list_loop_decreases t key value ls)) #push-options "--fuel 1" -let rec hash_map_insert_in_list_fwd_lem t key value ls = +let rec hashMap_insert_in_list_lem t key value ls = begin match ls with - | ListCons ckey cvalue ls0 -> + | List_Cons ckey cvalue ls0 -> let b = ckey = key in if b then () else begin - hash_map_insert_in_list_fwd_lem t key value ls0; - match hash_map_insert_in_list_fwd t key value ls0 with + hashMap_insert_in_list_lem t key value ls0; + match hashMap_insert_in_list t key value ls0 with | Fail _ -> () | Return b0 -> () end - | ListNil -> + | List_Nil -> assert(list_t_v ls == []); assert_norm(find (same_key #t key) [] == None) end @@ -748,7 +748,7 @@ let rec hash_map_insert_in_list_fwd_lem t key value ls = /// We write a helper which "captures" what [insert_in_list] does. /// We then reason about this helper to prove the high-level properties we want /// (functional properties, preservation of invariants, etc.). -let hash_map_insert_in_list_s +let hashMap_insert_in_list_s (#t : Type0) (key : usize) (value : t) (ls : list (binding t)) : list (binding t) = // Check if there is already a binding for the key @@ -761,86 +761,86 @@ let hash_map_insert_in_list_s find_update (same_key key) ls (key,value) /// [insert_in_list]: if the key is not in the map, appends a new bindings (functional version) -val hash_map_insert_in_list_back_lem_append_s +val hashMap_insert_in_list_back_lem_append_s (t : Type0) (key : usize) (value : t) (ls : list_t t) : Lemma (requires ( slot_t_find_s key ls == None)) (ensures ( - match hash_map_insert_in_list_back t key value ls with + match hashMap_insert_in_list_back t key value ls with | Fail _ -> False | Return ls' -> list_t_v ls' == list_t_v ls @ [(key,value)])) - (decreases (hash_map_insert_in_list_loop_decreases t key value ls)) + (decreases (hashMap_insert_in_list_loop_decreases t key value ls)) #push-options "--fuel 1" -let rec hash_map_insert_in_list_back_lem_append_s t key value ls = +let rec hashMap_insert_in_list_back_lem_append_s t key value ls = begin match ls with - | ListCons ckey cvalue ls0 -> + | List_Cons ckey cvalue ls0 -> let b = ckey = key in if b then () else begin - hash_map_insert_in_list_back_lem_append_s t key value ls0; - match hash_map_insert_in_list_back t key value ls0 with + hashMap_insert_in_list_back_lem_append_s t key value ls0; + match hashMap_insert_in_list_back t key value ls0 with | Fail _ -> () | Return l -> () end - | ListNil -> () + | List_Nil -> () end #pop-options /// [insert_in_list]: if the key is in the map, we update the binding (functional version) -val hash_map_insert_in_list_back_lem_update_s +val hashMap_insert_in_list_back_lem_update_s (t : Type0) (key : usize) (value : t) (ls : list_t t) : Lemma (requires ( Some? (find (same_key key) (list_t_v ls)))) (ensures ( - match hash_map_insert_in_list_back t key value ls with + match hashMap_insert_in_list_back t key value ls with | Fail _ -> False | Return ls' -> list_t_v ls' == find_update (same_key key) (list_t_v ls) (key,value))) - (decreases (hash_map_insert_in_list_loop_decreases t key value ls)) + (decreases (hashMap_insert_in_list_loop_decreases t key value ls)) #push-options "--fuel 1" -let rec hash_map_insert_in_list_back_lem_update_s t key value ls = +let rec hashMap_insert_in_list_back_lem_update_s t key value ls = begin match ls with - | ListCons ckey cvalue ls0 -> + | List_Cons ckey cvalue ls0 -> let b = ckey = key in if b then () else begin - hash_map_insert_in_list_back_lem_update_s t key value ls0; - match hash_map_insert_in_list_back t key value ls0 with + hashMap_insert_in_list_back_lem_update_s t key value ls0; + match hashMap_insert_in_list_back t key value ls0 with | Fail _ -> () | Return l -> () end - | ListNil -> () + | List_Nil -> () end #pop-options /// Put everything together -val hash_map_insert_in_list_back_lem_s +val hashMap_insert_in_list_back_lem_s (t : Type0) (key : usize) (value : t) (ls : list_t t) : Lemma (ensures ( - match hash_map_insert_in_list_back t key value ls with + match hashMap_insert_in_list_back t key value ls with | Fail _ -> False | Return ls' -> - list_t_v ls' == hash_map_insert_in_list_s key value (list_t_v ls))) + list_t_v ls' == hashMap_insert_in_list_s key value (list_t_v ls))) -let hash_map_insert_in_list_back_lem_s t key value ls = +let hashMap_insert_in_list_back_lem_s t key value ls = match find (same_key key) (list_t_v ls) with - | None -> hash_map_insert_in_list_back_lem_append_s t key value ls - | Some _ -> hash_map_insert_in_list_back_lem_update_s t key value ls + | None -> hashMap_insert_in_list_back_lem_append_s t key value ls + | Some _ -> hashMap_insert_in_list_back_lem_update_s t key value ls (**** Invariants of insert_in_list_s *) /// Auxiliary lemmas -/// We work on [hash_map_insert_in_list_s], the "high-level" version of [insert_in_list'back]. +/// We work on [hashMap_insert_in_list_s], the "high-level" version of [insert_in_list'back]. /// /// Note that in F* we can't have recursive proofs inside of other proofs, contrary /// to Coq, which makes it a bit cumbersome to prove auxiliary results like the @@ -893,14 +893,14 @@ let rec slot_s_inv_not_find_append_end_inv_lem t len key value ls = #pop-options /// [insert_in_list]: if the key is not in the map, appends a new bindings -val hash_map_insert_in_list_s_lem_append +val hashMap_insert_in_list_s_lem_append (t : Type0) (len : usize{len > 0}) (key : usize) (value : t) (ls : list (binding t)) : Lemma (requires ( slot_s_inv len (hash_mod_key key len) ls /\ slot_s_find key ls == None)) (ensures ( - let ls' = hash_map_insert_in_list_s key value ls in + let ls' = hashMap_insert_in_list_s key value ls in ls' == ls @ [(key,value)] /\ // The invariant is preserved slot_s_inv len (hash_mod_key key len) ls' /\ @@ -909,20 +909,20 @@ val hash_map_insert_in_list_s_lem_append // The other bindings are preserved (forall k'. k' <> key ==> slot_s_find k' ls' == slot_s_find k' ls))) -let hash_map_insert_in_list_s_lem_append t len key value ls = +let hashMap_insert_in_list_s_lem_append t len key value ls = slot_s_inv_not_find_append_end_inv_lem t len key value ls /// [insert_in_list]: if the key is not in the map, appends a new bindings (quantifiers) /// Rk.: we don't use this lemma. /// TODO: remove? -val hash_map_insert_in_list_back_lem_append +val hashMap_insert_in_list_back_lem_append (t : Type0) (len : usize{len > 0}) (key : usize) (value : t) (ls : list_t t) : Lemma (requires ( slot_t_inv len (hash_mod_key key len) ls /\ slot_t_find_s key ls == None)) (ensures ( - match hash_map_insert_in_list_back t key value ls with + match hashMap_insert_in_list_back t key value ls with | Fail _ -> False | Return ls' -> list_t_v ls' == list_t_v ls @ [(key,value)] /\ @@ -933,9 +933,9 @@ val hash_map_insert_in_list_back_lem_append // The other bindings are preserved (forall k'. k' <> key ==> slot_t_find_s k' ls' == slot_t_find_s k' ls))) -let hash_map_insert_in_list_back_lem_append t len key value ls = - hash_map_insert_in_list_back_lem_s t key value ls; - hash_map_insert_in_list_s_lem_append t len key value (list_t_v ls) +let hashMap_insert_in_list_back_lem_append t len key value ls = + hashMap_insert_in_list_back_lem_s t key value ls; + hashMap_insert_in_list_s_lem_append t len key value (list_t_v ls) (** Auxiliary lemmas: update case *) @@ -1013,14 +1013,14 @@ let rec slot_s_inv_find_append_end_inv_lem t len key value ls = #pop-options /// [insert_in_list]: if the key is in the map, update the bindings -val hash_map_insert_in_list_s_lem_update +val hashMap_insert_in_list_s_lem_update (t : Type0) (len : usize{len > 0}) (key : usize) (value : t) (ls : list (binding t)) : Lemma (requires ( slot_s_inv len (hash_mod_key key len) ls /\ Some? (slot_s_find key ls))) (ensures ( - let ls' = hash_map_insert_in_list_s key value ls in + let ls' = hashMap_insert_in_list_s key value ls in ls' == find_update (same_key key) ls (key,value) /\ // The invariant is preserved slot_s_inv len (hash_mod_key key len) ls' /\ @@ -1029,20 +1029,20 @@ val hash_map_insert_in_list_s_lem_update // The other bindings are preserved (forall k'. k' <> key ==> slot_s_find k' ls' == slot_s_find k' ls))) -let hash_map_insert_in_list_s_lem_update t len key value ls = +let hashMap_insert_in_list_s_lem_update t len key value ls = slot_s_inv_find_append_end_inv_lem t len key value ls /// [insert_in_list]: if the key is in the map, update the bindings /// TODO: not used: remove? -val hash_map_insert_in_list_back_lem_update +val hashMap_insert_in_list_back_lem_update (t : Type0) (len : usize{len > 0}) (key : usize) (value : t) (ls : list_t t) : Lemma (requires ( slot_t_inv len (hash_mod_key key len) ls /\ Some? (slot_t_find_s key ls))) (ensures ( - match hash_map_insert_in_list_back t key value ls with + match hashMap_insert_in_list_back t key value ls with | Fail _ -> False | Return ls' -> let als = list_t_v ls in @@ -1054,20 +1054,20 @@ val hash_map_insert_in_list_back_lem_update // The other bindings are preserved (forall k'. k' <> key ==> slot_t_find_s k' ls' == slot_t_find_s k' ls))) -let hash_map_insert_in_list_back_lem_update t len key value ls = - hash_map_insert_in_list_back_lem_s t key value ls; - hash_map_insert_in_list_s_lem_update t len key value (list_t_v ls) +let hashMap_insert_in_list_back_lem_update t len key value ls = + hashMap_insert_in_list_back_lem_s t key value ls; + hashMap_insert_in_list_s_lem_update t len key value (list_t_v ls) (** Final lemmas about [insert_in_list] *) /// High-level version -val hash_map_insert_in_list_s_lem +val hashMap_insert_in_list_s_lem (t : Type0) (len : usize{len > 0}) (key : usize) (value : t) (ls : list (binding t)) : Lemma (requires ( slot_s_inv len (hash_mod_key key len) ls)) (ensures ( - let ls' = hash_map_insert_in_list_s key value ls in + let ls' = hashMap_insert_in_list_s key value ls in // The invariant is preserved slot_s_inv len (hash_mod_key key len) ls' /\ // [key] maps to [value] @@ -1079,22 +1079,22 @@ val hash_map_insert_in_list_s_lem | None -> length ls' = length ls + 1 | Some _ -> length ls' = length ls))) -let hash_map_insert_in_list_s_lem t len key value ls = +let hashMap_insert_in_list_s_lem t len key value ls = match slot_s_find key ls with | None -> assert_norm(length [(key,value)] = 1); - hash_map_insert_in_list_s_lem_append t len key value ls + hashMap_insert_in_list_s_lem_append t len key value ls | Some _ -> - hash_map_insert_in_list_s_lem_update t len key value ls + hashMap_insert_in_list_s_lem_update t len key value ls /// [insert_in_list] /// TODO: not used: remove? -val hash_map_insert_in_list_back_lem +val hashMap_insert_in_list_back_lem (t : Type0) (len : usize{len > 0}) (key : usize) (value : t) (ls : list_t t) : Lemma (requires (slot_t_inv len (hash_mod_key key len) ls)) (ensures ( - match hash_map_insert_in_list_back t key value ls with + match hashMap_insert_in_list_back t key value ls with | Fail _ -> False | Return ls' -> // The invariant is preserved @@ -1111,127 +1111,127 @@ val hash_map_insert_in_list_back_lem | Some _ -> list_t_v ls' == find_update (same_key key) (list_t_v ls) (key,value) /\ list_t_len ls' = list_t_len ls))) - (decreases (hash_map_insert_in_list_loop_decreases t key value ls)) + (decreases (hashMap_insert_in_list_loop_decreases t key value ls)) -let hash_map_insert_in_list_back_lem t len key value ls = - hash_map_insert_in_list_back_lem_s t key value ls; - hash_map_insert_in_list_s_lem t len key value (list_t_v ls) +let hashMap_insert_in_list_back_lem t len key value ls = + hashMap_insert_in_list_back_lem_s t key value ls; + hashMap_insert_in_list_s_lem t len key value (list_t_v ls) (*** insert_no_resize *) (**** Refinement proof *) /// Same strategy as for [insert_in_list]: we introduce a high-level version of /// the function, and reason about it. -/// We work on [hash_map_s] (we use a higher-level view of the hash-map, but +/// We work on [hashMap_s] (we use a higher-level view of the hash-map, but /// not too high). /// A high-level version of insert, which doesn't check if the table is saturated -let hash_map_insert_no_fail_s - (#t : Type0) (hm : hash_map_s_nes t) +let hashMap_insert_no_fail_s + (#t : Type0) (hm : hashMap_s_nes t) (key : usize) (value : t) : - hash_map_s t = + hashMap_s t = let len = length hm in let i = hash_mod_key key len in let slot = index hm i in - let slot' = hash_map_insert_in_list_s key value slot in + let slot' = hashMap_insert_in_list_s key value slot in let hm' = list_update hm i slot' in hm' -// TODO: at some point I used hash_map_s_nes and it broke proofs...x -let hash_map_insert_no_resize_s - (#t : Type0) (hm : hash_map_s_nes t) +// TODO: at some point I used hashMap_s_nes and it broke proofs...x +let hashMap_insert_no_resize_s + (#t : Type0) (hm : hashMap_s_nes t) (key : usize) (value : t) : - result (hash_map_s t) = + result (hashMap_s t) = // Check if the table is saturated (too many entries, and we need to insert one) let num_entries = length (flatten hm) in - if None? (hash_map_s_find hm key) && num_entries = usize_max then Fail Failure - else Return (hash_map_insert_no_fail_s hm key value) + if None? (hashMap_s_find hm key) && num_entries = usize_max then Fail Failure + else Return (hashMap_insert_no_fail_s hm key value) -/// Prove that [hash_map_insert_no_resize_s] is refined by -/// [hash_map_insert_no_resize'fwd_back] -val hash_map_insert_no_resize_fwd_back_lem_s - (t : Type0) (self : hash_map_t t) (key : usize) (value : t) : +/// Prove that [hashMap_insert_no_resize_s] is refined by +/// [hashMap_insert_no_resize'fwd_back] +val hashMap_insert_no_resize_lem_s + (t : Type0) (self : hashMap_t t) (key : usize) (value : t) : Lemma (requires ( - hash_map_t_base_inv self /\ - hash_map_s_len (hash_map_t_v self) = hash_map_t_len_s self)) + hashMap_t_base_inv self /\ + hashMap_s_len (hashMap_t_v self) = hashMap_t_len_s self)) (ensures ( begin - match hash_map_insert_no_resize_fwd_back t self key value, - hash_map_insert_no_resize_s (hash_map_t_v self) key value + match hashMap_insert_no_resize t self key value, + hashMap_insert_no_resize_s (hashMap_t_v self) key value with | Fail _, Fail _ -> True | Return hm, Return hm_v -> - hash_map_t_base_inv hm /\ - hash_map_t_same_params hm self /\ - hash_map_t_v hm == hm_v /\ - hash_map_s_len hm_v == hash_map_t_len_s hm + hashMap_t_base_inv hm /\ + hashMap_t_same_params hm self /\ + hashMap_t_v hm == hm_v /\ + hashMap_s_len hm_v == hashMap_t_len_s hm | _ -> False end)) -let hash_map_insert_no_resize_fwd_back_lem_s t self key value = - begin match hash_key_fwd key with +let hashMap_insert_no_resize_lem_s t self key value = + begin match hash_key key with | Fail _ -> () | Return i -> - let i0 = self.hash_map_num_entries in - let p = self.hash_map_max_load_factor in - let i1 = self.hash_map_max_load in - let v = self.hash_map_slots in - let i2 = vec_len (list_t t) v in + let i0 = self.num_entries in + let p = self.max_load_factor in + let i1 = self.max_load in + let v = self.slots in + let i2 = alloc_vec_Vec_len (list_t t) v in let len = length v in begin match usize_rem i i2 with | Fail _ -> () | Return hash_mod -> - begin match vec_index_mut_fwd (list_t t) v hash_mod with + begin match alloc_vec_Vec_index_usize v hash_mod with | Fail _ -> () | Return l -> begin - // Checking that: list_t_v (index ...) == index (hash_map_t_v ...) ... - assert(list_t_v l == index (hash_map_t_v self) hash_mod); - hash_map_insert_in_list_fwd_lem t key value l; - match hash_map_insert_in_list_fwd t key value l with + // Checking that: list_t_v (index ...) == index (hashMap_t_v ...) ... + assert(list_t_v l == index (hashMap_t_v self) hash_mod); + hashMap_insert_in_list_lem t key value l; + match hashMap_insert_in_list t key value l with | Fail _ -> () | Return b -> assert(b = None? (slot_s_find key (list_t_v l))); - hash_map_insert_in_list_back_lem t len key value l; + hashMap_insert_in_list_back_lem t len key value l; if b then begin match usize_add i0 1 with | Fail _ -> () | Return i3 -> begin - match hash_map_insert_in_list_back t key value l with + match hashMap_insert_in_list_back t key value l with | Fail _ -> () | Return l0 -> - begin match vec_index_mut_back (list_t t) v hash_mod l0 with + begin match alloc_vec_Vec_update_usize v hash_mod l0 with | Fail _ -> () | Return v0 -> - let self_v = hash_map_t_v self in - let hm = Mkhash_map_t i3 p i1 v0 in - let hm_v = hash_map_t_v hm in + let self_v = hashMap_t_v self in + let hm = MkhashMap_t i3 p i1 v0 in + let hm_v = hashMap_t_v hm in 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); length_flatten_update self_v hash_mod (list_t_v l0); - assert(hash_map_s_len hm_v = hash_map_t_len_s hm) + assert(hashMap_s_len hm_v = hashMap_t_len_s hm) end end end else begin - match hash_map_insert_in_list_back t key value l with + match hashMap_insert_in_list_back t key value l with | Fail _ -> () | Return l0 -> - begin match vec_index_mut_back (list_t t) v hash_mod l0 with + begin match alloc_vec_Vec_update_usize v hash_mod l0 with | Fail _ -> () | Return v0 -> - let self_v = hash_map_t_v self in - let hm = Mkhash_map_t i0 p i1 v0 in - let hm_v = hash_map_t_v hm in + let self_v = hashMap_t_v self in + let hm = MkhashMap_t i0 p i1 v0 in + let hm_v = hashMap_t_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)); length_flatten_update self_v hash_mod (list_t_v l0); - assert(hash_map_s_len hm_v = hash_map_t_len_s hm) + assert(hashMap_s_len hm_v = hashMap_t_len_s hm) end end end @@ -1241,108 +1241,108 @@ let hash_map_insert_no_resize_fwd_back_lem_s t self key value = (**** insert_{no_fail,no_resize}: invariants *) -let hash_map_s_updated_binding - (#t : Type0) (hm : hash_map_s_nes t) - (key : usize) (opt_value : option t) (hm' : hash_map_s_nes t) : Type0 = +let hashMap_s_updated_binding + (#t : Type0) (hm : hashMap_s_nes t) + (key : usize) (opt_value : option t) (hm' : hashMap_s_nes t) : Type0 = // [key] maps to [value] - hash_map_s_find hm' key == opt_value /\ + hashMap_s_find hm' key == opt_value /\ // The other bindings are preserved - (forall k'. k' <> key ==> hash_map_s_find hm' k' == hash_map_s_find hm k') + (forall k'. k' <> key ==> hashMap_s_find hm' k' == hashMap_s_find hm k') -let insert_post (#t : Type0) (hm : hash_map_s_nes t) - (key : usize) (value : t) (hm' : hash_map_s_nes t) : Type0 = +let insert_post (#t : Type0) (hm : hashMap_s_nes t) + (key : usize) (value : t) (hm' : hashMap_s_nes t) : Type0 = // The invariant is preserved - hash_map_s_inv hm' /\ + hashMap_s_inv hm' /\ // [key] maps to [value] and the other bindings are preserved - hash_map_s_updated_binding hm key (Some value) hm' /\ + hashMap_s_updated_binding hm key (Some value) hm' /\ // The length is incremented, iff we inserted a new key - (match hash_map_s_find hm key with - | None -> hash_map_s_len hm' = hash_map_s_len hm + 1 - | Some _ -> hash_map_s_len hm' = hash_map_s_len hm) + (match hashMap_s_find hm key with + | None -> hashMap_s_len hm' = hashMap_s_len hm + 1 + | Some _ -> hashMap_s_len hm' = hashMap_s_len hm) -val hash_map_insert_no_fail_s_lem - (#t : Type0) (hm : hash_map_s_nes t) +val hashMap_insert_no_fail_s_lem + (#t : Type0) (hm : hashMap_s_nes t) (key : usize) (value : t) : Lemma - (requires (hash_map_s_inv hm)) + (requires (hashMap_s_inv hm)) (ensures ( - let hm' = hash_map_insert_no_fail_s hm key value in + let hm' = hashMap_insert_no_fail_s hm key value in insert_post hm key value hm')) -let hash_map_insert_no_fail_s_lem #t hm key value = +let hashMap_insert_no_fail_s_lem #t hm key value = let len = length hm in let i = hash_mod_key key len in let slot = index hm i in - hash_map_insert_in_list_s_lem t len key value slot; - let slot' = hash_map_insert_in_list_s key value slot in + hashMap_insert_in_list_s_lem t len key value slot; + let slot' = hashMap_insert_in_list_s key value slot in length_flatten_update hm i slot' -val hash_map_insert_no_resize_s_lem - (#t : Type0) (hm : hash_map_s_nes t) +val hashMap_insert_no_resize_s_lem + (#t : Type0) (hm : hashMap_s_nes t) (key : usize) (value : t) : Lemma - (requires (hash_map_s_inv hm)) + (requires (hashMap_s_inv hm)) (ensures ( - match hash_map_insert_no_resize_s hm key value with + match hashMap_insert_no_resize_s hm key value with | Fail _ -> // Can fail only if we need to create a new binding in // an already saturated map - hash_map_s_len hm = usize_max /\ - None? (hash_map_s_find hm key) + hashMap_s_len hm = usize_max /\ + None? (hashMap_s_find hm key) | Return hm' -> insert_post hm key value hm')) -let hash_map_insert_no_resize_s_lem #t hm key value = +let hashMap_insert_no_resize_s_lem #t hm key value = let num_entries = length (flatten hm) in - if None? (hash_map_s_find hm key) && num_entries = usize_max then () - else hash_map_insert_no_fail_s_lem hm key value + if None? (hashMap_s_find hm key) && num_entries = usize_max then () + else hashMap_insert_no_fail_s_lem hm key value (**** find after insert *) /// Lemmas about what happens if we call [find] after an insertion -val hash_map_insert_no_resize_s_get_same_lem - (#t : Type0) (hm : hash_map_s t) +val hashMap_insert_no_resize_s_get_same_lem + (#t : Type0) (hm : hashMap_s t) (key : usize) (value : t) : - Lemma (requires (hash_map_s_inv hm)) + Lemma (requires (hashMap_s_inv hm)) (ensures ( - match hash_map_insert_no_resize_s hm key value with + match hashMap_insert_no_resize_s hm key value with | Fail _ -> True | Return hm' -> - hash_map_s_find hm' key == Some value)) + hashMap_s_find hm' key == Some value)) -let hash_map_insert_no_resize_s_get_same_lem #t hm key value = +let hashMap_insert_no_resize_s_get_same_lem #t hm key value = let num_entries = length (flatten hm) in - if None? (hash_map_s_find hm key) && num_entries = usize_max then () + if None? (hashMap_s_find hm key) && num_entries = usize_max then () else begin - let hm' = Return?.v (hash_map_insert_no_resize_s hm key value) in + let hm' = Return?.v (hashMap_insert_no_resize_s hm key value) in let len = length hm in let i = hash_mod_key key len in let slot = index hm i in - hash_map_insert_in_list_s_lem t len key value slot + hashMap_insert_in_list_s_lem t len key value slot end -val hash_map_insert_no_resize_s_get_diff_lem - (#t : Type0) (hm : hash_map_s t) +val hashMap_insert_no_resize_s_get_diff_lem + (#t : Type0) (hm : hashMap_s t) (key : usize) (value : t) (key' : usize{key' <> key}) : - Lemma (requires (hash_map_s_inv hm)) + Lemma (requires (hashMap_s_inv hm)) (ensures ( - match hash_map_insert_no_resize_s hm key value with + match hashMap_insert_no_resize_s hm key value with | Fail _ -> True | Return hm' -> - hash_map_s_find hm' key' == hash_map_s_find hm key')) + hashMap_s_find hm' key' == hashMap_s_find hm key')) -let hash_map_insert_no_resize_s_get_diff_lem #t hm key value key' = +let hashMap_insert_no_resize_s_get_diff_lem #t hm key value key' = let num_entries = length (flatten hm) in - if None? (hash_map_s_find hm key) && num_entries = usize_max then () + if None? (hashMap_s_find hm key) && num_entries = usize_max then () else begin - let hm' = Return?.v (hash_map_insert_no_resize_s hm key value) in + let hm' = Return?.v (hashMap_insert_no_resize_s hm key value) in let len = length hm in let i = hash_mod_key key len in let slot = index hm i in - hash_map_insert_in_list_s_lem t len key value slot; + hashMap_insert_in_list_s_lem t len key value slot; let i' = hash_mod_key key' len in if i <> i' then () else @@ -1354,116 +1354,116 @@ let hash_map_insert_no_resize_s_get_diff_lem #t hm key value key' = (*** move_elements_from_list *) -/// Having a great time here: if we use `result (hash_map_s_res t)` as the -/// return type for [hash_map_move_elements_from_list_s] instead of having this -/// awkward match, the proof of [hash_map_move_elements_fwd_back_lem_refin] fails. +/// Having a great time here: if we use `result (hashMap_s_res t)` as the +/// return type for [hashMap_move_elements_from_list_s] instead of having this +/// awkward match, the proof of [hashMap_move_elements_lem_refin] fails. /// I guess it comes from F*'s poor subtyping. -/// Followingly, I'm not taking any chance and using [result_hash_map_s] +/// Followingly, I'm not taking any chance and using [result_hashMap_s] /// everywhere. -type result_hash_map_s_nes (t : Type0) : Type0 = - res:result (hash_map_s t) { +type result_hashMap_s_nes (t : Type0) : Type0 = + res:result (hashMap_s t) { match res with | Fail _ -> True | Return hm -> is_pos_usize (length hm) } -let rec hash_map_move_elements_from_list_s - (#t : Type0) (hm : hash_map_s_nes t) +let rec hashMap_move_elements_from_list_s + (#t : Type0) (hm : hashMap_s_nes t) (ls : slot_s t) : - // Do *NOT* use `result (hash_map_s t)` - Tot (result_hash_map_s_nes t) + // Do *NOT* use `result (hashMap_s t)` + Tot (result_hashMap_s_nes t) (decreases ls) = match ls with | [] -> Return hm | (key, value) :: ls' -> - match hash_map_insert_no_resize_s hm key value with + match hashMap_insert_no_resize_s hm key value with | Fail e -> Fail e | Return hm' -> - hash_map_move_elements_from_list_s hm' ls' + hashMap_move_elements_from_list_s hm' ls' /// Refinement lemma -val hash_map_move_elements_from_list_fwd_back_lem - (t : Type0) (ntable : hash_map_t_nes t) (ls : list_t t) : - Lemma (requires (hash_map_t_base_inv ntable)) +val hashMap_move_elements_from_list_lem + (t : Type0) (ntable : hashMap_t_nes t) (ls : list_t t) : + Lemma (requires (hashMap_t_base_inv ntable)) (ensures ( - match hash_map_move_elements_from_list_fwd_back t ntable ls, - hash_map_move_elements_from_list_s (hash_map_t_v ntable) (slot_t_v ls) + match hashMap_move_elements_from_list t ntable ls, + hashMap_move_elements_from_list_s (hashMap_t_v ntable) (slot_t_v ls) with | Fail _, Fail _ -> True | Return hm', Return hm_v -> - hash_map_t_base_inv hm' /\ - hash_map_t_v hm' == hm_v /\ - hash_map_t_same_params hm' ntable + hashMap_t_base_inv hm' /\ + hashMap_t_v hm' == hm_v /\ + hashMap_t_same_params hm' ntable | _ -> False)) - (decreases (hash_map_move_elements_from_list_loop_decreases t ntable ls)) + (decreases (hashMap_move_elements_from_list_loop_decreases t ntable ls)) #push-options "--fuel 1" -let rec hash_map_move_elements_from_list_fwd_back_lem t ntable ls = +let rec hashMap_move_elements_from_list_lem t ntable ls = begin match ls with - | ListCons k v tl -> + | List_Cons k v tl -> assert(list_t_v ls == (k, v) :: list_t_v tl); let ls_v = list_t_v ls in let (_,_) :: tl_v = ls_v in - hash_map_insert_no_resize_fwd_back_lem_s t ntable k v; - begin match hash_map_insert_no_resize_fwd_back t ntable k v with + hashMap_insert_no_resize_lem_s t ntable k v; + begin match hashMap_insert_no_resize t ntable k v with | Fail _ -> () | Return h -> - let h_v = Return?.v (hash_map_insert_no_resize_s (hash_map_t_v ntable) k v) in - assert(hash_map_t_v h == h_v); - hash_map_move_elements_from_list_fwd_back_lem t h tl; - begin match hash_map_move_elements_from_list_fwd_back t h tl with + let h_v = Return?.v (hashMap_insert_no_resize_s (hashMap_t_v ntable) k v) in + assert(hashMap_t_v h == h_v); + hashMap_move_elements_from_list_lem t h tl; + begin match hashMap_move_elements_from_list t h tl with | Fail _ -> () | Return h0 -> () end end - | ListNil -> () + | List_Nil -> () end #pop-options (*** move_elements *) (**** move_elements: refinement 0 *) -/// The proof for [hash_map_move_elements_fwd_back_lem_refin] broke so many times +/// The proof for [hashMap_move_elements_lem_refin] broke so many times /// (while it is supposed to be super simple!) that we decided to add one refinement /// level, to really do things step by step... /// Doing this refinement layer made me notice that maybe the problem came from -/// the fact that at some point we have to prove `list_t_v ListNil == []`: I +/// the fact that at some point we have to prove `list_t_v List_Nil == []`: I /// added the corresponding assert to help Z3 and everything became stable. /// I finally didn't use this "simple" refinement lemma, but I still keep it here -/// because it allows for easy comparisons with [hash_map_move_elements_s]. +/// because it allows for easy comparisons with [hashMap_move_elements_s]. -/// [hash_map_move_elements_fwd] refines this function, which is actually almost +/// [hashMap_move_elements] refines this function, which is actually almost /// the same (just a little bit shorter and cleaner, and has a pre). /// /// The way I wrote the high-level model is the following: -/// - I copy-pasted the definition of [hash_map_move_elements_fwd], wrote the -/// signature which links this new definition to [hash_map_move_elements_fwd] and +/// - I copy-pasted the definition of [hashMap_move_elements], wrote the +/// signature which links this new definition to [hashMap_move_elements] and /// checked that the proof passed /// - I gradually simplified it, while making sure the proof still passes #push-options "--fuel 1" -let rec hash_map_move_elements_s_simpl - (t : Type0) (ntable : hash_map_t t) - (slots : vec (list_t t)) +let rec hashMap_move_elements_s_simpl + (t : Type0) (ntable : hashMap_t t) + (slots : alloc_vec_Vec (list_t t)) (i : usize{i <= length slots /\ length slots <= usize_max}) : - Pure (result ((hash_map_t t) & (vec (list_t t)))) + Pure (result ((hashMap_t t) & (alloc_vec_Vec (list_t t)))) (requires (True)) (ensures (fun res -> - match res, hash_map_move_elements_fwd_back t ntable slots i with + match res, hashMap_move_elements t ntable slots i with | Fail _, Fail _ -> True | Return (ntable1, slots1), Return (ntable2, slots2) -> ntable1 == ntable2 /\ slots1 == slots2 | _ -> False)) - (decreases (hash_map_move_elements_loop_decreases t ntable slots i)) + (decreases (hashMap_move_elements_loop_decreases t ntable slots i)) = if i < length slots then let slot = index slots i in - begin match hash_map_move_elements_from_list_fwd_back t ntable slot with + begin match hashMap_move_elements_from_list t ntable slot with | Fail e -> Fail e | Return hm' -> - let slots' = list_update slots i ListNil in - hash_map_move_elements_s_simpl t hm' slots' (i+1) + let slots' = list_update slots i List_Nil in + hashMap_move_elements_s_simpl t hm' slots' (i+1) end else Return (ntable, slots) #pop-options @@ -1476,71 +1476,71 @@ let rec hash_map_move_elements_s_simpl // Note that we ignore the returned slots (we thus don't return a pair: // only the new hash map in which we moved the elements from the slots): // this returned value is not used. -let rec hash_map_move_elements_s - (#t : Type0) (hm : hash_map_s_nes t) +let rec hashMap_move_elements_s + (#t : Type0) (hm : hashMap_s_nes t) (slots : slots_s t) (i : usize{i <= length slots /\ length slots <= usize_max}) : - Tot (result_hash_map_s_nes t) + Tot (result_hashMap_s_nes t) (decreases (length slots - i)) = let len = length slots in if i < len then begin let slot = index slots i in - match hash_map_move_elements_from_list_s hm slot with + match hashMap_move_elements_from_list_s hm slot with | Fail e -> Fail e | Return hm' -> let slots' = list_update slots i [] in - hash_map_move_elements_s hm' slots' (i+1) + hashMap_move_elements_s hm' slots' (i+1) end else Return hm -val hash_map_move_elements_fwd_back_lem_refin - (t : Type0) (ntable : hash_map_t t) - (slots : vec (list_t t)) (i : usize{i <= length slots}) : +val hashMap_move_elements_lem_refin + (t : Type0) (ntable : hashMap_t t) + (slots : alloc_vec_Vec (list_t t)) (i : usize{i <= length slots}) : Lemma (requires ( - hash_map_t_base_inv ntable)) + hashMap_t_base_inv ntable)) (ensures ( - match hash_map_move_elements_fwd_back t ntable slots i, - hash_map_move_elements_s (hash_map_t_v ntable) (slots_t_v slots) i + match hashMap_move_elements t ntable slots i, + hashMap_move_elements_s (hashMap_t_v ntable) (slots_t_v slots) i with | Fail _, Fail _ -> True // We will prove later that this is not possible | Return (ntable', _), Return ntable'_v -> - hash_map_t_base_inv ntable' /\ - hash_map_t_v ntable' == ntable'_v /\ - hash_map_t_same_params ntable' ntable + hashMap_t_base_inv ntable' /\ + hashMap_t_v ntable' == ntable'_v /\ + hashMap_t_same_params ntable' ntable | _ -> False)) (decreases (length slots - i)) #restart-solver #push-options "--fuel 1" -let rec hash_map_move_elements_fwd_back_lem_refin t ntable slots i = - assert(hash_map_t_base_inv ntable); - let i0 = vec_len (list_t t) slots in +let rec hashMap_move_elements_lem_refin t ntable slots i = + assert(hashMap_t_base_inv ntable); + let i0 = alloc_vec_Vec_len (list_t t) slots in let b = i < i0 in if b then - begin match vec_index_mut_fwd (list_t t) slots i with + begin match alloc_vec_Vec_index_usize slots i with | Fail _ -> () | Return l -> - let l0 = mem_replace_fwd (list_t t) l ListNil in + let l0 = core_mem_replace (list_t t) l List_Nil in assert(l0 == l); - hash_map_move_elements_from_list_fwd_back_lem t ntable l0; - begin match hash_map_move_elements_from_list_fwd_back t ntable l0 with + hashMap_move_elements_from_list_lem t ntable l0; + begin match hashMap_move_elements_from_list t ntable l0 with | Fail _ -> () | Return h -> - let l1 = mem_replace_back (list_t t) l ListNil in - assert(l1 == ListNil); - assert(slot_t_v #t ListNil == []); // THIS IS IMPORTANT - begin match vec_index_mut_back (list_t t) slots i l1 with + let l1 = core_mem_replace_back (list_t t) l List_Nil in + assert(l1 == List_Nil); + assert(slot_t_v #t List_Nil == []); // THIS IS IMPORTANT + begin match alloc_vec_Vec_update_usize slots i l1 with | Fail _ -> () | Return v -> begin match usize_add i 1 with | Fail _ -> () | Return i1 -> - hash_map_move_elements_fwd_back_lem_refin t h v i1; - begin match hash_map_move_elements_fwd_back t h v i1 with + hashMap_move_elements_lem_refin t h v i1; + begin match hashMap_move_elements t h v i1 with | Fail _ -> - assert(Fail? (hash_map_move_elements_fwd_back t ntable slots i)); + assert(Fail? (hashMap_move_elements t ntable slots i)); () | Return (ntable', v0) -> () end @@ -1560,19 +1560,19 @@ let rec hash_map_move_elements_fwd_back_lem_refin t ntable slots i = /// [ntable] is the hash map to which we move the elements /// [slots] is the current hash map, from which we remove the elements, and seen /// as a "flat" associative list (and not a list of lists) -/// This is actually exactly [hash_map_move_elements_from_list_s]... -let rec hash_map_move_elements_s_flat - (#t : Type0) (ntable : hash_map_s_nes t) +/// This is actually exactly [hashMap_move_elements_from_list_s]... +let rec hashMap_move_elements_s_flat + (#t : Type0) (ntable : hashMap_s_nes t) (slots : assoc_list t) : - Tot (result_hash_map_s_nes t) + Tot (result_hashMap_s_nes t) (decreases slots) = match slots with | [] -> Return ntable | (k,v) :: slots' -> - match hash_map_insert_no_resize_s ntable k v with + match hashMap_insert_no_resize_s ntable k v with | Fail e -> Fail e | Return ntable' -> - hash_map_move_elements_s_flat ntable' slots' + hashMap_move_elements_s_flat ntable' slots' /// The refinment lemmas /// First, auxiliary helpers. @@ -1656,42 +1656,42 @@ let rec flatten_nil_prefix_as_flatten_i #a l i = /// The proof is trivial, the functions are the same. /// Just keeping two definitions to allow changes... -val hash_map_move_elements_from_list_s_as_flat_lem - (#t : Type0) (hm : hash_map_s_nes t) +val hashMap_move_elements_from_list_s_as_flat_lem + (#t : Type0) (hm : hashMap_s_nes t) (ls : slot_s t) : Lemma (ensures ( - hash_map_move_elements_from_list_s hm ls == - hash_map_move_elements_s_flat hm ls)) + hashMap_move_elements_from_list_s hm ls == + hashMap_move_elements_s_flat hm ls)) (decreases ls) #push-options "--fuel 1" -let rec hash_map_move_elements_from_list_s_as_flat_lem #t hm ls = +let rec hashMap_move_elements_from_list_s_as_flat_lem #t hm ls = match ls with | [] -> () | (key, value) :: ls' -> - match hash_map_insert_no_resize_s hm key value with + match hashMap_insert_no_resize_s hm key value with | Fail _ -> () | Return hm' -> - hash_map_move_elements_from_list_s_as_flat_lem hm' ls' + hashMap_move_elements_from_list_s_as_flat_lem hm' ls' #pop-options -/// Composition of two calls to [hash_map_move_elements_s_flat] -let hash_map_move_elements_s_flat_comp - (#t : Type0) (hm : hash_map_s_nes t) (slot0 slot1 : slot_s t) : - Tot (result_hash_map_s_nes t) = - match hash_map_move_elements_s_flat hm slot0 with +/// Composition of two calls to [hashMap_move_elements_s_flat] +let hashMap_move_elements_s_flat_comp + (#t : Type0) (hm : hashMap_s_nes t) (slot0 slot1 : slot_s t) : + Tot (result_hashMap_s_nes t) = + match hashMap_move_elements_s_flat hm slot0 with | Fail e -> Fail e - | Return hm1 -> hash_map_move_elements_s_flat hm1 slot1 + | Return hm1 -> hashMap_move_elements_s_flat hm1 slot1 /// High-level desc: /// move_elements (move_elements hm slot0) slo1 == move_elements hm (slot0 @ slot1) -val hash_map_move_elements_s_flat_append_lem - (#t : Type0) (hm : hash_map_s_nes t) (slot0 slot1 : slot_s t) : +val hashMap_move_elements_s_flat_append_lem + (#t : Type0) (hm : hashMap_s_nes t) (slot0 slot1 : slot_s t) : Lemma (ensures ( - match hash_map_move_elements_s_flat_comp hm slot0 slot1, - hash_map_move_elements_s_flat hm (slot0 @ slot1) + match hashMap_move_elements_s_flat_comp hm slot0 slot1, + hashMap_move_elements_s_flat hm (slot0 @ slot1) with | Fail _, Fail _ -> True | Return hm1, Return hm2 -> hm1 == hm2 @@ -1699,14 +1699,14 @@ val hash_map_move_elements_s_flat_append_lem (decreases (slot0)) #push-options "--fuel 1" -let rec hash_map_move_elements_s_flat_append_lem #t hm slot0 slot1 = +let rec hashMap_move_elements_s_flat_append_lem #t hm slot0 slot1 = match slot0 with | [] -> () | (k,v) :: slot0' -> - match hash_map_insert_no_resize_s hm k v with + match hashMap_insert_no_resize_s hm k v with | Fail _ -> () | Return hm' -> - hash_map_move_elements_s_flat_append_lem hm' slot0' slot1 + hashMap_move_elements_s_flat_append_lem hm' slot0' slot1 #pop-options val flatten_i_same_suffix (#a : Type) (l0 l1 : list (list a)) (i : nat) : @@ -1726,16 +1726,16 @@ let rec flatten_i_same_suffix #a l0 l1 i = #pop-options /// Refinement lemma: -/// [hash_map_move_elements_s] refines [hash_map_move_elements_s_flat] +/// [hashMap_move_elements_s] refines [hashMap_move_elements_s_flat] /// (actually the functions are equal on all inputs). -val hash_map_move_elements_s_lem_refin_flat - (#t : Type0) (hm : hash_map_s_nes t) +val hashMap_move_elements_s_lem_refin_flat + (#t : Type0) (hm : hashMap_s_nes t) (slots : slots_s t) (i : nat{i <= length slots /\ length slots <= usize_max}) : Lemma (ensures ( - match hash_map_move_elements_s hm slots i, - hash_map_move_elements_s_flat hm (flatten_i slots i) + match hashMap_move_elements_s hm slots i, + hashMap_move_elements_s_flat hm (flatten_i slots i) with | Fail _, Fail _ -> True | Return hm, Return hm' -> hm == hm' @@ -1743,22 +1743,22 @@ val hash_map_move_elements_s_lem_refin_flat (decreases (length slots - i)) #push-options "--fuel 1" -let rec hash_map_move_elements_s_lem_refin_flat #t hm slots i = +let rec hashMap_move_elements_s_lem_refin_flat #t hm slots i = let len = length slots in if i < len then begin let slot = index slots i in - hash_map_move_elements_from_list_s_as_flat_lem hm slot; - match hash_map_move_elements_from_list_s hm slot with + hashMap_move_elements_from_list_s_as_flat_lem hm slot; + match hashMap_move_elements_from_list_s hm slot with | Fail _ -> assert(flatten_i slots i == slot @ flatten_i slots (i+1)); - hash_map_move_elements_s_flat_append_lem hm slot (flatten_i slots (i+1)); - assert(Fail? (hash_map_move_elements_s_flat hm (flatten_i slots i))) + hashMap_move_elements_s_flat_append_lem hm slot (flatten_i slots (i+1)); + assert(Fail? (hashMap_move_elements_s_flat hm (flatten_i slots i))) | Return hm' -> let slots' = list_update slots i [] in flatten_i_same_suffix slots slots' (i+1); - hash_map_move_elements_s_lem_refin_flat hm' slots' (i+1); - hash_map_move_elements_s_flat_append_lem hm slot (flatten_i slots' (i+1)); + hashMap_move_elements_s_lem_refin_flat hm' slots' (i+1); + hashMap_move_elements_s_flat_append_lem hm slot (flatten_i slots' (i+1)); () end else () @@ -1769,21 +1769,21 @@ let assoc_list_inv (#t : Type0) (al : assoc_list t) : Type0 = pairwise_rel binding_neq al let disjoint_hm_al_on_key - (#t : Type0) (hm : hash_map_s_nes t) (al : assoc_list t) (k : key) : Type0 = - match hash_map_s_find hm k, assoc_list_find k al with + (#t : Type0) (hm : hashMap_s_nes t) (al : assoc_list t) (k : key) : Type0 = + match hashMap_s_find hm k, assoc_list_find k al with | Some _, None | None, Some _ | None, None -> True | Some _, Some _ -> False /// Playing a dangerous game here: using forall quantifiers -let disjoint_hm_al (#t : Type0) (hm : hash_map_s_nes t) (al : assoc_list t) : Type0 = +let disjoint_hm_al (#t : Type0) (hm : hashMap_s_nes t) (al : assoc_list t) : Type0 = forall (k:key). disjoint_hm_al_on_key hm al k let find_in_union_hm_al - (#t : Type0) (hm : hash_map_s_nes t) (al : assoc_list t) (k : key) : + (#t : Type0) (hm : hashMap_s_nes t) (al : assoc_list t) (k : key) : option t = - match hash_map_s_find hm k with + match hashMap_s_find hm k with | Some b -> Some b | None -> assoc_list_find k al @@ -1799,58 +1799,58 @@ let rec for_all_binding_neq_find_lem #t k v al = | b :: al' -> for_all_binding_neq_find_lem k v al' #pop-options -val hash_map_move_elements_s_flat_lem - (#t : Type0) (hm : hash_map_s_nes t) (al : assoc_list t) : +val hashMap_move_elements_s_flat_lem + (#t : Type0) (hm : hashMap_s_nes t) (al : assoc_list t) : Lemma (requires ( // Invariants - hash_map_s_inv hm /\ + hashMap_s_inv hm /\ assoc_list_inv al /\ // The two are disjoint disjoint_hm_al hm al /\ // We can add all the elements to the hashmap - hash_map_s_len hm + length al <= usize_max)) + hashMap_s_len hm + length al <= usize_max)) (ensures ( - match hash_map_move_elements_s_flat hm al with + match hashMap_move_elements_s_flat hm al with | Fail _ -> False // We can't fail | Return hm' -> // The invariant is preserved - hash_map_s_inv hm' /\ + hashMap_s_inv hm' /\ // The new hash map is the union of the two maps - (forall (k:key). hash_map_s_find hm' k == find_in_union_hm_al hm al k) /\ - hash_map_s_len hm' = hash_map_s_len hm + length al)) + (forall (k:key). hashMap_s_find hm' k == find_in_union_hm_al hm al k) /\ + hashMap_s_len hm' = hashMap_s_len hm + length al)) (decreases al) #restart-solver #push-options "--z3rlimit 200 --fuel 1" -let rec hash_map_move_elements_s_flat_lem #t hm al = +let rec hashMap_move_elements_s_flat_lem #t hm al = match al with | [] -> () | (k,v) :: al' -> - hash_map_insert_no_resize_s_lem hm k v; - match hash_map_insert_no_resize_s hm k v with + hashMap_insert_no_resize_s_lem hm k v; + match hashMap_insert_no_resize_s hm k v with | Fail _ -> () | Return hm' -> - assert(hash_map_s_inv hm'); + assert(hashMap_s_inv hm'); assert(assoc_list_inv al'); let disjoint_lem (k' : key) : Lemma (disjoint_hm_al_on_key hm' al' k') [SMTPat (disjoint_hm_al_on_key hm' al' k')] = if k' = k then begin - assert(hash_map_s_find hm' k' == Some v); + assert(hashMap_s_find hm' k' == Some v); for_all_binding_neq_find_lem k v al'; assert(assoc_list_find k' al' == None) end else begin - assert(hash_map_s_find hm' k' == hash_map_s_find hm k'); + assert(hashMap_s_find hm' k' == hashMap_s_find hm k'); assert(assoc_list_find k' al' == assoc_list_find k' al) end in assert(disjoint_hm_al hm' al'); - assert(hash_map_s_len hm' + length al' <= usize_max); - hash_map_move_elements_s_flat_lem hm' al' + assert(hashMap_s_len hm' + length al' <= usize_max); + hashMap_move_elements_s_flat_lem hm' al' #pop-options /// We need to prove that the invariants on the "low-level" representations of @@ -1866,18 +1866,18 @@ let slots_t_inv_implies_slots_s_inv #t slots = // Problem is: I can never really predict for sure with F*... () -val hash_map_t_base_inv_implies_hash_map_s_inv - (#t : Type0) (hm : hash_map_t t) : - Lemma (requires (hash_map_t_base_inv hm)) - (ensures (hash_map_s_inv (hash_map_t_v hm))) +val hashMap_t_base_inv_implies_hashMap_s_inv + (#t : Type0) (hm : hashMap_t t) : + Lemma (requires (hashMap_t_base_inv hm)) + (ensures (hashMap_s_inv (hashMap_t_v hm))) -let hash_map_t_base_inv_implies_hash_map_s_inv #t hm = () // same as previous +let hashMap_t_base_inv_implies_hashMap_s_inv #t hm = () // same as previous /// Introducing a "partial" version of the hash map invariant, which operates on /// a suffix of the hash map. -let partial_hash_map_s_inv +let partial_hashMap_s_inv (#t : Type0) (len : usize{len > 0}) (offset : usize) - (hm : hash_map_s t{offset + length hm <= usize_max}) : Type0 = + (hm : hashMap_s t{offset + length hm <= usize_max}) : Type0 = forall(i:nat{i < length hm}). {:pattern index hm i} slot_s_inv len (offset + i) (index hm i) /// Auxiliary lemma. @@ -1887,13 +1887,13 @@ val binding_in_previous_slot_implies_neq (#t : Type0) (len : usize{len > 0}) (i : usize) (b : binding t) (offset : usize{i < offset}) - (slots : hash_map_s t{offset + length slots <= usize_max}) : + (slots : hashMap_s t{offset + length slots <= usize_max}) : Lemma (requires ( // The binding comes from a slot not in [slots] hash_mod_key (fst b) len = i /\ // The slots are the well-formed suffix of a hash map - partial_hash_map_s_inv len offset slots)) + partial_hashMap_s_inv len offset slots)) (ensures ( for_all (binding_neq b) (flatten slots))) (decreases slots) @@ -1924,17 +1924,17 @@ let rec binding_in_previous_slot_implies_neq #t len i b offset slots = for_all_append (binding_neq b) s (flatten slots') #pop-options -val partial_hash_map_s_inv_implies_assoc_list_lem +val partial_hashMap_s_inv_implies_assoc_list_lem (#t : Type0) (len : usize{len > 0}) (offset : usize) - (hm : hash_map_s t{offset + length hm <= usize_max}) : + (hm : hashMap_s t{offset + length hm <= usize_max}) : Lemma (requires ( - partial_hash_map_s_inv len offset hm)) + partial_hashMap_s_inv len offset hm)) (ensures (assoc_list_inv (flatten hm))) (decreases (length hm + length (flatten hm))) #push-options "--fuel 1" -let rec partial_hash_map_s_inv_implies_assoc_list_lem #t len offset hm = +let rec partial_hashMap_s_inv_implies_assoc_list_lem #t len offset hm = match hm with | [] -> () | slot :: hm' -> @@ -1943,8 +1943,8 @@ let rec partial_hash_map_s_inv_implies_assoc_list_lem #t len offset hm = match slot with | [] -> assert(flatten hm == flatten hm'); - assert(partial_hash_map_s_inv len (offset+1) hm'); // Triggers instantiations - partial_hash_map_s_inv_implies_assoc_list_lem len (offset+1) hm' + assert(partial_hashMap_s_inv len (offset+1) hm'); // Triggers instantiations + partial_hashMap_s_inv_implies_assoc_list_lem len (offset+1) hm' | x :: slot' -> assert(flatten (slot' :: hm') == slot' @ flatten hm'); let hm'' = slot' :: hm' in @@ -1953,45 +1953,45 @@ let rec partial_hash_map_s_inv_implies_assoc_list_lem #t len offset hm = assert(index hm 0 == slot); // Triggers instantiations assert(slot_s_inv len offset slot); assert(slot_s_inv len offset slot'); - assert(partial_hash_map_s_inv len offset hm''); - partial_hash_map_s_inv_implies_assoc_list_lem len offset (slot' :: hm'); + assert(partial_hashMap_s_inv len offset hm''); + partial_hashMap_s_inv_implies_assoc_list_lem len offset (slot' :: hm'); // Proving that the key in `x` is different from all the other keys in // the flattened map assert(for_all (binding_neq x) slot'); for_all_append (binding_neq x) slot' (flatten hm'); - assert(partial_hash_map_s_inv len (offset+1) hm'); + assert(partial_hashMap_s_inv len (offset+1) hm'); binding_in_previous_slot_implies_neq #t len offset x (offset+1) hm'; assert(for_all (binding_neq x) (flatten hm')); assert(for_all (binding_neq x) (flatten (slot' :: hm'))) #pop-options -val hash_map_s_inv_implies_assoc_list_lem - (#t : Type0) (hm : hash_map_s t) : - Lemma (requires (hash_map_s_inv hm)) +val hashMap_s_inv_implies_assoc_list_lem + (#t : Type0) (hm : hashMap_s t) : + Lemma (requires (hashMap_s_inv hm)) (ensures (assoc_list_inv (flatten hm))) -let hash_map_s_inv_implies_assoc_list_lem #t hm = - partial_hash_map_s_inv_implies_assoc_list_lem (length hm) 0 hm +let hashMap_s_inv_implies_assoc_list_lem #t hm = + partial_hashMap_s_inv_implies_assoc_list_lem (length hm) 0 hm -val hash_map_t_base_inv_implies_assoc_list_lem - (#t : Type0) (hm : hash_map_t t): - Lemma (requires (hash_map_t_base_inv hm)) - (ensures (assoc_list_inv (hash_map_t_al_v hm))) +val hashMap_t_base_inv_implies_assoc_list_lem + (#t : Type0) (hm : hashMap_t t): + Lemma (requires (hashMap_t_base_inv hm)) + (ensures (assoc_list_inv (hashMap_t_al_v hm))) -let hash_map_t_base_inv_implies_assoc_list_lem #t hm = - hash_map_s_inv_implies_assoc_list_lem (hash_map_t_v hm) +let hashMap_t_base_inv_implies_assoc_list_lem #t hm = + hashMap_s_inv_implies_assoc_list_lem (hashMap_t_v hm) /// For some reason, we can't write the below [forall] directly in the [ensures] /// clause of the next lemma: it makes Z3 fails even with a huge rlimit. /// I have no idea what's going on. -let hash_map_is_assoc_list - (#t : Type0) (ntable : hash_map_t t{length ntable.hash_map_slots > 0}) +let hashMap_is_assoc_list + (#t : Type0) (ntable : hashMap_t t{length ntable.slots > 0}) (al : assoc_list t) : Type0 = - (forall (k:key). hash_map_t_find_s ntable k == assoc_list_find k al) + (forall (k:key). hashMap_t_find_s ntable k == assoc_list_find k al) -let partial_hash_map_s_find +let partial_hashMap_s_find (#t : Type0) (len : usize{len > 0}) (offset : usize) - (hm : hash_map_s_nes t{offset + length hm = len}) + (hm : hashMap_s_nes t{offset + length hm = len}) (k : key{hash_mod_key k len >= offset}) : option t = let i = hash_mod_key k len in let slot = index hm (i - offset) in @@ -2021,13 +2021,13 @@ val key_in_previous_slot_implies_not_found (#t : Type0) (len : usize{len > 0}) (k : key) (offset : usize) - (slots : hash_map_s t{offset + length slots = len}) : + (slots : hashMap_s t{offset + length slots = len}) : Lemma (requires ( // The binding comes from a slot not in [slots] hash_mod_key k len < offset /\ // The slots are the well-formed suffix of a hash map - partial_hash_map_s_inv len offset slots)) + partial_hashMap_s_inv len offset slots)) (ensures ( assoc_list_find k (flatten slots) == None)) (decreases slots) @@ -2045,19 +2045,19 @@ let rec key_in_previous_slot_implies_not_found #t len k offset slots = key_in_previous_slot_implies_not_found len k (offset+1) slots' #pop-options -val partial_hash_map_s_is_assoc_list_lem +val partial_hashMap_s_is_assoc_list_lem (#t : Type0) (len : usize{len > 0}) (offset : usize) - (hm : hash_map_s_nes t{offset + length hm = len}) + (hm : hashMap_s_nes t{offset + length hm = len}) (k : key{hash_mod_key k len >= offset}) : Lemma (requires ( - partial_hash_map_s_inv len offset hm)) + partial_hashMap_s_inv len offset hm)) (ensures ( - partial_hash_map_s_find len offset hm k == assoc_list_find k (flatten hm))) + partial_hashMap_s_find len offset hm k == assoc_list_find k (flatten hm))) (decreases hm) #push-options "--fuel 1" -let rec partial_hash_map_s_is_assoc_list_lem #t len offset hm k = +let rec partial_hashMap_s_is_assoc_list_lem #t len offset hm k = match hm with | [] -> () | slot :: hm' -> @@ -2066,7 +2066,7 @@ let rec partial_hash_map_s_is_assoc_list_lem #t len offset hm k = if i = 0 then begin // We must look in the current slot - assert(partial_hash_map_s_find len offset hm k == slot_s_find k slot); + assert(partial_hashMap_s_find len offset hm k == slot_s_find k slot); find_append (same_key k) slot (flatten hm'); assert(forall (i:nat{i < length hm'}). index hm' i == index hm (i+1)); // Triggers instantiations key_in_previous_slot_implies_not_found #t len k (offset+1) hm'; @@ -2085,64 +2085,64 @@ let rec partial_hash_map_s_is_assoc_list_lem #t len offset hm k = else begin // We must ignore the current slot - assert(partial_hash_map_s_find len offset hm k == - partial_hash_map_s_find len (offset+1) hm' k); + assert(partial_hashMap_s_find len offset hm k == + partial_hashMap_s_find len (offset+1) hm' k); find_append (same_key k) slot (flatten hm'); assert(index hm 0 == slot); // Triggers instantiations not_same_hash_key_not_found_in_slot #t len k offset slot; assert(forall (i:nat{i < length hm'}). index hm' i == index hm (i+1)); // Triggers instantiations - partial_hash_map_s_is_assoc_list_lem #t len (offset+1) hm' k + partial_hashMap_s_is_assoc_list_lem #t len (offset+1) hm' k end #pop-options -val hash_map_is_assoc_list_lem (#t : Type0) (hm : hash_map_t t) : - Lemma (requires (hash_map_t_base_inv hm)) - (ensures (hash_map_is_assoc_list hm (hash_map_t_al_v hm))) +val hashMap_is_assoc_list_lem (#t : Type0) (hm : hashMap_t t) : + Lemma (requires (hashMap_t_base_inv hm)) + (ensures (hashMap_is_assoc_list hm (hashMap_t_al_v hm))) -let hash_map_is_assoc_list_lem #t hm = +let hashMap_is_assoc_list_lem #t hm = let aux (k:key) : - Lemma (hash_map_t_find_s hm k == assoc_list_find k (hash_map_t_al_v hm)) - [SMTPat (hash_map_t_find_s hm k)] = - let hm_v = hash_map_t_v hm in + Lemma (hashMap_t_find_s hm k == assoc_list_find k (hashMap_t_al_v hm)) + [SMTPat (hashMap_t_find_s hm k)] = + let hm_v = hashMap_t_v hm in let len = length hm_v in - partial_hash_map_s_is_assoc_list_lem #t len 0 hm_v k + partial_hashMap_s_is_assoc_list_lem #t len 0 hm_v k in () /// The final lemma about [move_elements]: calling it on an empty hash table moves /// all the elements to this empty table. -val hash_map_move_elements_fwd_back_lem - (t : Type0) (ntable : hash_map_t t) (slots : vec (list_t t)) : +val hashMap_move_elements_lem + (t : Type0) (ntable : hashMap_t t) (slots : alloc_vec_Vec (list_t t)) : Lemma (requires ( let al = flatten (slots_t_v slots) in - hash_map_t_base_inv ntable /\ + hashMap_t_base_inv ntable /\ length al <= usize_max /\ assoc_list_inv al /\ // The table is empty - hash_map_t_len_s ntable = 0 /\ - (forall (k:key). hash_map_t_find_s ntable k == None))) + hashMap_t_len_s ntable = 0 /\ + (forall (k:key). hashMap_t_find_s ntable k == None))) (ensures ( let al = flatten (slots_t_v slots) in - match hash_map_move_elements_fwd_back t ntable slots 0, - hash_map_move_elements_s_flat (hash_map_t_v ntable) al + match hashMap_move_elements t ntable slots 0, + hashMap_move_elements_s_flat (hashMap_t_v ntable) al with | Return (ntable', _), Return ntable'_v -> // The invariant is preserved - hash_map_t_base_inv ntable' /\ + hashMap_t_base_inv ntable' /\ // We preserved the parameters - hash_map_t_same_params ntable' ntable /\ + hashMap_t_same_params ntable' ntable /\ // The table has the same number of slots - length ntable'.hash_map_slots = length ntable.hash_map_slots /\ + length ntable'.slots = length ntable.slots /\ // The count is good - hash_map_t_len_s ntable' = length al /\ + hashMap_t_len_s ntable' = length al /\ // The table can be linked to its model (we need this only to reveal // "pretty" functional lemmas to the user in the fsti - so that we // can write lemmas with SMT patterns - this is very F* specific) - hash_map_t_v ntable' == ntable'_v /\ + hashMap_t_v ntable' == ntable'_v /\ // The new table contains exactly all the bindings from the slots - // Rk.: see the comment for [hash_map_is_assoc_list] - hash_map_is_assoc_list ntable' al + // Rk.: see the comment for [hashMap_is_assoc_list] + hashMap_is_assoc_list ntable' al | _ -> False // We can only succeed )) @@ -2154,41 +2154,41 @@ val hash_map_move_elements_fwd_back_lem // lack of ifuel (this kind of proofs is annoying, really). #restart-solver #push-options "--z3rlimit 100" -let hash_map_move_elements_fwd_back_lem t ntable slots = - let ntable_v = hash_map_t_v ntable in +let hashMap_move_elements_lem t ntable slots = + let ntable_v = hashMap_t_v ntable in let slots_v = slots_t_v slots in let al = flatten slots_v in - hash_map_move_elements_fwd_back_lem_refin t ntable slots 0; + hashMap_move_elements_lem_refin t ntable slots 0; begin - match hash_map_move_elements_fwd_back t ntable slots 0, - hash_map_move_elements_s ntable_v slots_v 0 + match hashMap_move_elements t ntable slots 0, + hashMap_move_elements_s ntable_v slots_v 0 with | Fail _, Fail _ -> () | Return (ntable', _), Return ntable'_v -> - assert(hash_map_t_base_inv ntable'); - assert(hash_map_t_v ntable' == ntable'_v) + assert(hashMap_t_base_inv ntable'); + assert(hashMap_t_v ntable' == ntable'_v) | _ -> assert(False) end; - hash_map_move_elements_s_lem_refin_flat ntable_v slots_v 0; + hashMap_move_elements_s_lem_refin_flat ntable_v slots_v 0; begin - match hash_map_move_elements_s ntable_v slots_v 0, - hash_map_move_elements_s_flat ntable_v (flatten_i slots_v 0) + match hashMap_move_elements_s ntable_v slots_v 0, + hashMap_move_elements_s_flat ntable_v (flatten_i slots_v 0) with | Fail _, Fail _ -> () | Return hm, Return hm' -> assert(hm == hm') | _ -> assert(False) end; flatten_0_is_flatten slots_v; // flatten_i slots_v 0 == flatten slots_v - hash_map_move_elements_s_flat_lem ntable_v al; - match hash_map_move_elements_fwd_back t ntable slots 0, - hash_map_move_elements_s_flat ntable_v al + hashMap_move_elements_s_flat_lem ntable_v al; + match hashMap_move_elements t ntable slots 0, + hashMap_move_elements_s_flat ntable_v al with | Return (ntable', _), Return ntable'_v -> - assert(hash_map_t_base_inv ntable'); - assert(length ntable'.hash_map_slots = length ntable.hash_map_slots); - assert(hash_map_t_len_s ntable' = length al); - assert(hash_map_t_v ntable' == ntable'_v); - assert(hash_map_is_assoc_list ntable' al) + assert(hashMap_t_base_inv ntable'); + assert(length ntable'.slots = length ntable.slots); + assert(hashMap_t_len_s ntable' = length al); + assert(hashMap_t_v ntable' == ntable'_v); + assert(hashMap_is_assoc_list ntable' al) | _ -> assert(False) #pop-options @@ -2197,47 +2197,47 @@ let hash_map_move_elements_fwd_back_lem t ntable slots = /// High-level model 1. /// This is one is slightly "crude": we just simplify a bit the function. -let hash_map_try_resize_s_simpl +let hashMap_try_resize_s_simpl (#t : Type0) - (hm : hash_map_t t) : - Pure (result (hash_map_t t)) + (hm : hashMap_t t) : + Pure (result (hashMap_t t)) (requires ( - let (divid, divis) = hm.hash_map_max_load_factor in + let (divid, divis) = hm.max_load_factor in divid > 0 /\ divis > 0)) (ensures (fun _ -> True)) = - let capacity = length hm.hash_map_slots in - let (divid, divis) = hm.hash_map_max_load_factor in + let capacity = length hm.slots in + let (divid, divis) = hm.max_load_factor in if capacity <= (usize_max / 2) / divid then let ncapacity : usize = capacity * 2 in - begin match hash_map_new_with_capacity_fwd t ncapacity divid divis with + begin match hashMap_new_with_capacity t ncapacity divid divis with | Fail e -> Fail e | Return ntable -> - match hash_map_move_elements_fwd_back t ntable hm.hash_map_slots 0 with + match hashMap_move_elements t ntable hm.slots 0 with | Fail e -> Fail e | Return (ntable', _) -> let hm = - { hm with hash_map_slots = ntable'.hash_map_slots; - hash_map_max_load = ntable'.hash_map_max_load } + { hm with slots = ntable'.slots; + max_load = ntable'.max_load } in Return hm end else Return hm -val hash_map_try_resize_fwd_back_lem_refin - (t : Type0) (self : hash_map_t t) : +val hashMap_try_resize_lem_refin + (t : Type0) (self : hashMap_t t) : Lemma (requires ( - let (divid, divis) = self.hash_map_max_load_factor in + let (divid, divis) = self.max_load_factor in divid > 0 /\ divis > 0)) (ensures ( - match hash_map_try_resize_fwd_back t self, - hash_map_try_resize_s_simpl self + match hashMap_try_resize t self, + hashMap_try_resize_s_simpl self with | Fail _, Fail _ -> True | Return hm1, Return hm2 -> hm1 == hm2 | _ -> False)) -let hash_map_try_resize_fwd_back_lem_refin t self = () +let hashMap_try_resize_lem_refin t self = () /// Isolating arithmetic proofs @@ -2342,78 +2342,78 @@ let new_max_load_lem len capacity divid divis = assert(nmax_load >= max_load + 1) #pop-options -val hash_map_try_resize_s_simpl_lem (#t : Type0) (hm : hash_map_t t) : +val hashMap_try_resize_s_simpl_lem (#t : Type0) (hm : hashMap_t t) : Lemma (requires ( // The base invariant is satisfied - hash_map_t_base_inv hm /\ + hashMap_t_base_inv hm /\ // However, the "full" invariant is broken, as we call [try_resize] // only if the current number of entries is > the max load. // // There are two situations: // - either we just reached the max load // - or we were already saturated and can't resize - (let (dividend, divisor) = hm.hash_map_max_load_factor in - hm.hash_map_num_entries == hm.hash_map_max_load + 1 \/ - length hm.hash_map_slots * 2 * dividend > usize_max) + (let (dividend, divisor) = hm.max_load_factor in + hm.num_entries == hm.max_load + 1 \/ + length hm.slots * 2 * dividend > usize_max) )) (ensures ( - match hash_map_try_resize_s_simpl hm with + match hashMap_try_resize_s_simpl hm with | Fail _ -> False | Return hm' -> // The full invariant is now satisfied (the full invariant is "base // invariant" + the map is not overloaded (or can't be resized because // already too big) - hash_map_t_inv hm' /\ + hashMap_t_inv hm' /\ // It contains the same bindings as the initial map - (forall (k:key). hash_map_t_find_s hm' k == hash_map_t_find_s hm k))) + (forall (k:key). hashMap_t_find_s hm' k == hashMap_t_find_s hm k))) #restart-solver #push-options "--z3rlimit 400" -let hash_map_try_resize_s_simpl_lem #t hm = - let capacity = length hm.hash_map_slots in - let (divid, divis) = hm.hash_map_max_load_factor in +let hashMap_try_resize_s_simpl_lem #t hm = + let capacity = length hm.slots in + let (divid, divis) = hm.max_load_factor in if capacity <= (usize_max / 2) / divid then begin let ncapacity : usize = capacity * 2 in assert(ncapacity * divid <= usize_max); - assert(hash_map_t_len_s hm = hm.hash_map_max_load + 1); - new_max_load_lem (hash_map_t_len_s hm) capacity divid divis; - hash_map_new_with_capacity_fwd_lem t ncapacity divid divis; - match hash_map_new_with_capacity_fwd t ncapacity divid divis with + assert(hashMap_t_len_s hm = hm.max_load + 1); + new_max_load_lem (hashMap_t_len_s hm) capacity divid divis; + hashMap_new_with_capacity_lem t ncapacity divid divis; + match hashMap_new_with_capacity t ncapacity divid divis with | Fail _ -> () | Return ntable -> - let slots = hm.hash_map_slots in + let slots = hm.slots in let al = flatten (slots_t_v slots) in - // Proving that: length al = hm.hash_map_num_entries + // Proving that: length al = hm.num_entries assert(al == flatten (map slot_t_v slots)); assert(al == flatten (map list_t_v slots)); - assert(hash_map_t_al_v hm == flatten (hash_map_t_v hm)); - assert(hash_map_t_al_v hm == flatten (map list_t_v hm.hash_map_slots)); - assert(al == hash_map_t_al_v hm); - assert(hash_map_t_base_inv ntable); - assert(length al = hm.hash_map_num_entries); + assert(hashMap_t_al_v hm == flatten (hashMap_t_v hm)); + assert(hashMap_t_al_v hm == flatten (map list_t_v hm.slots)); + assert(al == hashMap_t_al_v hm); + assert(hashMap_t_base_inv ntable); + assert(length al = hm.num_entries); assert(length al <= usize_max); - hash_map_t_base_inv_implies_assoc_list_lem hm; + hashMap_t_base_inv_implies_assoc_list_lem hm; assert(assoc_list_inv al); - assert(hash_map_t_len_s ntable = 0); - assert(forall (k:key). hash_map_t_find_s ntable k == None); - hash_map_move_elements_fwd_back_lem t ntable hm.hash_map_slots; - match hash_map_move_elements_fwd_back t ntable hm.hash_map_slots 0 with + assert(hashMap_t_len_s ntable = 0); + assert(forall (k:key). hashMap_t_find_s ntable k == None); + hashMap_move_elements_lem t ntable hm.slots; + match hashMap_move_elements t ntable hm.slots 0 with | Fail _ -> () | Return (ntable', _) -> - hash_map_is_assoc_list_lem hm; - assert(hash_map_is_assoc_list hm (hash_map_t_al_v hm)); + hashMap_is_assoc_list_lem hm; + assert(hashMap_is_assoc_list hm (hashMap_t_al_v hm)); let hm' = - { hm with hash_map_slots = ntable'.hash_map_slots; - hash_map_max_load = ntable'.hash_map_max_load } + { hm with slots = ntable'.slots; + max_load = ntable'.max_load } in - assert(hash_map_t_base_inv ntable'); - assert(hash_map_t_base_inv hm'); - assert(hash_map_t_len_s hm' = hash_map_t_len_s hm); - new_max_load_lem (hash_map_t_len_s hm') capacity divid divis; - assert(hash_map_t_len_s hm' <= hm'.hash_map_max_load); // Requires a lemma - assert(hash_map_t_inv hm') + assert(hashMap_t_base_inv ntable'); + assert(hashMap_t_base_inv hm'); + assert(hashMap_t_len_s hm' = hashMap_t_len_s hm); + new_max_load_lem (hashMap_t_len_s hm') capacity divid divis; + assert(hashMap_t_len_s hm' <= hm'.max_load); // Requires a lemma + assert(hashMap_t_inv hm') end else begin @@ -2422,203 +2422,203 @@ let hash_map_try_resize_s_simpl_lem #t hm = end #pop-options -let hash_map_t_same_bindings (#t : Type0) (hm hm' : hash_map_t_nes t) : Type0 = - forall (k:key). hash_map_t_find_s hm k == hash_map_t_find_s hm' k +let hashMap_t_same_bindings (#t : Type0) (hm hm' : hashMap_t_nes t) : Type0 = + forall (k:key). hashMap_t_find_s hm k == hashMap_t_find_s hm' k /// The final lemma about [try_resize] -val hash_map_try_resize_fwd_back_lem (#t : Type0) (hm : hash_map_t t) : +val hashMap_try_resize_lem (#t : Type0) (hm : hashMap_t t) : Lemma (requires ( - hash_map_t_base_inv hm /\ + hashMap_t_base_inv hm /\ // However, the "full" invariant is broken, as we call [try_resize] // only if the current number of entries is > the max load. // // There are two situations: // - either we just reached the max load // - or we were already saturated and can't resize - (let (dividend, divisor) = hm.hash_map_max_load_factor in - hm.hash_map_num_entries == hm.hash_map_max_load + 1 \/ - length hm.hash_map_slots * 2 * dividend > usize_max))) + (let (dividend, divisor) = hm.max_load_factor in + hm.num_entries == hm.max_load + 1 \/ + length hm.slots * 2 * dividend > usize_max))) (ensures ( - match hash_map_try_resize_fwd_back t hm with + match hashMap_try_resize t hm with | Fail _ -> False | Return hm' -> // The full invariant is now satisfied (the full invariant is "base // invariant" + the map is not overloaded (or can't be resized because // already too big) - hash_map_t_inv hm' /\ + hashMap_t_inv hm' /\ // The length is the same - hash_map_t_len_s hm' = hash_map_t_len_s hm /\ + hashMap_t_len_s hm' = hashMap_t_len_s hm /\ // It contains the same bindings as the initial map - hash_map_t_same_bindings hm' hm)) + hashMap_t_same_bindings hm' hm)) -let hash_map_try_resize_fwd_back_lem #t hm = - hash_map_try_resize_fwd_back_lem_refin t hm; - hash_map_try_resize_s_simpl_lem hm +let hashMap_try_resize_lem #t hm = + hashMap_try_resize_lem_refin t hm; + hashMap_try_resize_s_simpl_lem hm (*** insert *) /// The high-level model (very close to the original function: we don't need something /// very high level, just to clean it a bit) -let hash_map_insert_s - (#t : Type0) (self : hash_map_t t) (key : usize) (value : t) : - result (hash_map_t t) = - match hash_map_insert_no_resize_fwd_back t self key value with +let hashMap_insert_s + (#t : Type0) (self : hashMap_t t) (key : usize) (value : t) : + result (hashMap_t t) = + match hashMap_insert_no_resize t self key value with | Fail e -> Fail e | Return hm' -> - if hash_map_t_len_s hm' > hm'.hash_map_max_load then - hash_map_try_resize_fwd_back t hm' + if hashMap_t_len_s hm' > hm'.max_load then + hashMap_try_resize t hm' else Return hm' -val hash_map_insert_fwd_back_lem_refin - (t : Type0) (self : hash_map_t t) (key : usize) (value : t) : +val hashMap_insert_lem_refin + (t : Type0) (self : hashMap_t t) (key : usize) (value : t) : Lemma (requires True) (ensures ( - match hash_map_insert_fwd_back t self key value, - hash_map_insert_s self key value + match hashMap_insert t self key value, + hashMap_insert_s self key value with | Fail _, Fail _ -> True | Return hm1, Return hm2 -> hm1 == hm2 | _ -> False)) -let hash_map_insert_fwd_back_lem_refin t self key value = () +let hashMap_insert_lem_refin t self key value = () /// Helper -let hash_map_insert_fwd_back_bindings_lem - (t : Type0) (self : hash_map_t_nes t) (key : usize) (value : t) - (hm' hm'' : hash_map_t_nes t) : +let hashMap_insert_bindings_lem + (t : Type0) (self : hashMap_t_nes t) (key : usize) (value : t) + (hm' hm'' : hashMap_t_nes t) : Lemma (requires ( - hash_map_s_updated_binding (hash_map_t_v self) key - (Some value) (hash_map_t_v hm') /\ - hash_map_t_same_bindings hm' hm'')) + hashMap_s_updated_binding (hashMap_t_v self) key + (Some value) (hashMap_t_v hm') /\ + hashMap_t_same_bindings hm' hm'')) (ensures ( - hash_map_s_updated_binding (hash_map_t_v self) key - (Some value) (hash_map_t_v hm''))) + hashMap_s_updated_binding (hashMap_t_v self) key + (Some value) (hashMap_t_v hm''))) = () -val hash_map_insert_fwd_back_lem_aux - (#t : Type0) (self : hash_map_t t) (key : usize) (value : t) : - Lemma (requires (hash_map_t_inv self)) +val hashMap_insert_lem_aux + (#t : Type0) (self : hashMap_t t) (key : usize) (value : t) : + Lemma (requires (hashMap_t_inv self)) (ensures ( - match hash_map_insert_fwd_back t self key value with + match hashMap_insert t self key value with | Fail _ -> // We can fail only if: // - the key is not in the map and we need to add it // - we are already saturated - hash_map_t_len_s self = usize_max /\ - None? (hash_map_t_find_s self key) + hashMap_t_len_s self = usize_max /\ + None? (hashMap_t_find_s self key) | Return hm' -> // The invariant is preserved - hash_map_t_inv hm' /\ + hashMap_t_inv hm' /\ // [key] maps to [value] and the other bindings are preserved - hash_map_s_updated_binding (hash_map_t_v self) key (Some value) (hash_map_t_v hm') /\ + hashMap_s_updated_binding (hashMap_t_v self) key (Some value) (hashMap_t_v hm') /\ // The length is incremented, iff we inserted a new key - (match hash_map_t_find_s self key with - | None -> hash_map_t_len_s hm' = hash_map_t_len_s self + 1 - | Some _ -> hash_map_t_len_s hm' = hash_map_t_len_s self))) + (match hashMap_t_find_s self key with + | None -> hashMap_t_len_s hm' = hashMap_t_len_s self + 1 + | Some _ -> hashMap_t_len_s hm' = hashMap_t_len_s self))) #restart-solver #push-options "--z3rlimit 200" -let hash_map_insert_fwd_back_lem_aux #t self key value = - hash_map_insert_no_resize_fwd_back_lem_s t self key value; - hash_map_insert_no_resize_s_lem (hash_map_t_v self) key value; - match hash_map_insert_no_resize_fwd_back t self key value with +let hashMap_insert_lem_aux #t self key value = + hashMap_insert_no_resize_lem_s t self key value; + hashMap_insert_no_resize_s_lem (hashMap_t_v self) key value; + match hashMap_insert_no_resize t self key value with | Fail _ -> () | Return hm' -> - // Expanding the post of [hash_map_insert_no_resize_fwd_back_lem_s] - let self_v = hash_map_t_v self in - let hm'_v = Return?.v (hash_map_insert_no_resize_s self_v key value) in - assert(hash_map_t_base_inv hm'); - assert(hash_map_t_same_params hm' self); - assert(hash_map_t_v hm' == hm'_v); - assert(hash_map_s_len hm'_v == hash_map_t_len_s hm'); - // Expanding the post of [hash_map_insert_no_resize_s_lem] + // Expanding the post of [hashMap_insert_no_resize_lem_s] + let self_v = hashMap_t_v self in + let hm'_v = Return?.v (hashMap_insert_no_resize_s self_v key value) in + assert(hashMap_t_base_inv hm'); + assert(hashMap_t_same_params hm' self); + assert(hashMap_t_v hm' == hm'_v); + assert(hashMap_s_len hm'_v == hashMap_t_len_s hm'); + // Expanding the post of [hashMap_insert_no_resize_s_lem] assert(insert_post self_v key value hm'_v); // Expanding [insert_post] - assert(hash_map_s_inv hm'_v); + assert(hashMap_s_inv hm'_v); assert( - match hash_map_s_find self_v key with - | None -> hash_map_s_len hm'_v = hash_map_s_len self_v + 1 - | Some _ -> hash_map_s_len hm'_v = hash_map_s_len self_v); - if hash_map_t_len_s hm' > hm'.hash_map_max_load then + match hashMap_s_find self_v key with + | None -> hashMap_s_len hm'_v = hashMap_s_len self_v + 1 + | Some _ -> hashMap_s_len hm'_v = hashMap_s_len self_v); + if hashMap_t_len_s hm' > hm'.max_load then begin - hash_map_try_resize_fwd_back_lem hm'; - // Expanding the post of [hash_map_try_resize_fwd_back_lem] - let hm'' = Return?.v (hash_map_try_resize_fwd_back t hm') in - assert(hash_map_t_inv hm''); - let hm''_v = hash_map_t_v hm'' in - assert(forall k. hash_map_t_find_s hm'' k == hash_map_t_find_s hm' k); - assert(hash_map_t_len_s hm'' = hash_map_t_len_s hm'); // TODO + hashMap_try_resize_lem hm'; + // Expanding the post of [hashMap_try_resize_lem] + let hm'' = Return?.v (hashMap_try_resize t hm') in + assert(hashMap_t_inv hm''); + let hm''_v = hashMap_t_v hm'' in + assert(forall k. hashMap_t_find_s hm'' k == hashMap_t_find_s hm' k); + assert(hashMap_t_len_s hm'' = hashMap_t_len_s hm'); // TODO // Proving the post - assert(hash_map_t_inv hm''); - hash_map_insert_fwd_back_bindings_lem t self key value hm' hm''; + assert(hashMap_t_inv hm''); + hashMap_insert_bindings_lem t self key value hm' hm''; assert( - match hash_map_t_find_s self key with - | None -> hash_map_t_len_s hm'' = hash_map_t_len_s self + 1 - | Some _ -> hash_map_t_len_s hm'' = hash_map_t_len_s self) + match hashMap_t_find_s self key with + | None -> hashMap_t_len_s hm'' = hashMap_t_len_s self + 1 + | Some _ -> hashMap_t_len_s hm'' = hashMap_t_len_s self) end else () #pop-options -let hash_map_insert_fwd_back_lem #t self key value = - hash_map_insert_fwd_back_lem_aux #t self key value +let hashMap_insert_lem #t self key value = + hashMap_insert_lem_aux #t self key value (*** contains_key *) (**** contains_key_in_list *) -val hash_map_contains_key_in_list_fwd_lem +val hashMap_contains_key_in_list_lem (#t : Type0) (key : usize) (ls : list_t t) : Lemma (ensures ( - match hash_map_contains_key_in_list_fwd t key ls with + match hashMap_contains_key_in_list t key ls with | Fail _ -> False | Return b -> b = Some? (slot_t_find_s key ls))) #push-options "--fuel 1" -let rec hash_map_contains_key_in_list_fwd_lem #t key ls = +let rec hashMap_contains_key_in_list_lem #t key ls = match ls with - | ListCons ckey x ls0 -> + | List_Cons ckey x ls0 -> let b = ckey = key in if b then () else begin - hash_map_contains_key_in_list_fwd_lem key ls0; - match hash_map_contains_key_in_list_fwd t key ls0 with + hashMap_contains_key_in_list_lem key ls0; + match hashMap_contains_key_in_list t key ls0 with | Fail _ -> () | Return b0 -> () end - | ListNil -> () + | List_Nil -> () #pop-options (**** contains_key *) -val hash_map_contains_key_fwd_lem_aux - (#t : Type0) (self : hash_map_t_nes t) (key : usize) : +val hashMap_contains_key_lem_aux + (#t : Type0) (self : hashMap_t_nes t) (key : usize) : Lemma (ensures ( - match hash_map_contains_key_fwd t self key with + match hashMap_contains_key t self key with | Fail _ -> False - | Return b -> b = Some? (hash_map_t_find_s self key))) + | Return b -> b = Some? (hashMap_t_find_s self key))) -let hash_map_contains_key_fwd_lem_aux #t self key = - begin match hash_key_fwd key with +let hashMap_contains_key_lem_aux #t self key = + begin match hash_key key with | Fail _ -> () | Return i -> - let v = self.hash_map_slots in - let i0 = vec_len (list_t t) v in + let v = self.slots in + let i0 = alloc_vec_Vec_len (list_t t) v in begin match usize_rem i i0 with | Fail _ -> () | Return hash_mod -> - begin match vec_index_fwd (list_t t) v hash_mod with + begin match alloc_vec_Vec_index_usize v hash_mod with | Fail _ -> () | Return l -> - hash_map_contains_key_in_list_fwd_lem key l; - begin match hash_map_contains_key_in_list_fwd t key l with + hashMap_contains_key_in_list_lem key l; + begin match hashMap_contains_key_in_list t key l with | Fail _ -> () | Return b -> () end @@ -2627,66 +2627,66 @@ let hash_map_contains_key_fwd_lem_aux #t self key = end /// The lemma in the .fsti -let hash_map_contains_key_fwd_lem #t self key = - hash_map_contains_key_fwd_lem_aux #t self key +let hashMap_contains_key_lem #t self key = + hashMap_contains_key_lem_aux #t self key (*** get *) (**** get_in_list *) -val hash_map_get_in_list_fwd_lem +val hashMap_get_in_list_lem (#t : Type0) (key : usize) (ls : list_t t) : Lemma (ensures ( - match hash_map_get_in_list_fwd t key ls, slot_t_find_s key ls with + match hashMap_get_in_list t key ls, slot_t_find_s key ls with | Fail _, None -> True | Return x, Some x' -> x == x' | _ -> False)) #push-options "--fuel 1" -let rec hash_map_get_in_list_fwd_lem #t key ls = +let rec hashMap_get_in_list_lem #t key ls = begin match ls with - | ListCons ckey cvalue ls0 -> + | List_Cons ckey cvalue ls0 -> let b = ckey = key in if b then () else begin - hash_map_get_in_list_fwd_lem key ls0; - match hash_map_get_in_list_fwd t key ls0 with + hashMap_get_in_list_lem key ls0; + match hashMap_get_in_list t key ls0 with | Fail _ -> () | Return x -> () end - | ListNil -> () + | List_Nil -> () end #pop-options (**** get *) -val hash_map_get_fwd_lem_aux - (#t : Type0) (self : hash_map_t_nes t) (key : usize) : +val hashMap_get_lem_aux + (#t : Type0) (self : hashMap_t_nes t) (key : usize) : Lemma (ensures ( - match hash_map_get_fwd t self key, hash_map_t_find_s self key with + match hashMap_get t self key, hashMap_t_find_s self key with | Fail _, None -> True | Return x, Some x' -> x == x' | _ -> False)) -let hash_map_get_fwd_lem_aux #t self key = - begin match hash_key_fwd key with +let hashMap_get_lem_aux #t self key = + begin match hash_key key with | Fail _ -> () | Return i -> - let v = self.hash_map_slots in - let i0 = vec_len (list_t t) v in + let v = self.slots in + let i0 = alloc_vec_Vec_len (list_t t) v in begin match usize_rem i i0 with | Fail _ -> () | Return hash_mod -> - begin match vec_index_fwd (list_t t) v hash_mod with + begin match alloc_vec_Vec_index_usize v hash_mod with | Fail _ -> () | Return l -> begin - hash_map_get_in_list_fwd_lem key l; - match hash_map_get_in_list_fwd t key l with + hashMap_get_in_list_lem key l; + match hashMap_get_in_list t key l with | Fail _ -> () | Return x -> () end @@ -2695,66 +2695,66 @@ let hash_map_get_fwd_lem_aux #t self key = end /// .fsti -let hash_map_get_fwd_lem #t self key = hash_map_get_fwd_lem_aux #t self key +let hashMap_get_lem #t self key = hashMap_get_lem_aux #t self key (*** get_mut'fwd *) (**** get_mut_in_list'fwd *) -val hash_map_get_mut_in_list_loop_fwd_lem +val hashMap_get_mut_in_list_loop_lem (#t : Type0) (ls : list_t t) (key : usize) : Lemma (ensures ( - match hash_map_get_mut_in_list_loop_fwd t ls key, slot_t_find_s key ls with + match hashMap_get_mut_in_list_loop t ls key, slot_t_find_s key ls with | Fail _, None -> True | Return x, Some x' -> x == x' | _ -> False)) #push-options "--fuel 1" -let rec hash_map_get_mut_in_list_loop_fwd_lem #t ls key = +let rec hashMap_get_mut_in_list_loop_lem #t ls key = begin match ls with - | ListCons ckey cvalue ls0 -> + | List_Cons ckey cvalue ls0 -> let b = ckey = key in if b then () else begin - hash_map_get_mut_in_list_loop_fwd_lem ls0 key; - match hash_map_get_mut_in_list_loop_fwd t ls0 key with + hashMap_get_mut_in_list_loop_lem ls0 key; + match hashMap_get_mut_in_list_loop t ls0 key with | Fail _ -> () | Return x -> () end - | ListNil -> () + | List_Nil -> () end #pop-options (**** get_mut'fwd *) -val hash_map_get_mut_fwd_lem_aux - (#t : Type0) (self : hash_map_t_nes t) (key : usize) : +val hashMap_get_mut_lem_aux + (#t : Type0) (self : hashMap_t_nes t) (key : usize) : Lemma (ensures ( - match hash_map_get_mut_fwd t self key, hash_map_t_find_s self key with + match hashMap_get_mut t self key, hashMap_t_find_s self key with | Fail _, None -> True | Return x, Some x' -> x == x' | _ -> False)) -let hash_map_get_mut_fwd_lem_aux #t self key = - begin match hash_key_fwd key with +let hashMap_get_mut_lem_aux #t self key = + begin match hash_key key with | Fail _ -> () | Return i -> - let v = self.hash_map_slots in - let i0 = vec_len (list_t t) v in + let v = self.slots in + let i0 = alloc_vec_Vec_len (list_t t) v in begin match usize_rem i i0 with | Fail _ -> () | Return hash_mod -> - begin match vec_index_fwd (list_t t) v hash_mod with + begin match alloc_vec_Vec_index_usize v hash_mod with | Fail _ -> () | Return l -> begin - hash_map_get_mut_in_list_loop_fwd_lem l key; - match hash_map_get_mut_in_list_loop_fwd t l key with + hashMap_get_mut_in_list_loop_lem l key; + match hashMap_get_mut_in_list_loop t l key with | Fail _ -> () | Return x -> () end @@ -2762,78 +2762,78 @@ let hash_map_get_mut_fwd_lem_aux #t self key = end end -let hash_map_get_mut_fwd_lem #t self key = - hash_map_get_mut_fwd_lem_aux #t self key +let hashMap_get_mut_lem #t self key = + hashMap_get_mut_lem_aux #t self key (*** get_mut'back *) (**** get_mut_in_list'back *) -val hash_map_get_mut_in_list_loop_back_lem +val hashMap_get_mut_in_list_loop_back_lem (#t : Type0) (ls : list_t t) (key : usize) (ret : t) : Lemma (requires (Some? (slot_t_find_s key ls))) (ensures ( - match hash_map_get_mut_in_list_loop_back t ls key ret with + match hashMap_get_mut_in_list_loop_back t ls key ret with | Fail _ -> False | Return ls' -> list_t_v ls' == find_update (same_key key) (list_t_v ls) (key,ret) | _ -> False)) #push-options "--fuel 1" -let rec hash_map_get_mut_in_list_loop_back_lem #t ls key ret = +let rec hashMap_get_mut_in_list_loop_back_lem #t ls key ret = begin match ls with - | ListCons ckey cvalue ls0 -> + | List_Cons ckey cvalue ls0 -> let b = ckey = key in if b - then let ls1 = ListCons ckey ret ls0 in () + then let ls1 = List_Cons ckey ret ls0 in () else begin - hash_map_get_mut_in_list_loop_back_lem ls0 key ret; - match hash_map_get_mut_in_list_loop_back t ls0 key ret with + hashMap_get_mut_in_list_loop_back_lem ls0 key ret; + match hashMap_get_mut_in_list_loop_back t ls0 key ret with | Fail _ -> () - | Return l -> let ls1 = ListCons ckey cvalue l in () + | Return l -> let ls1 = List_Cons ckey cvalue l in () end - | ListNil -> () + | List_Nil -> () end #pop-options (**** get_mut'back *) /// Refinement lemma -val hash_map_get_mut_back_lem_refin - (#t : Type0) (self : hash_map_t t{length self.hash_map_slots > 0}) +val hashMap_get_mut_back_lem_refin + (#t : Type0) (self : hashMap_t t{length self.slots > 0}) (key : usize) (ret : t) : Lemma - (requires (Some? (hash_map_t_find_s self key))) + (requires (Some? (hashMap_t_find_s self key))) (ensures ( - match hash_map_get_mut_back t self key ret with + match hashMap_get_mut_back t self key ret with | Fail _ -> False | Return hm' -> - hash_map_t_v hm' == hash_map_insert_no_fail_s (hash_map_t_v self) key ret)) + hashMap_t_v hm' == hashMap_insert_no_fail_s (hashMap_t_v self) key ret)) -let hash_map_get_mut_back_lem_refin #t self key ret = - begin match hash_key_fwd key with +let hashMap_get_mut_back_lem_refin #t self key ret = + begin match hash_key key with | Fail _ -> () | Return i -> - let i0 = self.hash_map_num_entries in - let p = self.hash_map_max_load_factor in - let i1 = self.hash_map_max_load in - let v = self.hash_map_slots in - let i2 = vec_len (list_t t) v in + let i0 = self.num_entries in + let p = self.max_load_factor in + let i1 = self.max_load in + let v = self.slots in + let i2 = alloc_vec_Vec_len (list_t t) v in begin match usize_rem i i2 with | Fail _ -> () | Return hash_mod -> - begin match vec_index_mut_fwd (list_t t) v hash_mod with + begin match alloc_vec_Vec_index_usize v hash_mod with | Fail _ -> () | Return l -> begin - hash_map_get_mut_in_list_loop_back_lem l key ret; - match hash_map_get_mut_in_list_loop_back t l key ret with + hashMap_get_mut_in_list_loop_back_lem l key ret; + match hashMap_get_mut_in_list_loop_back t l key ret with | Fail _ -> () | Return l0 -> - begin match vec_index_mut_back (list_t t) v hash_mod l0 with + begin match alloc_vec_Vec_update_usize v hash_mod l0 with | Fail _ -> () - | Return v0 -> let self0 = Mkhash_map_t i0 p i1 v0 in () + | Return v0 -> let self0 = MkhashMap_t i0 p i1 v0 in () end end end @@ -2841,102 +2841,102 @@ let hash_map_get_mut_back_lem_refin #t self key ret = end /// Final lemma -val hash_map_get_mut_back_lem_aux - (#t : Type0) (hm : hash_map_t t) +val hashMap_get_mut_back_lem_aux + (#t : Type0) (hm : hashMap_t t) (key : usize) (ret : t) : Lemma (requires ( - hash_map_t_inv hm /\ - Some? (hash_map_t_find_s hm key))) + hashMap_t_inv hm /\ + Some? (hashMap_t_find_s hm key))) (ensures ( - match hash_map_get_mut_back t hm key ret with + match hashMap_get_mut_back t hm key ret with | Fail _ -> False | Return hm' -> // Functional spec - hash_map_t_v hm' == hash_map_insert_no_fail_s (hash_map_t_v hm) key ret /\ + hashMap_t_v hm' == hashMap_insert_no_fail_s (hashMap_t_v hm) key ret /\ // The invariant is preserved - hash_map_t_inv hm' /\ + hashMap_t_inv hm' /\ // The length is preserved - hash_map_t_len_s hm' = hash_map_t_len_s hm /\ + hashMap_t_len_s hm' = hashMap_t_len_s hm /\ // [key] maps to [value] - hash_map_t_find_s hm' key == Some ret /\ + hashMap_t_find_s hm' key == Some ret /\ // The other bindings are preserved - (forall k'. k' <> key ==> hash_map_t_find_s hm' k' == hash_map_t_find_s hm k'))) + (forall k'. k' <> key ==> hashMap_t_find_s hm' k' == hashMap_t_find_s hm k'))) -let hash_map_get_mut_back_lem_aux #t hm key ret = - let hm_v = hash_map_t_v hm in - hash_map_get_mut_back_lem_refin hm key ret; - match hash_map_get_mut_back t hm key ret with +let hashMap_get_mut_back_lem_aux #t hm key ret = + let hm_v = hashMap_t_v hm in + hashMap_get_mut_back_lem_refin hm key ret; + match hashMap_get_mut_back t hm key ret with | Fail _ -> assert(False) | Return hm' -> - hash_map_insert_no_fail_s_lem hm_v key ret + hashMap_insert_no_fail_s_lem hm_v key ret /// .fsti -let hash_map_get_mut_back_lem #t hm key ret = hash_map_get_mut_back_lem_aux hm key ret +let hashMap_get_mut_back_lem #t hm key ret = hashMap_get_mut_back_lem_aux hm key ret (*** remove'fwd *) -val hash_map_remove_from_list_fwd_lem +val hashMap_remove_from_list_lem (#t : Type0) (key : usize) (ls : list_t t) : Lemma (ensures ( - match hash_map_remove_from_list_fwd t key ls with + match hashMap_remove_from_list t key ls with | Fail _ -> False | Return opt_x -> opt_x == slot_t_find_s key ls /\ (Some? opt_x ==> length (slot_t_v ls) > 0))) #push-options "--fuel 1" -let rec hash_map_remove_from_list_fwd_lem #t key ls = +let rec hashMap_remove_from_list_lem #t key ls = begin match ls with - | ListCons ckey x tl -> + | List_Cons ckey x tl -> let b = ckey = key in if b then - let mv_ls = mem_replace_fwd (list_t t) (ListCons ckey x tl) ListNil in + let mv_ls = core_mem_replace (list_t t) (List_Cons ckey x tl) List_Nil in begin match mv_ls with - | ListCons i cvalue tl0 -> () - | ListNil -> () + | List_Cons i cvalue tl0 -> () + | List_Nil -> () end else begin - hash_map_remove_from_list_fwd_lem key tl; - match hash_map_remove_from_list_fwd t key tl with + hashMap_remove_from_list_lem key tl; + match hashMap_remove_from_list t key tl with | Fail _ -> () | Return opt -> () end - | ListNil -> () + | List_Nil -> () end #pop-options -val hash_map_remove_fwd_lem_aux - (#t : Type0) (self : hash_map_t t) (key : usize) : +val hashMap_remove_lem_aux + (#t : Type0) (self : hashMap_t t) (key : usize) : Lemma (requires ( // We need the invariant to prove that upon decrementing the entries counter, // the counter doesn't become negative - hash_map_t_inv self)) + hashMap_t_inv self)) (ensures ( - match hash_map_remove_fwd t self key with + match hashMap_remove t self key with | Fail _ -> False - | Return opt_x -> opt_x == hash_map_t_find_s self key)) + | Return opt_x -> opt_x == hashMap_t_find_s self key)) -let hash_map_remove_fwd_lem_aux #t self key = - begin match hash_key_fwd key with +let hashMap_remove_lem_aux #t self key = + begin match hash_key key with | Fail _ -> () | Return i -> - let i0 = self.hash_map_num_entries in - let v = self.hash_map_slots in - let i1 = vec_len (list_t t) v in + let i0 = self.num_entries in + let v = self.slots in + let i1 = alloc_vec_Vec_len (list_t t) v in begin match usize_rem i i1 with | Fail _ -> () | Return hash_mod -> - begin match vec_index_mut_fwd (list_t t) v hash_mod with + begin match alloc_vec_Vec_index_usize v hash_mod with | Fail _ -> () | Return l -> begin - hash_map_remove_from_list_fwd_lem key l; - match hash_map_remove_from_list_fwd t key l with + hashMap_remove_from_list_lem key l; + match hashMap_remove_from_list t key l with | Fail _ -> () | Return x -> begin match x with @@ -2945,7 +2945,7 @@ let hash_map_remove_fwd_lem_aux #t self key = begin assert(l == index v hash_mod); assert(length (list_t_v #t l) > 0); - length_flatten_index (hash_map_t_v self) hash_mod; + length_flatten_index (hashMap_t_v self) hash_mod; match usize_sub i0 1 with | Fail _ -> () | Return _ -> () @@ -2957,27 +2957,27 @@ let hash_map_remove_fwd_lem_aux #t self key = end /// .fsti -let hash_map_remove_fwd_lem #t self key = hash_map_remove_fwd_lem_aux #t self key +let hashMap_remove_lem #t self key = hashMap_remove_lem_aux #t self key (*** remove'back *) (**** Refinement proofs *) /// High-level model for [remove_from_list'back] -let hash_map_remove_from_list_s +let hashMap_remove_from_list_s (#t : Type0) (key : usize) (ls : slot_s t) : slot_s t = filter_one (not_same_key key) ls /// Refinement lemma -val hash_map_remove_from_list_back_lem_refin +val hashMap_remove_from_list_back_lem_refin (#t : Type0) (key : usize) (ls : list_t t) : Lemma (ensures ( - match hash_map_remove_from_list_back t key ls with + match hashMap_remove_from_list_back t key ls with | Fail _ -> False | Return ls' -> - list_t_v ls' == hash_map_remove_from_list_s key (list_t_v ls) /\ + list_t_v ls' == hashMap_remove_from_list_s key (list_t_v ls) /\ // The length is decremented, iff the key was in the slot (let len = length (list_t_v ls) in let len' = length (list_t_v ls') in @@ -2986,89 +2986,89 @@ val hash_map_remove_from_list_back_lem_refin | Some _ -> len = len' + 1))) #push-options "--fuel 1" -let rec hash_map_remove_from_list_back_lem_refin #t key ls = +let rec hashMap_remove_from_list_back_lem_refin #t key ls = begin match ls with - | ListCons ckey x tl -> + | List_Cons ckey x tl -> let b = ckey = key in if b then - let mv_ls = mem_replace_fwd (list_t t) (ListCons ckey x tl) ListNil in + let mv_ls = core_mem_replace (list_t t) (List_Cons ckey x tl) List_Nil in begin match mv_ls with - | ListCons i cvalue tl0 -> () - | ListNil -> () + | List_Cons i cvalue tl0 -> () + | List_Nil -> () end else begin - hash_map_remove_from_list_back_lem_refin key tl; - match hash_map_remove_from_list_back t key tl with + hashMap_remove_from_list_back_lem_refin key tl; + match hashMap_remove_from_list_back t key tl with | Fail _ -> () - | Return l -> let ls0 = ListCons ckey x l in () + | Return l -> let ls0 = List_Cons ckey x l in () end - | ListNil -> () + | List_Nil -> () end #pop-options /// High-level model for [remove_from_list'back] -let hash_map_remove_s - (#t : Type0) (self : hash_map_s_nes t) (key : usize) : - hash_map_s t = +let hashMap_remove_s + (#t : Type0) (self : hashMap_s_nes t) (key : usize) : + hashMap_s t = let len = length self in let hash = hash_mod_key key len in let slot = index self hash in - let slot' = hash_map_remove_from_list_s key slot in + let slot' = hashMap_remove_from_list_s key slot in list_update self hash slot' /// Refinement lemma -val hash_map_remove_back_lem_refin - (#t : Type0) (self : hash_map_t_nes t) (key : usize) : +val hashMap_remove_back_lem_refin + (#t : Type0) (self : hashMap_t_nes t) (key : usize) : Lemma (requires ( // We need the invariant to prove that upon decrementing the entries counter, // the counter doesn't become negative - hash_map_t_inv self)) + hashMap_t_inv self)) (ensures ( - match hash_map_remove_back t self key with + match hashMap_remove_back t self key with | Fail _ -> False | Return hm' -> - hash_map_t_same_params hm' self /\ - hash_map_t_v hm' == hash_map_remove_s (hash_map_t_v self) key /\ + hashMap_t_same_params hm' self /\ + hashMap_t_v hm' == hashMap_remove_s (hashMap_t_v self) key /\ // The length is decremented iff the key was in the map - (let len = hash_map_t_len_s self in - let len' = hash_map_t_len_s hm' in - match hash_map_t_find_s self key with + (let len = hashMap_t_len_s self in + let len' = hashMap_t_len_s hm' in + match hashMap_t_find_s self key with | None -> len = len' | Some _ -> len = len' + 1))) -let hash_map_remove_back_lem_refin #t self key = - begin match hash_key_fwd key with +let hashMap_remove_back_lem_refin #t self key = + begin match hash_key key with | Fail _ -> () | Return i -> - let i0 = self.hash_map_num_entries in - let p = self.hash_map_max_load_factor in - let i1 = self.hash_map_max_load in - let v = self.hash_map_slots in - let i2 = vec_len (list_t t) v in + let i0 = self.num_entries in + let p = self.max_load_factor in + let i1 = self.max_load in + let v = self.slots in + let i2 = alloc_vec_Vec_len (list_t t) v in begin match usize_rem i i2 with | Fail _ -> () | Return hash_mod -> - begin match vec_index_mut_fwd (list_t t) v hash_mod with + begin match alloc_vec_Vec_index_usize v hash_mod with | Fail _ -> () | Return l -> begin - hash_map_remove_from_list_fwd_lem key l; - match hash_map_remove_from_list_fwd t key l with + hashMap_remove_from_list_lem key l; + match hashMap_remove_from_list t key l with | Fail _ -> () | Return x -> begin match x with | None -> begin - hash_map_remove_from_list_back_lem_refin key l; - match hash_map_remove_from_list_back t key l with + hashMap_remove_from_list_back_lem_refin key l; + match hashMap_remove_from_list_back t key l with | Fail _ -> () | Return l0 -> begin length_flatten_update (slots_t_v v) hash_mod (list_t_v l0); - match vec_index_mut_back (list_t t) v hash_mod l0 with + match alloc_vec_Vec_update_usize v hash_mod l0 with | Fail _ -> () | Return v0 -> () end @@ -3077,18 +3077,18 @@ let hash_map_remove_back_lem_refin #t self key = begin assert(l == index v hash_mod); assert(length (list_t_v #t l) > 0); - length_flatten_index (hash_map_t_v self) hash_mod; + length_flatten_index (hashMap_t_v self) hash_mod; match usize_sub i0 1 with | Fail _ -> () | Return i3 -> begin - hash_map_remove_from_list_back_lem_refin key l; - match hash_map_remove_from_list_back t key l with + hashMap_remove_from_list_back_lem_refin key l; + match hashMap_remove_from_list_back t key l with | Fail _ -> () | Return l0 -> begin length_flatten_update (slots_t_v v) hash_mod (list_t_v l0); - match vec_index_mut_back (list_t t) v hash_mod l0 with + match alloc_vec_Vec_update_usize v hash_mod l0 with | Fail _ -> () | Return v0 -> () end @@ -3102,12 +3102,12 @@ let hash_map_remove_back_lem_refin #t self key = (**** Invariants, high-level properties *) -val hash_map_remove_from_list_s_lem +val hashMap_remove_from_list_s_lem (#t : Type0) (k : usize) (slot : slot_s t) (len : usize{len > 0}) (i : usize) : Lemma (requires (slot_s_inv len i slot)) (ensures ( - let slot' = hash_map_remove_from_list_s k slot in + let slot' = hashMap_remove_from_list_s k slot in slot_s_inv len i slot' /\ slot_s_find k slot' == None /\ (forall (k':key{k' <> k}). slot_s_find k' slot' == slot_s_find k' slot) /\ @@ -3117,14 +3117,14 @@ val hash_map_remove_from_list_s_lem )) #push-options "--fuel 1" -let rec hash_map_remove_from_list_s_lem #t key slot len i = +let rec hashMap_remove_from_list_s_lem #t key slot len i = match slot with | [] -> () | (k',v) :: slot' -> if k' <> key then begin - hash_map_remove_from_list_s_lem key slot' len i; - let slot'' = hash_map_remove_from_list_s key slot' in + hashMap_remove_from_list_s_lem key slot' len i; + let slot'' = hashMap_remove_from_list_s key slot' in assert(for_all (same_hash_mod_key len i) ((k',v)::slot'')); assert(for_all (binding_neq (k',v)) slot'); // Triggers instanciation assert(for_all (binding_neq (k',v)) slot'') @@ -3136,51 +3136,51 @@ let rec hash_map_remove_from_list_s_lem #t key slot len i = end #pop-options -val hash_map_remove_s_lem - (#t : Type0) (self : hash_map_s_nes t) (key : usize) : +val hashMap_remove_s_lem + (#t : Type0) (self : hashMap_s_nes t) (key : usize) : Lemma - (requires (hash_map_s_inv self)) + (requires (hashMap_s_inv self)) (ensures ( - let hm' = hash_map_remove_s self key in + let hm' = hashMap_remove_s self key in // The invariant is preserved - hash_map_s_inv hm' /\ + hashMap_s_inv hm' /\ // We updated the binding - hash_map_s_updated_binding self key None hm')) + hashMap_s_updated_binding self key None hm')) -let hash_map_remove_s_lem #t self key = +let hashMap_remove_s_lem #t self key = let len = length self in let hash = hash_mod_key key len in let slot = index self hash in - hash_map_remove_from_list_s_lem key slot len hash; - let slot' = hash_map_remove_from_list_s key slot in + hashMap_remove_from_list_s_lem key slot len hash; + let slot' = hashMap_remove_from_list_s key slot in let hm' = list_update self hash slot' in - assert(hash_map_s_inv self) + assert(hashMap_s_inv self) /// Final lemma about [remove'back] -val hash_map_remove_back_lem_aux - (#t : Type0) (self : hash_map_t t) (key : usize) : +val hashMap_remove_back_lem_aux + (#t : Type0) (self : hashMap_t t) (key : usize) : Lemma - (requires (hash_map_t_inv self)) + (requires (hashMap_t_inv self)) (ensures ( - match hash_map_remove_back t self key with + match hashMap_remove_back t self key with | Fail _ -> False | Return hm' -> - hash_map_t_inv self /\ - hash_map_t_same_params hm' self /\ + hashMap_t_inv self /\ + hashMap_t_same_params hm' self /\ // We updated the binding - hash_map_s_updated_binding (hash_map_t_v self) key None (hash_map_t_v hm') /\ - hash_map_t_v hm' == hash_map_remove_s (hash_map_t_v self) key /\ + hashMap_s_updated_binding (hashMap_t_v self) key None (hashMap_t_v hm') /\ + hashMap_t_v hm' == hashMap_remove_s (hashMap_t_v self) key /\ // The length is decremented iff the key was in the map - (let len = hash_map_t_len_s self in - let len' = hash_map_t_len_s hm' in - match hash_map_t_find_s self key with + (let len = hashMap_t_len_s self in + let len' = hashMap_t_len_s hm' in + match hashMap_t_find_s self key with | None -> len = len' | Some _ -> len = len' + 1))) -let hash_map_remove_back_lem_aux #t self key = - hash_map_remove_back_lem_refin self key; - hash_map_remove_s_lem (hash_map_t_v self) key +let hashMap_remove_back_lem_aux #t self key = + hashMap_remove_back_lem_refin self key; + hashMap_remove_s_lem (hashMap_t_v self) key /// .fsti -let hash_map_remove_back_lem #t self key = - hash_map_remove_back_lem_aux #t self key +let hashMap_remove_back_lem #t self key = + hashMap_remove_back_lem_aux #t self key diff --git a/tests/fstar/hashmap/Hashmap.Properties.fsti b/tests/fstar/hashmap/Hashmap.Properties.fsti index 0a4f0134..26c0ec06 100644 --- a/tests/fstar/hashmap/Hashmap.Properties.fsti +++ b/tests/fstar/hashmap/Hashmap.Properties.fsti @@ -18,11 +18,11 @@ type key : eqtype = usize type hash : eqtype = usize -val hash_map_t_inv (#t : Type0) (hm : hash_map_t t) : Type0 +val hashMap_t_inv (#t : Type0) (hm : hashMap_t t) : Type0 -val len_s (#t : Type0) (hm : hash_map_t t) : nat +val len_s (#t : Type0) (hm : hashMap_t t) : nat -val find_s (#t : Type0) (hm : hash_map_t t) (k : key) : option t +val find_s (#t : Type0) (hm : hashMap_t t) (k : key) : option t (*** Overloading *) @@ -32,16 +32,16 @@ val find_s (#t : Type0) (hm : hash_map_t t) (k : key) : option t /// limiting the hash collisions. /// This is expressed by the following property, which is maintained in the hash /// map invariant. -val hash_map_not_overloaded_lem (#t : Type0) (hm : hash_map_t t) : +val hashMap_not_overloaded_lem (#t : Type0) (hm : hashMap_t t) : Lemma - (requires (hash_map_t_inv hm)) + (requires (hashMap_t_inv hm)) (ensures ( // The capacity is the number of slots - let capacity = length hm.hash_map_slots in + let capacity = length hm.slots in // The max load factor defines a threshold on the number of entries: // if there are more entries than a given fraction of the number of slots, // we resize the slots vector to limit the hash collisions - let (dividend, divisor) = hm.hash_map_max_load_factor in + let (dividend, divisor) = hm.max_load_factor in // technicality: this postcondition won't typecheck if we don't reveal // that divisor > 0 (because of the division) divisor > 0 /\ @@ -63,14 +63,14 @@ val hash_map_not_overloaded_lem (#t : Type0) (hm : hash_map_t t) : (**** [new'fwd] *) /// [new] doesn't fail and returns an empty hash map -val hash_map_new_fwd_lem (t : Type0) : +val hashMap_new_lem (t : Type0) : Lemma (ensures ( - match hash_map_new_fwd t with + match hashMap_new t with | Fail _ -> False | Return hm -> // The hash map invariant is satisfied - hash_map_t_inv hm /\ + hashMap_t_inv hm /\ // The hash map has a length of 0 len_s hm = 0 /\ // It contains no bindings @@ -79,16 +79,16 @@ val hash_map_new_fwd_lem (t : Type0) : (**** [clear] *) /// [clear] doesn't fail and turns the hash map into an empty map -val hash_map_clear_fwd_back_lem - (#t : Type0) (self : hash_map_t t) : +val hashMap_clear_lem + (#t : Type0) (self : hashMap_t t) : Lemma - (requires (hash_map_t_inv self)) + (requires (hashMap_t_inv self)) (ensures ( - match hash_map_clear_fwd_back t self with + match hashMap_clear t self with | Fail _ -> False | Return hm -> // The hash map invariant is satisfied - hash_map_t_inv hm /\ + hashMap_t_inv hm /\ // The hash map has a length of 0 len_s hm = 0 /\ // It contains no bindings @@ -97,11 +97,11 @@ val hash_map_clear_fwd_back_lem (**** [len] *) /// [len] can't fail and returns the length (the number of elements) of the hash map -val hash_map_len_fwd_lem (#t : Type0) (self : hash_map_t t) : +val hashMap_len_lem (#t : Type0) (self : hashMap_t t) : Lemma - (requires (hash_map_t_inv self)) + (requires (hashMap_t_inv self)) (ensures ( - match hash_map_len_fwd t self with + match hashMap_len t self with | Fail _ -> False | Return l -> l = len_s self)) @@ -114,12 +114,12 @@ val hash_map_len_fwd_lem (#t : Type0) (self : hash_map_t t) : /// entirely encompassed by the effect of the backward function alone). /// /// [insert'fwd_back] simply inserts a binding. -val hash_map_insert_fwd_back_lem - (#t : Type0) (self : hash_map_t t) (key : usize) (value : t) : +val hashMap_insert_lem + (#t : Type0) (self : hashMap_t t) (key : usize) (value : t) : Lemma - (requires (hash_map_t_inv self)) + (requires (hashMap_t_inv self)) (ensures ( - match hash_map_insert_fwd_back t self key value with + match hashMap_insert t self key value with | Fail _ -> // We can fail only if: // - the key is not in the map and we thus need to add it @@ -128,7 +128,7 @@ val hash_map_insert_fwd_back_lem len_s self = usize_max | Return hm' -> // The invariant is preserved - hash_map_t_inv hm' /\ + hashMap_t_inv hm' /\ // [key] maps to [value] find_s hm' key == Some value /\ // The other bindings are preserved @@ -145,24 +145,24 @@ val hash_map_insert_fwd_back_lem /// [contains_key'fwd] can't fail and returns `true` if and only if there is /// a binding for key [key] -val hash_map_contains_key_fwd_lem - (#t : Type0) (self : hash_map_t t) (key : usize) : +val hashMap_contains_key_lem + (#t : Type0) (self : hashMap_t t) (key : usize) : Lemma - (requires (hash_map_t_inv self)) + (requires (hashMap_t_inv self)) (ensures ( - match hash_map_contains_key_fwd t self key with + match hashMap_contains_key t self key with | Fail _ -> False | Return b -> b = Some? (find_s self key))) (**** [get'fwd] *) /// [get] returns (a shared borrow to) the binding for key [key] -val hash_map_get_fwd_lem - (#t : Type0) (self : hash_map_t t) (key : usize) : +val hashMap_get_lem + (#t : Type0) (self : hashMap_t t) (key : usize) : Lemma - (requires (hash_map_t_inv self)) + (requires (hashMap_t_inv self)) (ensures ( - match hash_map_get_fwd t self key, find_s self key with + match hashMap_get t self key, find_s self key with | Fail _, None -> True | Return x, Some x' -> x == x' | _ -> False)) @@ -175,12 +175,12 @@ val hash_map_get_fwd_lem /// in Rust, which gives the possibility of modifying this element in place. Then, /// upon ending the borrow, the effect of the modification is modelled in the /// translation through a call to the backward function. -val hash_map_get_mut_fwd_lem - (#t : Type0) (self : hash_map_t t) (key : usize) : +val hashMap_get_mut_lem + (#t : Type0) (self : hashMap_t t) (key : usize) : Lemma - (requires (hash_map_t_inv self)) + (requires (hashMap_t_inv self)) (ensures ( - match hash_map_get_mut_fwd t self key, find_s self key with + match hashMap_get_mut t self key, find_s self key with | Fail _, None -> True | Return x, Some x' -> x == x' | _ -> False)) @@ -192,11 +192,11 @@ val hash_map_get_mut_fwd_lem /// A call to [get_mut'back] must follow a call to [get_mut'fwd], which gives /// us that there must be a binding for key [key] in the map (otherwise we /// can't prove the absence of failure). -val hash_map_get_mut_back_lem - (#t : Type0) (hm : hash_map_t t) (key : usize) (ret : t) : +val hashMap_get_mut_back_lem + (#t : Type0) (hm : hashMap_t t) (key : usize) (ret : t) : Lemma (requires ( - hash_map_t_inv hm /\ + hashMap_t_inv hm /\ // A call to the backward function must follow a call to the forward // function, whose success gives us that there is a binding for the key. // In the case of *forward* functions, "success" has to be understood as @@ -207,14 +207,14 @@ val hash_map_get_mut_back_lem // "failure" is to be understood as the semantics getting stuck. // This is of course true unless we filtered the call to the forward function // because its effect is encompassed by the backward function, as with - // [hash_map_clear_fwd_back]). + // [hashMap_clear]). Some? (find_s hm key))) (ensures ( - match hash_map_get_mut_back t hm key ret with + match hashMap_get_mut_back t hm key ret with | Fail _ -> False // Can't fail | Return hm' -> // The invariant is preserved - hash_map_t_inv hm' /\ + hashMap_t_inv hm' /\ // The length is preserved len_s hm' = len_s hm /\ // [key] maps to the update value, [ret] @@ -228,12 +228,12 @@ val hash_map_get_mut_back_lem /// (the rust function *moves* it out of the map). Note that the effect of the update /// on the map is modelles through the call to [remove'back] ([remove] takes a /// mutable borrow to the hash map as parameter). -val hash_map_remove_fwd_lem - (#t : Type0) (self : hash_map_t t) (key : usize) : +val hashMap_remove_lem + (#t : Type0) (self : hashMap_t t) (key : usize) : Lemma - (requires (hash_map_t_inv self)) + (requires (hashMap_t_inv self)) (ensures ( - match hash_map_remove_fwd t self key with + match hashMap_remove t self key with | Fail _ -> False | Return opt_x -> opt_x == find_s self key)) @@ -243,16 +243,16 @@ val hash_map_remove_fwd_lem /// The hash map given as parameter to [remove] is given through a mutable borrow: /// hence the backward function which gives back the updated map, without the /// binding. -val hash_map_remove_back_lem - (#t : Type0) (self : hash_map_t t) (key : usize) : +val hashMap_remove_back_lem + (#t : Type0) (self : hashMap_t t) (key : usize) : Lemma - (requires (hash_map_t_inv self)) + (requires (hashMap_t_inv self)) (ensures ( - match hash_map_remove_back t self key with + match hashMap_remove_back t self key with | Fail _ -> False | Return hm' -> // The invariant is preserved - hash_map_t_inv self /\ + hashMap_t_inv self /\ // The binding for [key] is not there anymore find_s hm' key == None /\ // The other bindings are preserved diff --git a/tests/fstar/hashmap/Hashmap.Types.fst b/tests/fstar/hashmap/Hashmap.Types.fst index 91ee26c6..753730fe 100644 --- a/tests/fstar/hashmap/Hashmap.Types.fst +++ b/tests/fstar/hashmap/Hashmap.Types.fst @@ -7,15 +7,15 @@ open Primitives (** [hashmap::List] *) type list_t (t : Type0) = -| ListCons : usize -> t -> list_t t -> list_t t -| ListNil : list_t t +| List_Cons : usize -> t -> list_t t -> list_t t +| List_Nil : list_t t (** [hashmap::HashMap] *) -type hash_map_t (t : Type0) = +type hashMap_t (t : Type0) = { - hash_map_num_entries : usize; - hash_map_max_load_factor : (usize & usize); - hash_map_max_load : usize; - hash_map_slots : vec (list_t t); + num_entries : usize; + max_load_factor : (usize & usize); + max_load : usize; + slots : alloc_vec_Vec (list_t t); } diff --git a/tests/fstar/hashmap/Primitives.fst b/tests/fstar/hashmap/Primitives.fst index 9db82069..3297803c 100644 --- a/tests/fstar/hashmap/Primitives.fst +++ b/tests/fstar/hashmap/Primitives.fst @@ -55,8 +55,12 @@ type string = string let is_zero (n: nat) : bool = n = 0 let decrease (n: nat{n > 0}) : nat = n - 1 -let mem_replace_fwd (a : Type0) (x : a) (y : a) : a = x -let mem_replace_back (a : Type0) (x : a) (y : a) : a = y +let core_mem_replace (a : Type0) (x : a) (y : a) : a = x +let core_mem_replace_back (a : Type0) (x : a) (y : a) : a = y + +// 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 @@ -100,6 +104,11 @@ type scalar_ty = | 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 @@ -162,6 +171,15 @@ let scalar_sub (#ty : scalar_ty) (x : scalar ty) (y : scalar ty) : result (scala let scalar_mul (#ty : scalar_ty) (x : scalar ty) (y : scalar ty) : result (scalar ty) = mk_scalar ty (x * y) +let scalar_lxor (#ty : scalar_ty { is_unsigned ty && ty <> Usize }) + (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 + (** 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) = @@ -169,17 +187,44 @@ let scalar_cast (src_ty : scalar_ty) (tgt_ty : scalar_ty) (x : scalar src_ty) : /// 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 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 +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 @@ -231,7 +276,7 @@ let u32_add = scalar_add #U32 let u64_add = scalar_add #U64 let u128_add = scalar_add #U128 -/// Substraction +/// Subtraction let isize_sub = scalar_sub #Isize let i8_sub = scalar_sub #I8 let i16_sub = scalar_sub #I16 @@ -259,12 +304,65 @@ let u32_mul = scalar_mul #U32 let u64_mul = scalar_mul #U64 let u128_mul = scalar_mul #U128 -(*** Range *) -type range (a : Type0) = { +/// Logical operators, defined for unsigned types only, so far +let u8_xor = scalar_lxor #U8 +let u16_xor = scalar_lxor #U16 +let u32_xor = scalar_lxor #U32 +let u64_xor = scalar_lxor #U64 +let u128_xor = scalar_lxor #U128 + +(*** 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; + index_mut_back : self → idx → 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; + deref_mut_back : self → 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 = Return x +let alloc_boxed_Box_deref_mut (t : Type0) (x : t) : result t = Return x +let alloc_boxed_Box_deref_mut_back (t : Type) (_ : t) (x : t) : result t = Return 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; + deref_mut_back = alloc_boxed_Box_deref_mut_back self; +} + (*** Array *) type array (a : Type0) (n : usize) = s:list a{length s = n} @@ -278,15 +376,11 @@ let mk_array (a : Type0) (n : usize) normalize_term_spec (FStar.List.Tot.length l); l -let array_index_shared (a : Type0) (n : usize) (x : array a n) (i : usize) : result a = - if i < length x then Return (index x i) - else Fail Failure - -let array_index_mut_fwd (a : Type0) (n : usize) (x : array a n) (i : usize) : result a = +let array_index_usize (a : Type0) (n : usize) (x : array a n) (i : usize) : result a = if i < length x then Return (index x i) else Fail Failure -let array_index_mut_back (a : Type0) (n : usize) (x : array a n) (i : usize) (nx : a) : result (array a n) = +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 Return (list_update x i nx) else Fail Failure @@ -295,55 +389,54 @@ 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_shared (a : Type0) (x : slice a) (i : usize) : result a = +let slice_index_usize (a : Type0) (x : slice a) (i : usize) : result a = if i < length x then Return (index x i) else Fail Failure -let slice_index_mut_fwd (a : Type0) (x : slice a) (i : usize) : result a = - if i < length x then Return (index x i) - else Fail Failure - -let slice_index_mut_back (a : Type0) (x : slice a) (i : usize) (nx : a) : result (slice a) = +let slice_update_usize (a : Type0) (x : slice a) (i : usize) (nx : a) : result (slice a) = if i < length x then Return (list_update x i nx) else Fail Failure (*** Subslices *) -let array_to_slice_shared (a : Type0) (n : usize) (x : array a n) : result (slice a) = Return x -let array_to_slice_mut_fwd (a : Type0) (n : usize) (x : array a n) : result (slice a) = Return x -let array_to_slice_mut_back (a : Type0) (n : usize) (x : array a n) (s : slice a) : result (array a n) = +let array_to_slice (a : Type0) (n : usize) (x : array a n) : result (slice a) = Return 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 Return s else Fail Failure // TODO: finish the definitions below (there lacks [List.drop] and [List.take] in the standard library *) -let array_subslice_shared (a : Type0) (n : usize) (x : array a n) (r : range usize) : result (slice a) = - admit() - -let array_subslice_mut_fwd (a : Type0) (n : usize) (x : array a n) (r : range usize) : result (slice a) = +let array_subslice (a : Type0) (n : usize) (x : array a n) (r : core_ops_range_Range usize) : result (slice a) = admit() -let array_subslice_mut_back (a : Type0) (n : usize) (x : array a n) (r : range usize) (ns : slice a) : result (array a n) = +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 slice_subslice_shared (a : Type0) (x : slice a) (r : range usize) : result (slice a) = +let array_repeat (a : Type0) (n : usize) (x : a) : array a n = admit() -let slice_subslice_mut_fwd (a : Type0) (x : slice a) (r : range usize) : result (slice a) = +let slice_subslice (a : Type0) (x : slice a) (r : core_ops_range_Range usize) : result (slice a) = admit() -let slice_subslice_mut_back (a : Type0) (x : slice a) (r : range usize) (ns : slice a) : result (slice a) = +let slice_update_subslice (a : Type0) (x : slice a) (r : core_ops_range_Range usize) (ns : slice a) : result (slice a) = admit() (*** Vector *) -type vec (a : Type0) = v:list a{length v <= usize_max} +type alloc_vec_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 +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 Return (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 Return (list_update v i x) else Fail Failure // 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)) +let alloc_vec_Vec_push_fwd (a : Type0) (v : alloc_vec_Vec a) (x : a) : unit = () +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 @@ -358,18 +451,279 @@ let vec_push_back (a : Type0) (v : vec a) (x : a) : else Fail Failure // The **forward** function shouldn't be used -let vec_insert_fwd (a : Type0) (v : vec a) (i : usize) (x : a) : result unit = +let alloc_vec_Vec_insert_fwd (a : Type0) (v : alloc_vec_Vec a) (i : usize) (x : a) : result unit = if i < length v then Return () else Fail Failure -let vec_insert_back (a : Type0) (v : vec a) (i : usize) (x : a) : result (vec a) = +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 Return (list_update v i x) else Fail Failure -// 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 Failure -let vec_index_back (a : Type0) (v : vec a) (i : usize) (x : a) : result unit = - if i < length v then Return () 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); + get_mut_back : self → t → 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; + index_mut_back : self → t → output → result t; +} -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 Failure -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 Failure +// [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 -> Return x + +// [core::slice::index::Range:::get]: forward function +let core_slice_index_Range_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_Range_get_mut + (t : Type0) : core_ops_range_Range usize → slice t → result (option (slice t)) = + admit () // TODO + +// [core::slice::index::Range::get_mut]: backward function 0 +let core_slice_index_Range_get_mut_back + (t : Type0) : + core_ops_range_Range usize → slice t → option (slice t) → result (slice t) = + admit () // TODO + +// [core::slice::index::Range::get_unchecked]: forward function +let core_slice_index_Range_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_Range_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_Range_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_Range_index_mut + (t : Type0) : core_ops_range_Range usize → slice t → result (slice t) = + admit () // TODO + +// [core::slice::index::Range::index_mut]: backward function 0 +let core_slice_index_Range_index_mut_back + (t : Type0) : core_ops_range_Range usize → 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 = + admit () // + +// [core::slice::index::[T]::index_mut]: backward function 0 +let core_slice_index_Slice_index_mut_back + (t idx : Type0) (inst : core_slice_index_SliceIndex idx (slice t)) : + slice t → idx → inst.output → result (slice t) = + admit () // TODO + +// [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 = + admit () // TODO + +// [core::array::[T; N]::index_mut]: backward function 0 +let core_array_Array_index_mut_back + (t idx : Type0) (n : usize) (inst : core_ops_index_IndexMut (slice t) idx) + (a : array t n) (i : idx) (x : inst.indexInst.output) : result (array t n) = + admit () // TODO + +// Trait implementation: [core::slice::index::[T]] +let core_slice_index_Slice_coreopsindexIndexInst (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::private_slice_index::Range] +let core_slice_index_private_slice_index_Range_coresliceindexprivate_slice_indexSealedInst + : core_slice_index_private_slice_index_Sealed (core_ops_range_Range usize) = () + +// Trait implementation: [core::slice::index::Range] +let core_slice_index_Range_coresliceindexSliceIndexInst (t : Type0) : + core_slice_index_SliceIndex (core_ops_range_Range usize) (slice t) = { + sealedInst = core_slice_index_private_slice_index_Range_coresliceindexprivate_slice_indexSealedInst; + output = slice t; + get = core_slice_index_Range_get t; + get_mut = core_slice_index_Range_get_mut t; + get_mut_back = core_slice_index_Range_get_mut_back t; + get_unchecked = core_slice_index_Range_get_unchecked t; + get_unchecked_mut = core_slice_index_Range_get_unchecked_mut t; + index = core_slice_index_Range_index t; + index_mut = core_slice_index_Range_index_mut t; + index_mut_back = core_slice_index_Range_index_mut_back t; +} + +// Trait implementation: [core::slice::index::[T]] +let core_slice_index_Slice_coreopsindexIndexMutInst (t idx : Type0) + (inst : core_slice_index_SliceIndex idx (slice t)) : + core_ops_index_IndexMut (slice t) idx = { + indexInst = core_slice_index_Slice_coreopsindexIndexInst t idx inst; + index_mut = core_slice_index_Slice_index_mut t idx inst; + index_mut_back = core_slice_index_Slice_index_mut_back t idx inst; +} + +// Trait implementation: [core::array::[T; N]] +let core_array_Array_coreopsindexIndexInst (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_array_Array_coreopsindexIndexMutInst (t idx : Type0) (n : usize) + (inst : core_ops_index_IndexMut (slice t) idx) : + core_ops_index_IndexMut (array t n) idx = { + indexInst = core_array_Array_coreopsindexIndexInst t idx n inst.indexInst; + index_mut = core_array_Array_index_mut t idx n inst; + index_mut_back = core_array_Array_index_mut_back 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) = + admit () // TODO + +// [core::slice::index::usize::get_mut]: backward function 0 +let core_slice_index_usize_get_mut_back + (t : Type0) : usize → slice 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 = + admit () // TODO + +// [core::slice::index::usize::index_mut]: backward function 0 +let core_slice_index_usize_index_mut_back + (t : Type0) : usize → slice t → t → result (slice t) = + admit () // TODO + +// Trait implementation: [core::slice::index::private_slice_index::usize] +let core_slice_index_private_slice_index_usize_coresliceindexprivate_slice_indexSealedInst + : core_slice_index_private_slice_index_Sealed usize = () + +// Trait implementation: [core::slice::index::usize] +let core_slice_index_usize_coresliceindexSliceIndexInst (t : Type0) : + core_slice_index_SliceIndex usize (slice t) = { + sealedInst = core_slice_index_private_slice_index_usize_coresliceindexprivate_slice_indexSealedInst; + output = t; + get = core_slice_index_usize_get t; + get_mut = core_slice_index_usize_get_mut t; + get_mut_back = core_slice_index_usize_get_mut_back 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; + index_mut_back = core_slice_index_usize_index_mut_back 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 = + admit () // TODO + +// [alloc::vec::Vec::index_mut]: backward function 0 +let alloc_vec_Vec_index_mut_back + (t idx : Type0) (inst : core_slice_index_SliceIndex idx (slice t)) + (self : alloc_vec_Vec t) (i : idx) (x : 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; + index_mut_back = alloc_vec_Vec_index_mut_back 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_usize_coresliceindexSliceIndexInst a) v i == + alloc_vec_Vec_index_usize v i) + [SMTPat (alloc_vec_Vec_index a usize (core_slice_index_usize_coresliceindexSliceIndexInst 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_usize_coresliceindexSliceIndexInst a) v i == + alloc_vec_Vec_index_usize v i) + [SMTPat (alloc_vec_Vec_index_mut a usize (core_slice_index_usize_coresliceindexSliceIndexInst a) v i)] + = + admit() + +let alloc_vec_Vec_index_mut_back_eq (#a : Type0) (v : alloc_vec_Vec a) (i : usize) (x : a) : + Lemma ( + alloc_vec_Vec_index_mut_back a usize (core_slice_index_usize_coresliceindexSliceIndexInst a) v i x == + alloc_vec_Vec_update_usize v i x) + [SMTPat (alloc_vec_Vec_index_mut_back a usize (core_slice_index_usize_coresliceindexSliceIndexInst a) v i x)] + = + admit() diff --git a/tests/fstar/hashmap_on_disk/HashmapMain.Clauses.Template.fst b/tests/fstar/hashmap_on_disk/HashmapMain.Clauses.Template.fst index 615c670d..61885ac7 100644 --- a/tests/fstar/hashmap_on_disk/HashmapMain.Clauses.Template.fst +++ b/tests/fstar/hashmap_on_disk/HashmapMain.Clauses.Template.fst @@ -8,56 +8,56 @@ open HashmapMain.Types (** [hashmap_main::hashmap::HashMap::{0}::allocate_slots]: decreases clause *) unfold -let hashmap_hash_map_allocate_slots_loop_decreases (t : Type0) - (slots : vec (hashmap_list_t t)) (n : usize) : nat = +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::{0}::clear]: decreases clause *) unfold -let hashmap_hash_map_clear_loop_decreases (t : Type0) - (slots : vec (hashmap_list_t t)) (i : usize) : nat = +let hashmap_HashMap_clear_loop_decreases (t : Type0) + (slots : alloc_vec_Vec (hashmap_List_t t)) (i : usize) : nat = admit () (** [hashmap_main::hashmap::HashMap::{0}::insert_in_list]: decreases clause *) unfold -let hashmap_hash_map_insert_in_list_loop_decreases (t : Type0) (key : usize) - (value : t) (ls : hashmap_list_t t) : nat = +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::{0}::move_elements_from_list]: decreases clause *) unfold -let hashmap_hash_map_move_elements_from_list_loop_decreases (t : Type0) - (ntable : hashmap_hash_map_t t) (ls : hashmap_list_t t) : nat = +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::{0}::move_elements]: decreases clause *) unfold -let hashmap_hash_map_move_elements_loop_decreases (t : Type0) - (ntable : hashmap_hash_map_t t) (slots : vec (hashmap_list_t t)) (i : usize) - : nat = +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::{0}::contains_key_in_list]: decreases clause *) unfold -let hashmap_hash_map_contains_key_in_list_loop_decreases (t : Type0) - (key : usize) (ls : hashmap_list_t t) : nat = +let hashmap_HashMap_contains_key_in_list_loop_decreases (t : Type0) + (key : usize) (ls : hashmap_List_t t) : nat = admit () (** [hashmap_main::hashmap::HashMap::{0}::get_in_list]: decreases clause *) unfold -let hashmap_hash_map_get_in_list_loop_decreases (t : Type0) (key : usize) - (ls : hashmap_list_t t) : nat = +let hashmap_HashMap_get_in_list_loop_decreases (t : Type0) (key : usize) + (ls : hashmap_List_t t) : nat = admit () (** [hashmap_main::hashmap::HashMap::{0}::get_mut_in_list]: decreases clause *) unfold -let hashmap_hash_map_get_mut_in_list_loop_decreases (t : Type0) - (ls : hashmap_list_t t) (key : usize) : nat = +let hashmap_HashMap_get_mut_in_list_loop_decreases (t : Type0) + (ls : hashmap_List_t t) (key : usize) : nat = admit () (** [hashmap_main::hashmap::HashMap::{0}::remove_from_list]: decreases clause *) unfold -let hashmap_hash_map_remove_from_list_loop_decreases (t : Type0) (key : usize) - (ls : hashmap_list_t t) : nat = +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 index 699ff3b2..be5a4ab1 100644 --- a/tests/fstar/hashmap_on_disk/HashmapMain.Clauses.fst +++ b/tests/fstar/hashmap_on_disk/HashmapMain.Clauses.fst @@ -8,54 +8,54 @@ open HashmapMain.Types (** [hashmap::HashMap::allocate_slots]: decreases clause *) unfold -let hashmap_hash_map_allocate_slots_loop_decreases (t : Type0) (slots : vec (hashmap_list_t t)) +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_hash_map_clear_loop_decreases (t : Type0) (slots : vec (hashmap_list_t t)) +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_hash_map_insert_in_list_loop_decreases (t : Type0) (key : usize) (value : t) - (ls : hashmap_list_t t) : hashmap_list_t t = +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_hash_map_move_elements_from_list_loop_decreases (t : Type0) - (ntable : hashmap_hash_map_t t) (ls : hashmap_list_t t) : hashmap_list_t t = +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_hash_map_move_elements_loop_decreases (t : Type0) (ntable : hashmap_hash_map_t t) - (slots : vec (hashmap_list_t t)) (i : usize) : nat = +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_hash_map_contains_key_in_list_loop_decreases (t : Type0) (key : usize) - (ls : hashmap_list_t t) : hashmap_list_t t = +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_hash_map_get_in_list_loop_decreases (t : Type0) (key : usize) (ls : hashmap_list_t t) : - hashmap_list_t t = +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_hash_map_get_mut_in_list_loop_decreases (t : Type0) - (ls : hashmap_list_t t) (key : usize) : hashmap_list_t t = +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_hash_map_remove_from_list_loop_decreases (t : Type0) (key : usize) - (ls : hashmap_list_t t) : hashmap_list_t t = +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 index 1c94209c..5f227596 100644 --- a/tests/fstar/hashmap_on_disk/HashmapMain.Funs.fst +++ b/tests/fstar/hashmap_on_disk/HashmapMain.Funs.fst @@ -9,529 +9,528 @@ include HashmapMain.Clauses #set-options "--z3rlimit 50 --fuel 1 --ifuel 1" (** [hashmap_main::hashmap::hash_key]: forward function *) -let hashmap_hash_key_fwd (k : usize) : result usize = +let hashmap_hash_key (k : usize) : result usize = Return k (** [hashmap_main::hashmap::HashMap::{0}::allocate_slots]: loop 0: forward function *) -let rec hashmap_hash_map_allocate_slots_loop_fwd - (t : Type0) (slots : vec (hashmap_list_t t)) (n : usize) : - Tot (result (vec (hashmap_list_t t))) - (decreases (hashmap_hash_map_allocate_slots_loop_decreases t slots n)) +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* slots0 = vec_push_back (hashmap_list_t t) slots HashmapListNil in + let* slots0 = alloc_vec_Vec_push (hashmap_List_t t) slots Hashmap_List_Nil + in let* n0 = usize_sub n 1 in - hashmap_hash_map_allocate_slots_loop_fwd t slots0 n0 + hashmap_HashMap_allocate_slots_loop t slots0 n0 else Return slots (** [hashmap_main::hashmap::HashMap::{0}::allocate_slots]: forward function *) -let hashmap_hash_map_allocate_slots_fwd - (t : Type0) (slots : vec (hashmap_list_t t)) (n : usize) : - result (vec (hashmap_list_t t)) +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_hash_map_allocate_slots_loop_fwd t slots n + hashmap_HashMap_allocate_slots_loop t slots n (** [hashmap_main::hashmap::HashMap::{0}::new_with_capacity]: forward function *) -let hashmap_hash_map_new_with_capacity_fwd +let hashmap_HashMap_new_with_capacity (t : Type0) (capacity : usize) (max_load_dividend : usize) (max_load_divisor : usize) : - result (hashmap_hash_map_t t) + result (hashmap_HashMap_t t) = - let v = vec_new (hashmap_list_t t) in - let* slots = hashmap_hash_map_allocate_slots_fwd t v capacity in + let v = alloc_vec_Vec_new (hashmap_List_t t) in + let* slots = hashmap_HashMap_allocate_slots t v capacity in let* i = usize_mul capacity max_load_dividend in let* i0 = usize_div i max_load_divisor in Return { - hashmap_hash_map_num_entries = 0; - hashmap_hash_map_max_load_factor = (max_load_dividend, max_load_divisor); - hashmap_hash_map_max_load = i0; - hashmap_hash_map_slots = slots + num_entries = 0; + max_load_factor = (max_load_dividend, max_load_divisor); + max_load = i0; + slots = slots } (** [hashmap_main::hashmap::HashMap::{0}::new]: forward function *) -let hashmap_hash_map_new_fwd (t : Type0) : result (hashmap_hash_map_t t) = - hashmap_hash_map_new_with_capacity_fwd t 32 4 5 +let hashmap_HashMap_new (t : Type0) : result (hashmap_HashMap_t t) = + hashmap_HashMap_new_with_capacity t 32 4 5 (** [hashmap_main::hashmap::HashMap::{0}::clear]: loop 0: merged forward/backward function (there is a single backward function, and the forward function returns ()) *) -let rec hashmap_hash_map_clear_loop_fwd_back - (t : Type0) (slots : vec (hashmap_list_t t)) (i : usize) : - Tot (result (vec (hashmap_list_t t))) - (decreases (hashmap_hash_map_clear_loop_decreases t slots i)) +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 i0 = vec_len (hashmap_list_t t) slots in + let i0 = alloc_vec_Vec_len (hashmap_List_t t) slots in if i < i0 then let* i1 = usize_add i 1 in - let* slots0 = vec_index_mut_back (hashmap_list_t t) slots i HashmapListNil - in - hashmap_hash_map_clear_loop_fwd_back t slots0 i1 + let* slots0 = + alloc_vec_Vec_index_mut_back (hashmap_List_t t) usize + (core_slice_index_usize_coresliceindexSliceIndexInst (hashmap_List_t + t)) slots i Hashmap_List_Nil in + hashmap_HashMap_clear_loop t slots0 i1 else Return slots (** [hashmap_main::hashmap::HashMap::{0}::clear]: merged forward/backward function (there is a single backward function, and the forward function returns ()) *) -let hashmap_hash_map_clear_fwd_back - (t : Type0) (self : hashmap_hash_map_t t) : result (hashmap_hash_map_t t) = - let* v = hashmap_hash_map_clear_loop_fwd_back t self.hashmap_hash_map_slots 0 - in - Return - { self with hashmap_hash_map_num_entries = 0; hashmap_hash_map_slots = v } +let hashmap_HashMap_clear + (t : Type0) (self : hashmap_HashMap_t t) : result (hashmap_HashMap_t t) = + let* v = hashmap_HashMap_clear_loop t self.slots 0 in + Return { self with num_entries = 0; slots = v } (** [hashmap_main::hashmap::HashMap::{0}::len]: forward function *) -let hashmap_hash_map_len_fwd - (t : Type0) (self : hashmap_hash_map_t t) : result usize = - Return self.hashmap_hash_map_num_entries +let hashmap_HashMap_len + (t : Type0) (self : hashmap_HashMap_t t) : result usize = + Return self.num_entries (** [hashmap_main::hashmap::HashMap::{0}::insert_in_list]: loop 0: forward function *) -let rec hashmap_hash_map_insert_in_list_loop_fwd - (t : Type0) (key : usize) (value : t) (ls : hashmap_list_t t) : +let rec hashmap_HashMap_insert_in_list_loop + (t : Type0) (key : usize) (value : t) (ls : hashmap_List_t t) : Tot (result bool) - (decreases (hashmap_hash_map_insert_in_list_loop_decreases t key value ls)) + (decreases (hashmap_HashMap_insert_in_list_loop_decreases t key value ls)) = begin match ls with - | HashmapListCons ckey cvalue tl -> + | Hashmap_List_Cons ckey cvalue tl -> if ckey = key then Return false - else hashmap_hash_map_insert_in_list_loop_fwd t key value tl - | HashmapListNil -> Return true + else hashmap_HashMap_insert_in_list_loop t key value tl + | Hashmap_List_Nil -> Return true end (** [hashmap_main::hashmap::HashMap::{0}::insert_in_list]: forward function *) -let hashmap_hash_map_insert_in_list_fwd - (t : Type0) (key : usize) (value : t) (ls : hashmap_list_t t) : result bool = - hashmap_hash_map_insert_in_list_loop_fwd t key value ls +let hashmap_HashMap_insert_in_list + (t : Type0) (key : usize) (value : t) (ls : hashmap_List_t t) : result bool = + hashmap_HashMap_insert_in_list_loop t key value ls (** [hashmap_main::hashmap::HashMap::{0}::insert_in_list]: loop 0: backward function 0 *) -let rec hashmap_hash_map_insert_in_list_loop_back - (t : Type0) (key : usize) (value : t) (ls : hashmap_list_t t) : - Tot (result (hashmap_list_t t)) - (decreases (hashmap_hash_map_insert_in_list_loop_decreases t key value ls)) +let rec hashmap_HashMap_insert_in_list_loop_back + (t : Type0) (key : usize) (value : t) (ls : hashmap_List_t t) : + Tot (result (hashmap_List_t t)) + (decreases (hashmap_HashMap_insert_in_list_loop_decreases t key value ls)) = begin match ls with - | HashmapListCons ckey cvalue tl -> + | Hashmap_List_Cons ckey cvalue tl -> if ckey = key - then Return (HashmapListCons ckey value tl) + then Return (Hashmap_List_Cons ckey value tl) else - let* tl0 = hashmap_hash_map_insert_in_list_loop_back t key value tl in - Return (HashmapListCons ckey cvalue tl0) - | HashmapListNil -> - let l = HashmapListNil in Return (HashmapListCons key value l) + let* tl0 = hashmap_HashMap_insert_in_list_loop_back t key value tl in + Return (Hashmap_List_Cons ckey cvalue tl0) + | Hashmap_List_Nil -> + let l = Hashmap_List_Nil in Return (Hashmap_List_Cons key value l) end (** [hashmap_main::hashmap::HashMap::{0}::insert_in_list]: backward function 0 *) -let hashmap_hash_map_insert_in_list_back - (t : Type0) (key : usize) (value : t) (ls : hashmap_list_t t) : - result (hashmap_list_t t) +let hashmap_HashMap_insert_in_list_back + (t : Type0) (key : usize) (value : t) (ls : hashmap_List_t t) : + result (hashmap_List_t t) = - hashmap_hash_map_insert_in_list_loop_back t key value ls + hashmap_HashMap_insert_in_list_loop_back t key value ls (** [hashmap_main::hashmap::HashMap::{0}::insert_no_resize]: merged forward/backward function (there is a single backward function, and the forward function returns ()) *) -let hashmap_hash_map_insert_no_resize_fwd_back - (t : Type0) (self : hashmap_hash_map_t t) (key : usize) (value : t) : - result (hashmap_hash_map_t t) +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_fwd key in - let i = vec_len (hashmap_list_t t) self.hashmap_hash_map_slots in + 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 = - vec_index_mut_fwd (hashmap_list_t t) self.hashmap_hash_map_slots hash_mod - in - let* inserted = hashmap_hash_map_insert_in_list_fwd t key value l in + alloc_vec_Vec_index_mut (hashmap_List_t t) usize + (core_slice_index_usize_coresliceindexSliceIndexInst (hashmap_List_t t)) + self.slots hash_mod in + let* inserted = hashmap_HashMap_insert_in_list t key value l in if inserted then - let* i0 = usize_add self.hashmap_hash_map_num_entries 1 in - let* l0 = hashmap_hash_map_insert_in_list_back t key value l in + let* i0 = usize_add self.num_entries 1 in + let* l0 = hashmap_HashMap_insert_in_list_back t key value l in let* v = - vec_index_mut_back (hashmap_list_t t) self.hashmap_hash_map_slots - hash_mod l0 in - Return - { self with hashmap_hash_map_num_entries = i0; hashmap_hash_map_slots = v - } + alloc_vec_Vec_index_mut_back (hashmap_List_t t) usize + (core_slice_index_usize_coresliceindexSliceIndexInst (hashmap_List_t + t)) self.slots hash_mod l0 in + Return { self with num_entries = i0; slots = v } else - let* l0 = hashmap_hash_map_insert_in_list_back t key value l in + let* l0 = hashmap_HashMap_insert_in_list_back t key value l in let* v = - vec_index_mut_back (hashmap_list_t t) self.hashmap_hash_map_slots - hash_mod l0 in - Return { self with hashmap_hash_map_slots = v } - -(** [core::num::u32::{8}::MAX] *) -let core_num_u32_max_body : result u32 = Return 4294967295 -let core_num_u32_max_c : u32 = eval_global core_num_u32_max_body + alloc_vec_Vec_index_mut_back (hashmap_List_t t) usize + (core_slice_index_usize_coresliceindexSliceIndexInst (hashmap_List_t + t)) self.slots hash_mod l0 in + Return { self with slots = v } (** [hashmap_main::hashmap::HashMap::{0}::move_elements_from_list]: loop 0: merged forward/backward function (there is a single backward function, and the forward function returns ()) *) -let rec hashmap_hash_map_move_elements_from_list_loop_fwd_back - (t : Type0) (ntable : hashmap_hash_map_t t) (ls : hashmap_list_t t) : - Tot (result (hashmap_hash_map_t t)) +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_hash_map_move_elements_from_list_loop_decreases t ntable ls)) + hashmap_HashMap_move_elements_from_list_loop_decreases t ntable ls)) = begin match ls with - | HashmapListCons k v tl -> - let* ntable0 = hashmap_hash_map_insert_no_resize_fwd_back t ntable k v in - hashmap_hash_map_move_elements_from_list_loop_fwd_back t ntable0 tl - | HashmapListNil -> Return ntable + | Hashmap_List_Cons k v tl -> + let* ntable0 = hashmap_HashMap_insert_no_resize t ntable k v in + hashmap_HashMap_move_elements_from_list_loop t ntable0 tl + | Hashmap_List_Nil -> Return ntable end (** [hashmap_main::hashmap::HashMap::{0}::move_elements_from_list]: merged forward/backward function (there is a single backward function, and the forward function returns ()) *) -let hashmap_hash_map_move_elements_from_list_fwd_back - (t : Type0) (ntable : hashmap_hash_map_t t) (ls : hashmap_list_t t) : - result (hashmap_hash_map_t t) +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_hash_map_move_elements_from_list_loop_fwd_back t ntable ls + hashmap_HashMap_move_elements_from_list_loop t ntable ls (** [hashmap_main::hashmap::HashMap::{0}::move_elements]: loop 0: merged forward/backward function (there is a single backward function, and the forward function returns ()) *) -let rec hashmap_hash_map_move_elements_loop_fwd_back - (t : Type0) (ntable : hashmap_hash_map_t t) (slots : vec (hashmap_list_t t)) - (i : usize) : - Tot (result ((hashmap_hash_map_t t) & (vec (hashmap_list_t t)))) - (decreases (hashmap_hash_map_move_elements_loop_decreases t ntable slots i)) +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 i0 = vec_len (hashmap_list_t t) slots in + let i0 = alloc_vec_Vec_len (hashmap_List_t t) slots in if i < i0 then - let* l = vec_index_mut_fwd (hashmap_list_t t) slots i in - let ls = mem_replace_fwd (hashmap_list_t t) l HashmapListNil in - let* ntable0 = - hashmap_hash_map_move_elements_from_list_fwd_back t ntable ls in + let* l = + alloc_vec_Vec_index_mut (hashmap_List_t t) usize + (core_slice_index_usize_coresliceindexSliceIndexInst (hashmap_List_t + t)) slots i in + let ls = core_mem_replace (hashmap_List_t t) l Hashmap_List_Nil in + let* ntable0 = hashmap_HashMap_move_elements_from_list t ntable ls in let* i1 = usize_add i 1 in - let l0 = mem_replace_back (hashmap_list_t t) l HashmapListNil in - let* slots0 = vec_index_mut_back (hashmap_list_t t) slots i l0 in - hashmap_hash_map_move_elements_loop_fwd_back t ntable0 slots0 i1 + let l0 = core_mem_replace_back (hashmap_List_t t) l Hashmap_List_Nil in + let* slots0 = + alloc_vec_Vec_index_mut_back (hashmap_List_t t) usize + (core_slice_index_usize_coresliceindexSliceIndexInst (hashmap_List_t + t)) slots i l0 in + hashmap_HashMap_move_elements_loop t ntable0 slots0 i1 else Return (ntable, slots) (** [hashmap_main::hashmap::HashMap::{0}::move_elements]: merged forward/backward function (there is a single backward function, and the forward function returns ()) *) -let hashmap_hash_map_move_elements_fwd_back - (t : Type0) (ntable : hashmap_hash_map_t t) (slots : vec (hashmap_list_t t)) - (i : usize) : - result ((hashmap_hash_map_t t) & (vec (hashmap_list_t t))) +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_hash_map_move_elements_loop_fwd_back t ntable slots i + hashmap_HashMap_move_elements_loop t ntable slots i (** [hashmap_main::hashmap::HashMap::{0}::try_resize]: merged forward/backward function (there is a single backward function, and the forward function returns ()) *) -let hashmap_hash_map_try_resize_fwd_back - (t : Type0) (self : hashmap_hash_map_t t) : result (hashmap_hash_map_t t) = - let* max_usize = scalar_cast U32 Usize core_num_u32_max_c in - let capacity = vec_len (hashmap_list_t t) self.hashmap_hash_map_slots in +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, i0) = self.hashmap_hash_map_max_load_factor in + let (i, i0) = self.max_load_factor in let* i1 = usize_div n1 i in if capacity <= i1 then let* i2 = usize_mul capacity 2 in - let* ntable = hashmap_hash_map_new_with_capacity_fwd t i2 i i0 in - let* (ntable0, _) = - hashmap_hash_map_move_elements_fwd_back t ntable - self.hashmap_hash_map_slots 0 in + let* ntable = hashmap_HashMap_new_with_capacity t i2 i i0 in + let* (ntable0, _) = hashmap_HashMap_move_elements t ntable self.slots 0 in Return - { - ntable0 - with - hashmap_hash_map_num_entries = self.hashmap_hash_map_num_entries; - hashmap_hash_map_max_load_factor = (i, i0) + { ntable0 with num_entries = self.num_entries; max_load_factor = (i, i0) } - else Return { self with hashmap_hash_map_max_load_factor = (i, i0) } + else Return { self with max_load_factor = (i, i0) } (** [hashmap_main::hashmap::HashMap::{0}::insert]: merged forward/backward function (there is a single backward function, and the forward function returns ()) *) -let hashmap_hash_map_insert_fwd_back - (t : Type0) (self : hashmap_hash_map_t t) (key : usize) (value : t) : - result (hashmap_hash_map_t t) +let hashmap_HashMap_insert + (t : Type0) (self : hashmap_HashMap_t t) (key : usize) (value : t) : + result (hashmap_HashMap_t t) = - let* self0 = hashmap_hash_map_insert_no_resize_fwd_back t self key value in - let* i = hashmap_hash_map_len_fwd t self0 in - if i > self0.hashmap_hash_map_max_load - then hashmap_hash_map_try_resize_fwd_back t self0 + let* self0 = hashmap_HashMap_insert_no_resize t self key value in + let* i = hashmap_HashMap_len t self0 in + if i > self0.max_load + then hashmap_HashMap_try_resize t self0 else Return self0 (** [hashmap_main::hashmap::HashMap::{0}::contains_key_in_list]: loop 0: forward function *) -let rec hashmap_hash_map_contains_key_in_list_loop_fwd - (t : Type0) (key : usize) (ls : hashmap_list_t t) : +let rec hashmap_HashMap_contains_key_in_list_loop + (t : Type0) (key : usize) (ls : hashmap_List_t t) : Tot (result bool) - (decreases (hashmap_hash_map_contains_key_in_list_loop_decreases t key ls)) + (decreases (hashmap_HashMap_contains_key_in_list_loop_decreases t key ls)) = begin match ls with - | HashmapListCons ckey x tl -> + | Hashmap_List_Cons ckey x tl -> if ckey = key then Return true - else hashmap_hash_map_contains_key_in_list_loop_fwd t key tl - | HashmapListNil -> Return false + else hashmap_HashMap_contains_key_in_list_loop t key tl + | Hashmap_List_Nil -> Return false end (** [hashmap_main::hashmap::HashMap::{0}::contains_key_in_list]: forward function *) -let hashmap_hash_map_contains_key_in_list_fwd - (t : Type0) (key : usize) (ls : hashmap_list_t t) : result bool = - hashmap_hash_map_contains_key_in_list_loop_fwd t key ls +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::{0}::contains_key]: forward function *) -let hashmap_hash_map_contains_key_fwd - (t : Type0) (self : hashmap_hash_map_t t) (key : usize) : result bool = - let* hash = hashmap_hash_key_fwd key in - let i = vec_len (hashmap_list_t t) self.hashmap_hash_map_slots in +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 = - vec_index_fwd (hashmap_list_t t) self.hashmap_hash_map_slots hash_mod in - hashmap_hash_map_contains_key_in_list_fwd t key l + alloc_vec_Vec_index (hashmap_List_t t) usize + (core_slice_index_usize_coresliceindexSliceIndexInst (hashmap_List_t t)) + self.slots hash_mod in + hashmap_HashMap_contains_key_in_list t key l (** [hashmap_main::hashmap::HashMap::{0}::get_in_list]: loop 0: forward function *) -let rec hashmap_hash_map_get_in_list_loop_fwd - (t : Type0) (key : usize) (ls : hashmap_list_t t) : +let rec hashmap_HashMap_get_in_list_loop + (t : Type0) (key : usize) (ls : hashmap_List_t t) : Tot (result t) - (decreases (hashmap_hash_map_get_in_list_loop_decreases t key ls)) + (decreases (hashmap_HashMap_get_in_list_loop_decreases t key ls)) = begin match ls with - | HashmapListCons ckey cvalue tl -> + | Hashmap_List_Cons ckey cvalue tl -> if ckey = key then Return cvalue - else hashmap_hash_map_get_in_list_loop_fwd t key tl - | HashmapListNil -> Fail Failure + else hashmap_HashMap_get_in_list_loop t key tl + | Hashmap_List_Nil -> Fail Failure end (** [hashmap_main::hashmap::HashMap::{0}::get_in_list]: forward function *) -let hashmap_hash_map_get_in_list_fwd - (t : Type0) (key : usize) (ls : hashmap_list_t t) : result t = - hashmap_hash_map_get_in_list_loop_fwd t key ls +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::{0}::get]: forward function *) -let hashmap_hash_map_get_fwd - (t : Type0) (self : hashmap_hash_map_t t) (key : usize) : result t = - let* hash = hashmap_hash_key_fwd key in - let i = vec_len (hashmap_list_t t) self.hashmap_hash_map_slots in +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 = - vec_index_fwd (hashmap_list_t t) self.hashmap_hash_map_slots hash_mod in - hashmap_hash_map_get_in_list_fwd t key l + alloc_vec_Vec_index (hashmap_List_t t) usize + (core_slice_index_usize_coresliceindexSliceIndexInst (hashmap_List_t t)) + self.slots hash_mod in + hashmap_HashMap_get_in_list t key l (** [hashmap_main::hashmap::HashMap::{0}::get_mut_in_list]: loop 0: forward function *) -let rec hashmap_hash_map_get_mut_in_list_loop_fwd - (t : Type0) (ls : hashmap_list_t t) (key : usize) : +let rec hashmap_HashMap_get_mut_in_list_loop + (t : Type0) (ls : hashmap_List_t t) (key : usize) : Tot (result t) - (decreases (hashmap_hash_map_get_mut_in_list_loop_decreases t ls key)) + (decreases (hashmap_HashMap_get_mut_in_list_loop_decreases t ls key)) = begin match ls with - | HashmapListCons ckey cvalue tl -> + | Hashmap_List_Cons ckey cvalue tl -> if ckey = key then Return cvalue - else hashmap_hash_map_get_mut_in_list_loop_fwd t tl key - | HashmapListNil -> Fail Failure + else hashmap_HashMap_get_mut_in_list_loop t tl key + | Hashmap_List_Nil -> Fail Failure end (** [hashmap_main::hashmap::HashMap::{0}::get_mut_in_list]: forward function *) -let hashmap_hash_map_get_mut_in_list_fwd - (t : Type0) (ls : hashmap_list_t t) (key : usize) : result t = - hashmap_hash_map_get_mut_in_list_loop_fwd t ls key +let hashmap_HashMap_get_mut_in_list + (t : Type0) (ls : hashmap_List_t t) (key : usize) : result t = + hashmap_HashMap_get_mut_in_list_loop t ls key (** [hashmap_main::hashmap::HashMap::{0}::get_mut_in_list]: loop 0: backward function 0 *) -let rec hashmap_hash_map_get_mut_in_list_loop_back - (t : Type0) (ls : hashmap_list_t t) (key : usize) (ret : t) : - Tot (result (hashmap_list_t t)) - (decreases (hashmap_hash_map_get_mut_in_list_loop_decreases t ls key)) +let rec hashmap_HashMap_get_mut_in_list_loop_back + (t : Type0) (ls : hashmap_List_t t) (key : usize) (ret : t) : + Tot (result (hashmap_List_t t)) + (decreases (hashmap_HashMap_get_mut_in_list_loop_decreases t ls key)) = begin match ls with - | HashmapListCons ckey cvalue tl -> + | Hashmap_List_Cons ckey cvalue tl -> if ckey = key - then Return (HashmapListCons ckey ret tl) + then Return (Hashmap_List_Cons ckey ret tl) else - let* tl0 = hashmap_hash_map_get_mut_in_list_loop_back t tl key ret in - Return (HashmapListCons ckey cvalue tl0) - | HashmapListNil -> Fail Failure + let* tl0 = hashmap_HashMap_get_mut_in_list_loop_back t tl key ret in + Return (Hashmap_List_Cons ckey cvalue tl0) + | Hashmap_List_Nil -> Fail Failure end (** [hashmap_main::hashmap::HashMap::{0}::get_mut_in_list]: backward function 0 *) -let hashmap_hash_map_get_mut_in_list_back - (t : Type0) (ls : hashmap_list_t t) (key : usize) (ret : t) : - result (hashmap_list_t t) +let hashmap_HashMap_get_mut_in_list_back + (t : Type0) (ls : hashmap_List_t t) (key : usize) (ret : t) : + result (hashmap_List_t t) = - hashmap_hash_map_get_mut_in_list_loop_back t ls key ret + hashmap_HashMap_get_mut_in_list_loop_back t ls key ret (** [hashmap_main::hashmap::HashMap::{0}::get_mut]: forward function *) -let hashmap_hash_map_get_mut_fwd - (t : Type0) (self : hashmap_hash_map_t t) (key : usize) : result t = - let* hash = hashmap_hash_key_fwd key in - let i = vec_len (hashmap_list_t t) self.hashmap_hash_map_slots in +let hashmap_HashMap_get_mut + (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 = - vec_index_mut_fwd (hashmap_list_t t) self.hashmap_hash_map_slots hash_mod - in - hashmap_hash_map_get_mut_in_list_fwd t l key + alloc_vec_Vec_index_mut (hashmap_List_t t) usize + (core_slice_index_usize_coresliceindexSliceIndexInst (hashmap_List_t t)) + self.slots hash_mod in + hashmap_HashMap_get_mut_in_list t l key (** [hashmap_main::hashmap::HashMap::{0}::get_mut]: backward function 0 *) -let hashmap_hash_map_get_mut_back - (t : Type0) (self : hashmap_hash_map_t t) (key : usize) (ret : t) : - result (hashmap_hash_map_t t) +let hashmap_HashMap_get_mut_back + (t : Type0) (self : hashmap_HashMap_t t) (key : usize) (ret : t) : + result (hashmap_HashMap_t t) = - let* hash = hashmap_hash_key_fwd key in - let i = vec_len (hashmap_list_t t) self.hashmap_hash_map_slots in + 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 = - vec_index_mut_fwd (hashmap_list_t t) self.hashmap_hash_map_slots hash_mod - in - let* l0 = hashmap_hash_map_get_mut_in_list_back t l key ret in + alloc_vec_Vec_index_mut (hashmap_List_t t) usize + (core_slice_index_usize_coresliceindexSliceIndexInst (hashmap_List_t t)) + self.slots hash_mod in + let* l0 = hashmap_HashMap_get_mut_in_list_back t l key ret in let* v = - vec_index_mut_back (hashmap_list_t t) self.hashmap_hash_map_slots hash_mod - l0 in - Return { self with hashmap_hash_map_slots = v } + alloc_vec_Vec_index_mut_back (hashmap_List_t t) usize + (core_slice_index_usize_coresliceindexSliceIndexInst (hashmap_List_t t)) + self.slots hash_mod l0 in + Return { self with slots = v } (** [hashmap_main::hashmap::HashMap::{0}::remove_from_list]: loop 0: forward function *) -let rec hashmap_hash_map_remove_from_list_loop_fwd - (t : Type0) (key : usize) (ls : hashmap_list_t t) : +let rec hashmap_HashMap_remove_from_list_loop + (t : Type0) (key : usize) (ls : hashmap_List_t t) : Tot (result (option t)) - (decreases (hashmap_hash_map_remove_from_list_loop_decreases t key ls)) + (decreases (hashmap_HashMap_remove_from_list_loop_decreases t key ls)) = begin match ls with - | HashmapListCons ckey x tl -> + | Hashmap_List_Cons ckey x tl -> if ckey = key then let mv_ls = - mem_replace_fwd (hashmap_list_t t) (HashmapListCons ckey x tl) - HashmapListNil in + core_mem_replace (hashmap_List_t t) (Hashmap_List_Cons ckey x tl) + Hashmap_List_Nil in begin match mv_ls with - | HashmapListCons i cvalue tl0 -> Return (Some cvalue) - | HashmapListNil -> Fail Failure + | Hashmap_List_Cons i cvalue tl0 -> Return (Some cvalue) + | Hashmap_List_Nil -> Fail Failure end - else hashmap_hash_map_remove_from_list_loop_fwd t key tl - | HashmapListNil -> Return None + else hashmap_HashMap_remove_from_list_loop t key tl + | Hashmap_List_Nil -> Return None end (** [hashmap_main::hashmap::HashMap::{0}::remove_from_list]: forward function *) -let hashmap_hash_map_remove_from_list_fwd - (t : Type0) (key : usize) (ls : hashmap_list_t t) : result (option t) = - hashmap_hash_map_remove_from_list_loop_fwd t key ls +let hashmap_HashMap_remove_from_list + (t : Type0) (key : usize) (ls : hashmap_List_t t) : result (option t) = + hashmap_HashMap_remove_from_list_loop t key ls (** [hashmap_main::hashmap::HashMap::{0}::remove_from_list]: loop 0: backward function 1 *) -let rec hashmap_hash_map_remove_from_list_loop_back - (t : Type0) (key : usize) (ls : hashmap_list_t t) : - Tot (result (hashmap_list_t t)) - (decreases (hashmap_hash_map_remove_from_list_loop_decreases t key ls)) +let rec hashmap_HashMap_remove_from_list_loop_back + (t : Type0) (key : usize) (ls : hashmap_List_t t) : + Tot (result (hashmap_List_t t)) + (decreases (hashmap_HashMap_remove_from_list_loop_decreases t key ls)) = begin match ls with - | HashmapListCons ckey x tl -> + | Hashmap_List_Cons ckey x tl -> if ckey = key then let mv_ls = - mem_replace_fwd (hashmap_list_t t) (HashmapListCons ckey x tl) - HashmapListNil in + core_mem_replace (hashmap_List_t t) (Hashmap_List_Cons ckey x tl) + Hashmap_List_Nil in begin match mv_ls with - | HashmapListCons i cvalue tl0 -> Return tl0 - | HashmapListNil -> Fail Failure + | Hashmap_List_Cons i cvalue tl0 -> Return tl0 + | Hashmap_List_Nil -> Fail Failure end else - let* tl0 = hashmap_hash_map_remove_from_list_loop_back t key tl in - Return (HashmapListCons ckey x tl0) - | HashmapListNil -> Return HashmapListNil + let* tl0 = hashmap_HashMap_remove_from_list_loop_back t key tl in + Return (Hashmap_List_Cons ckey x tl0) + | Hashmap_List_Nil -> Return Hashmap_List_Nil end (** [hashmap_main::hashmap::HashMap::{0}::remove_from_list]: backward function 1 *) -let hashmap_hash_map_remove_from_list_back - (t : Type0) (key : usize) (ls : hashmap_list_t t) : - result (hashmap_list_t t) +let hashmap_HashMap_remove_from_list_back + (t : Type0) (key : usize) (ls : hashmap_List_t t) : + result (hashmap_List_t t) = - hashmap_hash_map_remove_from_list_loop_back t key ls + hashmap_HashMap_remove_from_list_loop_back t key ls (** [hashmap_main::hashmap::HashMap::{0}::remove]: forward function *) -let hashmap_hash_map_remove_fwd - (t : Type0) (self : hashmap_hash_map_t t) (key : usize) : result (option t) = - let* hash = hashmap_hash_key_fwd key in - let i = vec_len (hashmap_list_t t) self.hashmap_hash_map_slots in +let hashmap_HashMap_remove + (t : Type0) (self : hashmap_HashMap_t t) (key : usize) : result (option 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 = - vec_index_mut_fwd (hashmap_list_t t) self.hashmap_hash_map_slots hash_mod - in - let* x = hashmap_hash_map_remove_from_list_fwd t key l in + alloc_vec_Vec_index_mut (hashmap_List_t t) usize + (core_slice_index_usize_coresliceindexSliceIndexInst (hashmap_List_t t)) + self.slots hash_mod in + let* x = hashmap_HashMap_remove_from_list t key l in begin match x with | None -> Return None - | Some x0 -> - let* _ = usize_sub self.hashmap_hash_map_num_entries 1 in Return (Some x0) + | Some x0 -> let* _ = usize_sub self.num_entries 1 in Return (Some x0) end (** [hashmap_main::hashmap::HashMap::{0}::remove]: backward function 0 *) -let hashmap_hash_map_remove_back - (t : Type0) (self : hashmap_hash_map_t t) (key : usize) : - result (hashmap_hash_map_t t) +let hashmap_HashMap_remove_back + (t : Type0) (self : hashmap_HashMap_t t) (key : usize) : + result (hashmap_HashMap_t t) = - let* hash = hashmap_hash_key_fwd key in - let i = vec_len (hashmap_list_t t) self.hashmap_hash_map_slots in + 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 = - vec_index_mut_fwd (hashmap_list_t t) self.hashmap_hash_map_slots hash_mod - in - let* x = hashmap_hash_map_remove_from_list_fwd t key l in + alloc_vec_Vec_index_mut (hashmap_List_t t) usize + (core_slice_index_usize_coresliceindexSliceIndexInst (hashmap_List_t t)) + self.slots hash_mod in + let* x = hashmap_HashMap_remove_from_list t key l in begin match x with | None -> - let* l0 = hashmap_hash_map_remove_from_list_back t key l in + let* l0 = hashmap_HashMap_remove_from_list_back t key l in let* v = - vec_index_mut_back (hashmap_list_t t) self.hashmap_hash_map_slots - hash_mod l0 in - Return { self with hashmap_hash_map_slots = v } + alloc_vec_Vec_index_mut_back (hashmap_List_t t) usize + (core_slice_index_usize_coresliceindexSliceIndexInst (hashmap_List_t + t)) self.slots hash_mod l0 in + Return { self with slots = v } | Some x0 -> - let* i0 = usize_sub self.hashmap_hash_map_num_entries 1 in - let* l0 = hashmap_hash_map_remove_from_list_back t key l in + let* i0 = usize_sub self.num_entries 1 in + let* l0 = hashmap_HashMap_remove_from_list_back t key l in let* v = - vec_index_mut_back (hashmap_list_t t) self.hashmap_hash_map_slots - hash_mod l0 in - Return - { self with hashmap_hash_map_num_entries = i0; hashmap_hash_map_slots = v - } + alloc_vec_Vec_index_mut_back (hashmap_List_t t) usize + (core_slice_index_usize_coresliceindexSliceIndexInst (hashmap_List_t + t)) self.slots hash_mod l0 in + Return { self with num_entries = i0; slots = v } end (** [hashmap_main::hashmap::test1]: forward function *) -let hashmap_test1_fwd : result unit = - let* hm = hashmap_hash_map_new_fwd u64 in - let* hm0 = hashmap_hash_map_insert_fwd_back u64 hm 0 42 in - let* hm1 = hashmap_hash_map_insert_fwd_back u64 hm0 128 18 in - let* hm2 = hashmap_hash_map_insert_fwd_back u64 hm1 1024 138 in - let* hm3 = hashmap_hash_map_insert_fwd_back u64 hm2 1056 256 in - let* i = hashmap_hash_map_get_fwd u64 hm3 128 in +let hashmap_test1 : result unit = + let* hm = hashmap_HashMap_new u64 in + let* hm0 = hashmap_HashMap_insert u64 hm 0 42 in + let* hm1 = hashmap_HashMap_insert u64 hm0 128 18 in + let* hm2 = hashmap_HashMap_insert u64 hm1 1024 138 in + let* hm3 = hashmap_HashMap_insert u64 hm2 1056 256 in + let* i = hashmap_HashMap_get u64 hm3 128 in if not (i = 18) then Fail Failure else - let* hm4 = hashmap_hash_map_get_mut_back u64 hm3 1024 56 in - let* i0 = hashmap_hash_map_get_fwd u64 hm4 1024 in + let* hm4 = hashmap_HashMap_get_mut_back u64 hm3 1024 56 in + let* i0 = hashmap_HashMap_get u64 hm4 1024 in if not (i0 = 56) then Fail Failure else - let* x = hashmap_hash_map_remove_fwd u64 hm4 1024 in + let* x = hashmap_HashMap_remove u64 hm4 1024 in begin match x with | None -> Fail Failure | Some x0 -> if not (x0 = 56) then Fail Failure else - let* hm5 = hashmap_hash_map_remove_back u64 hm4 1024 in - let* i1 = hashmap_hash_map_get_fwd u64 hm5 0 in + let* hm5 = hashmap_HashMap_remove_back u64 hm4 1024 in + let* i1 = hashmap_HashMap_get u64 hm5 0 in if not (i1 = 42) then Fail Failure else - let* i2 = hashmap_hash_map_get_fwd u64 hm5 128 in + let* i2 = hashmap_HashMap_get u64 hm5 128 in if not (i2 = 18) then Fail Failure else - let* i3 = hashmap_hash_map_get_fwd u64 hm5 1056 in + let* i3 = hashmap_HashMap_get u64 hm5 1056 in if not (i3 = 256) then Fail Failure else Return () end -(** Unit test for [hashmap_main::hashmap::test1] *) -let _ = assert_norm (hashmap_test1_fwd = Return ()) - (** [hashmap_main::insert_on_disk]: forward function *) -let insert_on_disk_fwd +let insert_on_disk (key : usize) (value : u64) (st : state) : result (state & unit) = - let* (st0, hm) = hashmap_utils_deserialize_fwd st in - let* hm0 = hashmap_hash_map_insert_fwd_back u64 hm key value in - let* (st1, _) = hashmap_utils_serialize_fwd hm0 st0 in + let* (st0, hm) = hashmap_utils_deserialize st in + let* hm0 = hashmap_HashMap_insert u64 hm key value in + let* (st1, _) = hashmap_utils_serialize hm0 st0 in Return (st1, ()) (** [hashmap_main::main]: forward function *) -let main_fwd : result unit = +let main : result unit = Return () -(** Unit test for [hashmap_main::main] *) -let _ = assert_norm (main_fwd = Return ()) - diff --git a/tests/fstar/hashmap_on_disk/HashmapMain.Opaque.fsti b/tests/fstar/hashmap_on_disk/HashmapMain.Opaque.fsti index 78a6c3ba..d6cecf36 100644 --- a/tests/fstar/hashmap_on_disk/HashmapMain.Opaque.fsti +++ b/tests/fstar/hashmap_on_disk/HashmapMain.Opaque.fsti @@ -7,10 +7,10 @@ include HashmapMain.Types #set-options "--z3rlimit 50 --fuel 1 --ifuel 1" (** [hashmap_main::hashmap_utils::deserialize]: forward function *) -val hashmap_utils_deserialize_fwd - : state -> result (state & (hashmap_hash_map_t u64)) +val hashmap_utils_deserialize + : state -> result (state & (hashmap_HashMap_t u64)) (** [hashmap_main::hashmap_utils::serialize]: forward function *) -val hashmap_utils_serialize_fwd - : hashmap_hash_map_t u64 -> state -> result (state & unit) +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 index 106fe05a..358df29e 100644 --- a/tests/fstar/hashmap_on_disk/HashmapMain.Properties.fst +++ b/tests/fstar/hashmap_on_disk/HashmapMain.Properties.fst @@ -13,36 +13,36 @@ open HashmapMain.Funs /// [state_v] gives us the hash map currently stored on disk assume -val state_v : state -> hashmap_hash_map_t u64 +val state_v : state -> hashmap_HashMap_t u64 /// [serialize] updates the hash map stored on disk assume -val serialize_lem (hm : hashmap_hash_map_t u64) (st : state) : Lemma ( - match hashmap_utils_serialize_fwd hm st with +val serialize_lem (hm : hashmap_HashMap_t u64) (st : state) : Lemma ( + match hashmap_utils_serialize hm st with | Fail _ -> True | Return (st', ()) -> state_v st' == hm) - [SMTPat (hashmap_utils_serialize_fwd hm st)] + [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_fwd st with + match hashmap_utils_deserialize st with | Fail _ -> True | Return (st', hm) -> hm == state_v st /\ st' == st) - [SMTPat (hashmap_utils_deserialize_fwd 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_fwd_lem (key : usize) (value : u64) (st : state) : Lemma ( - match insert_on_disk_fwd key value st with +val insert_on_disk_lem (key : usize) (value : u64) (st : state) : Lemma ( + match insert_on_disk key value st with | Fail _ -> True | Return (st', ()) -> let hm = state_v st in - match hashmap_hash_map_insert_fwd_back u64 hm key value with + match hashmap_HashMap_insert u64 hm key value with | Fail _ -> False | Return hm' -> hm' == state_v st') -let insert_on_disk_fwd_lem key value st = () +let insert_on_disk_lem key value st = () diff --git a/tests/fstar/hashmap_on_disk/HashmapMain.Types.fsti b/tests/fstar/hashmap_on_disk/HashmapMain.Types.fsti index e289174b..24b78c2a 100644 --- a/tests/fstar/hashmap_on_disk/HashmapMain.Types.fsti +++ b/tests/fstar/hashmap_on_disk/HashmapMain.Types.fsti @@ -6,17 +6,17 @@ open Primitives #set-options "--z3rlimit 50 --fuel 1 --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 +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] *) -type hashmap_hash_map_t (t : Type0) = +type hashmap_HashMap_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); + num_entries : usize; + max_load_factor : (usize & usize); + max_load : usize; + slots : alloc_vec_Vec (hashmap_List_t t); } (** The state type used in the state-error monad *) diff --git a/tests/fstar/hashmap_on_disk/Primitives.fst b/tests/fstar/hashmap_on_disk/Primitives.fst index 9db82069..3297803c 100644 --- a/tests/fstar/hashmap_on_disk/Primitives.fst +++ b/tests/fstar/hashmap_on_disk/Primitives.fst @@ -55,8 +55,12 @@ type string = string let is_zero (n: nat) : bool = n = 0 let decrease (n: nat{n > 0}) : nat = n - 1 -let mem_replace_fwd (a : Type0) (x : a) (y : a) : a = x -let mem_replace_back (a : Type0) (x : a) (y : a) : a = y +let core_mem_replace (a : Type0) (x : a) (y : a) : a = x +let core_mem_replace_back (a : Type0) (x : a) (y : a) : a = y + +// 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 @@ -100,6 +104,11 @@ type scalar_ty = | 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 @@ -162,6 +171,15 @@ let scalar_sub (#ty : scalar_ty) (x : scalar ty) (y : scalar ty) : result (scala let scalar_mul (#ty : scalar_ty) (x : scalar ty) (y : scalar ty) : result (scalar ty) = mk_scalar ty (x * y) +let scalar_lxor (#ty : scalar_ty { is_unsigned ty && ty <> Usize }) + (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 + (** 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) = @@ -169,17 +187,44 @@ let scalar_cast (src_ty : scalar_ty) (tgt_ty : scalar_ty) (x : scalar src_ty) : /// 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 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 +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 @@ -231,7 +276,7 @@ let u32_add = scalar_add #U32 let u64_add = scalar_add #U64 let u128_add = scalar_add #U128 -/// Substraction +/// Subtraction let isize_sub = scalar_sub #Isize let i8_sub = scalar_sub #I8 let i16_sub = scalar_sub #I16 @@ -259,12 +304,65 @@ let u32_mul = scalar_mul #U32 let u64_mul = scalar_mul #U64 let u128_mul = scalar_mul #U128 -(*** Range *) -type range (a : Type0) = { +/// Logical operators, defined for unsigned types only, so far +let u8_xor = scalar_lxor #U8 +let u16_xor = scalar_lxor #U16 +let u32_xor = scalar_lxor #U32 +let u64_xor = scalar_lxor #U64 +let u128_xor = scalar_lxor #U128 + +(*** 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; + index_mut_back : self → idx → 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; + deref_mut_back : self → 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 = Return x +let alloc_boxed_Box_deref_mut (t : Type0) (x : t) : result t = Return x +let alloc_boxed_Box_deref_mut_back (t : Type) (_ : t) (x : t) : result t = Return 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; + deref_mut_back = alloc_boxed_Box_deref_mut_back self; +} + (*** Array *) type array (a : Type0) (n : usize) = s:list a{length s = n} @@ -278,15 +376,11 @@ let mk_array (a : Type0) (n : usize) normalize_term_spec (FStar.List.Tot.length l); l -let array_index_shared (a : Type0) (n : usize) (x : array a n) (i : usize) : result a = - if i < length x then Return (index x i) - else Fail Failure - -let array_index_mut_fwd (a : Type0) (n : usize) (x : array a n) (i : usize) : result a = +let array_index_usize (a : Type0) (n : usize) (x : array a n) (i : usize) : result a = if i < length x then Return (index x i) else Fail Failure -let array_index_mut_back (a : Type0) (n : usize) (x : array a n) (i : usize) (nx : a) : result (array a n) = +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 Return (list_update x i nx) else Fail Failure @@ -295,55 +389,54 @@ 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_shared (a : Type0) (x : slice a) (i : usize) : result a = +let slice_index_usize (a : Type0) (x : slice a) (i : usize) : result a = if i < length x then Return (index x i) else Fail Failure -let slice_index_mut_fwd (a : Type0) (x : slice a) (i : usize) : result a = - if i < length x then Return (index x i) - else Fail Failure - -let slice_index_mut_back (a : Type0) (x : slice a) (i : usize) (nx : a) : result (slice a) = +let slice_update_usize (a : Type0) (x : slice a) (i : usize) (nx : a) : result (slice a) = if i < length x then Return (list_update x i nx) else Fail Failure (*** Subslices *) -let array_to_slice_shared (a : Type0) (n : usize) (x : array a n) : result (slice a) = Return x -let array_to_slice_mut_fwd (a : Type0) (n : usize) (x : array a n) : result (slice a) = Return x -let array_to_slice_mut_back (a : Type0) (n : usize) (x : array a n) (s : slice a) : result (array a n) = +let array_to_slice (a : Type0) (n : usize) (x : array a n) : result (slice a) = Return 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 Return s else Fail Failure // TODO: finish the definitions below (there lacks [List.drop] and [List.take] in the standard library *) -let array_subslice_shared (a : Type0) (n : usize) (x : array a n) (r : range usize) : result (slice a) = - admit() - -let array_subslice_mut_fwd (a : Type0) (n : usize) (x : array a n) (r : range usize) : result (slice a) = +let array_subslice (a : Type0) (n : usize) (x : array a n) (r : core_ops_range_Range usize) : result (slice a) = admit() -let array_subslice_mut_back (a : Type0) (n : usize) (x : array a n) (r : range usize) (ns : slice a) : result (array a n) = +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 slice_subslice_shared (a : Type0) (x : slice a) (r : range usize) : result (slice a) = +let array_repeat (a : Type0) (n : usize) (x : a) : array a n = admit() -let slice_subslice_mut_fwd (a : Type0) (x : slice a) (r : range usize) : result (slice a) = +let slice_subslice (a : Type0) (x : slice a) (r : core_ops_range_Range usize) : result (slice a) = admit() -let slice_subslice_mut_back (a : Type0) (x : slice a) (r : range usize) (ns : slice a) : result (slice a) = +let slice_update_subslice (a : Type0) (x : slice a) (r : core_ops_range_Range usize) (ns : slice a) : result (slice a) = admit() (*** Vector *) -type vec (a : Type0) = v:list a{length v <= usize_max} +type alloc_vec_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 +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 Return (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 Return (list_update v i x) else Fail Failure // 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)) +let alloc_vec_Vec_push_fwd (a : Type0) (v : alloc_vec_Vec a) (x : a) : unit = () +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 @@ -358,18 +451,279 @@ let vec_push_back (a : Type0) (v : vec a) (x : a) : else Fail Failure // The **forward** function shouldn't be used -let vec_insert_fwd (a : Type0) (v : vec a) (i : usize) (x : a) : result unit = +let alloc_vec_Vec_insert_fwd (a : Type0) (v : alloc_vec_Vec a) (i : usize) (x : a) : result unit = if i < length v then Return () else Fail Failure -let vec_insert_back (a : Type0) (v : vec a) (i : usize) (x : a) : result (vec a) = +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 Return (list_update v i x) else Fail Failure -// 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 Failure -let vec_index_back (a : Type0) (v : vec a) (i : usize) (x : a) : result unit = - if i < length v then Return () 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); + get_mut_back : self → t → 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; + index_mut_back : self → t → output → result t; +} -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 Failure -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 Failure +// [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 -> Return x + +// [core::slice::index::Range:::get]: forward function +let core_slice_index_Range_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_Range_get_mut + (t : Type0) : core_ops_range_Range usize → slice t → result (option (slice t)) = + admit () // TODO + +// [core::slice::index::Range::get_mut]: backward function 0 +let core_slice_index_Range_get_mut_back + (t : Type0) : + core_ops_range_Range usize → slice t → option (slice t) → result (slice t) = + admit () // TODO + +// [core::slice::index::Range::get_unchecked]: forward function +let core_slice_index_Range_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_Range_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_Range_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_Range_index_mut + (t : Type0) : core_ops_range_Range usize → slice t → result (slice t) = + admit () // TODO + +// [core::slice::index::Range::index_mut]: backward function 0 +let core_slice_index_Range_index_mut_back + (t : Type0) : core_ops_range_Range usize → 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 = + admit () // + +// [core::slice::index::[T]::index_mut]: backward function 0 +let core_slice_index_Slice_index_mut_back + (t idx : Type0) (inst : core_slice_index_SliceIndex idx (slice t)) : + slice t → idx → inst.output → result (slice t) = + admit () // TODO + +// [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 = + admit () // TODO + +// [core::array::[T; N]::index_mut]: backward function 0 +let core_array_Array_index_mut_back + (t idx : Type0) (n : usize) (inst : core_ops_index_IndexMut (slice t) idx) + (a : array t n) (i : idx) (x : inst.indexInst.output) : result (array t n) = + admit () // TODO + +// Trait implementation: [core::slice::index::[T]] +let core_slice_index_Slice_coreopsindexIndexInst (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::private_slice_index::Range] +let core_slice_index_private_slice_index_Range_coresliceindexprivate_slice_indexSealedInst + : core_slice_index_private_slice_index_Sealed (core_ops_range_Range usize) = () + +// Trait implementation: [core::slice::index::Range] +let core_slice_index_Range_coresliceindexSliceIndexInst (t : Type0) : + core_slice_index_SliceIndex (core_ops_range_Range usize) (slice t) = { + sealedInst = core_slice_index_private_slice_index_Range_coresliceindexprivate_slice_indexSealedInst; + output = slice t; + get = core_slice_index_Range_get t; + get_mut = core_slice_index_Range_get_mut t; + get_mut_back = core_slice_index_Range_get_mut_back t; + get_unchecked = core_slice_index_Range_get_unchecked t; + get_unchecked_mut = core_slice_index_Range_get_unchecked_mut t; + index = core_slice_index_Range_index t; + index_mut = core_slice_index_Range_index_mut t; + index_mut_back = core_slice_index_Range_index_mut_back t; +} + +// Trait implementation: [core::slice::index::[T]] +let core_slice_index_Slice_coreopsindexIndexMutInst (t idx : Type0) + (inst : core_slice_index_SliceIndex idx (slice t)) : + core_ops_index_IndexMut (slice t) idx = { + indexInst = core_slice_index_Slice_coreopsindexIndexInst t idx inst; + index_mut = core_slice_index_Slice_index_mut t idx inst; + index_mut_back = core_slice_index_Slice_index_mut_back t idx inst; +} + +// Trait implementation: [core::array::[T; N]] +let core_array_Array_coreopsindexIndexInst (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_array_Array_coreopsindexIndexMutInst (t idx : Type0) (n : usize) + (inst : core_ops_index_IndexMut (slice t) idx) : + core_ops_index_IndexMut (array t n) idx = { + indexInst = core_array_Array_coreopsindexIndexInst t idx n inst.indexInst; + index_mut = core_array_Array_index_mut t idx n inst; + index_mut_back = core_array_Array_index_mut_back 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) = + admit () // TODO + +// [core::slice::index::usize::get_mut]: backward function 0 +let core_slice_index_usize_get_mut_back + (t : Type0) : usize → slice 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 = + admit () // TODO + +// [core::slice::index::usize::index_mut]: backward function 0 +let core_slice_index_usize_index_mut_back + (t : Type0) : usize → slice t → t → result (slice t) = + admit () // TODO + +// Trait implementation: [core::slice::index::private_slice_index::usize] +let core_slice_index_private_slice_index_usize_coresliceindexprivate_slice_indexSealedInst + : core_slice_index_private_slice_index_Sealed usize = () + +// Trait implementation: [core::slice::index::usize] +let core_slice_index_usize_coresliceindexSliceIndexInst (t : Type0) : + core_slice_index_SliceIndex usize (slice t) = { + sealedInst = core_slice_index_private_slice_index_usize_coresliceindexprivate_slice_indexSealedInst; + output = t; + get = core_slice_index_usize_get t; + get_mut = core_slice_index_usize_get_mut t; + get_mut_back = core_slice_index_usize_get_mut_back 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; + index_mut_back = core_slice_index_usize_index_mut_back 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 = + admit () // TODO + +// [alloc::vec::Vec::index_mut]: backward function 0 +let alloc_vec_Vec_index_mut_back + (t idx : Type0) (inst : core_slice_index_SliceIndex idx (slice t)) + (self : alloc_vec_Vec t) (i : idx) (x : 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; + index_mut_back = alloc_vec_Vec_index_mut_back 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_usize_coresliceindexSliceIndexInst a) v i == + alloc_vec_Vec_index_usize v i) + [SMTPat (alloc_vec_Vec_index a usize (core_slice_index_usize_coresliceindexSliceIndexInst 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_usize_coresliceindexSliceIndexInst a) v i == + alloc_vec_Vec_index_usize v i) + [SMTPat (alloc_vec_Vec_index_mut a usize (core_slice_index_usize_coresliceindexSliceIndexInst a) v i)] + = + admit() + +let alloc_vec_Vec_index_mut_back_eq (#a : Type0) (v : alloc_vec_Vec a) (i : usize) (x : a) : + Lemma ( + alloc_vec_Vec_index_mut_back a usize (core_slice_index_usize_coresliceindexSliceIndexInst a) v i x == + alloc_vec_Vec_update_usize v i x) + [SMTPat (alloc_vec_Vec_index_mut_back a usize (core_slice_index_usize_coresliceindexSliceIndexInst a) v i x)] + = + admit() diff --git a/tests/fstar/misc/Constants.fst b/tests/fstar/misc/Constants.fst index d2b0415e..c21d6a5f 100644 --- a/tests/fstar/misc/Constants.fst +++ b/tests/fstar/misc/Constants.fst @@ -9,12 +9,8 @@ open Primitives let x0_body : result u32 = Return 0 let x0_c : u32 = eval_global x0_body -(** [core::num::u32::{8}::MAX] *) -let core_num_u32_max_body : result u32 = Return 4294967295 -let core_num_u32_max_c : u32 = eval_global core_num_u32_max_body - (** [constants::X1] *) -let x1_body : result u32 = Return core_num_u32_max_c +let x1_body : result u32 = Return core_u32_max let x1_c : u32 = eval_global x1_body (** [constants::X2] *) @@ -22,30 +18,30 @@ let x2_body : result u32 = Return 3 let x2_c : u32 = eval_global x2_body (** [constants::incr]: forward function *) -let incr_fwd (n : u32) : result u32 = +let incr (n : u32) : result u32 = u32_add n 1 (** [constants::X3] *) -let x3_body : result u32 = incr_fwd 32 +let x3_body : result u32 = incr 32 let x3_c : u32 = eval_global x3_body (** [constants::mk_pair0]: forward function *) -let mk_pair0_fwd (x : u32) (y : u32) : result (u32 & u32) = +let mk_pair0 (x : u32) (y : u32) : result (u32 & u32) = Return (x, y) (** [constants::Pair] *) -type pair_t (t1 t2 : Type0) = { pair_x : t1; pair_y : t2; } +type pair_t (t1 t2 : Type0) = { x : t1; y : t2; } (** [constants::mk_pair1]: forward function *) -let mk_pair1_fwd (x : u32) (y : u32) : result (pair_t u32 u32) = - Return { pair_x = x; pair_y = y } +let mk_pair1 (x : u32) (y : u32) : result (pair_t u32 u32) = + Return { x = x; y = y } (** [constants::P0] *) -let p0_body : result (u32 & u32) = mk_pair0_fwd 0 1 +let p0_body : result (u32 & u32) = mk_pair0 0 1 let p0_c : (u32 & u32) = eval_global p0_body (** [constants::P1] *) -let p1_body : result (pair_t u32 u32) = mk_pair1_fwd 0 1 +let p1_body : result (pair_t u32 u32) = mk_pair1 0 1 let p1_c : pair_t u32 u32 = eval_global p1_body (** [constants::P2] *) @@ -53,26 +49,26 @@ let p2_body : result (u32 & u32) = Return (0, 1) let p2_c : (u32 & u32) = eval_global p2_body (** [constants::P3] *) -let p3_body : result (pair_t u32 u32) = Return { pair_x = 0; pair_y = 1 } +let p3_body : result (pair_t u32 u32) = Return { x = 0; y = 1 } let p3_c : pair_t u32 u32 = eval_global p3_body (** [constants::Wrap] *) -type wrap_t (t : Type0) = { wrap_val : t; } +type wrap_t (t : Type0) = { value : t; } (** [constants::Wrap::{0}::new]: forward function *) -let wrap_new_fwd (t : Type0) (val0 : t) : result (wrap_t t) = - Return { wrap_val = val0 } +let wrap_new (t : Type0) (value : t) : result (wrap_t t) = + Return { value = value } (** [constants::Y] *) -let y_body : result (wrap_t i32) = wrap_new_fwd i32 2 +let y_body : result (wrap_t i32) = wrap_new i32 2 let y_c : wrap_t i32 = eval_global y_body (** [constants::unwrap_y]: forward function *) -let unwrap_y_fwd : result i32 = - Return y_c.wrap_val +let unwrap_y : result i32 = + Return y_c.value (** [constants::YVAL] *) -let yval_body : result i32 = unwrap_y_fwd +let yval_body : result i32 = unwrap_y let yval_c : i32 = eval_global yval_body (** [constants::get_z1::Z1] *) @@ -80,11 +76,11 @@ let get_z1_z1_body : result i32 = Return 3 let get_z1_z1_c : i32 = eval_global get_z1_z1_body (** [constants::get_z1]: forward function *) -let get_z1_fwd : result i32 = +let get_z1 : result i32 = Return get_z1_z1_c (** [constants::add]: forward function *) -let add_fwd (a : i32) (b : i32) : result i32 = +let add (a : i32) (b : i32) : result i32 = i32_add a b (** [constants::Q1] *) @@ -96,19 +92,19 @@ let q2_body : result i32 = Return q1_c let q2_c : i32 = eval_global q2_body (** [constants::Q3] *) -let q3_body : result i32 = add_fwd q2_c 3 +let q3_body : result i32 = add q2_c 3 let q3_c : i32 = eval_global q3_body (** [constants::get_z2]: forward function *) -let get_z2_fwd : result i32 = - let* i = get_z1_fwd in let* i0 = add_fwd i q3_c in add_fwd q1_c i0 +let get_z2 : result i32 = + let* i = get_z1 in let* i0 = add i q3_c in add q1_c i0 (** [constants::S1] *) let s1_body : result u32 = Return 6 let s1_c : u32 = eval_global s1_body (** [constants::S2] *) -let s2_body : result u32 = incr_fwd s1_c +let s2_body : result u32 = incr s1_c let s2_c : u32 = eval_global s2_body (** [constants::S3] *) @@ -116,6 +112,6 @@ let s3_body : result (pair_t u32 u32) = Return p3_c let s3_c : pair_t u32 u32 = eval_global s3_body (** [constants::S4] *) -let s4_body : result (pair_t u32 u32) = mk_pair1_fwd 7 8 +let s4_body : result (pair_t u32 u32) = mk_pair1 7 8 let s4_c : pair_t u32 u32 = eval_global s4_body diff --git a/tests/fstar/misc/External.Funs.fst b/tests/fstar/misc/External.Funs.fst index f118a2cf..e26014ac 100644 --- a/tests/fstar/misc/External.Funs.fst +++ b/tests/fstar/misc/External.Funs.fst @@ -8,8 +8,8 @@ include External.Opaque #set-options "--z3rlimit 50 --fuel 1 --ifuel 1" (** [external::swap]: forward function *) -let swap_fwd (t : Type0) (x : t) (y : t) (st : state) : result (state & unit) = - let* (st0, _) = core_mem_swap_fwd t x y st in +let swap (t : Type0) (x : t) (y : t) (st : state) : result (state & unit) = + let* (st0, _) = core_mem_swap t x y st in let* (st1, _) = core_mem_swap_back0 t x y st st0 in let* (st2, _) = core_mem_swap_back1 t x y st st1 in Return (st2, ()) @@ -19,28 +19,29 @@ let swap_back (t : Type0) (x : t) (y : t) (st : state) (st0 : state) : result (state & (t & t)) = - let* (st1, _) = core_mem_swap_fwd t x y st in + let* (st1, _) = core_mem_swap t x y st in let* (st2, x0) = core_mem_swap_back0 t x y st st1 in let* (_, y0) = core_mem_swap_back1 t x y st st2 in Return (st0, (x0, y0)) (** [external::test_new_non_zero_u32]: forward function *) -let test_new_non_zero_u32_fwd - (x : u32) (st : state) : result (state & core_num_nonzero_non_zero_u32_t) = - let* (st0, opt) = core_num_nonzero_non_zero_u32_new_fwd x st in - core_option_option_unwrap_fwd core_num_nonzero_non_zero_u32_t opt st0 +let test_new_non_zero_u32 + (x : u32) (st : state) : result (state & core_num_nonzero_NonZeroU32_t) = + let* (st0, o) = core_num_nonzero_NonZeroU32_new x st in + core_option_Option_unwrap core_num_nonzero_NonZeroU32_t o st0 (** [external::test_vec]: forward function *) -let test_vec_fwd : result unit = - let v = vec_new u32 in let* _ = vec_push_back u32 v 0 in Return () +let test_vec : result unit = + let v = alloc_vec_Vec_new u32 in + let* _ = alloc_vec_Vec_push u32 v 0 in + Return () (** Unit test for [external::test_vec] *) -let _ = assert_norm (test_vec_fwd = Return ()) +let _ = assert_norm (test_vec = Return ()) (** [external::custom_swap]: forward function *) -let custom_swap_fwd - (t : Type0) (x : t) (y : t) (st : state) : result (state & t) = - let* (st0, _) = core_mem_swap_fwd t x y st in +let custom_swap (t : Type0) (x : t) (y : t) (st : state) : result (state & t) = + let* (st0, _) = core_mem_swap t x y st in let* (st1, x0) = core_mem_swap_back0 t x y st st0 in let* (st2, _) = core_mem_swap_back1 t x y st st1 in Return (st2, x0) @@ -50,15 +51,14 @@ let custom_swap_back (t : Type0) (x : t) (y : t) (st : state) (ret : t) (st0 : state) : result (state & (t & t)) = - let* (st1, _) = core_mem_swap_fwd t x y st in + let* (st1, _) = core_mem_swap t x y st in let* (st2, _) = core_mem_swap_back0 t x y st st1 in let* (_, y0) = core_mem_swap_back1 t x y st st2 in Return (st0, (ret, y0)) (** [external::test_custom_swap]: forward function *) -let test_custom_swap_fwd - (x : u32) (y : u32) (st : state) : result (state & unit) = - let* (st0, _) = custom_swap_fwd u32 x y st in Return (st0, ()) +let test_custom_swap (x : u32) (y : u32) (st : state) : result (state & unit) = + let* (st0, _) = custom_swap u32 x y st in Return (st0, ()) (** [external::test_custom_swap]: backward function 0 *) let test_custom_swap_back @@ -68,8 +68,8 @@ let test_custom_swap_back custom_swap_back u32 x y st 1 st0 (** [external::test_swap_non_zero]: forward function *) -let test_swap_non_zero_fwd (x : u32) (st : state) : result (state & u32) = - let* (st0, _) = swap_fwd u32 x 0 st in +let test_swap_non_zero (x : u32) (st : state) : result (state & u32) = + let* (st0, _) = swap u32 x 0 st in let* (st1, (x0, _)) = swap_back u32 x 0 st st0 in if x0 = 0 then Fail Failure else Return (st1, x0) diff --git a/tests/fstar/misc/External.Opaque.fsti b/tests/fstar/misc/External.Opaque.fsti index 2e19f767..85cf285c 100644 --- a/tests/fstar/misc/External.Opaque.fsti +++ b/tests/fstar/misc/External.Opaque.fsti @@ -7,7 +7,7 @@ include External.Types #set-options "--z3rlimit 50 --fuel 1 --ifuel 1" (** [core::mem::swap]: forward function *) -val core_mem_swap_fwd (t : Type0) : t -> t -> state -> result (state & unit) +val core_mem_swap (t : Type0) : t -> t -> state -> result (state & unit) (** [core::mem::swap]: backward function 0 *) val core_mem_swap_back0 @@ -18,10 +18,10 @@ val core_mem_swap_back1 (t : Type0) : t -> t -> state -> state -> result (state & t) (** [core::num::nonzero::NonZeroU32::{14}::new]: forward function *) -val core_num_nonzero_non_zero_u32_new_fwd - : u32 -> state -> result (state & (option core_num_nonzero_non_zero_u32_t)) +val core_num_nonzero_NonZeroU32_new + : u32 -> state -> result (state & (option core_num_nonzero_NonZeroU32_t)) (** [core::option::Option::{0}::unwrap]: forward function *) -val core_option_option_unwrap_fwd +val core_option_Option_unwrap (t : Type0) : option t -> state -> result (state & t) diff --git a/tests/fstar/misc/External.Types.fsti b/tests/fstar/misc/External.Types.fsti index 4a13a744..78b5228d 100644 --- a/tests/fstar/misc/External.Types.fsti +++ b/tests/fstar/misc/External.Types.fsti @@ -6,7 +6,7 @@ open Primitives #set-options "--z3rlimit 50 --fuel 1 --ifuel 1" (** [core::num::nonzero::NonZeroU32] *) -val core_num_nonzero_non_zero_u32_t : Type0 +val core_num_nonzero_NonZeroU32_t : Type0 (** The state type used in the state-error monad *) val state : Type0 diff --git a/tests/fstar/misc/Loops.Clauses.Template.fst b/tests/fstar/misc/Loops.Clauses.Template.fst index 053b7663..9920bdc1 100644 --- a/tests/fstar/misc/Loops.Clauses.Template.fst +++ b/tests/fstar/misc/Loops.Clauses.Template.fst @@ -22,7 +22,8 @@ let sum_with_shared_borrows_loop_decreases (max : u32) (i : u32) (s : u32) : admit () (** [loops::clear]: decreases clause *) -unfold let clear_loop_decreases (v : vec u32) (i : usize) : nat = admit () +unfold +let clear_loop_decreases (v : alloc_vec_Vec u32) (i : usize) : nat = admit () (** [loops::list_mem]: decreases clause *) unfold let list_mem_loop_decreases (x : u32) (ls : list_t u32) : nat = admit () diff --git a/tests/fstar/misc/Loops.Clauses.fst b/tests/fstar/misc/Loops.Clauses.fst index 82f34de1..75194437 100644 --- a/tests/fstar/misc/Loops.Clauses.fst +++ b/tests/fstar/misc/Loops.Clauses.fst @@ -20,7 +20,7 @@ let sum_with_shared_borrows_loop_decreases (max : u32) (i : u32) (s : u32) : nat if max >= i then max - i else 0 (** [loops::clear]: decreases clause *) -unfold let clear_loop_decreases (v : vec u32) (i : usize) : nat = +unfold let clear_loop_decreases (v : alloc_vec_Vec u32) (i : usize) : nat = if i <= List.Tot.length v then List.Tot.length v - i else 0 (** [loops::list_mem]: decreases clause *) diff --git a/tests/fstar/misc/Loops.Funs.fst b/tests/fstar/misc/Loops.Funs.fst index 9a80f415..0f755351 100644 --- a/tests/fstar/misc/Loops.Funs.fst +++ b/tests/fstar/misc/Loops.Funs.fst @@ -8,20 +8,20 @@ include Loops.Clauses #set-options "--z3rlimit 50 --fuel 1 --ifuel 1" (** [loops::sum]: loop 0: forward function *) -let rec sum_loop_fwd +let rec sum_loop (max : u32) (i : u32) (s : u32) : Tot (result u32) (decreases (sum_loop_decreases max i s)) = if i < max - then let* s0 = u32_add s i in let* i0 = u32_add i 1 in sum_loop_fwd max i0 s0 + then let* s0 = u32_add s i in let* i0 = u32_add i 1 in sum_loop max i0 s0 else u32_mul s 2 (** [loops::sum]: forward function *) -let sum_fwd (max : u32) : result u32 = - sum_loop_fwd max 0 0 +let sum (max : u32) : result u32 = + sum_loop max 0 0 (** [loops::sum_with_mut_borrows]: loop 0: forward function *) -let rec sum_with_mut_borrows_loop_fwd +let rec sum_with_mut_borrows_loop (max : u32) (mi : u32) (ms : u32) : Tot (result u32) (decreases (sum_with_mut_borrows_loop_decreases max mi ms)) = @@ -29,15 +29,15 @@ let rec sum_with_mut_borrows_loop_fwd then let* ms0 = u32_add ms mi in let* mi0 = u32_add mi 1 in - sum_with_mut_borrows_loop_fwd max mi0 ms0 + sum_with_mut_borrows_loop max mi0 ms0 else u32_mul ms 2 (** [loops::sum_with_mut_borrows]: forward function *) -let sum_with_mut_borrows_fwd (max : u32) : result u32 = - sum_with_mut_borrows_loop_fwd max 0 0 +let sum_with_mut_borrows (max : u32) : result u32 = + sum_with_mut_borrows_loop max 0 0 (** [loops::sum_with_shared_borrows]: loop 0: forward function *) -let rec sum_with_shared_borrows_loop_fwd +let rec sum_with_shared_borrows_loop (max : u32) (i : u32) (s : u32) : Tot (result u32) (decreases (sum_with_shared_borrows_loop_decreases max i s)) = @@ -45,62 +45,64 @@ let rec sum_with_shared_borrows_loop_fwd then let* i0 = u32_add i 1 in let* s0 = u32_add s i0 in - sum_with_shared_borrows_loop_fwd max i0 s0 + sum_with_shared_borrows_loop max i0 s0 else u32_mul s 2 (** [loops::sum_with_shared_borrows]: forward function *) -let sum_with_shared_borrows_fwd (max : u32) : result u32 = - sum_with_shared_borrows_loop_fwd max 0 0 +let sum_with_shared_borrows (max : u32) : result u32 = + sum_with_shared_borrows_loop max 0 0 (** [loops::clear]: loop 0: merged forward/backward function (there is a single backward function, and the forward function returns ()) *) -let rec clear_loop_fwd_back - (v : vec u32) (i : usize) : - Tot (result (vec u32)) (decreases (clear_loop_decreases v i)) +let rec clear_loop + (v : alloc_vec_Vec u32) (i : usize) : + Tot (result (alloc_vec_Vec u32)) (decreases (clear_loop_decreases v i)) = - let i0 = vec_len u32 v in + let i0 = alloc_vec_Vec_len u32 v in if i < i0 then let* i1 = usize_add i 1 in - let* v0 = vec_index_mut_back u32 v i 0 in - clear_loop_fwd_back v0 i1 + let* v0 = + alloc_vec_Vec_index_mut_back u32 usize + (core_slice_index_usize_coresliceindexSliceIndexInst u32) v i 0 in + clear_loop v0 i1 else Return v (** [loops::clear]: merged forward/backward function (there is a single backward function, and the forward function returns ()) *) -let clear_fwd_back (v : vec u32) : result (vec u32) = - clear_loop_fwd_back v 0 +let clear (v : alloc_vec_Vec u32) : result (alloc_vec_Vec u32) = + clear_loop v 0 (** [loops::list_mem]: loop 0: forward function *) -let rec list_mem_loop_fwd +let rec list_mem_loop (x : u32) (ls : list_t u32) : Tot (result bool) (decreases (list_mem_loop_decreases x ls)) = begin match ls with - | ListCons y tl -> if y = x then Return true else list_mem_loop_fwd x tl - | ListNil -> Return false + | List_Cons y tl -> if y = x then Return true else list_mem_loop x tl + | List_Nil -> Return false end (** [loops::list_mem]: forward function *) -let list_mem_fwd (x : u32) (ls : list_t u32) : result bool = - list_mem_loop_fwd x ls +let list_mem (x : u32) (ls : list_t u32) : result bool = + list_mem_loop x ls (** [loops::list_nth_mut_loop]: loop 0: forward function *) -let rec list_nth_mut_loop_loop_fwd +let rec list_nth_mut_loop_loop (t : Type0) (ls : list_t t) (i : u32) : Tot (result t) (decreases (list_nth_mut_loop_loop_decreases t ls i)) = begin match ls with - | ListCons x tl -> + | List_Cons x tl -> if i = 0 then Return x - else let* i0 = u32_sub i 1 in list_nth_mut_loop_loop_fwd t tl i0 - | ListNil -> Fail Failure + else let* i0 = u32_sub i 1 in list_nth_mut_loop_loop t tl i0 + | List_Nil -> Fail Failure end (** [loops::list_nth_mut_loop]: forward function *) -let list_nth_mut_loop_fwd (t : Type0) (ls : list_t t) (i : u32) : result t = - list_nth_mut_loop_loop_fwd t ls i +let list_nth_mut_loop (t : Type0) (ls : list_t t) (i : u32) : result t = + list_nth_mut_loop_loop t ls i (** [loops::list_nth_mut_loop]: loop 0: backward function 0 *) let rec list_nth_mut_loop_loop_back @@ -108,14 +110,14 @@ let rec list_nth_mut_loop_loop_back Tot (result (list_t t)) (decreases (list_nth_mut_loop_loop_decreases t ls i)) = begin match ls with - | ListCons x tl -> + | List_Cons x tl -> if i = 0 - then Return (ListCons ret tl) + then Return (List_Cons ret tl) else let* i0 = u32_sub i 1 in let* tl0 = list_nth_mut_loop_loop_back t tl i0 ret in - Return (ListCons x tl0) - | ListNil -> Fail Failure + Return (List_Cons x tl0) + | List_Nil -> Fail Failure end (** [loops::list_nth_mut_loop]: backward function 0 *) @@ -124,36 +126,40 @@ let list_nth_mut_loop_back list_nth_mut_loop_loop_back t ls i ret (** [loops::list_nth_shared_loop]: loop 0: forward function *) -let rec list_nth_shared_loop_loop_fwd +let rec list_nth_shared_loop_loop (t : Type0) (ls : list_t t) (i : u32) : Tot (result t) (decreases (list_nth_shared_loop_loop_decreases t ls i)) = begin match ls with - | ListCons x tl -> + | List_Cons x tl -> if i = 0 then Return x - else let* i0 = u32_sub i 1 in list_nth_shared_loop_loop_fwd t tl i0 - | ListNil -> Fail Failure + else let* i0 = u32_sub i 1 in list_nth_shared_loop_loop t tl i0 + | List_Nil -> Fail Failure end (** [loops::list_nth_shared_loop]: forward function *) -let list_nth_shared_loop_fwd (t : Type0) (ls : list_t t) (i : u32) : result t = - list_nth_shared_loop_loop_fwd t ls i +let list_nth_shared_loop (t : Type0) (ls : list_t t) (i : u32) : result t = + list_nth_shared_loop_loop t ls i (** [loops::get_elem_mut]: loop 0: forward function *) -let rec get_elem_mut_loop_fwd +let rec get_elem_mut_loop (x : usize) (ls : list_t usize) : Tot (result usize) (decreases (get_elem_mut_loop_decreases x ls)) = begin match ls with - | ListCons y tl -> if y = x then Return y else get_elem_mut_loop_fwd x tl - | ListNil -> Fail Failure + | List_Cons y tl -> if y = x then Return y else get_elem_mut_loop x tl + | List_Nil -> Fail Failure end (** [loops::get_elem_mut]: forward function *) -let get_elem_mut_fwd (slots : vec (list_t usize)) (x : usize) : result usize = - let* l = vec_index_mut_fwd (list_t usize) slots 0 in - get_elem_mut_loop_fwd x l +let get_elem_mut + (slots : alloc_vec_Vec (list_t usize)) (x : usize) : result usize = + let* l = + alloc_vec_Vec_index_mut (list_t usize) usize + (core_slice_index_usize_coresliceindexSliceIndexInst (list_t usize)) + slots 0 in + get_elem_mut_loop x l (** [loops::get_elem_mut]: loop 0: backward function 0 *) let rec get_elem_mut_loop_back @@ -161,39 +167,48 @@ let rec get_elem_mut_loop_back Tot (result (list_t usize)) (decreases (get_elem_mut_loop_decreases x ls)) = begin match ls with - | ListCons y tl -> + | List_Cons y tl -> if y = x - then Return (ListCons ret tl) - else let* tl0 = get_elem_mut_loop_back x tl ret in Return (ListCons y tl0) - | ListNil -> Fail Failure + then Return (List_Cons ret tl) + else let* tl0 = get_elem_mut_loop_back x tl ret in Return (List_Cons y tl0) + | List_Nil -> Fail Failure end (** [loops::get_elem_mut]: backward function 0 *) let get_elem_mut_back - (slots : vec (list_t usize)) (x : usize) (ret : usize) : - result (vec (list_t usize)) + (slots : alloc_vec_Vec (list_t usize)) (x : usize) (ret : usize) : + result (alloc_vec_Vec (list_t usize)) = - let* l = vec_index_mut_fwd (list_t usize) slots 0 in + let* l = + alloc_vec_Vec_index_mut (list_t usize) usize + (core_slice_index_usize_coresliceindexSliceIndexInst (list_t usize)) + slots 0 in let* l0 = get_elem_mut_loop_back x l ret in - vec_index_mut_back (list_t usize) slots 0 l0 + alloc_vec_Vec_index_mut_back (list_t usize) usize + (core_slice_index_usize_coresliceindexSliceIndexInst (list_t usize)) slots + 0 l0 (** [loops::get_elem_shared]: loop 0: forward function *) -let rec get_elem_shared_loop_fwd +let rec get_elem_shared_loop (x : usize) (ls : list_t usize) : Tot (result usize) (decreases (get_elem_shared_loop_decreases x ls)) = begin match ls with - | ListCons y tl -> if y = x then Return y else get_elem_shared_loop_fwd x tl - | ListNil -> Fail Failure + | List_Cons y tl -> if y = x then Return y else get_elem_shared_loop x tl + | List_Nil -> Fail Failure end (** [loops::get_elem_shared]: forward function *) -let get_elem_shared_fwd - (slots : vec (list_t usize)) (x : usize) : result usize = - let* l = vec_index_fwd (list_t usize) slots 0 in get_elem_shared_loop_fwd x l +let get_elem_shared + (slots : alloc_vec_Vec (list_t usize)) (x : usize) : result usize = + let* l = + alloc_vec_Vec_index (list_t usize) usize + (core_slice_index_usize_coresliceindexSliceIndexInst (list_t usize)) + slots 0 in + get_elem_shared_loop x l (** [loops::id_mut]: forward function *) -let id_mut_fwd (t : Type0) (ls : list_t t) : result (list_t t) = +let id_mut (t : Type0) (ls : list_t t) : result (list_t t) = Return ls (** [loops::id_mut]: backward function 0 *) @@ -202,26 +217,26 @@ let id_mut_back Return ret (** [loops::id_shared]: forward function *) -let id_shared_fwd (t : Type0) (ls : list_t t) : result (list_t t) = +let id_shared (t : Type0) (ls : list_t t) : result (list_t t) = Return ls (** [loops::list_nth_mut_loop_with_id]: loop 0: forward function *) -let rec list_nth_mut_loop_with_id_loop_fwd +let rec list_nth_mut_loop_with_id_loop (t : Type0) (i : u32) (ls : list_t t) : Tot (result t) (decreases (list_nth_mut_loop_with_id_loop_decreases t i ls)) = begin match ls with - | ListCons x tl -> + | List_Cons x tl -> if i = 0 then Return x - else let* i0 = u32_sub i 1 in list_nth_mut_loop_with_id_loop_fwd t i0 tl - | ListNil -> Fail Failure + else let* i0 = u32_sub i 1 in list_nth_mut_loop_with_id_loop t i0 tl + | List_Nil -> Fail Failure end (** [loops::list_nth_mut_loop_with_id]: forward function *) -let list_nth_mut_loop_with_id_fwd +let list_nth_mut_loop_with_id (t : Type0) (ls : list_t t) (i : u32) : result t = - let* ls0 = id_mut_fwd t ls in list_nth_mut_loop_with_id_loop_fwd t i ls0 + let* ls0 = id_mut t ls in list_nth_mut_loop_with_id_loop t i ls0 (** [loops::list_nth_mut_loop_with_id]: loop 0: backward function 0 *) let rec list_nth_mut_loop_with_id_loop_back @@ -230,66 +245,64 @@ let rec list_nth_mut_loop_with_id_loop_back (decreases (list_nth_mut_loop_with_id_loop_decreases t i ls)) = begin match ls with - | ListCons x tl -> + | List_Cons x tl -> if i = 0 - then Return (ListCons ret tl) + then Return (List_Cons ret tl) else let* i0 = u32_sub i 1 in let* tl0 = list_nth_mut_loop_with_id_loop_back t i0 tl ret in - Return (ListCons x tl0) - | ListNil -> Fail Failure + Return (List_Cons x tl0) + | List_Nil -> Fail Failure end (** [loops::list_nth_mut_loop_with_id]: backward function 0 *) let list_nth_mut_loop_with_id_back (t : Type0) (ls : list_t t) (i : u32) (ret : t) : result (list_t t) = - let* ls0 = id_mut_fwd t ls in + let* ls0 = id_mut t ls in let* l = list_nth_mut_loop_with_id_loop_back t i ls0 ret in id_mut_back t ls l (** [loops::list_nth_shared_loop_with_id]: loop 0: forward function *) -let rec list_nth_shared_loop_with_id_loop_fwd +let rec list_nth_shared_loop_with_id_loop (t : Type0) (i : u32) (ls : list_t t) : Tot (result t) (decreases (list_nth_shared_loop_with_id_loop_decreases t i ls)) = begin match ls with - | ListCons x tl -> + | List_Cons x tl -> if i = 0 then Return x - else let* i0 = u32_sub i 1 in list_nth_shared_loop_with_id_loop_fwd t i0 tl - | ListNil -> Fail Failure + else let* i0 = u32_sub i 1 in list_nth_shared_loop_with_id_loop t i0 tl + | List_Nil -> Fail Failure end (** [loops::list_nth_shared_loop_with_id]: forward function *) -let list_nth_shared_loop_with_id_fwd +let list_nth_shared_loop_with_id (t : Type0) (ls : list_t t) (i : u32) : result t = - let* ls0 = id_shared_fwd t ls in - list_nth_shared_loop_with_id_loop_fwd t i ls0 + let* ls0 = id_shared t ls in list_nth_shared_loop_with_id_loop t i ls0 (** [loops::list_nth_mut_loop_pair]: loop 0: forward function *) -let rec list_nth_mut_loop_pair_loop_fwd +let rec list_nth_mut_loop_pair_loop (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) : Tot (result (t & t)) (decreases (list_nth_mut_loop_pair_loop_decreases t ls0 ls1 i)) = begin match ls0 with - | ListCons x0 tl0 -> + | List_Cons x0 tl0 -> begin match ls1 with - | ListCons x1 tl1 -> + | List_Cons x1 tl1 -> if i = 0 then Return (x0, x1) - else - let* i0 = u32_sub i 1 in list_nth_mut_loop_pair_loop_fwd t tl0 tl1 i0 - | ListNil -> Fail Failure + else let* i0 = u32_sub i 1 in list_nth_mut_loop_pair_loop t tl0 tl1 i0 + | List_Nil -> Fail Failure end - | ListNil -> Fail Failure + | List_Nil -> Fail Failure end (** [loops::list_nth_mut_loop_pair]: forward function *) -let list_nth_mut_loop_pair_fwd +let list_nth_mut_loop_pair (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) : result (t & t) = - list_nth_mut_loop_pair_loop_fwd t ls0 ls1 i + list_nth_mut_loop_pair_loop t ls0 ls1 i (** [loops::list_nth_mut_loop_pair]: loop 0: backward function 0 *) let rec list_nth_mut_loop_pair_loop_back'a @@ -298,18 +311,18 @@ let rec list_nth_mut_loop_pair_loop_back'a (decreases (list_nth_mut_loop_pair_loop_decreases t ls0 ls1 i)) = begin match ls0 with - | ListCons x0 tl0 -> + | List_Cons x0 tl0 -> begin match ls1 with - | ListCons x1 tl1 -> + | List_Cons x1 tl1 -> if i = 0 - then Return (ListCons ret tl0) + then Return (List_Cons ret tl0) else let* i0 = u32_sub i 1 in let* tl00 = list_nth_mut_loop_pair_loop_back'a t tl0 tl1 i0 ret in - Return (ListCons x0 tl00) - | ListNil -> Fail Failure + Return (List_Cons x0 tl00) + | List_Nil -> Fail Failure end - | ListNil -> Fail Failure + | List_Nil -> Fail Failure end (** [loops::list_nth_mut_loop_pair]: backward function 0 *) @@ -326,18 +339,18 @@ let rec list_nth_mut_loop_pair_loop_back'b (decreases (list_nth_mut_loop_pair_loop_decreases t ls0 ls1 i)) = begin match ls0 with - | ListCons x0 tl0 -> + | List_Cons x0 tl0 -> begin match ls1 with - | ListCons x1 tl1 -> + | List_Cons x1 tl1 -> if i = 0 - then Return (ListCons ret tl1) + then Return (List_Cons ret tl1) else let* i0 = u32_sub i 1 in let* tl10 = list_nth_mut_loop_pair_loop_back'b t tl0 tl1 i0 ret in - Return (ListCons x1 tl10) - | ListNil -> Fail Failure + Return (List_Cons x1 tl10) + | List_Nil -> Fail Failure end - | ListNil -> Fail Failure + | List_Nil -> Fail Failure end (** [loops::list_nth_mut_loop_pair]: backward function 1 *) @@ -348,54 +361,51 @@ let list_nth_mut_loop_pair_back'b list_nth_mut_loop_pair_loop_back'b t ls0 ls1 i ret (** [loops::list_nth_shared_loop_pair]: loop 0: forward function *) -let rec list_nth_shared_loop_pair_loop_fwd +let rec list_nth_shared_loop_pair_loop (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) : Tot (result (t & t)) (decreases (list_nth_shared_loop_pair_loop_decreases t ls0 ls1 i)) = begin match ls0 with - | ListCons x0 tl0 -> + | List_Cons x0 tl0 -> begin match ls1 with - | ListCons x1 tl1 -> + | List_Cons x1 tl1 -> if i = 0 then Return (x0, x1) - else - let* i0 = u32_sub i 1 in - list_nth_shared_loop_pair_loop_fwd t tl0 tl1 i0 - | ListNil -> Fail Failure + else let* i0 = u32_sub i 1 in list_nth_shared_loop_pair_loop t tl0 tl1 i0 + | List_Nil -> Fail Failure end - | ListNil -> Fail Failure + | List_Nil -> Fail Failure end (** [loops::list_nth_shared_loop_pair]: forward function *) -let list_nth_shared_loop_pair_fwd +let list_nth_shared_loop_pair (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) : result (t & t) = - list_nth_shared_loop_pair_loop_fwd t ls0 ls1 i + list_nth_shared_loop_pair_loop t ls0 ls1 i (** [loops::list_nth_mut_loop_pair_merge]: loop 0: forward function *) -let rec list_nth_mut_loop_pair_merge_loop_fwd +let rec list_nth_mut_loop_pair_merge_loop (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) : Tot (result (t & t)) (decreases (list_nth_mut_loop_pair_merge_loop_decreases t ls0 ls1 i)) = begin match ls0 with - | ListCons x0 tl0 -> + | List_Cons x0 tl0 -> begin match ls1 with - | ListCons x1 tl1 -> + | List_Cons x1 tl1 -> if i = 0 then Return (x0, x1) else - let* i0 = u32_sub i 1 in - list_nth_mut_loop_pair_merge_loop_fwd t tl0 tl1 i0 - | ListNil -> Fail Failure + let* i0 = u32_sub i 1 in list_nth_mut_loop_pair_merge_loop t tl0 tl1 i0 + | List_Nil -> Fail Failure end - | ListNil -> Fail Failure + | List_Nil -> Fail Failure end (** [loops::list_nth_mut_loop_pair_merge]: forward function *) -let list_nth_mut_loop_pair_merge_fwd +let list_nth_mut_loop_pair_merge (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) : result (t & t) = - list_nth_mut_loop_pair_merge_loop_fwd t ls0 ls1 i + list_nth_mut_loop_pair_merge_loop t ls0 ls1 i (** [loops::list_nth_mut_loop_pair_merge]: loop 0: backward function 0 *) let rec list_nth_mut_loop_pair_merge_loop_back @@ -404,19 +414,19 @@ let rec list_nth_mut_loop_pair_merge_loop_back (decreases (list_nth_mut_loop_pair_merge_loop_decreases t ls0 ls1 i)) = begin match ls0 with - | ListCons x0 tl0 -> + | List_Cons x0 tl0 -> begin match ls1 with - | ListCons x1 tl1 -> + | List_Cons x1 tl1 -> if i = 0 - then let (x, x2) = ret in Return (ListCons x tl0, ListCons x2 tl1) + then let (x, x2) = ret in Return (List_Cons x tl0, List_Cons x2 tl1) else let* i0 = u32_sub i 1 in let* (tl00, tl10) = list_nth_mut_loop_pair_merge_loop_back t tl0 tl1 i0 ret in - Return (ListCons x0 tl00, ListCons x1 tl10) - | ListNil -> Fail Failure + Return (List_Cons x0 tl00, List_Cons x1 tl10) + | List_Nil -> Fail Failure end - | ListNil -> Fail Failure + | List_Nil -> Fail Failure end (** [loops::list_nth_mut_loop_pair_merge]: backward function 0 *) @@ -427,54 +437,54 @@ let list_nth_mut_loop_pair_merge_back list_nth_mut_loop_pair_merge_loop_back t ls0 ls1 i ret (** [loops::list_nth_shared_loop_pair_merge]: loop 0: forward function *) -let rec list_nth_shared_loop_pair_merge_loop_fwd +let rec list_nth_shared_loop_pair_merge_loop (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) : Tot (result (t & t)) (decreases (list_nth_shared_loop_pair_merge_loop_decreases t ls0 ls1 i)) = begin match ls0 with - | ListCons x0 tl0 -> + | List_Cons x0 tl0 -> begin match ls1 with - | ListCons x1 tl1 -> + | List_Cons x1 tl1 -> if i = 0 then Return (x0, x1) else let* i0 = u32_sub i 1 in - list_nth_shared_loop_pair_merge_loop_fwd t tl0 tl1 i0 - | ListNil -> Fail Failure + list_nth_shared_loop_pair_merge_loop t tl0 tl1 i0 + | List_Nil -> Fail Failure end - | ListNil -> Fail Failure + | List_Nil -> Fail Failure end (** [loops::list_nth_shared_loop_pair_merge]: forward function *) -let list_nth_shared_loop_pair_merge_fwd +let list_nth_shared_loop_pair_merge (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) : result (t & t) = - list_nth_shared_loop_pair_merge_loop_fwd t ls0 ls1 i + list_nth_shared_loop_pair_merge_loop t ls0 ls1 i (** [loops::list_nth_mut_shared_loop_pair]: loop 0: forward function *) -let rec list_nth_mut_shared_loop_pair_loop_fwd +let rec list_nth_mut_shared_loop_pair_loop (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) : Tot (result (t & t)) (decreases (list_nth_mut_shared_loop_pair_loop_decreases t ls0 ls1 i)) = begin match ls0 with - | ListCons x0 tl0 -> + | List_Cons x0 tl0 -> begin match ls1 with - | ListCons x1 tl1 -> + | List_Cons x1 tl1 -> if i = 0 then Return (x0, x1) else let* i0 = u32_sub i 1 in - list_nth_mut_shared_loop_pair_loop_fwd t tl0 tl1 i0 - | ListNil -> Fail Failure + list_nth_mut_shared_loop_pair_loop t tl0 tl1 i0 + | List_Nil -> Fail Failure end - | ListNil -> Fail Failure + | List_Nil -> Fail Failure end (** [loops::list_nth_mut_shared_loop_pair]: forward function *) -let list_nth_mut_shared_loop_pair_fwd +let list_nth_mut_shared_loop_pair (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) : result (t & t) = - list_nth_mut_shared_loop_pair_loop_fwd t ls0 ls1 i + list_nth_mut_shared_loop_pair_loop t ls0 ls1 i (** [loops::list_nth_mut_shared_loop_pair]: loop 0: backward function 0 *) let rec list_nth_mut_shared_loop_pair_loop_back @@ -483,18 +493,18 @@ let rec list_nth_mut_shared_loop_pair_loop_back (decreases (list_nth_mut_shared_loop_pair_loop_decreases t ls0 ls1 i)) = begin match ls0 with - | ListCons x0 tl0 -> + | List_Cons x0 tl0 -> begin match ls1 with - | ListCons x1 tl1 -> + | List_Cons x1 tl1 -> if i = 0 - then Return (ListCons ret tl0) + then Return (List_Cons ret tl0) else let* i0 = u32_sub i 1 in let* tl00 = list_nth_mut_shared_loop_pair_loop_back t tl0 tl1 i0 ret in - Return (ListCons x0 tl00) - | ListNil -> Fail Failure + Return (List_Cons x0 tl00) + | List_Nil -> Fail Failure end - | ListNil -> Fail Failure + | List_Nil -> Fail Failure end (** [loops::list_nth_mut_shared_loop_pair]: backward function 0 *) @@ -505,29 +515,29 @@ let list_nth_mut_shared_loop_pair_back list_nth_mut_shared_loop_pair_loop_back t ls0 ls1 i ret (** [loops::list_nth_mut_shared_loop_pair_merge]: loop 0: forward function *) -let rec list_nth_mut_shared_loop_pair_merge_loop_fwd +let rec list_nth_mut_shared_loop_pair_merge_loop (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) : Tot (result (t & t)) (decreases (list_nth_mut_shared_loop_pair_merge_loop_decreases t ls0 ls1 i)) = begin match ls0 with - | ListCons x0 tl0 -> + | List_Cons x0 tl0 -> begin match ls1 with - | ListCons x1 tl1 -> + | List_Cons x1 tl1 -> if i = 0 then Return (x0, x1) else let* i0 = u32_sub i 1 in - list_nth_mut_shared_loop_pair_merge_loop_fwd t tl0 tl1 i0 - | ListNil -> Fail Failure + list_nth_mut_shared_loop_pair_merge_loop t tl0 tl1 i0 + | List_Nil -> Fail Failure end - | ListNil -> Fail Failure + | List_Nil -> Fail Failure end (** [loops::list_nth_mut_shared_loop_pair_merge]: forward function *) -let list_nth_mut_shared_loop_pair_merge_fwd +let list_nth_mut_shared_loop_pair_merge (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) : result (t & t) = - list_nth_mut_shared_loop_pair_merge_loop_fwd t ls0 ls1 i + list_nth_mut_shared_loop_pair_merge_loop t ls0 ls1 i (** [loops::list_nth_mut_shared_loop_pair_merge]: loop 0: backward function 0 *) let rec list_nth_mut_shared_loop_pair_merge_loop_back @@ -536,19 +546,19 @@ let rec list_nth_mut_shared_loop_pair_merge_loop_back (decreases (list_nth_mut_shared_loop_pair_merge_loop_decreases t ls0 ls1 i)) = begin match ls0 with - | ListCons x0 tl0 -> + | List_Cons x0 tl0 -> begin match ls1 with - | ListCons x1 tl1 -> + | List_Cons x1 tl1 -> if i = 0 - then Return (ListCons ret tl0) + then Return (List_Cons ret tl0) else let* i0 = u32_sub i 1 in let* tl00 = list_nth_mut_shared_loop_pair_merge_loop_back t tl0 tl1 i0 ret in - Return (ListCons x0 tl00) - | ListNil -> Fail Failure + Return (List_Cons x0 tl00) + | List_Nil -> Fail Failure end - | ListNil -> Fail Failure + | List_Nil -> Fail Failure end (** [loops::list_nth_mut_shared_loop_pair_merge]: backward function 0 *) @@ -559,29 +569,29 @@ let list_nth_mut_shared_loop_pair_merge_back list_nth_mut_shared_loop_pair_merge_loop_back t ls0 ls1 i ret (** [loops::list_nth_shared_mut_loop_pair]: loop 0: forward function *) -let rec list_nth_shared_mut_loop_pair_loop_fwd +let rec list_nth_shared_mut_loop_pair_loop (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) : Tot (result (t & t)) (decreases (list_nth_shared_mut_loop_pair_loop_decreases t ls0 ls1 i)) = begin match ls0 with - | ListCons x0 tl0 -> + | List_Cons x0 tl0 -> begin match ls1 with - | ListCons x1 tl1 -> + | List_Cons x1 tl1 -> if i = 0 then Return (x0, x1) else let* i0 = u32_sub i 1 in - list_nth_shared_mut_loop_pair_loop_fwd t tl0 tl1 i0 - | ListNil -> Fail Failure + list_nth_shared_mut_loop_pair_loop t tl0 tl1 i0 + | List_Nil -> Fail Failure end - | ListNil -> Fail Failure + | List_Nil -> Fail Failure end (** [loops::list_nth_shared_mut_loop_pair]: forward function *) -let list_nth_shared_mut_loop_pair_fwd +let list_nth_shared_mut_loop_pair (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) : result (t & t) = - list_nth_shared_mut_loop_pair_loop_fwd t ls0 ls1 i + list_nth_shared_mut_loop_pair_loop t ls0 ls1 i (** [loops::list_nth_shared_mut_loop_pair]: loop 0: backward function 1 *) let rec list_nth_shared_mut_loop_pair_loop_back @@ -590,18 +600,18 @@ let rec list_nth_shared_mut_loop_pair_loop_back (decreases (list_nth_shared_mut_loop_pair_loop_decreases t ls0 ls1 i)) = begin match ls0 with - | ListCons x0 tl0 -> + | List_Cons x0 tl0 -> begin match ls1 with - | ListCons x1 tl1 -> + | List_Cons x1 tl1 -> if i = 0 - then Return (ListCons ret tl1) + then Return (List_Cons ret tl1) else let* i0 = u32_sub i 1 in let* tl10 = list_nth_shared_mut_loop_pair_loop_back t tl0 tl1 i0 ret in - Return (ListCons x1 tl10) - | ListNil -> Fail Failure + Return (List_Cons x1 tl10) + | List_Nil -> Fail Failure end - | ListNil -> Fail Failure + | List_Nil -> Fail Failure end (** [loops::list_nth_shared_mut_loop_pair]: backward function 1 *) @@ -612,29 +622,29 @@ let list_nth_shared_mut_loop_pair_back list_nth_shared_mut_loop_pair_loop_back t ls0 ls1 i ret (** [loops::list_nth_shared_mut_loop_pair_merge]: loop 0: forward function *) -let rec list_nth_shared_mut_loop_pair_merge_loop_fwd +let rec list_nth_shared_mut_loop_pair_merge_loop (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) : Tot (result (t & t)) (decreases (list_nth_shared_mut_loop_pair_merge_loop_decreases t ls0 ls1 i)) = begin match ls0 with - | ListCons x0 tl0 -> + | List_Cons x0 tl0 -> begin match ls1 with - | ListCons x1 tl1 -> + | List_Cons x1 tl1 -> if i = 0 then Return (x0, x1) else let* i0 = u32_sub i 1 in - list_nth_shared_mut_loop_pair_merge_loop_fwd t tl0 tl1 i0 - | ListNil -> Fail Failure + list_nth_shared_mut_loop_pair_merge_loop t tl0 tl1 i0 + | List_Nil -> Fail Failure end - | ListNil -> Fail Failure + | List_Nil -> Fail Failure end (** [loops::list_nth_shared_mut_loop_pair_merge]: forward function *) -let list_nth_shared_mut_loop_pair_merge_fwd +let list_nth_shared_mut_loop_pair_merge (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) : result (t & t) = - list_nth_shared_mut_loop_pair_merge_loop_fwd t ls0 ls1 i + list_nth_shared_mut_loop_pair_merge_loop t ls0 ls1 i (** [loops::list_nth_shared_mut_loop_pair_merge]: loop 0: backward function 0 *) let rec list_nth_shared_mut_loop_pair_merge_loop_back @@ -643,19 +653,19 @@ let rec list_nth_shared_mut_loop_pair_merge_loop_back (decreases (list_nth_shared_mut_loop_pair_merge_loop_decreases t ls0 ls1 i)) = begin match ls0 with - | ListCons x0 tl0 -> + | List_Cons x0 tl0 -> begin match ls1 with - | ListCons x1 tl1 -> + | List_Cons x1 tl1 -> if i = 0 - then Return (ListCons ret tl1) + then Return (List_Cons ret tl1) else let* i0 = u32_sub i 1 in let* tl10 = list_nth_shared_mut_loop_pair_merge_loop_back t tl0 tl1 i0 ret in - Return (ListCons x1 tl10) - | ListNil -> Fail Failure + Return (List_Cons x1 tl10) + | List_Nil -> Fail Failure end - | ListNil -> Fail Failure + | List_Nil -> Fail Failure end (** [loops::list_nth_shared_mut_loop_pair_merge]: backward function 0 *) diff --git a/tests/fstar/misc/Loops.Types.fst b/tests/fstar/misc/Loops.Types.fst index 2e032fe7..c622c548 100644 --- a/tests/fstar/misc/Loops.Types.fst +++ b/tests/fstar/misc/Loops.Types.fst @@ -7,6 +7,6 @@ open Primitives (** [loops::List] *) type list_t (t : Type0) = -| ListCons : t -> list_t t -> list_t t -| ListNil : list_t t +| List_Cons : t -> list_t t -> list_t t +| List_Nil : list_t t diff --git a/tests/fstar/misc/NoNestedBorrows.fst b/tests/fstar/misc/NoNestedBorrows.fst index 2cdd6e21..e97927aa 100644 --- a/tests/fstar/misc/NoNestedBorrows.fst +++ b/tests/fstar/misc/NoNestedBorrows.fst @@ -6,95 +6,107 @@ open Primitives #set-options "--z3rlimit 50 --fuel 1 --ifuel 1" (** [no_nested_borrows::Pair] *) -type pair_t (t1 t2 : Type0) = { pair_x : t1; pair_y : t2; } +type pair_t (t1 t2 : Type0) = { x : t1; y : t2; } (** [no_nested_borrows::List] *) type list_t (t : Type0) = -| ListCons : t -> list_t t -> list_t t -| ListNil : list_t t +| List_Cons : t -> list_t t -> list_t t +| List_Nil : list_t t (** [no_nested_borrows::One] *) -type one_t (t1 : Type0) = | OneOne : t1 -> one_t t1 +type one_t (t1 : Type0) = | One_One : t1 -> one_t t1 (** [no_nested_borrows::EmptyEnum] *) -type empty_enum_t = | EmptyEnumEmpty : empty_enum_t +type emptyEnum_t = | EmptyEnum_Empty : emptyEnum_t (** [no_nested_borrows::Enum] *) -type enum_t = | EnumVariant1 : enum_t | EnumVariant2 : enum_t +type enum_t = | Enum_Variant1 : enum_t | Enum_Variant2 : enum_t (** [no_nested_borrows::EmptyStruct] *) -type empty_struct_t = unit +type emptyStruct_t = unit (** [no_nested_borrows::Sum] *) type sum_t (t1 t2 : Type0) = -| SumLeft : t1 -> sum_t t1 t2 -| SumRight : t2 -> sum_t t1 t2 +| Sum_Left : t1 -> sum_t t1 t2 +| Sum_Right : t2 -> sum_t t1 t2 (** [no_nested_borrows::neg_test]: forward function *) -let neg_test_fwd (x : i32) : result i32 = +let neg_test (x : i32) : result i32 = i32_neg x (** [no_nested_borrows::add_test]: forward function *) -let add_test_fwd (x : u32) (y : u32) : result u32 = +let add_test (x : u32) (y : u32) : result u32 = u32_add x y (** [no_nested_borrows::subs_test]: forward function *) -let subs_test_fwd (x : u32) (y : u32) : result u32 = +let subs_test (x : u32) (y : u32) : result u32 = u32_sub x y (** [no_nested_borrows::div_test]: forward function *) -let div_test_fwd (x : u32) (y : u32) : result u32 = +let div_test (x : u32) (y : u32) : result u32 = u32_div x y (** [no_nested_borrows::div_test1]: forward function *) -let div_test1_fwd (x : u32) : result u32 = +let div_test1 (x : u32) : result u32 = u32_div x 2 (** [no_nested_borrows::rem_test]: forward function *) -let rem_test_fwd (x : u32) (y : u32) : result u32 = +let rem_test (x : u32) (y : u32) : result u32 = u32_rem x y +(** [no_nested_borrows::mul_test]: forward function *) +let mul_test (x : u32) (y : u32) : result u32 = + u32_mul x y + +(** [no_nested_borrows::CONST0] *) +let const0_body : result usize = usize_add 1 1 +let const0_c : usize = eval_global const0_body + +(** [no_nested_borrows::CONST1] *) +let const1_body : result usize = usize_mul 2 2 +let const1_c : usize = eval_global const1_body + (** [no_nested_borrows::cast_test]: forward function *) -let cast_test_fwd (x : u32) : result i32 = +let cast_test (x : u32) : result i32 = scalar_cast U32 I32 x (** [no_nested_borrows::test2]: forward function *) -let test2_fwd : result unit = +let test2 : result unit = let* _ = u32_add 23 44 in Return () (** Unit test for [no_nested_borrows::test2] *) -let _ = assert_norm (test2_fwd = Return ()) +let _ = assert_norm (test2 = Return ()) (** [no_nested_borrows::get_max]: forward function *) -let get_max_fwd (x : u32) (y : u32) : result u32 = +let get_max (x : u32) (y : u32) : result u32 = if x >= y then Return x else Return y (** [no_nested_borrows::test3]: forward function *) -let test3_fwd : result unit = - let* x = get_max_fwd 4 3 in - let* y = get_max_fwd 10 11 in +let test3 : result unit = + let* x = get_max 4 3 in + let* y = get_max 10 11 in let* z = u32_add x y in if not (z = 15) then Fail Failure else Return () (** Unit test for [no_nested_borrows::test3] *) -let _ = assert_norm (test3_fwd = Return ()) +let _ = assert_norm (test3 = Return ()) (** [no_nested_borrows::test_neg1]: forward function *) -let test_neg1_fwd : result unit = +let test_neg1 : result unit = let* y = i32_neg 3 in if not (y = -3) then Fail Failure else Return () (** Unit test for [no_nested_borrows::test_neg1] *) -let _ = assert_norm (test_neg1_fwd = Return ()) +let _ = assert_norm (test_neg1 = Return ()) (** [no_nested_borrows::refs_test1]: forward function *) -let refs_test1_fwd : result unit = +let refs_test1 : result unit = if not (1 = 1) then Fail Failure else Return () (** Unit test for [no_nested_borrows::refs_test1] *) -let _ = assert_norm (refs_test1_fwd = Return ()) +let _ = assert_norm (refs_test1 = Return ()) (** [no_nested_borrows::refs_test2]: forward function *) -let refs_test2_fwd : result unit = +let refs_test2 : result unit = if not (2 = 2) then Fail Failure else @@ -106,76 +118,76 @@ let refs_test2_fwd : result unit = else if not (2 = 2) then Fail Failure else Return () (** Unit test for [no_nested_borrows::refs_test2] *) -let _ = assert_norm (refs_test2_fwd = Return ()) +let _ = assert_norm (refs_test2 = Return ()) (** [no_nested_borrows::test_list1]: forward function *) -let test_list1_fwd : result unit = +let test_list1 : result unit = Return () (** Unit test for [no_nested_borrows::test_list1] *) -let _ = assert_norm (test_list1_fwd = Return ()) +let _ = assert_norm (test_list1 = Return ()) (** [no_nested_borrows::test_box1]: forward function *) -let test_box1_fwd : result unit = +let test_box1 : result unit = let b = 1 in let x = b in if not (x = 1) then Fail Failure else Return () (** Unit test for [no_nested_borrows::test_box1] *) -let _ = assert_norm (test_box1_fwd = Return ()) +let _ = assert_norm (test_box1 = Return ()) (** [no_nested_borrows::copy_int]: forward function *) -let copy_int_fwd (x : i32) : result i32 = +let copy_int (x : i32) : result i32 = Return x (** [no_nested_borrows::test_unreachable]: forward function *) -let test_unreachable_fwd (b : bool) : result unit = +let test_unreachable (b : bool) : result unit = if b then Fail Failure else Return () (** [no_nested_borrows::test_panic]: forward function *) -let test_panic_fwd (b : bool) : result unit = +let test_panic (b : bool) : result unit = if b then Fail Failure else Return () (** [no_nested_borrows::test_copy_int]: forward function *) -let test_copy_int_fwd : result unit = - let* y = copy_int_fwd 0 in if not (0 = y) then Fail Failure else Return () +let test_copy_int : result unit = + let* y = copy_int 0 in if not (0 = y) then Fail Failure else Return () (** Unit test for [no_nested_borrows::test_copy_int] *) -let _ = assert_norm (test_copy_int_fwd = Return ()) +let _ = assert_norm (test_copy_int = Return ()) (** [no_nested_borrows::is_cons]: forward function *) -let is_cons_fwd (t : Type0) (l : list_t t) : result bool = +let is_cons (t : Type0) (l : list_t t) : result bool = begin match l with - | ListCons x l0 -> Return true - | ListNil -> Return false + | List_Cons x l0 -> Return true + | List_Nil -> Return false end (** [no_nested_borrows::test_is_cons]: forward function *) -let test_is_cons_fwd : result unit = - let l = ListNil in - let* b = is_cons_fwd i32 (ListCons 0 l) in +let test_is_cons : result unit = + let l = List_Nil in + let* b = is_cons i32 (List_Cons 0 l) in if not b then Fail Failure else Return () (** Unit test for [no_nested_borrows::test_is_cons] *) -let _ = assert_norm (test_is_cons_fwd = Return ()) +let _ = assert_norm (test_is_cons = Return ()) (** [no_nested_borrows::split_list]: forward function *) -let split_list_fwd (t : Type0) (l : list_t t) : result (t & (list_t t)) = +let split_list (t : Type0) (l : list_t t) : result (t & (list_t t)) = begin match l with - | ListCons hd tl -> Return (hd, tl) - | ListNil -> Fail Failure + | List_Cons hd tl -> Return (hd, tl) + | List_Nil -> Fail Failure end (** [no_nested_borrows::test_split_list]: forward function *) -let test_split_list_fwd : result unit = - let l = ListNil in - let* p = split_list_fwd i32 (ListCons 0 l) in +let test_split_list : result unit = + let l = List_Nil in + let* p = split_list i32 (List_Cons 0 l) in let (hd, _) = p in if not (hd = 0) then Fail Failure else Return () (** Unit test for [no_nested_borrows::test_split_list] *) -let _ = assert_norm (test_split_list_fwd = Return ()) +let _ = assert_norm (test_split_list = Return ()) (** [no_nested_borrows::choose]: forward function *) -let choose_fwd (t : Type0) (b : bool) (x : t) (y : t) : result t = +let choose (t : Type0) (b : bool) (x : t) (y : t) : result t = if b then Return x else Return y (** [no_nested_borrows::choose]: backward function 0 *) @@ -184,8 +196,8 @@ let choose_back if b then Return (ret, y) else Return (x, ret) (** [no_nested_borrows::choose_test]: forward function *) -let choose_test_fwd : result unit = - let* z = choose_fwd i32 true 0 0 in +let choose_test : result unit = + let* z = choose i32 true 0 0 in let* z0 = i32_add z 1 in if not (z0 = 1) then Fail Failure @@ -196,115 +208,112 @@ let choose_test_fwd : result unit = else if not (y = 0) then Fail Failure else Return () (** Unit test for [no_nested_borrows::choose_test] *) -let _ = assert_norm (choose_test_fwd = Return ()) +let _ = assert_norm (choose_test = Return ()) (** [no_nested_borrows::test_char]: forward function *) -let test_char_fwd : result char = +let test_char : result char = Return 'a' (** [no_nested_borrows::Tree] *) type tree_t (t : Type0) = -| TreeLeaf : t -> tree_t t -| TreeNode : t -> node_elem_t t -> tree_t t -> tree_t t +| Tree_Leaf : t -> tree_t t +| Tree_Node : t -> nodeElem_t t -> tree_t t -> tree_t t (** [no_nested_borrows::NodeElem] *) -and node_elem_t (t : Type0) = -| NodeElemCons : tree_t t -> node_elem_t t -> node_elem_t t -| NodeElemNil : node_elem_t t +and nodeElem_t (t : Type0) = +| NodeElem_Cons : tree_t t -> nodeElem_t t -> nodeElem_t t +| NodeElem_Nil : nodeElem_t t (** [no_nested_borrows::list_length]: forward function *) -let rec list_length_fwd (t : Type0) (l : list_t t) : result u32 = +let rec list_length (t : Type0) (l : list_t t) : result u32 = begin match l with - | ListCons x l1 -> let* i = list_length_fwd t l1 in u32_add 1 i - | ListNil -> Return 0 + | List_Cons x l1 -> let* i = list_length t l1 in u32_add 1 i + | List_Nil -> Return 0 end (** [no_nested_borrows::list_nth_shared]: forward function *) -let rec list_nth_shared_fwd (t : Type0) (l : list_t t) (i : u32) : result t = +let rec list_nth_shared (t : Type0) (l : list_t t) (i : u32) : result t = begin match l with - | ListCons x tl -> + | List_Cons x tl -> if i = 0 then Return x - else let* i0 = u32_sub i 1 in list_nth_shared_fwd t tl i0 - | ListNil -> Fail Failure + else let* i0 = u32_sub i 1 in list_nth_shared t tl i0 + | List_Nil -> Fail Failure end (** [no_nested_borrows::list_nth_mut]: forward function *) -let rec list_nth_mut_fwd (t : Type0) (l : list_t t) (i : u32) : result t = +let rec list_nth_mut (t : Type0) (l : list_t t) (i : u32) : result t = begin match l with - | ListCons x tl -> - if i = 0 - then Return x - else let* i0 = u32_sub i 1 in list_nth_mut_fwd t tl i0 - | ListNil -> Fail Failure + | List_Cons x tl -> + if i = 0 then Return x else let* i0 = u32_sub i 1 in list_nth_mut t tl i0 + | List_Nil -> Fail Failure end (** [no_nested_borrows::list_nth_mut]: backward function 0 *) let rec list_nth_mut_back (t : Type0) (l : list_t t) (i : u32) (ret : t) : result (list_t t) = begin match l with - | ListCons x tl -> + | List_Cons x tl -> if i = 0 - then Return (ListCons ret tl) + then Return (List_Cons ret tl) else let* i0 = u32_sub i 1 in let* tl0 = list_nth_mut_back t tl i0 ret in - Return (ListCons x tl0) - | ListNil -> Fail Failure + Return (List_Cons x tl0) + | List_Nil -> Fail Failure end (** [no_nested_borrows::list_rev_aux]: forward function *) -let rec list_rev_aux_fwd +let rec list_rev_aux (t : Type0) (li : list_t t) (lo : list_t t) : result (list_t t) = begin match li with - | ListCons hd tl -> list_rev_aux_fwd t tl (ListCons hd lo) - | ListNil -> Return lo + | List_Cons hd tl -> list_rev_aux t tl (List_Cons hd lo) + | List_Nil -> Return lo end (** [no_nested_borrows::list_rev]: merged forward/backward function (there is a single backward function, and the forward function returns ()) *) -let list_rev_fwd_back (t : Type0) (l : list_t t) : result (list_t t) = - let li = mem_replace_fwd (list_t t) l ListNil in - list_rev_aux_fwd t li ListNil +let list_rev (t : Type0) (l : list_t t) : result (list_t t) = + let li = core_mem_replace (list_t t) l List_Nil in list_rev_aux t li List_Nil (** [no_nested_borrows::test_list_functions]: forward function *) -let test_list_functions_fwd : result unit = - let l = ListNil in - let l0 = ListCons 2 l in - let l1 = ListCons 1 l0 in - let* i = list_length_fwd i32 (ListCons 0 l1) in +let test_list_functions : result unit = + let l = List_Nil in + let l0 = List_Cons 2 l in + let l1 = List_Cons 1 l0 in + let* i = list_length i32 (List_Cons 0 l1) in if not (i = 3) then Fail Failure else - let* i0 = list_nth_shared_fwd i32 (ListCons 0 l1) 0 in + let* i0 = list_nth_shared i32 (List_Cons 0 l1) 0 in if not (i0 = 0) then Fail Failure else - let* i1 = list_nth_shared_fwd i32 (ListCons 0 l1) 1 in + let* i1 = list_nth_shared i32 (List_Cons 0 l1) 1 in if not (i1 = 1) then Fail Failure else - let* i2 = list_nth_shared_fwd i32 (ListCons 0 l1) 2 in + let* i2 = list_nth_shared i32 (List_Cons 0 l1) 2 in if not (i2 = 2) then Fail Failure else - let* ls = list_nth_mut_back i32 (ListCons 0 l1) 1 3 in - let* i3 = list_nth_shared_fwd i32 ls 0 in + let* ls = list_nth_mut_back i32 (List_Cons 0 l1) 1 3 in + let* i3 = list_nth_shared i32 ls 0 in if not (i3 = 0) then Fail Failure else - let* i4 = list_nth_shared_fwd i32 ls 1 in + let* i4 = list_nth_shared i32 ls 1 in if not (i4 = 3) then Fail Failure else - let* i5 = list_nth_shared_fwd i32 ls 2 in + let* i5 = list_nth_shared i32 ls 2 in if not (i5 = 2) then Fail Failure else Return () (** Unit test for [no_nested_borrows::test_list_functions] *) -let _ = assert_norm (test_list_functions_fwd = Return ()) +let _ = assert_norm (test_list_functions = Return ()) (** [no_nested_borrows::id_mut_pair1]: forward function *) -let id_mut_pair1_fwd (t1 t2 : Type0) (x : t1) (y : t2) : result (t1 & t2) = +let id_mut_pair1 (t1 t2 : Type0) (x : t1) (y : t2) : result (t1 & t2) = Return (x, y) (** [no_nested_borrows::id_mut_pair1]: backward function 0 *) @@ -313,7 +322,7 @@ let id_mut_pair1_back let (x0, x1) = ret in Return (x0, x1) (** [no_nested_borrows::id_mut_pair2]: forward function *) -let id_mut_pair2_fwd (t1 t2 : Type0) (p : (t1 & t2)) : result (t1 & t2) = +let id_mut_pair2 (t1 t2 : Type0) (p : (t1 & t2)) : result (t1 & t2) = let (x, x0) = p in Return (x, x0) (** [no_nested_borrows::id_mut_pair2]: backward function 0 *) @@ -322,7 +331,7 @@ let id_mut_pair2_back let (x, x0) = ret in Return (x, x0) (** [no_nested_borrows::id_mut_pair3]: forward function *) -let id_mut_pair3_fwd (t1 t2 : Type0) (x : t1) (y : t2) : result (t1 & t2) = +let id_mut_pair3 (t1 t2 : Type0) (x : t1) (y : t2) : result (t1 & t2) = Return (x, y) (** [no_nested_borrows::id_mut_pair3]: backward function 0 *) @@ -336,7 +345,7 @@ let id_mut_pair3_back'b Return ret (** [no_nested_borrows::id_mut_pair4]: forward function *) -let id_mut_pair4_fwd (t1 t2 : Type0) (p : (t1 & t2)) : result (t1 & t2) = +let id_mut_pair4 (t1 t2 : Type0) (p : (t1 & t2)) : result (t1 & t2) = let (x, x0) = p in Return (x, x0) (** [no_nested_borrows::id_mut_pair4]: backward function 0 *) @@ -350,81 +359,76 @@ let id_mut_pair4_back'b Return ret (** [no_nested_borrows::StructWithTuple] *) -type struct_with_tuple_t (t1 t2 : Type0) = { struct_with_tuple_p : (t1 & t2); } +type structWithTuple_t (t1 t2 : Type0) = { p : (t1 & t2); } (** [no_nested_borrows::new_tuple1]: forward function *) -let new_tuple1_fwd : result (struct_with_tuple_t u32 u32) = - Return { struct_with_tuple_p = (1, 2) } +let new_tuple1 : result (structWithTuple_t u32 u32) = + Return { p = (1, 2) } (** [no_nested_borrows::new_tuple2]: forward function *) -let new_tuple2_fwd : result (struct_with_tuple_t i16 i16) = - Return { struct_with_tuple_p = (1, 2) } +let new_tuple2 : result (structWithTuple_t i16 i16) = + Return { p = (1, 2) } (** [no_nested_borrows::new_tuple3]: forward function *) -let new_tuple3_fwd : result (struct_with_tuple_t u64 i64) = - Return { struct_with_tuple_p = (1, 2) } +let new_tuple3 : result (structWithTuple_t u64 i64) = + Return { p = (1, 2) } (** [no_nested_borrows::StructWithPair] *) -type struct_with_pair_t (t1 t2 : Type0) = -{ - struct_with_pair_p : pair_t t1 t2; -} +type structWithPair_t (t1 t2 : Type0) = { p : pair_t t1 t2; } (** [no_nested_borrows::new_pair1]: forward function *) -let new_pair1_fwd : result (struct_with_pair_t u32 u32) = - Return { struct_with_pair_p = { pair_x = 1; pair_y = 2 } } +let new_pair1 : result (structWithPair_t u32 u32) = + Return { p = { x = 1; y = 2 } } (** [no_nested_borrows::test_constants]: forward function *) -let test_constants_fwd : result unit = - let* swt = new_tuple1_fwd in - let (i, _) = swt.struct_with_tuple_p in +let test_constants : result unit = + let* swt = new_tuple1 in + let (i, _) = swt.p in if not (i = 1) then Fail Failure else - let* swt0 = new_tuple2_fwd in - let (i0, _) = swt0.struct_with_tuple_p in + let* swt0 = new_tuple2 in + let (i0, _) = swt0.p in if not (i0 = 1) then Fail Failure else - let* swt1 = new_tuple3_fwd in - let (i1, _) = swt1.struct_with_tuple_p in + let* swt1 = new_tuple3 in + let (i1, _) = swt1.p in if not (i1 = 1) then Fail Failure else - let* swp = new_pair1_fwd in - if not (swp.struct_with_pair_p.pair_x = 1) - then Fail Failure - else Return () + let* swp = new_pair1 in + if not (swp.p.x = 1) then Fail Failure else Return () (** Unit test for [no_nested_borrows::test_constants] *) -let _ = assert_norm (test_constants_fwd = Return ()) +let _ = assert_norm (test_constants = Return ()) (** [no_nested_borrows::test_weird_borrows1]: forward function *) -let test_weird_borrows1_fwd : result unit = +let test_weird_borrows1 : result unit = Return () (** Unit test for [no_nested_borrows::test_weird_borrows1] *) -let _ = assert_norm (test_weird_borrows1_fwd = Return ()) +let _ = assert_norm (test_weird_borrows1 = Return ()) (** [no_nested_borrows::test_mem_replace]: merged forward/backward function (there is a single backward function, and the forward function returns ()) *) -let test_mem_replace_fwd_back (px : u32) : result u32 = - let y = mem_replace_fwd u32 px 1 in +let test_mem_replace (px : u32) : result u32 = + let y = core_mem_replace u32 px 1 in if not (y = 0) then Fail Failure else Return 2 (** [no_nested_borrows::test_shared_borrow_bool1]: forward function *) -let test_shared_borrow_bool1_fwd (b : bool) : result u32 = +let test_shared_borrow_bool1 (b : bool) : result u32 = if b then Return 0 else Return 1 (** [no_nested_borrows::test_shared_borrow_bool2]: forward function *) -let test_shared_borrow_bool2_fwd : result u32 = +let test_shared_borrow_bool2 : result u32 = Return 0 (** [no_nested_borrows::test_shared_borrow_enum1]: forward function *) -let test_shared_borrow_enum1_fwd (l : list_t u32) : result u32 = - begin match l with | ListCons i l0 -> Return 1 | ListNil -> Return 0 end +let test_shared_borrow_enum1 (l : list_t u32) : result u32 = + begin match l with | List_Cons i l0 -> Return 1 | List_Nil -> Return 0 end (** [no_nested_borrows::test_shared_borrow_enum2]: forward function *) -let test_shared_borrow_enum2_fwd : result u32 = +let test_shared_borrow_enum2 : result u32 = Return 0 diff --git a/tests/fstar/misc/Paper.fst b/tests/fstar/misc/Paper.fst index e2d692c2..bfb710dc 100644 --- a/tests/fstar/misc/Paper.fst +++ b/tests/fstar/misc/Paper.fst @@ -7,19 +7,18 @@ open Primitives (** [paper::ref_incr]: merged forward/backward function (there is a single backward function, and the forward function returns ()) *) -let ref_incr_fwd_back (x : i32) : result i32 = +let ref_incr (x : i32) : result i32 = i32_add x 1 (** [paper::test_incr]: forward function *) -let test_incr_fwd : result unit = - let* x = ref_incr_fwd_back 0 in - if not (x = 1) then Fail Failure else Return () +let test_incr : result unit = + let* x = ref_incr 0 in if not (x = 1) then Fail Failure else Return () (** Unit test for [paper::test_incr] *) -let _ = assert_norm (test_incr_fwd = Return ()) +let _ = assert_norm (test_incr = Return ()) (** [paper::choose]: forward function *) -let choose_fwd (t : Type0) (b : bool) (x : t) (y : t) : result t = +let choose (t : Type0) (b : bool) (x : t) (y : t) : result t = if b then Return x else Return y (** [paper::choose]: backward function 0 *) @@ -28,8 +27,8 @@ let choose_back if b then Return (ret, y) else Return (x, ret) (** [paper::test_choose]: forward function *) -let test_choose_fwd : result unit = - let* z = choose_fwd i32 true 0 0 in +let test_choose : result unit = + let* z = choose i32 true 0 0 in let* z0 = i32_add z 1 in if not (z0 = 1) then Fail Failure @@ -40,62 +39,60 @@ let test_choose_fwd : result unit = else if not (y = 0) then Fail Failure else Return () (** Unit test for [paper::test_choose] *) -let _ = assert_norm (test_choose_fwd = Return ()) +let _ = assert_norm (test_choose = Return ()) (** [paper::List] *) type list_t (t : Type0) = -| ListCons : t -> list_t t -> list_t t -| ListNil : list_t t +| List_Cons : t -> list_t t -> list_t t +| List_Nil : list_t t (** [paper::list_nth_mut]: forward function *) -let rec list_nth_mut_fwd (t : Type0) (l : list_t t) (i : u32) : result t = +let rec list_nth_mut (t : Type0) (l : list_t t) (i : u32) : result t = begin match l with - | ListCons x tl -> - if i = 0 - then Return x - else let* i0 = u32_sub i 1 in list_nth_mut_fwd t tl i0 - | ListNil -> Fail Failure + | List_Cons x tl -> + if i = 0 then Return x else let* i0 = u32_sub i 1 in list_nth_mut t tl i0 + | List_Nil -> Fail Failure end (** [paper::list_nth_mut]: backward function 0 *) let rec list_nth_mut_back (t : Type0) (l : list_t t) (i : u32) (ret : t) : result (list_t t) = begin match l with - | ListCons x tl -> + | List_Cons x tl -> if i = 0 - then Return (ListCons ret tl) + then Return (List_Cons ret tl) else let* i0 = u32_sub i 1 in let* tl0 = list_nth_mut_back t tl i0 ret in - Return (ListCons x tl0) - | ListNil -> Fail Failure + Return (List_Cons x tl0) + | List_Nil -> Fail Failure end (** [paper::sum]: forward function *) -let rec sum_fwd (l : list_t i32) : result i32 = +let rec sum (l : list_t i32) : result i32 = begin match l with - | ListCons x tl -> let* i = sum_fwd tl in i32_add x i - | ListNil -> Return 0 + | List_Cons x tl -> let* i = sum tl in i32_add x i + | List_Nil -> Return 0 end (** [paper::test_nth]: forward function *) -let test_nth_fwd : result unit = - let l = ListNil in - let l0 = ListCons 3 l in - let l1 = ListCons 2 l0 in - let* x = list_nth_mut_fwd i32 (ListCons 1 l1) 2 in +let test_nth : result unit = + let l = List_Nil in + let l0 = List_Cons 3 l in + let l1 = List_Cons 2 l0 in + let* x = list_nth_mut i32 (List_Cons 1 l1) 2 in let* x0 = i32_add x 1 in - let* l2 = list_nth_mut_back i32 (ListCons 1 l1) 2 x0 in - let* i = sum_fwd l2 in + let* l2 = list_nth_mut_back i32 (List_Cons 1 l1) 2 x0 in + let* i = sum l2 in if not (i = 7) then Fail Failure else Return () (** Unit test for [paper::test_nth] *) -let _ = assert_norm (test_nth_fwd = Return ()) +let _ = assert_norm (test_nth = Return ()) (** [paper::call_choose]: forward function *) -let call_choose_fwd (p : (u32 & u32)) : result u32 = +let call_choose (p : (u32 & u32)) : result u32 = let (px, py) = p in - let* pz = choose_fwd u32 true px py in + let* pz = choose u32 true px py in let* pz0 = u32_add pz 1 in let* (px0, _) = choose_back u32 true px py pz0 in Return px0 diff --git a/tests/fstar/misc/PoloniusList.fst b/tests/fstar/misc/PoloniusList.fst index 79c86606..428c4210 100644 --- a/tests/fstar/misc/PoloniusList.fst +++ b/tests/fstar/misc/PoloniusList.fst @@ -7,25 +7,25 @@ open Primitives (** [polonius_list::List] *) type list_t (t : Type0) = -| ListCons : t -> list_t t -> list_t t -| ListNil : list_t t +| List_Cons : t -> list_t t -> list_t t +| List_Nil : list_t t (** [polonius_list::get_list_at_x]: forward function *) -let rec get_list_at_x_fwd (ls : list_t u32) (x : u32) : result (list_t u32) = +let rec get_list_at_x (ls : list_t u32) (x : u32) : result (list_t u32) = begin match ls with - | ListCons hd tl -> - if hd = x then Return (ListCons hd tl) else get_list_at_x_fwd tl x - | ListNil -> Return ListNil + | List_Cons hd tl -> + if hd = x then Return (List_Cons hd tl) else get_list_at_x tl x + | List_Nil -> Return List_Nil end (** [polonius_list::get_list_at_x]: backward function 0 *) let rec get_list_at_x_back (ls : list_t u32) (x : u32) (ret : list_t u32) : result (list_t u32) = begin match ls with - | ListCons hd tl -> + | List_Cons hd tl -> if hd = x then Return ret - else let* tl0 = get_list_at_x_back tl x ret in Return (ListCons hd tl0) - | ListNil -> Return ret + else let* tl0 = get_list_at_x_back tl x ret in Return (List_Cons hd tl0) + | List_Nil -> Return ret end diff --git a/tests/fstar/misc/Primitives.fst b/tests/fstar/misc/Primitives.fst index 9db82069..3297803c 100644 --- a/tests/fstar/misc/Primitives.fst +++ b/tests/fstar/misc/Primitives.fst @@ -55,8 +55,12 @@ type string = string let is_zero (n: nat) : bool = n = 0 let decrease (n: nat{n > 0}) : nat = n - 1 -let mem_replace_fwd (a : Type0) (x : a) (y : a) : a = x -let mem_replace_back (a : Type0) (x : a) (y : a) : a = y +let core_mem_replace (a : Type0) (x : a) (y : a) : a = x +let core_mem_replace_back (a : Type0) (x : a) (y : a) : a = y + +// 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 @@ -100,6 +104,11 @@ type scalar_ty = | 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 @@ -162,6 +171,15 @@ let scalar_sub (#ty : scalar_ty) (x : scalar ty) (y : scalar ty) : result (scala let scalar_mul (#ty : scalar_ty) (x : scalar ty) (y : scalar ty) : result (scalar ty) = mk_scalar ty (x * y) +let scalar_lxor (#ty : scalar_ty { is_unsigned ty && ty <> Usize }) + (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 + (** 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) = @@ -169,17 +187,44 @@ let scalar_cast (src_ty : scalar_ty) (tgt_ty : scalar_ty) (x : scalar src_ty) : /// 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 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 +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 @@ -231,7 +276,7 @@ let u32_add = scalar_add #U32 let u64_add = scalar_add #U64 let u128_add = scalar_add #U128 -/// Substraction +/// Subtraction let isize_sub = scalar_sub #Isize let i8_sub = scalar_sub #I8 let i16_sub = scalar_sub #I16 @@ -259,12 +304,65 @@ let u32_mul = scalar_mul #U32 let u64_mul = scalar_mul #U64 let u128_mul = scalar_mul #U128 -(*** Range *) -type range (a : Type0) = { +/// Logical operators, defined for unsigned types only, so far +let u8_xor = scalar_lxor #U8 +let u16_xor = scalar_lxor #U16 +let u32_xor = scalar_lxor #U32 +let u64_xor = scalar_lxor #U64 +let u128_xor = scalar_lxor #U128 + +(*** 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; + index_mut_back : self → idx → 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; + deref_mut_back : self → 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 = Return x +let alloc_boxed_Box_deref_mut (t : Type0) (x : t) : result t = Return x +let alloc_boxed_Box_deref_mut_back (t : Type) (_ : t) (x : t) : result t = Return 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; + deref_mut_back = alloc_boxed_Box_deref_mut_back self; +} + (*** Array *) type array (a : Type0) (n : usize) = s:list a{length s = n} @@ -278,15 +376,11 @@ let mk_array (a : Type0) (n : usize) normalize_term_spec (FStar.List.Tot.length l); l -let array_index_shared (a : Type0) (n : usize) (x : array a n) (i : usize) : result a = - if i < length x then Return (index x i) - else Fail Failure - -let array_index_mut_fwd (a : Type0) (n : usize) (x : array a n) (i : usize) : result a = +let array_index_usize (a : Type0) (n : usize) (x : array a n) (i : usize) : result a = if i < length x then Return (index x i) else Fail Failure -let array_index_mut_back (a : Type0) (n : usize) (x : array a n) (i : usize) (nx : a) : result (array a n) = +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 Return (list_update x i nx) else Fail Failure @@ -295,55 +389,54 @@ 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_shared (a : Type0) (x : slice a) (i : usize) : result a = +let slice_index_usize (a : Type0) (x : slice a) (i : usize) : result a = if i < length x then Return (index x i) else Fail Failure -let slice_index_mut_fwd (a : Type0) (x : slice a) (i : usize) : result a = - if i < length x then Return (index x i) - else Fail Failure - -let slice_index_mut_back (a : Type0) (x : slice a) (i : usize) (nx : a) : result (slice a) = +let slice_update_usize (a : Type0) (x : slice a) (i : usize) (nx : a) : result (slice a) = if i < length x then Return (list_update x i nx) else Fail Failure (*** Subslices *) -let array_to_slice_shared (a : Type0) (n : usize) (x : array a n) : result (slice a) = Return x -let array_to_slice_mut_fwd (a : Type0) (n : usize) (x : array a n) : result (slice a) = Return x -let array_to_slice_mut_back (a : Type0) (n : usize) (x : array a n) (s : slice a) : result (array a n) = +let array_to_slice (a : Type0) (n : usize) (x : array a n) : result (slice a) = Return 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 Return s else Fail Failure // TODO: finish the definitions below (there lacks [List.drop] and [List.take] in the standard library *) -let array_subslice_shared (a : Type0) (n : usize) (x : array a n) (r : range usize) : result (slice a) = - admit() - -let array_subslice_mut_fwd (a : Type0) (n : usize) (x : array a n) (r : range usize) : result (slice a) = +let array_subslice (a : Type0) (n : usize) (x : array a n) (r : core_ops_range_Range usize) : result (slice a) = admit() -let array_subslice_mut_back (a : Type0) (n : usize) (x : array a n) (r : range usize) (ns : slice a) : result (array a n) = +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 slice_subslice_shared (a : Type0) (x : slice a) (r : range usize) : result (slice a) = +let array_repeat (a : Type0) (n : usize) (x : a) : array a n = admit() -let slice_subslice_mut_fwd (a : Type0) (x : slice a) (r : range usize) : result (slice a) = +let slice_subslice (a : Type0) (x : slice a) (r : core_ops_range_Range usize) : result (slice a) = admit() -let slice_subslice_mut_back (a : Type0) (x : slice a) (r : range usize) (ns : slice a) : result (slice a) = +let slice_update_subslice (a : Type0) (x : slice a) (r : core_ops_range_Range usize) (ns : slice a) : result (slice a) = admit() (*** Vector *) -type vec (a : Type0) = v:list a{length v <= usize_max} +type alloc_vec_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 +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 Return (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 Return (list_update v i x) else Fail Failure // 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)) +let alloc_vec_Vec_push_fwd (a : Type0) (v : alloc_vec_Vec a) (x : a) : unit = () +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 @@ -358,18 +451,279 @@ let vec_push_back (a : Type0) (v : vec a) (x : a) : else Fail Failure // The **forward** function shouldn't be used -let vec_insert_fwd (a : Type0) (v : vec a) (i : usize) (x : a) : result unit = +let alloc_vec_Vec_insert_fwd (a : Type0) (v : alloc_vec_Vec a) (i : usize) (x : a) : result unit = if i < length v then Return () else Fail Failure -let vec_insert_back (a : Type0) (v : vec a) (i : usize) (x : a) : result (vec a) = +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 Return (list_update v i x) else Fail Failure -// 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 Failure -let vec_index_back (a : Type0) (v : vec a) (i : usize) (x : a) : result unit = - if i < length v then Return () 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); + get_mut_back : self → t → 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; + index_mut_back : self → t → output → result t; +} -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 Failure -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 Failure +// [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 -> Return x + +// [core::slice::index::Range:::get]: forward function +let core_slice_index_Range_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_Range_get_mut + (t : Type0) : core_ops_range_Range usize → slice t → result (option (slice t)) = + admit () // TODO + +// [core::slice::index::Range::get_mut]: backward function 0 +let core_slice_index_Range_get_mut_back + (t : Type0) : + core_ops_range_Range usize → slice t → option (slice t) → result (slice t) = + admit () // TODO + +// [core::slice::index::Range::get_unchecked]: forward function +let core_slice_index_Range_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_Range_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_Range_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_Range_index_mut + (t : Type0) : core_ops_range_Range usize → slice t → result (slice t) = + admit () // TODO + +// [core::slice::index::Range::index_mut]: backward function 0 +let core_slice_index_Range_index_mut_back + (t : Type0) : core_ops_range_Range usize → 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 = + admit () // + +// [core::slice::index::[T]::index_mut]: backward function 0 +let core_slice_index_Slice_index_mut_back + (t idx : Type0) (inst : core_slice_index_SliceIndex idx (slice t)) : + slice t → idx → inst.output → result (slice t) = + admit () // TODO + +// [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 = + admit () // TODO + +// [core::array::[T; N]::index_mut]: backward function 0 +let core_array_Array_index_mut_back + (t idx : Type0) (n : usize) (inst : core_ops_index_IndexMut (slice t) idx) + (a : array t n) (i : idx) (x : inst.indexInst.output) : result (array t n) = + admit () // TODO + +// Trait implementation: [core::slice::index::[T]] +let core_slice_index_Slice_coreopsindexIndexInst (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::private_slice_index::Range] +let core_slice_index_private_slice_index_Range_coresliceindexprivate_slice_indexSealedInst + : core_slice_index_private_slice_index_Sealed (core_ops_range_Range usize) = () + +// Trait implementation: [core::slice::index::Range] +let core_slice_index_Range_coresliceindexSliceIndexInst (t : Type0) : + core_slice_index_SliceIndex (core_ops_range_Range usize) (slice t) = { + sealedInst = core_slice_index_private_slice_index_Range_coresliceindexprivate_slice_indexSealedInst; + output = slice t; + get = core_slice_index_Range_get t; + get_mut = core_slice_index_Range_get_mut t; + get_mut_back = core_slice_index_Range_get_mut_back t; + get_unchecked = core_slice_index_Range_get_unchecked t; + get_unchecked_mut = core_slice_index_Range_get_unchecked_mut t; + index = core_slice_index_Range_index t; + index_mut = core_slice_index_Range_index_mut t; + index_mut_back = core_slice_index_Range_index_mut_back t; +} + +// Trait implementation: [core::slice::index::[T]] +let core_slice_index_Slice_coreopsindexIndexMutInst (t idx : Type0) + (inst : core_slice_index_SliceIndex idx (slice t)) : + core_ops_index_IndexMut (slice t) idx = { + indexInst = core_slice_index_Slice_coreopsindexIndexInst t idx inst; + index_mut = core_slice_index_Slice_index_mut t idx inst; + index_mut_back = core_slice_index_Slice_index_mut_back t idx inst; +} + +// Trait implementation: [core::array::[T; N]] +let core_array_Array_coreopsindexIndexInst (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_array_Array_coreopsindexIndexMutInst (t idx : Type0) (n : usize) + (inst : core_ops_index_IndexMut (slice t) idx) : + core_ops_index_IndexMut (array t n) idx = { + indexInst = core_array_Array_coreopsindexIndexInst t idx n inst.indexInst; + index_mut = core_array_Array_index_mut t idx n inst; + index_mut_back = core_array_Array_index_mut_back 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) = + admit () // TODO + +// [core::slice::index::usize::get_mut]: backward function 0 +let core_slice_index_usize_get_mut_back + (t : Type0) : usize → slice 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 = + admit () // TODO + +// [core::slice::index::usize::index_mut]: backward function 0 +let core_slice_index_usize_index_mut_back + (t : Type0) : usize → slice t → t → result (slice t) = + admit () // TODO + +// Trait implementation: [core::slice::index::private_slice_index::usize] +let core_slice_index_private_slice_index_usize_coresliceindexprivate_slice_indexSealedInst + : core_slice_index_private_slice_index_Sealed usize = () + +// Trait implementation: [core::slice::index::usize] +let core_slice_index_usize_coresliceindexSliceIndexInst (t : Type0) : + core_slice_index_SliceIndex usize (slice t) = { + sealedInst = core_slice_index_private_slice_index_usize_coresliceindexprivate_slice_indexSealedInst; + output = t; + get = core_slice_index_usize_get t; + get_mut = core_slice_index_usize_get_mut t; + get_mut_back = core_slice_index_usize_get_mut_back 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; + index_mut_back = core_slice_index_usize_index_mut_back 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 = + admit () // TODO + +// [alloc::vec::Vec::index_mut]: backward function 0 +let alloc_vec_Vec_index_mut_back + (t idx : Type0) (inst : core_slice_index_SliceIndex idx (slice t)) + (self : alloc_vec_Vec t) (i : idx) (x : 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; + index_mut_back = alloc_vec_Vec_index_mut_back 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_usize_coresliceindexSliceIndexInst a) v i == + alloc_vec_Vec_index_usize v i) + [SMTPat (alloc_vec_Vec_index a usize (core_slice_index_usize_coresliceindexSliceIndexInst 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_usize_coresliceindexSliceIndexInst a) v i == + alloc_vec_Vec_index_usize v i) + [SMTPat (alloc_vec_Vec_index_mut a usize (core_slice_index_usize_coresliceindexSliceIndexInst a) v i)] + = + admit() + +let alloc_vec_Vec_index_mut_back_eq (#a : Type0) (v : alloc_vec_Vec a) (i : usize) (x : a) : + Lemma ( + alloc_vec_Vec_index_mut_back a usize (core_slice_index_usize_coresliceindexSliceIndexInst a) v i x == + alloc_vec_Vec_update_usize v i x) + [SMTPat (alloc_vec_Vec_index_mut_back a usize (core_slice_index_usize_coresliceindexSliceIndexInst a) v i x)] + = + admit() diff --git a/tests/fstar/traits/Makefile b/tests/fstar/traits/Makefile new file mode 100644 index 00000000..fa7d1f36 --- /dev/null +++ b/tests/fstar/traits/Makefile @@ -0,0 +1,49 @@ +# 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/traits/Primitives.fst b/tests/fstar/traits/Primitives.fst new file mode 100644 index 00000000..3297803c --- /dev/null +++ b/tests/fstar/traits/Primitives.fst @@ -0,0 +1,729 @@ +/// 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 = +| Return : v:a -> result a +| Fail : e:error -> result a + +// Monadic return operator +unfold let return (#a : Type0) (x : a) : result a = Return 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 == Return x)) (ensures fun _ -> True)) : + result b = + match m with + | Return x -> f x + | Fail e -> Fail e + +// Monadic assert(...) +let massert (b:bool) : result unit = if b then Return () else Fail Failure + +// Normalize and unwrap a successful result (used for globals). +let eval_global (#a : Type0) (x : result a{Return? (normalize_term x)}) : a = Return?.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 = x +let core_mem_replace_back (a : Type0) (x : a) (y : a) : a = y + +// 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 + +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 Return 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_lxor (#ty : scalar_ty { is_unsigned ty && ty <> Usize }) + (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 + +(** 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 + +/// 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 + +/// Logical operators, defined for unsigned types only, so far +let u8_xor = scalar_lxor #U8 +let u16_xor = scalar_lxor #U16 +let u32_xor = scalar_lxor #U32 +let u64_xor = scalar_lxor #U64 +let u128_xor = scalar_lxor #U128 + +(*** 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; + index_mut_back : self → idx → 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; + deref_mut_back : self → 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 = Return x +let alloc_boxed_Box_deref_mut (t : Type0) (x : t) : result t = Return x +let alloc_boxed_Box_deref_mut_back (t : Type) (_ : t) (x : t) : result t = Return 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; + deref_mut_back = alloc_boxed_Box_deref_mut_back 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 Return (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 Return (list_update x i nx) + else Fail Failure + +(*** 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 Return (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 Return (list_update x i nx) + else Fail Failure + +(*** Subslices *) + +let array_to_slice (a : Type0) (n : usize) (x : array a n) : result (slice a) = Return 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 Return s + else Fail Failure + +// 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 Return (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 Return (list_update v i x) else Fail Failure + +// The **forward** function shouldn't be used +let alloc_vec_Vec_push_fwd (a : Type0) (v : alloc_vec_Vec a) (x : a) : unit = () +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 + | 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 Failure + +// The **forward** function shouldn't be used +let alloc_vec_Vec_insert_fwd (a : Type0) (v : alloc_vec_Vec a) (i : usize) (x : a) : result unit = + if i < length v then Return () 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 Return (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); + get_mut_back : self → t → 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; + index_mut_back : self → t → 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 -> Return x + +// [core::slice::index::Range:::get]: forward function +let core_slice_index_Range_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_Range_get_mut + (t : Type0) : core_ops_range_Range usize → slice t → result (option (slice t)) = + admit () // TODO + +// [core::slice::index::Range::get_mut]: backward function 0 +let core_slice_index_Range_get_mut_back + (t : Type0) : + core_ops_range_Range usize → slice t → option (slice t) → result (slice t) = + admit () // TODO + +// [core::slice::index::Range::get_unchecked]: forward function +let core_slice_index_Range_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_Range_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_Range_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_Range_index_mut + (t : Type0) : core_ops_range_Range usize → slice t → result (slice t) = + admit () // TODO + +// [core::slice::index::Range::index_mut]: backward function 0 +let core_slice_index_Range_index_mut_back + (t : Type0) : core_ops_range_Range usize → 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 = + admit () // + +// [core::slice::index::[T]::index_mut]: backward function 0 +let core_slice_index_Slice_index_mut_back + (t idx : Type0) (inst : core_slice_index_SliceIndex idx (slice t)) : + slice t → idx → inst.output → result (slice t) = + admit () // TODO + +// [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 = + admit () // TODO + +// [core::array::[T; N]::index_mut]: backward function 0 +let core_array_Array_index_mut_back + (t idx : Type0) (n : usize) (inst : core_ops_index_IndexMut (slice t) idx) + (a : array t n) (i : idx) (x : inst.indexInst.output) : result (array t n) = + admit () // TODO + +// Trait implementation: [core::slice::index::[T]] +let core_slice_index_Slice_coreopsindexIndexInst (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::private_slice_index::Range] +let core_slice_index_private_slice_index_Range_coresliceindexprivate_slice_indexSealedInst + : core_slice_index_private_slice_index_Sealed (core_ops_range_Range usize) = () + +// Trait implementation: [core::slice::index::Range] +let core_slice_index_Range_coresliceindexSliceIndexInst (t : Type0) : + core_slice_index_SliceIndex (core_ops_range_Range usize) (slice t) = { + sealedInst = core_slice_index_private_slice_index_Range_coresliceindexprivate_slice_indexSealedInst; + output = slice t; + get = core_slice_index_Range_get t; + get_mut = core_slice_index_Range_get_mut t; + get_mut_back = core_slice_index_Range_get_mut_back t; + get_unchecked = core_slice_index_Range_get_unchecked t; + get_unchecked_mut = core_slice_index_Range_get_unchecked_mut t; + index = core_slice_index_Range_index t; + index_mut = core_slice_index_Range_index_mut t; + index_mut_back = core_slice_index_Range_index_mut_back t; +} + +// Trait implementation: [core::slice::index::[T]] +let core_slice_index_Slice_coreopsindexIndexMutInst (t idx : Type0) + (inst : core_slice_index_SliceIndex idx (slice t)) : + core_ops_index_IndexMut (slice t) idx = { + indexInst = core_slice_index_Slice_coreopsindexIndexInst t idx inst; + index_mut = core_slice_index_Slice_index_mut t idx inst; + index_mut_back = core_slice_index_Slice_index_mut_back t idx inst; +} + +// Trait implementation: [core::array::[T; N]] +let core_array_Array_coreopsindexIndexInst (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_array_Array_coreopsindexIndexMutInst (t idx : Type0) (n : usize) + (inst : core_ops_index_IndexMut (slice t) idx) : + core_ops_index_IndexMut (array t n) idx = { + indexInst = core_array_Array_coreopsindexIndexInst t idx n inst.indexInst; + index_mut = core_array_Array_index_mut t idx n inst; + index_mut_back = core_array_Array_index_mut_back 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) = + admit () // TODO + +// [core::slice::index::usize::get_mut]: backward function 0 +let core_slice_index_usize_get_mut_back + (t : Type0) : usize → slice 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 = + admit () // TODO + +// [core::slice::index::usize::index_mut]: backward function 0 +let core_slice_index_usize_index_mut_back + (t : Type0) : usize → slice t → t → result (slice t) = + admit () // TODO + +// Trait implementation: [core::slice::index::private_slice_index::usize] +let core_slice_index_private_slice_index_usize_coresliceindexprivate_slice_indexSealedInst + : core_slice_index_private_slice_index_Sealed usize = () + +// Trait implementation: [core::slice::index::usize] +let core_slice_index_usize_coresliceindexSliceIndexInst (t : Type0) : + core_slice_index_SliceIndex usize (slice t) = { + sealedInst = core_slice_index_private_slice_index_usize_coresliceindexprivate_slice_indexSealedInst; + output = t; + get = core_slice_index_usize_get t; + get_mut = core_slice_index_usize_get_mut t; + get_mut_back = core_slice_index_usize_get_mut_back 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; + index_mut_back = core_slice_index_usize_index_mut_back 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 = + admit () // TODO + +// [alloc::vec::Vec::index_mut]: backward function 0 +let alloc_vec_Vec_index_mut_back + (t idx : Type0) (inst : core_slice_index_SliceIndex idx (slice t)) + (self : alloc_vec_Vec t) (i : idx) (x : 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; + index_mut_back = alloc_vec_Vec_index_mut_back 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_usize_coresliceindexSliceIndexInst a) v i == + alloc_vec_Vec_index_usize v i) + [SMTPat (alloc_vec_Vec_index a usize (core_slice_index_usize_coresliceindexSliceIndexInst 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_usize_coresliceindexSliceIndexInst a) v i == + alloc_vec_Vec_index_usize v i) + [SMTPat (alloc_vec_Vec_index_mut a usize (core_slice_index_usize_coresliceindexSliceIndexInst a) v i)] + = + admit() + +let alloc_vec_Vec_index_mut_back_eq (#a : Type0) (v : alloc_vec_Vec a) (i : usize) (x : a) : + Lemma ( + alloc_vec_Vec_index_mut_back a usize (core_slice_index_usize_coresliceindexSliceIndexInst a) v i x == + alloc_vec_Vec_update_usize v i x) + [SMTPat (alloc_vec_Vec_index_mut_back a usize (core_slice_index_usize_coresliceindexSliceIndexInst a) v i x)] + = + admit() diff --git a/tests/fstar/traits/Traits.fst b/tests/fstar/traits/Traits.fst new file mode 100644 index 00000000..318efa2b --- /dev/null +++ b/tests/fstar/traits/Traits.fst @@ -0,0 +1,371 @@ +(** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *) +(** [traits] *) +module Traits +open Primitives + +#set-options "--z3rlimit 50 --fuel 1 --ifuel 1" + +(** Trait declaration: [traits::BoolTrait] *) +noeq type boolTrait_t (self : Type0) = { get_bool : self -> result bool; } + +(** [traits::Bool::{0}::get_bool]: forward function *) +let bool_get_bool (self : bool) : result bool = + Return self + +(** Trait implementation: [traits::Bool::{0}] *) +let bool_BoolTraitInst : boolTrait_t bool = { get_bool = bool_get_bool; } + +(** [traits::BoolTrait::ret_true]: forward function *) +let boolTrait_ret_true + (#self : Type0) (self_clause : boolTrait_t self) (self0 : self) : + result bool + = + Return true + +(** [traits::test_bool_trait_bool]: forward function *) +let test_bool_trait_bool (x : bool) : result bool = + let* b = bool_get_bool x in + if b then boolTrait_ret_true bool_BoolTraitInst x else Return false + +(** [traits::Option::{1}::get_bool]: forward function *) +let option_get_bool (t : Type0) (self : option t) : result bool = + begin match self with | None -> Return false | Some x -> Return true end + +(** Trait implementation: [traits::Option::{1}] *) +let option_BoolTraitInst (t : Type0) : boolTrait_t (option t) = { + get_bool = option_get_bool t; +} + +(** [traits::test_bool_trait_option]: forward function *) +let test_bool_trait_option (t : Type0) (x : option t) : result bool = + let* b = option_get_bool t x in + if b then boolTrait_ret_true (option_BoolTraitInst t) x else Return false + +(** [traits::test_bool_trait]: forward function *) +let test_bool_trait (t : Type0) (inst : boolTrait_t t) (x : t) : result bool = + inst.get_bool x + +(** Trait declaration: [traits::ToU64] *) +noeq type toU64_t (self : Type0) = { to_u64 : self -> result u64; } + +(** [traits::u64::{2}::to_u64]: forward function *) +let u64_to_u64 (self : u64) : result u64 = + Return self + +(** Trait implementation: [traits::u64::{2}] *) +let u64_ToU64Inst : toU64_t u64 = { to_u64 = u64_to_u64; } + +(** [traits::Tuple2::{3}::to_u64]: forward function *) +let tuple2_to_u64 + (a : Type0) (inst : toU64_t a) (self : (a & a)) : result u64 = + let (x, x0) = self in + let* i = inst.to_u64 x in + let* i0 = inst.to_u64 x0 in + u64_add i i0 + +(** Trait implementation: [traits::Tuple2::{3}] *) +let tuple2_ToU64Inst (a : Type0) (inst : toU64_t a) : toU64_t (a & a) = { + to_u64 = tuple2_to_u64 a inst; +} + +(** [traits::f]: forward function *) +let f (t : Type0) (inst : toU64_t t) (x : (t & t)) : result u64 = + tuple2_to_u64 t inst x + +(** [traits::g]: forward function *) +let g (t : Type0) (inst : toU64_t (t & t)) (x : (t & t)) : result u64 = + inst.to_u64 x + +(** [traits::h0]: forward function *) +let h0 (x : u64) : result u64 = + u64_to_u64 x + +(** [traits::Wrapper] *) +type wrapper_t (t : Type0) = { x : t; } + +(** [traits::Wrapper::{4}::to_u64]: forward function *) +let wrapper_to_u64 + (t : Type0) (inst : toU64_t t) (self : wrapper_t t) : result u64 = + inst.to_u64 self.x + +(** Trait implementation: [traits::Wrapper::{4}] *) +let wrapper_ToU64Inst (t : Type0) (inst : toU64_t t) : toU64_t (wrapper_t t) + = { + to_u64 = wrapper_to_u64 t inst; +} + +(** [traits::h1]: forward function *) +let h1 (x : wrapper_t u64) : result u64 = + wrapper_to_u64 u64 u64_ToU64Inst x + +(** [traits::h2]: forward function *) +let h2 (t : Type0) (inst : toU64_t t) (x : wrapper_t t) : result u64 = + wrapper_to_u64 t inst x + +(** Trait declaration: [traits::ToType] *) +noeq type toType_t (self t : Type0) = { to_type : self -> result t; } + +(** [traits::u64::{5}::to_type]: forward function *) +let u64_to_type (self : u64) : result bool = + Return (self > 0) + +(** Trait implementation: [traits::u64::{5}] *) +let u64_ToTypeInst : toType_t u64 bool = { to_type = u64_to_type; } + +(** Trait declaration: [traits::OfType] *) +noeq type ofType_t (self : Type0) = { + of_type : (t : Type0) -> (inst : toType_t t self) -> t -> result self; +} + +(** [traits::h3]: forward function *) +let h3 + (t1 t2 : Type0) (inst : ofType_t t1) (inst0 : toType_t t2 t1) (y : t2) : + result t1 + = + inst.of_type t2 inst0 y + +(** Trait declaration: [traits::OfTypeBis] *) +noeq type ofTypeBis_t (self t : Type0) = { + parent_clause_0 : toType_t t self; + of_type : t -> result self; +} + +(** [traits::h4]: forward function *) +let h4 + (t1 t2 : Type0) (inst : ofTypeBis_t t1 t2) (inst0 : toType_t t2 t1) + (y : t2) : + result t1 + = + inst.of_type y + +(** [traits::TestType] *) +type testType_t (t : Type0) = { _0 : t; } + +(** [traits::TestType::{6}::test::TestType1] *) +type testType_test_TestType1_t = { _0 : u64; } + +(** Trait declaration: [traits::TestType::{6}::test::TestTrait] *) +noeq type testType_test_TestTrait_t (self : Type0) = { + test : self -> result bool; +} + +(** [traits::TestType::{6}::test::TestType1::{0}::test]: forward function *) +let testType_test_TestType1_test + (self : testType_test_TestType1_t) : result bool = + Return (self._0 > 1) + +(** Trait implementation: [traits::TestType::{6}::test::TestType1::{0}] *) +let testType_test_TestType1_TestType_test_TestTraitInst : + testType_test_TestTrait_t testType_test_TestType1_t = { + test = testType_test_TestType1_test; +} + +(** [traits::TestType::{6}::test]: forward function *) +let testType_test + (t : Type0) (inst : toU64_t t) (self : testType_t t) (x : t) : result bool = + let* x0 = inst.to_u64 x in + if x0 > 0 then testType_test_TestType1_test { _0 = 0 } else Return false + +(** [traits::BoolWrapper] *) +type boolWrapper_t = { _0 : bool; } + +(** [traits::BoolWrapper::{7}::to_type]: forward function *) +let boolWrapper_to_type + (t : Type0) (inst : toType_t bool t) (self : boolWrapper_t) : result t = + inst.to_type self._0 + +(** Trait implementation: [traits::BoolWrapper::{7}] *) +let boolWrapper_ToTypeInst (t : Type0) (inst : toType_t bool t) : toType_t + boolWrapper_t t = { + to_type = boolWrapper_to_type t inst; +} + +(** [traits::WithConstTy::LEN2] *) +let with_const_ty_len2_body : result usize = Return 32 +let with_const_ty_len2_c : usize = eval_global with_const_ty_len2_body + +(** Trait declaration: [traits::WithConstTy] *) +noeq type withConstTy_t (self : Type0) (len : usize) = { + cLEN1 : usize; + cLEN2 : usize; + tV : Type0; + tW : Type0; + tW_clause_0 : toU64_t tW; + f : tW -> array u8 len -> result tW; +} + +(** [traits::Bool::{8}::LEN1] *) +let bool_len1_body : result usize = Return 12 +let bool_len1_c : usize = eval_global bool_len1_body + +(** [traits::Bool::{8}::f]: merged forward/backward function + (there is a single backward function, and the forward function returns ()) *) +let bool_f (i : u64) (a : array u8 32) : result u64 = + Return i + +(** Trait implementation: [traits::Bool::{8}] *) +let bool_WithConstTyInst : withConstTy_t bool 32 = { + cLEN1 = bool_len1_c; + cLEN2 = with_const_ty_len2_c; + tV = u8; + tW = u64; + tW_clause_0 = u64_ToU64Inst; + f = bool_f; +} + +(** [traits::use_with_const_ty1]: forward function *) +let use_with_const_ty1 + (h : Type0) (len : usize) (inst : withConstTy_t h len) : result usize = + let i = inst.cLEN1 in Return i + +(** [traits::use_with_const_ty2]: forward function *) +let use_with_const_ty2 + (h : Type0) (len : usize) (inst : withConstTy_t h len) (w : inst.tW) : + result unit + = + Return () + +(** [traits::use_with_const_ty3]: forward function *) +let use_with_const_ty3 + (h : Type0) (len : usize) (inst : withConstTy_t h len) (x : inst.tW) : + result u64 + = + inst.tW_clause_0.to_u64 x + +(** [traits::test_where1]: forward function *) +let test_where1 (t : Type0) (_x : t) : result unit = + Return () + +(** [traits::test_where2]: forward function *) +let test_where2 + (t : Type0) (inst : withConstTy_t t 32) (_x : u32) : result unit = + Return () + +(** [alloc::string::String] *) +assume type alloc_string_String_t : Type0 + +(** Trait declaration: [traits::ParentTrait0] *) +noeq type parentTrait0_t (self : Type0) = { + tW : Type0; + get_name : self -> result alloc_string_String_t; + get_w : self -> result tW; +} + +(** Trait declaration: [traits::ParentTrait1] *) +type parentTrait1_t (self : Type0) = unit + +(** Trait declaration: [traits::ChildTrait] *) +noeq type childTrait_t (self : Type0) = { + parent_clause_0 : parentTrait0_t self; + parent_clause_1 : parentTrait1_t self; +} + +(** [traits::test_child_trait1]: forward function *) +let test_child_trait1 + (t : Type0) (inst : childTrait_t t) (x : t) : result alloc_string_String_t = + inst.parent_clause_0.get_name x + +(** [traits::test_child_trait2]: forward function *) +let test_child_trait2 + (t : Type0) (inst : childTrait_t t) (x : t) : + result inst.parent_clause_0.tW + = + inst.parent_clause_0.get_w x + +(** [traits::order1]: forward function *) +let order1 + (t u : Type0) (inst : parentTrait0_t t) (inst0 : parentTrait0_t u) : + result unit + = + Return () + +(** Trait declaration: [traits::ChildTrait1] *) +noeq type childTrait1_t (self : Type0) = { + parent_clause_0 : parentTrait1_t self; +} + +(** Trait implementation: [traits::usize::{9}] *) +let usize_ParentTrait1Inst : parentTrait1_t usize = () + +(** Trait implementation: [traits::usize::{10}] *) +let usize_ChildTrait1Inst : childTrait1_t usize = { + parent_clause_0 = usize_ParentTrait1Inst; +} + +(** Trait declaration: [traits::Iterator] *) +noeq type iterator_t (self : Type0) = { tItem : Type0; } + +(** Trait declaration: [traits::IntoIterator] *) +noeq type intoIterator_t (self : Type0) = { + tItem : Type0; + tIntoIter : Type0; + tIntoIter_clause_0 : iterator_t tIntoIter; + into_iter : self -> result tIntoIter; +} + +(** Trait declaration: [traits::FromResidual] *) +type fromResidual_t (self t : Type0) = unit + +(** Trait declaration: [traits::Try] *) +noeq type try_t (self : Type0) = { + tResidual : Type0; + parent_clause_0 : fromResidual_t self tResidual; +} + +(** Trait declaration: [traits::WithTarget] *) +noeq type withTarget_t (self : Type0) = { tTarget : Type0; } + +(** Trait declaration: [traits::ParentTrait2] *) +noeq type parentTrait2_t (self : Type0) = { + tU : Type0; + tU_clause_0 : withTarget_t tU; +} + +(** Trait declaration: [traits::ChildTrait2] *) +noeq type childTrait2_t (self : Type0) = { + parent_clause_0 : parentTrait2_t self; + convert : parent_clause_0.tU -> result parent_clause_0.tU_clause_0.tTarget; +} + +(** Trait implementation: [traits::u32::{11}] *) +let u32_WithTargetInst : withTarget_t u32 = { tTarget = u32; } + +(** Trait implementation: [traits::u32::{12}] *) +let u32_ParentTrait2Inst : parentTrait2_t u32 = { + tU = u32; + tU_clause_0 = u32_WithTargetInst; +} + +(** [traits::u32::{13}::convert]: forward function *) +let u32_convert (x : u32) : result u32 = + Return x + +(** Trait implementation: [traits::u32::{13}] *) +let u32_ChildTrait2Inst : childTrait2_t u32 = { + parent_clause_0 = u32_ParentTrait2Inst; + convert = u32_convert; +} + +(** [traits::incr_u32]: forward function *) +let incr_u32 (x : u32) : result u32 = + u32_add x 1 + +(** Trait declaration: [traits::CFnOnce] *) +noeq type cFnOnce_t (self args : Type0) = { + tOutput : Type0; + call_once : self -> args -> result tOutput; +} + +(** Trait declaration: [traits::CFnMut] *) +noeq type cFnMut_t (self args : Type0) = { + parent_clause_0 : cFnOnce_t self args; + call_mut : self -> args -> result parent_clause_0.tOutput; + call_mut_back : self -> args -> parent_clause_0.tOutput -> result self; +} + +(** Trait declaration: [traits::CFn] *) +noeq type cFn_t (self args : Type0) = { + parent_clause_0 : cFnMut_t self args; + call_mut : self -> args -> result parent_clause_0.parent_clause_0.tOutput; +} + |